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solutions</title> <meta name="description" content="Search results for: oscillatory solutions"> <meta name="keywords" content="oscillatory solutions"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none 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action="https://publications.waset.org/abstracts/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="oscillatory solutions"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 3974</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: oscillatory solutions</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3974</span> Rough Oscillatory Singular Integrals on Rⁿ</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=H.%20M.%20Al-Qassem">H. M. Al-Qassem</a>, <a href="https://publications.waset.org/abstracts/search?q=L.%20Cheng"> L. Cheng</a>, <a href="https://publications.waset.org/abstracts/search?q=Y.%20Pan"> Y. Pan </a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper we establish sharp bounds for oscillatory singular integrals with an arbitrary real polynomial phase P. Our kernels are allowed to be rough both on the unit sphere and in the radial direction. We show that the bounds grow no faster than log(deg(P)), which is optimal and was first obtained by Parissis and Papadimitrakis for kernels without any radial roughness. Among key ingredients of our methods are an L¹→L² estimate and extrapolation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=oscillatory%20singular%20integral" title="oscillatory singular integral">oscillatory singular integral</a>, <a href="https://publications.waset.org/abstracts/search?q=rough%20kernel" title=" rough kernel"> rough kernel</a>, <a href="https://publications.waset.org/abstracts/search?q=singular%20integral" title=" singular integral"> singular integral</a>, <a href="https://publications.waset.org/abstracts/search?q=Orlicz%20spaces" title=" Orlicz spaces"> Orlicz spaces</a>, <a href="https://publications.waset.org/abstracts/search?q=Block%20spaces" title=" Block spaces"> Block spaces</a>, <a href="https://publications.waset.org/abstracts/search?q=extrapolation" title=" extrapolation"> extrapolation</a>, <a href="https://publications.waset.org/abstracts/search?q=L%5E%7Bp%7D%20boundedness" title=" L^{p} boundedness"> L^{p} boundedness</a> </p> <a href="https://publications.waset.org/abstracts/2152/rough-oscillatory-singular-integrals-on-r" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/2152.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">357</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3973</span> Oscillatory Electroosmotic Flow in a Microchannel with Slippage at the Walls and Asymmetric Wall Zeta Potentials</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Oscar%20Bautista">Oscar Bautista</a>, <a href="https://publications.waset.org/abstracts/search?q=Jose%20Arcos"> Jose Arcos</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this work, we conduct a theoretical analysis of an oscillatory electroosmotic flow in a parallel-plate microchannel taking into account slippage at the microchannel walls. The governing equations given by the Poisson-Boltzmann (with the Debye-Huckel approximation) and momentum equations are nondimensionalized from which four dimensionless parameters appear; a Reynolds angular number, the ratio between the zeta potentials of the microchannel walls, the electrokinetic parameter and the dimensionless slip length which measures the competition between the Navier slip length and the half height microchannel. The principal results indicate that the slippage has a strong influence on the magnitude of the oscillatory electroosmotic flow increasing the velocity magnitude up to 50% for the numerical values used in this work. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=electroosmotic%20flows" title="electroosmotic flows">electroosmotic flows</a>, <a href="https://publications.waset.org/abstracts/search?q=oscillatory%20flow" title=" oscillatory flow"> oscillatory flow</a>, <a href="https://publications.waset.org/abstracts/search?q=slippage" title=" slippage"> slippage</a>, <a href="https://publications.waset.org/abstracts/search?q=microchannel" title=" microchannel"> microchannel</a> </p> <a href="https://publications.waset.org/abstracts/100473/oscillatory-electroosmotic-flow-in-a-microchannel-with-slippage-at-the-walls-and-asymmetric-wall-zeta-potentials" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/100473.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">224</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3972</span> Sharp Estimates of Oscillatory Singular Integrals with Rough Kernels </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=H.%20Al-Qassem">H. Al-Qassem</a>, <a href="https://publications.waset.org/abstracts/search?q=L.%20Cheng"> L. Cheng</a>, <a href="https://publications.waset.org/abstracts/search?q=Y.%20Pan"> Y. Pan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we establish sharp bounds for oscillatory singular integrals with an arbitrary real polynomial phase P. Our kernels are allowed to be rough both on the unit sphere and in the radial direction. We show that the bounds grow no faster than log (deg(P)), which is optimal and was first obtained by Parissis and Papadimitrakis for kernels without any radial roughness. Our results substantially improve many previously known results. Among key ingredients of our methods are an L¹→L² sharp estimate and using extrapolation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=oscillatory%20singular%20integral" title="oscillatory singular integral">oscillatory singular integral</a>, <a href="https://publications.waset.org/abstracts/search?q=rough%20kernel" title=" rough kernel"> rough kernel</a>, <a href="https://publications.waset.org/abstracts/search?q=singular%20integral" title=" singular integral"> singular integral</a>, <a href="https://publications.waset.org/abstracts/search?q=orlicz%20spaces" title=" orlicz spaces"> orlicz spaces</a>, <a href="https://publications.waset.org/abstracts/search?q=block%20spaces" title=" block spaces"> block spaces</a>, <a href="https://publications.waset.org/abstracts/search?q=extrapolation" title=" extrapolation"> extrapolation</a>, <a href="https://publications.waset.org/abstracts/search?q=L%5E%7Bp%7D%20boundedness" title=" L^{p} boundedness"> L^{p} boundedness</a> </p> <a href="https://publications.waset.org/abstracts/40363/sharp-estimates-of-oscillatory-singular-integrals-with-rough-kernels" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/40363.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">456</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3971</span> Zero-Dissipative Explicit Runge-Kutta Method for Periodic Initial Value Problems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=N.%20Senu">N. Senu</a>, <a href="https://publications.waset.org/abstracts/search?q=I.%20A.%20Kasim"> I. A. Kasim</a>, <a href="https://publications.waset.org/abstracts/search?q=F.%20Ismail"> F. Ismail</a>, <a href="https://publications.waset.org/abstracts/search?q=N.%20Bachok"> N. Bachok</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper zero-dissipative explicit Runge-Kutta method is derived for solving second-order ordinary differential equations with periodical solutions. The phase-lag and dissipation properties for Runge-Kutta (RK) method are also discussed. The new method has algebraic order three with dissipation of order infinity. The numerical results for the new method are compared with existing method when solving the second-order differential equations with periodic solutions using constant step size. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dissipation" title="dissipation">dissipation</a>, <a href="https://publications.waset.org/abstracts/search?q=oscillatory%20solutions" title=" oscillatory solutions"> oscillatory solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=phase-lag" title=" phase-lag"> phase-lag</a>, <a href="https://publications.waset.org/abstracts/search?q=Runge-Kutta%20methods" title=" Runge-Kutta methods "> Runge-Kutta methods </a> </p> <a href="https://publications.waset.org/abstracts/13272/zero-dissipative-explicit-runge-kutta-method-for-periodic-initial-value-problems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/13272.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">411</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3970</span> Asymptotic Expansion of Double Oscillatory Integrals: Contribution of Non Stationary Critical Points of the Second Kind</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abdallah%20Benaissa">Abdallah Benaissa</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we consider the problem of asymptotics of double oscillatory integrals in the case of critical points of the second kind, the order of contact between the boundary and a level curve of the phase being even, the situation when the order of contact is odd will be studied in other occasions. Complete asymptotic expansions will be derived and the coefficient of the leading term will be computed in terms of the original data of the problem. A multitude of people have studied this problem using a variety of methods, but only in a special case when the order of contact is minimal: the more cited papers are a paper of Jones and Kline and an other one of Chako. These integrals are encountered in many areas of science, especially in problems of diffraction of optics. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=asymptotic%20expansion" title="asymptotic expansion">asymptotic expansion</a>, <a href="https://publications.waset.org/abstracts/search?q=double%20oscillatory%20integral" title=" double oscillatory integral"> double oscillatory integral</a>, <a href="https://publications.waset.org/abstracts/search?q=critical%20point%20of%20the%20second%20kind" title=" critical point of the second kind"> critical point of the second kind</a>, <a href="https://publications.waset.org/abstracts/search?q=optics%20diffraction" title=" optics diffraction"> optics diffraction</a> </p> <a href="https://publications.waset.org/abstracts/41450/asymptotic-expansion-of-double-oscillatory-integrals-contribution-of-non-stationary-critical-points-of-the-second-kind" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/41450.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">350</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3969</span> Biodiesel Production from Palm Oil Using an Oscillatory Baffled Reactor</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Malee%20Santikunaporn">Malee Santikunaporn</a>, <a href="https://publications.waset.org/abstracts/search?q=Tattep%20Techopittayakul"> Tattep Techopittayakul</a>, <a href="https://publications.waset.org/abstracts/search?q=Channarong%20Asavatesanupap"> Channarong Asavatesanupap</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Biofuel production especially that of biodiesel has gained tremendous attention during the last decade due to environmental concerns and shortage in petroleum oil reservoir. This research aims to investigate the influences of operating parameters, such as the alcohol-to-oil molar ratio (4:1, 6:1, and 9:1) and the amount of catalyst (1, 1.5, and 2 wt.%) on the trans esterification of refined palm oil (RPO) in a medium-scale oscillatory baffle reactor.  It has been shown that an increase in the methanol-to-oil ratio resulted in an increase in fatty acid methyl esters (FAMEs) content. The amount of catalyst has an insignificant effect on the FAMEs content. Engine testing was performed on B0 (100 v/v% diesel) and blended fuel or B50 (50 v/v% diesel). Combustion of B50 was found to give lower torque compared to pure diesel. Exhaust gas from B50 was found to contain lower concentration of CO and CO<sub>2</sub>. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=biodiesel" title="biodiesel">biodiesel</a>, <a href="https://publications.waset.org/abstracts/search?q=palm%20oil" title=" palm oil"> palm oil</a>, <a href="https://publications.waset.org/abstracts/search?q=transesterification" title=" transesterification"> transesterification</a>, <a href="https://publications.waset.org/abstracts/search?q=oscillatory%20baffled%20reactor" title=" oscillatory baffled reactor"> oscillatory baffled reactor</a> </p> <a href="https://publications.waset.org/abstracts/84269/biodiesel-production-from-palm-oil-using-an-oscillatory-baffled-reactor" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/84269.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">177</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3968</span> Steady and Oscillatory States of Swirling Flows under an Axial Magnetic Field</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Brahim%20Mahfoud">Brahim Mahfoud</a>, <a href="https://publications.waset.org/abstracts/search?q=Rachid%20Bessa%C3%AFh"> Rachid Bessaïh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a numerical study of steady and oscillatory flows with heat transfer submitted to an axial magnetic field is studied. The governing Navier-Stokes, energy, and potential equations along with appropriate boundary conditions are solved by using the finite-volume method. The flow and temperature fields are presented by stream function and isotherms, respectively. The flow between counter-rotating end disks is very unstable and reveals a great richness of structures. The results are presented for various values of the Hartmann number, Ha=5, 10, 20, and 30, and Richardson numbers , Ri=0, 0.5, 1, 2, and 4, in order to see their effects on the value of the critical Reynolds number, Recr. Stability diagrams are established according to the numerical results of this investigation. These diagrams put in evidence the dependence of Recr with the increase of Ha for various values of Ri. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=swirling" title="swirling">swirling</a>, <a href="https://publications.waset.org/abstracts/search?q=counter-rotating%20end%20disks" title=" counter-rotating end disks"> counter-rotating end disks</a>, <a href="https://publications.waset.org/abstracts/search?q=magnetic%20field" title=" magnetic field"> magnetic field</a>, <a href="https://publications.waset.org/abstracts/search?q=oscillatory" title=" oscillatory"> oscillatory</a>, <a href="https://publications.waset.org/abstracts/search?q=cylinder" title=" cylinder"> cylinder</a> </p> <a href="https://publications.waset.org/abstracts/33523/steady-and-oscillatory-states-of-swirling-flows-under-an-axial-magnetic-field" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/33523.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">325</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3967</span> Nonlinear Waves in Two-Layer Systems with Heat Release/Consumption at the Interface</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ilya%20Simanovskii">Ilya Simanovskii</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Nonlinear convective flows developed under the joint action of buoyant and thermo-capillary effects in a two-layer system with periodic boundary conditions on the lateral walls have been investigated. The influence of an interfacial heat release on oscillatory regimes has been studied. The computational regions with different lengths have been considered. It is shown that the development of oscillatory instability can lead to the appearance of different no steady flows. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=interface" title="interface">interface</a>, <a href="https://publications.waset.org/abstracts/search?q=instabilities" title=" instabilities"> instabilities</a>, <a href="https://publications.waset.org/abstracts/search?q=two-layer%20systems" title=" two-layer systems"> two-layer systems</a>, <a href="https://publications.waset.org/abstracts/search?q=bioinformatics" title=" bioinformatics"> bioinformatics</a>, <a href="https://publications.waset.org/abstracts/search?q=biomedicine" title=" biomedicine"> biomedicine</a> </p> <a href="https://publications.waset.org/abstracts/16427/nonlinear-waves-in-two-layer-systems-with-heat-releaseconsumption-at-the-interface" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/16427.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">401</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3966</span> From Liquid to Solid: Advanced Characterization of Glass Applying Oscillatory Rheometry</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Christopher%20Giehl">Christopher Giehl</a>, <a href="https://publications.waset.org/abstracts/search?q=Anja%20Allabar"> Anja Allabar</a>, <a href="https://publications.waset.org/abstracts/search?q=Daniela%20Ehgartner"> Daniela Ehgartner</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Rotational rheometry is standard practice for the viscosity measurement of molten glass, neglecting the viscoelastic properties of this material, especially at temperatures approaching the glass transition. Oscillatory rheometry serves as a powerful toolbox for glass melt characterization beyond viscosity measurements. Heating and cooling rates and the time-dependent visco-elastic behavior influence the temperature where materials undergo the glass transition. This study presents quantitative thermo-mechanical visco-elasticity measurements on three samples in the Na-K-Al-Si-O system. The measurements were performed with a Furnace Rheometer System combined with an air-bearing DSR 502 measuring head (Anton Paar) and a Pt90Rh10 measuring geometry. Temperature ramps were conducted in rotation and oscillation, and the (complex) viscosity values were compared to calculated viscosity values based on sample composition. Furthermore, temperature ramps with different frequencies were conducted, also revealing the frequency-dependence of the shear loss modulus G’’ and the shear storage modulus G’. Here, lower oscillatory frequency results in lower glass transition temperature, as defined by the G’-G’’ crossover point. This contribution demonstrates that oscillatory rheometry serves as a powerful toolbox beyond viscosity measurements, as it considers the visco-elasticity of glass melts quantifying viscous and elastic moduli. Further, it offers a strong definition of Tg beyond the 10^12 Pas concept, which cannot be utilized with rotational viscometry data. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=frequency%20dependent%20glass%20transition" title="frequency dependent glass transition">frequency dependent glass transition</a>, <a href="https://publications.waset.org/abstracts/search?q=Na-K-Al-Si-O%20glass%20melts" title=" Na-K-Al-Si-O glass melts"> Na-K-Al-Si-O glass melts</a>, <a href="https://publications.waset.org/abstracts/search?q=oscillatory%20rheometry" title=" oscillatory rheometry"> oscillatory rheometry</a>, <a href="https://publications.waset.org/abstracts/search?q=visco-elasticity" title=" visco-elasticity"> visco-elasticity</a> </p> <a href="https://publications.waset.org/abstracts/156749/from-liquid-to-solid-advanced-characterization-of-glass-applying-oscillatory-rheometry" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/156749.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">107</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3965</span> Oscillatory Electroosmotic Flow of Power-Law Fluids in a Microchannel</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rub%C3%A9n%20B%C3%A3nos">Rubén Bãnos</a>, <a href="https://publications.waset.org/abstracts/search?q=Jos%C3%A9%20Arcos"> José Arcos</a>, <a href="https://publications.waset.org/abstracts/search?q=Oscar%20Bautista"> Oscar Bautista</a>, <a href="https://publications.waset.org/abstracts/search?q=Federico%20M%C3%A9ndez"> Federico Méndez</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The Oscillatory electroosmotic flow (OEOF) in power law fluids through a microchannel is studied numerically. A time-dependent external electric field (AC) is suddenly imposed at the ends of the microchannel which induces the fluid motion. The continuity and momentum equations in the x and y direction for the flow field were simplified in the limit of the lubrication approximation theory (LAT), and then solved using a numerical scheme. The solution of the electric potential is based on the Debye-H¨uckel approximation which suggest that the surface potential is small,say, smaller than 0.025V and for a symmetric (z : z) electrolyte. Our results suggest that the velocity profiles across the channel-width are controlled by the following dimensionless parameters: the angular Reynolds number, Reω, the electrokinetic parameter, ¯κ, defined as the ratio of the characteristic length scale to the Debye length, the parameter λ which represents the ratio of the Helmholtz-Smoluchowski velocity to the characteristic length scale and the flow behavior index, n. Also, the results reveal that the velocity profiles become more and more non-uniform across the channel-width as the Reω and ¯κ are increased, so oscillatory OEOF can be really useful in micro-fluidic devices such as micro-mixers. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=low%20zeta%20potentials" title="low zeta potentials">low zeta potentials</a>, <a href="https://publications.waset.org/abstracts/search?q=non-newtonian" title=" non-newtonian"> non-newtonian</a>, <a href="https://publications.waset.org/abstracts/search?q=oscillatory%20electroosmotic%20flow" title=" oscillatory electroosmotic flow"> oscillatory electroosmotic flow</a>, <a href="https://publications.waset.org/abstracts/search?q=power-law%20model" title=" power-law model"> power-law model</a> </p> <a href="https://publications.waset.org/abstracts/95010/oscillatory-electroosmotic-flow-of-power-law-fluids-in-a-microchannel" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/95010.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">169</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3964</span> Experimental Study of Heat Transfer in Pulsation Mist Flow in Rectanglar Duct Partially Filled with a Porous Medium</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hosein%20Shokoohmand">Hosein Shokoohmand</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohamad%20Esmaeil%20Jomeh"> Mohamad Esmaeil Jomeh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The present thesis studies the effect of different factors such as frequency of oscillatory flow, change in constant wall heat flux and two-phase current state, on heat transfer in a pipe in presence of porous medium. In this experimental study is conducted for Reynolds numbers in a range of Re=850 to Re=10000 and oscillatory frequencies of 5, 20, 10, 30 and 40 Hz with constant heat flux of 585 w/m2 and 819 w/m2. The results indicate that increase in oscillation frequency in higher frequencies for heat flux of 585 w/m2 leads to an increase in heat transfer; however, in the rest of tests it results in a heat transfer decrease. Increasing Reynolds number in a pulsation mist flow causes an increase in average Nusselt number values. The effect of oscillation frequencies in a pulsation mist flow for different Reynolds numbers has revealed different results, in a way that for some Reynolds numbers an increase of frequency has led to a heat transfer decrease. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Reynolds%20numbers" title="Reynolds numbers">Reynolds numbers</a>, <a href="https://publications.waset.org/abstracts/search?q=frequency%20of%20oscillatory%20flow" title=" frequency of oscillatory flow"> frequency of oscillatory flow</a>, <a href="https://publications.waset.org/abstracts/search?q=constant%20heat%20flux" title=" constant heat flux"> constant heat flux</a>, <a href="https://publications.waset.org/abstracts/search?q=mist%20flow" title=" mist flow "> mist flow </a> </p> <a href="https://publications.waset.org/abstracts/31780/experimental-study-of-heat-transfer-in-pulsation-mist-flow-in-rectanglar-duct-partially-filled-with-a-porous-medium" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/31780.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">496</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3963</span> Optimization of Pyrogallol Based Manganese / Ferroin Catalyzed Nonlinear Chemical Systems and Interaction with Monomeric and Polymeric Entities</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ghulam%20Mustafa%20Peerzada">Ghulam Mustafa Peerzada</a>, <a href="https://publications.waset.org/abstracts/search?q=Shagufta%20Rashid"> Shagufta Rashid</a>, <a href="https://publications.waset.org/abstracts/search?q=Nadeem%20Bashir"> Nadeem Bashir</a> </p> <p class="card-text"><strong>Abstract:</strong></p> These the influence of initial reagent concentrations on the Belousov-Zhabotinsky (BZ) system with Mn2+/Mn3+ as redox catalyst, inorganic bromate as oxidant and pyrogallol as organic substrate was studied. The reactions were monitored by potentiometery in oxidation reduction potential (ORP) mode. The aforesaid reagents were mixed with varying concentrations to evolve the optimal concentrations at which the reaction system exhibited better oscillations. The various oscillatory parameters such as induction period (tin), time period (tp), frequency (v), amplitude (A) and number of oscillations (n) were derived and the dependence of concentration of the reacting species on these oscillatory parameters was interpreted on the basis of the Field-Koros-Noyes mechanism. Ferroin based BZ system with pyrogallol as organic substrate was optimized under CSTR condition at temperature of 30±0.1oC Effect of molecules like monomer and polymer as additives to the system was checked and their interaction with the system was also studied. It has been observed that the monomer affects the time period, while the polymer has its effect on the amplitude of oscillations because of monomer’s interaction with the bromine and polymer’s with that of the Ferroin. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Belousov%20Zhabotinsky%20reaction" title="Belousov Zhabotinsky reaction">Belousov Zhabotinsky reaction</a>, <a href="https://publications.waset.org/abstracts/search?q=oscillatory%20parameters" title=" oscillatory parameters"> oscillatory parameters</a>, <a href="https://publications.waset.org/abstracts/search?q=polymer" title=" polymer"> polymer</a>, <a href="https://publications.waset.org/abstracts/search?q=pyrogallol" title=" pyrogallol"> pyrogallol</a> </p> <a href="https://publications.waset.org/abstracts/28993/optimization-of-pyrogallol-based-manganese-ferroin-catalyzed-nonlinear-chemical-systems-and-interaction-with-monomeric-and-polymeric-entities" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/28993.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">312</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3962</span> On the Effects of External Cross-Flow Excitation Forces on the Vortex-Induced-Vibrations of an Oscillating Cylinder</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abouzar%20Kaboudian">Abouzar Kaboudian</a>, <a href="https://publications.waset.org/abstracts/search?q=Ravi%20Chaithanya%20Mysa"> Ravi Chaithanya Mysa</a>, <a href="https://publications.waset.org/abstracts/search?q=Boo%20Cheong%20Khoo"> Boo Cheong Khoo</a>, <a href="https://publications.waset.org/abstracts/search?q=Rajeev%20Kumar%20Jaiman"> Rajeev Kumar Jaiman</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Vortex induced vibrations can significantly affect the effectiveness of structures in aerospace as well as offshore marine industries. The oscillatory nature of the forces resulting from the vortex shedding around bluff bodies can result in undesirable effects such as increased loading, stresses, deflections, vibrations and noise in the structures, and also reduced fatigue life of the structures. To date, most studies concentrate on either the free oscillations or the prescribed motion of the bluff bodies. However, the structures in operation are usually subject to the external oscillatory forces (e.g. due to the platform motions in offshore industries). In this work, we present the effects of the external cross-flow forces on the vortex-induced vibrations of an oscillating cylinder. The effects of the amplitude, as well as the frequency of the external force on the fluid-forces on the oscillating cylinder are carefully studied and presented. Moreover, we present the transition of the response to be dominated by the vortex-induced-vibrations to the range where it is mostly dictated by the external oscillatory forces. Furthermore, we will discuss how the external forces can affect the flow structures around a cylinder. All results are compared against free oscillations of the cylinder. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=circular%20cylinder" title="circular cylinder">circular cylinder</a>, <a href="https://publications.waset.org/abstracts/search?q=external%20force" title=" external force"> external force</a>, <a href="https://publications.waset.org/abstracts/search?q=vortex-shedding" title=" vortex-shedding"> vortex-shedding</a>, <a href="https://publications.waset.org/abstracts/search?q=VIV" title=" VIV"> VIV</a> </p> <a href="https://publications.waset.org/abstracts/25468/on-the-effects-of-external-cross-flow-excitation-forces-on-the-vortex-induced-vibrations-of-an-oscillating-cylinder" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/25468.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">372</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3961</span> Amplifying Sine Unit-Convolutional Neural Network: An Efficient Deep Architecture for Image Classification and Feature Visualizations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jamshaid%20Ul%20Rahman">Jamshaid Ul Rahman</a>, <a href="https://publications.waset.org/abstracts/search?q=Faiza%20Makhdoom"> Faiza Makhdoom</a>, <a href="https://publications.waset.org/abstracts/search?q=Dianchen%20Lu"> Dianchen Lu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Activation functions play a decisive role in determining the capacity of Deep Neural Networks (DNNs) as they enable neural networks to capture inherent nonlinearities present in data fed to them. The prior research on activation functions primarily focused on the utility of monotonic or non-oscillatory functions, until Growing Cosine Unit (GCU) broke the taboo for a number of applications. In this paper, a Convolutional Neural Network (CNN) model named as ASU-CNN is proposed which utilizes recently designed activation function ASU across its layers. The effect of this non-monotonic and oscillatory function is inspected through feature map visualizations from different convolutional layers. The optimization of proposed network is offered by Adam with a fine-tuned adjustment of learning rate. The network achieved promising results on both training and testing data for the classification of CIFAR-10. The experimental results affirm the computational feasibility and efficacy of the proposed model for performing tasks related to the field of computer vision. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=amplifying%20sine%20unit" title="amplifying sine unit">amplifying sine unit</a>, <a href="https://publications.waset.org/abstracts/search?q=activation%20function" title=" activation function"> activation function</a>, <a href="https://publications.waset.org/abstracts/search?q=convolutional%20neural%20networks" title=" convolutional neural networks"> convolutional neural networks</a>, <a href="https://publications.waset.org/abstracts/search?q=oscillatory%20activation" title=" oscillatory activation"> oscillatory activation</a>, <a href="https://publications.waset.org/abstracts/search?q=image%20classification" title=" image classification"> image classification</a>, <a href="https://publications.waset.org/abstracts/search?q=CIFAR-10" title=" CIFAR-10"> CIFAR-10</a> </p> <a href="https://publications.waset.org/abstracts/169054/amplifying-sine-unit-convolutional-neural-network-an-efficient-deep-architecture-for-image-classification-and-feature-visualizations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/169054.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">111</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3960</span> Kinetics of Acetaminophen Based Oscillatory Chemical Reaction with and without Ferroin as Catalyst: An Inorganic Prototype Model for Paracetamol-Ethanol Syndrome</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nadeem%20Bashir">Nadeem Bashir</a>, <a href="https://publications.waset.org/abstracts/search?q=Ghulam%20Mustafa%20Peerzada"> Ghulam Mustafa Peerzada</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The present study pertains to the nonlinear behavior of acetaminophen based uncatalyzed Belousov-Zhabotinsky (BZ) oscillator and its dynamics in the presence of Ferroin as the catalyst. The role of free metal ions as catalysts was examined and the results compared with corresponding complexed catalysts. Free metal ions were found to be sluggish with respect to the evolution of the oscillatory regime as compared to complexed ones. Effect of change of the ligand moiety of the catalyst complex on the oscillatory parameters was monitored. Since ethanol potentiates the hepatotoxicity caused by acetaminophen in-vivo, it is thought to understand this interaction by virtue of causing perturbation of the acetaminophen based oscillator with different concentrations of the ethanol with and without ferroin as the catalyst. Another dimension to the ethanol effect was added by perturbation of the system with ethanol at different stages of the reaction so as to get an idea whether it is acetaminophen or some reactive intermediate generated in the reaction system which reacts with ethanol. Further, the ferroin-catalyzed oscillator is taken as a prototype inorganic model of the acetaminophen-ethanol syndrome, as ferroin and HOBr were inorganic replacements to Cyt P450 and NADPH in the alcohol metabolism. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Belousov-Zhabotinsky%20reaction" title="Belousov-Zhabotinsky reaction">Belousov-Zhabotinsky reaction</a>, <a href="https://publications.waset.org/abstracts/search?q=ferroin" title=" ferroin"> ferroin</a>, <a href="https://publications.waset.org/abstracts/search?q=Paracetamol-Ethanol%20syndrome" title=" Paracetamol-Ethanol syndrome"> Paracetamol-Ethanol syndrome</a>, <a href="https://publications.waset.org/abstracts/search?q=kinetics" title=" kinetics"> kinetics</a> </p> <a href="https://publications.waset.org/abstracts/64014/kinetics-of-acetaminophen-based-oscillatory-chemical-reaction-with-and-without-ferroin-as-catalyst-an-inorganic-prototype-model-for-paracetamol-ethanol-syndrome" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/64014.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">531</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3959</span> Symbolic Computation and Abundant Travelling Wave Solutions to Modified Burgers' Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Muhammad%20Younis">Muhammad Younis</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this article, the novel (G′/G)-expansion method is successfully applied to construct the abundant travelling wave solutions to the modified Burgers’ equation with the aid of computation. The method is reliable and useful, which gives more general exact travelling wave solutions than the existing methods. These obtained solutions are in the form of hyperbolic, trigonometric and rational functions including solitary, singular and periodic solutions which have many potential applications in physical science and engineering. Some of these solutions are new and some have already been constructed. Additionally, the constraint conditions, for the existence of the solutions are also listed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=traveling%20wave%20solutions" title="traveling wave solutions">traveling wave solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=NLPDE" title=" NLPDE"> NLPDE</a>, <a href="https://publications.waset.org/abstracts/search?q=computation" title=" computation"> computation</a>, <a href="https://publications.waset.org/abstracts/search?q=integrability" title=" integrability"> integrability</a> </p> <a href="https://publications.waset.org/abstracts/48762/symbolic-computation-and-abundant-travelling-wave-solutions-to-modified-burgers-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/48762.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">433</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3958</span> On the Effects of the Frequency and Amplitude of Sinusoidal External Cross-Flow Excitation Forces on the Vortex-Induced-Vibrations of an Oscillating Cylinder</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abouzar%20Kaboudian">Abouzar Kaboudian</a>, <a href="https://publications.waset.org/abstracts/search?q=Ravi%20Chaithanya%20Mysa"> Ravi Chaithanya Mysa</a>, <a href="https://publications.waset.org/abstracts/search?q=Boo%20Cheong%20Khoo"> Boo Cheong Khoo</a>, <a href="https://publications.waset.org/abstracts/search?q=Rajeev%20Kumar%20Jaiman"> Rajeev Kumar Jaiman</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Vortex induced vibrations can significantly affect the effectiveness of structures in aerospace as well as offshore marine industries. The oscillatory nature of the forces resulting from the vortex shedding around bluff bodies can result in undesirable effects such as increased loading, stresses, deflections, vibrations and noise in the structures, and also reduced fatigue life of the structures. To date, most studies concentrate on either the free oscillations or the prescribed motion of the bluff bodies. However, the structures in operation are usually subject to the external oscillatory forces (e.g. due to the platform motions in offshore industries). Periodic forces can be considered as a combinations of sinusoids. In this work, we present the effects of sinusoidal external cross-flow forces on the vortex-induced vibrations of an oscillating cylinder. The effects of the amplitude, as well as the frequency of these sinusoidal external force on the fluid-forces on the oscillating cylinder are carefully studied and presented. Moreover, we present the transition of the response to be dominated by the vortex-induced-vibrations to the range where it is mostly dictated by the external oscillatory forces. Furthermore, we will discuss how the external forces can affect the flow structures around a cylinder. All results are compared against free oscillations of the cylinder. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=circular%20cylinder" title="circular cylinder">circular cylinder</a>, <a href="https://publications.waset.org/abstracts/search?q=external%20force" title=" external force"> external force</a>, <a href="https://publications.waset.org/abstracts/search?q=vortex-shedding" title=" vortex-shedding"> vortex-shedding</a>, <a href="https://publications.waset.org/abstracts/search?q=VIV" title=" VIV"> VIV</a> </p> <a href="https://publications.waset.org/abstracts/25480/on-the-effects-of-the-frequency-and-amplitude-of-sinusoidal-external-cross-flow-excitation-forces-on-the-vortex-induced-vibrations-of-an-oscillating-cylinder" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/25480.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">369</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3957</span> The Effect of Microgrid on Power System Oscillatory Stability</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Burak%20Yildirim">Burak Yildirim</a>, <a href="https://publications.waset.org/abstracts/search?q=Muhsin%20Tunay%20Gencoglu"> Muhsin Tunay Gencoglu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This publication shows the effects of Microgrid (MG) integration on the power systems oscillating stability. Generated MG model power systems were applied to the IEEE 14 bus test system which is widely used in stability studies. Stability studies were carried out with the help of eigenvalue analysis over linearized system models. In addition, Hopf bifurcation point detection was performed to show the effect of MGs on the system loadability margin. In the study results, it is seen that MGs affect system stability positively by increasing system loadability margin and has a damper effect on the critical modes of the system and the electromechanical local modes, but they make the damping amount of the electromechanical interarea modes reduce. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Eigenvalue%20analysis" title="Eigenvalue analysis">Eigenvalue analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=microgrid" title=" microgrid"> microgrid</a>, <a href="https://publications.waset.org/abstracts/search?q=Hopf%20bifurcation" title=" Hopf bifurcation"> Hopf bifurcation</a>, <a href="https://publications.waset.org/abstracts/search?q=oscillatory%20stability" title=" oscillatory stability"> oscillatory stability</a> </p> <a href="https://publications.waset.org/abstracts/75318/the-effect-of-microgrid-on-power-system-oscillatory-stability" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/75318.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">292</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3956</span> The Influence of the Moving Speeds of DNA Droplet on Polymerase Chain Reaction</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jyh%20Jyh%20Chen">Jyh Jyh Chen</a>, <a href="https://publications.waset.org/abstracts/search?q=Fu%20H.%20Yang"> Fu H. Yang</a>, <a href="https://publications.waset.org/abstracts/search?q=Chen%20W.%20Wang"> Chen W. Wang</a>, <a href="https://publications.waset.org/abstracts/search?q=Yu%20M.%20Lin"> Yu M. Lin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this work, a reaction chamber is reciprocated among three temperature regions by using an oscillatory thermal cycling machine. Three cartridge heaters are collocated to heat three aluminum blocks in order to achieve PCR requirements in the reaction chamber. The effects of various chamber moving speeds among different temperature regions on the chamber temperature profiles are presented. To solve the evaporation effect of the sample in the PCR experiment, the mineral oil and the cover lid are used. The influences of various extension times on DNA amplification are also demonstrated. The target fragments of the amplification are 385-bp and 420-bp. The results show when the forward speed is set at 6 mm/s and the backward speed is 2.4 mm/s, the temperature required for the experiment can be achieved. It is successful to perform the amplification of DNA fragments in our device. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=oscillatory" title="oscillatory">oscillatory</a>, <a href="https://publications.waset.org/abstracts/search?q=polymerase%20chain%20reaction" title=" polymerase chain reaction"> polymerase chain reaction</a>, <a href="https://publications.waset.org/abstracts/search?q=reaction%20chamber" title=" reaction chamber"> reaction chamber</a>, <a href="https://publications.waset.org/abstracts/search?q=thermal%20cycling%20machine" title=" thermal cycling machine"> thermal cycling machine</a> </p> <a href="https://publications.waset.org/abstracts/64588/the-influence-of-the-moving-speeds-of-dna-droplet-on-polymerase-chain-reaction" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/64588.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">530</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3955</span> Soliton Solutions in (3+1)-Dimensions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Magdy%20G.%20Asaad">Magdy G. Asaad</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Solitons are among the most beneficial solutions for science and technology for their applicability in physical applications including plasma, energy transport along protein molecules, wave transport along poly-acetylene molecules, ocean waves, constructing optical communication systems, transmission of information through optical fibers and Josephson junctions. In this talk, we will apply the bilinear technique to generate a class of soliton solutions to the (3+1)-dimensional nonlinear soliton equation of Jimbo-Miwa type. Examples of the resulting soliton solutions are computed and a few solutions are plotted. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Pfaffian%20solutions" title="Pfaffian solutions">Pfaffian solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=N-soliton%20solutions" title=" N-soliton solutions"> N-soliton solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=soliton%20equations" title=" soliton equations"> soliton equations</a>, <a href="https://publications.waset.org/abstracts/search?q=Jimbo-Miwa" title=" Jimbo-Miwa"> Jimbo-Miwa</a> </p> <a href="https://publications.waset.org/abstracts/13463/soliton-solutions-in-31-dimensions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/13463.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">453</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3954</span> Exactly Fractional Solutions of Nonlinear Lattice Equation via Some Fractional Transformations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20Zerarka">A. Zerarka</a>, <a href="https://publications.waset.org/abstracts/search?q=W.%20Djoudi"> W. Djoudi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We use some fractional transformations to obtain many types of new exact solutions of nonlinear lattice equation. These solutions include rational solutions, periodic wave solutions, and doubly periodic wave solutions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fractional%20transformations" title="fractional transformations">fractional transformations</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20equation" title=" nonlinear equation"> nonlinear equation</a>, <a href="https://publications.waset.org/abstracts/search?q=travelling%20wave%20solutions" title=" travelling wave solutions"> travelling wave solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=lattice%20equation" title=" lattice equation "> lattice equation </a> </p> <a href="https://publications.waset.org/abstracts/20487/exactly-fractional-solutions-of-nonlinear-lattice-equation-via-some-fractional-transformations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/20487.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">657</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3953</span> Exact Solutions of Discrete Sine-Gordon Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Chao-Qing%20Dai">Chao-Qing Dai</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Two families of exact travelling solutions for the discrete sine-Gordon equation are constructed based on the variable-coefficient Jacobian elliptic function method and different transformations. When the modulus of Jacobian elliptic function solutions tends to 1, soliton solutions can be obtained. Some soliton solutions degenerate into the known solutions in literatures. Moreover, dynamical properties of exact solutions are investigated. Our analysis and results may have potential values for certain applications in modern nonlinear science and textile engineering. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=exact%20solutions" title="exact solutions">exact solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=variable-coefficient%20Jacobian%20elliptic%20function%20method" title=" variable-coefficient Jacobian elliptic function method"> variable-coefficient Jacobian elliptic function method</a>, <a href="https://publications.waset.org/abstracts/search?q=discrete%20sine-Gordon%20equation" title=" discrete sine-Gordon equation"> discrete sine-Gordon equation</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamical%20behaviors" title=" dynamical behaviors"> dynamical behaviors</a> </p> <a href="https://publications.waset.org/abstracts/48966/exact-solutions-of-discrete-sine-gordon-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/48966.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">420</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3952</span> Exact Solutions of K(N,N)-Type Equations Using Jacobi Elliptic Functions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Edamana%20Krishnan">Edamana Krishnan</a>, <a href="https://publications.waset.org/abstracts/search?q=Khalil%20Al-Ghafri"> Khalil Al-Ghafri</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, modified K(n,n) and K(n+1,n+1) equations have been solved using mapping methods which give a variety of solutions in terms of Jacobi elliptic functions. The solutions when m approaches 0 and 1, with m as the modulus of the JEFs have also been deduced. The role of constraint conditions has been discussed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=travelling%20wave%20solutions" title="travelling wave solutions">travelling wave solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=solitary%20wave%20solutions" title=" solitary wave solutions"> solitary wave solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=compactons" title=" compactons"> compactons</a>, <a href="https://publications.waset.org/abstracts/search?q=Jacobi%20elliptic%20functions" title=" Jacobi elliptic functions"> Jacobi elliptic functions</a>, <a href="https://publications.waset.org/abstracts/search?q=mapping%20methods" title=" mapping methods"> mapping methods</a> </p> <a href="https://publications.waset.org/abstracts/59011/exact-solutions-of-knn-type-equations-using-jacobi-elliptic-functions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/59011.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">305</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3951</span> Series Solutions to Boundary Value Differential Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Armin%20Ardekani">Armin Ardekani</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohammad%20Akbari"> Mohammad Akbari</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We present a method of generating series solutions to large classes of nonlinear differential equations. The method is well suited to be adapted in mathematical software and unlike the available commercial solvers, we are capable of generating solutions to boundary value ODEs and PDEs. Many of the generated solutions converge to closed form solutions. Our method can also be applied to systems of ODEs or PDEs, providing all the solutions efficiently. As examples, we present results to many difficult differential equations in engineering fields. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=computational%20mathematics" title="computational mathematics">computational mathematics</a>, <a href="https://publications.waset.org/abstracts/search?q=differential%20equations" title=" differential equations"> differential equations</a>, <a href="https://publications.waset.org/abstracts/search?q=engineering" title=" engineering"> engineering</a>, <a href="https://publications.waset.org/abstracts/search?q=series" title=" series"> series</a> </p> <a href="https://publications.waset.org/abstracts/54764/series-solutions-to-boundary-value-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/54764.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">336</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3950</span> Mapping Methods to Solve a Modified Korteweg de Vries Type Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=E.%20V.%20Krishnan">E. V. Krishnan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we employ mapping methods to construct exact travelling wave solutions for a modified Korteweg-de Vries equation. We have derived periodic wave solutions in terms of Jacobi elliptic functions, kink solutions and singular wave solutions in terms of hyperbolic functions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=travelling%20wave%20solutions" title="travelling wave solutions">travelling wave solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=Jacobi%20elliptic%20functions" title=" Jacobi elliptic functions"> Jacobi elliptic functions</a>, <a href="https://publications.waset.org/abstracts/search?q=solitary%20wave%20solutions" title=" solitary wave solutions"> solitary wave solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=Korteweg-de%20Vries%20equation" title=" Korteweg-de Vries equation"> Korteweg-de Vries equation</a> </p> <a href="https://publications.waset.org/abstracts/12150/mapping-methods-to-solve-a-modified-korteweg-de-vries-type-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/12150.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">331</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3949</span> Fatigue Analysis and Life Estimation of the Helicopter Horizontal Tail under Cyclic Loading by Using Finite Element Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Defne%20Uz">Defne Uz</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Horizontal Tail of helicopter is exposed to repeated oscillatory loading generated by aerodynamic and inertial loads, and bending moments depending on operating conditions and maneuvers of the helicopter. In order to ensure that maximum stress levels do not exceed certain fatigue limit of the material and to prevent damage, a numerical analysis approach can be utilized through the Finite Element Method. Therefore, in this paper, fatigue analysis of the Horizontal Tail model is studied numerically to predict high-cycle and low-cycle fatigue life related to defined loading. The analysis estimates the stress field at stress concentration regions such as around fastener holes where the maximum principal stresses are considered for each load case. Critical element identification of the main load carrying structural components of the model with rivet holes is performed as a post-process since critical regions with high-stress values are used as an input for fatigue life calculation. Once the maximum stress is obtained at the critical element and the related mean and alternating components, it is compared with the endurance limit by applying Soderberg approach. The constant life straight line provides the limit for several combinations of mean and alternating stresses. The life calculation based on S-N (Stress-Number of Cycles) curve is also applied with fully reversed loading to determine the number of cycles corresponds to the oscillatory stress with zero means. The results determine the appropriateness of the design of the model for its fatigue strength and the number of cycles that the model can withstand for the calculated stress. The effect of correctly determining the critical rivet holes is investigated by analyzing stresses at different structural parts in the model. In the case of low life prediction, alternative design solutions are developed, and flight hours can be estimated for the fatigue safe operation of the model. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fatigue%20analysis" title="fatigue analysis">fatigue analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20element%20method" title=" finite element method"> finite element method</a>, <a href="https://publications.waset.org/abstracts/search?q=helicopter%20horizontal%20tail" title=" helicopter horizontal tail"> helicopter horizontal tail</a>, <a href="https://publications.waset.org/abstracts/search?q=life%20prediction" title=" life prediction"> life prediction</a>, <a href="https://publications.waset.org/abstracts/search?q=stress%20concentration" title=" stress concentration"> stress concentration</a> </p> <a href="https://publications.waset.org/abstracts/109457/fatigue-analysis-and-life-estimation-of-the-helicopter-horizontal-tail-under-cyclic-loading-by-using-finite-element-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/109457.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">145</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3948</span> Exploring Solutions in Extended Horava-Lifshitz Gravity</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Aziza%20Altaibayeva">Aziza Altaibayeva</a>, <a href="https://publications.waset.org/abstracts/search?q=Ertan%20G%C3%BCdekli"> Ertan Güdekli</a>, <a href="https://publications.waset.org/abstracts/search?q=Ratbay%20Myrzakulov"> Ratbay Myrzakulov</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this letter, we explore exact solutions for the Horava-Lifshitz gravity. We use of an extension of this theory with first order dynamical lapse function. The equations of motion have been derived in a fully consistent scenario. We assume that there are some spherically symmetric families of exact solutions of this extended theory of gravity. We obtain exact solutions and investigate the singularity structures of these solutions. Specially, an exact solution with the regular horizon is found. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=quantum%20gravity" title="quantum gravity">quantum gravity</a>, <a href="https://publications.waset.org/abstracts/search?q=Horava-Lifshitz%20gravity" title=" Horava-Lifshitz gravity"> Horava-Lifshitz gravity</a>, <a href="https://publications.waset.org/abstracts/search?q=black%20hole" title=" black hole"> black hole</a>, <a href="https://publications.waset.org/abstracts/search?q=spherically%20symmetric%20space%20times" title=" spherically symmetric space times "> spherically symmetric space times </a> </p> <a href="https://publications.waset.org/abstracts/18654/exploring-solutions-in-extended-horava-lifshitz-gravity" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/18654.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">581</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3947</span> Exploration of the Nonlinear Viscoelastic Behavior of Yogurt Using Lissajous Curves</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hugo%20Espinosa-Andrews">Hugo Espinosa-Andrews</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Introduction: Yogurt is widely accepted worldwide due to its high nutritional value, consistency, and texture. Their rheological properties play a significant role in consumer acceptance and are related to the manufacturing process and formulation. Typically, the viscoelastic characteristics of yogurts are studied using the small amplitude oscillatory shear test; however, the initial stages of flow and oral processing are described in the nonlinear zone, in which a large amplitude oscillatory stress test is applied. The objective of this work was to analyze the nonlinear viscoelastic behavior of commercial yogurts using Lissajous curves. Methods: Two commercial yogurts were purchased in a local store in Guadalajara Jalisco Mexico: a natural Greek-style yogurt and a low-fat traditional yogurt. Viscoelastic properties were evaluated using a large amplitude oscillatory stress procedure (LAOS). A crosshatch geometry of 40 mm and a truncation of 1000 µm were used. Stress sweeps were performed at 6.28 rad/s from 1 to 250 Pa at 5°C. The nonlinear viscoelastic properties were analyzed using the Lissajous curves. Results: The yogurts showed strain-viscoelastic behavior related to deformation-dependent materials. In the low-strain region, the elastic modulus predominated over the viscous modulus, showing gel-elastic properties. The sol-gel transitions were observed at approximately 66.5 Pa for the Greek yogurt, double that detected for traditional yogurt. The viscoelastic behavior of the yogurts was characteristic of weak excess deformation: behavior indicating a stable molecular structure at rest, and moderate structure at medium shear-forces. The normalized Lissajous curves characterized viscoelastic transitions of the yogurt as the stress increased. Greater viscoelasticity deformation was observed in Greek yogurt than in traditional yogurt, which is related to the presence of a protein network with a greater degree of crosslinking. Conclusions: The yogurt composition influences the viscoelastic properties of the material. Yogurt with the higher percentage of protein has greater viscoelastic and viscous properties, which describe a product of greater consistency and creaminess. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=yogurt" title="yogurt">yogurt</a>, <a href="https://publications.waset.org/abstracts/search?q=viscoelastic%20properties" title=" viscoelastic properties"> viscoelastic properties</a>, <a href="https://publications.waset.org/abstracts/search?q=LAOS" title=" LAOS"> LAOS</a>, <a href="https://publications.waset.org/abstracts/search?q=elastic%20modulus" title=" elastic modulus"> elastic modulus</a> </p> <a href="https://publications.waset.org/abstracts/190370/exploration-of-the-nonlinear-viscoelastic-behavior-of-yogurt-using-lissajous-curves" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/190370.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">21</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3946</span> Transport of Inertial Finite-Size Floating Plastic Pollution by Ocean Surface Waves</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ross%20Calvert">Ross Calvert</a>, <a href="https://publications.waset.org/abstracts/search?q=Colin%20Whittaker"> Colin Whittaker</a>, <a href="https://publications.waset.org/abstracts/search?q=Alison%20Raby"> Alison Raby</a>, <a href="https://publications.waset.org/abstracts/search?q=Alistair%20G.%20L.%20Borthwick"> Alistair G. L. Borthwick</a>, <a href="https://publications.waset.org/abstracts/search?q=Ton%20S.%20van%20den%20Bremer"> Ton S. van den Bremer</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Large concentrations of plastic have polluted the seas in the last half century, with harmful effects on marine wildlife and potentially to human health. Plastic pollution will have lasting effects because it is expected to take hundreds or thousands of years for plastic to decay in the ocean. The question arises how waves transport plastic in the ocean. The predominant motion induced by waves creates ellipsoid orbits. However, these orbits do not close, resulting in a drift. This is defined as Stokes drift. If a particle is infinitesimally small and the same density as water, it will behave exactly as the water does, i.e., as a purely Lagrangian tracer. However, as the particle grows in size or changes density, it will behave differently. The particle will then have its own inertia, the fluid will exert drag on the particle, because there is relative velocity, and it will rise or sink depending on the density and whether it is on the free surface. Previously, plastic pollution has all been considered to be purely Lagrangian. However, the steepness of waves in the ocean is small, normally about α = k₀a = 0.1 (where k₀ is the wavenumber and a is the wave amplitude), this means that the mean drift flows are of the order of ten times smaller than the oscillatory velocities (Stokes drift is proportional to steepness squared, whilst the oscillatory velocities are proportional to the steepness). Thus, the particle motion must have the forces of the full motion, oscillatory and mean flow, as well as a dynamic buoyancy term to account for the free surface, to determine whether inertia is important. To track the motion of a floating inertial particle under wave action requires the fluid velocities, which form the forcing, and the full equations of motion of a particle to be solved. Starting with the equation of motion of a sphere in unsteady flow with viscous drag. Terms can added then be added to the equation of motion to better model floating plastic: a dynamic buoyancy to model a particle floating on the free surface, quadratic drag for larger particles and a slope sliding term. Using perturbation methods to order the equation of motion into sequentially solvable parts allows a parametric equation for the transport of inertial finite-sized floating particles to be derived. This parametric equation can then be validated using numerical simulations of the equation of motion and flume experiments. This paper presents a parametric equation for the transport of inertial floating finite-size particles by ocean waves. The equation shows an increase in Stokes drift for larger, less dense particles. The equation has been validated using numerical solutions of the equation of motion and laboratory flume experiments. The difference in the particle transport equation and a purely Lagrangian tracer is illustrated using worlds maps of the induced transport. This parametric transport equation would allow ocean-scale numerical models to include inertial effects of floating plastic when predicting or tracing the transport of pollutants. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=perturbation%20methods" title="perturbation methods">perturbation methods</a>, <a href="https://publications.waset.org/abstracts/search?q=plastic%20pollution%20transport" title=" plastic pollution transport"> plastic pollution transport</a>, <a href="https://publications.waset.org/abstracts/search?q=Stokes%20drift" title=" Stokes drift"> Stokes drift</a>, <a href="https://publications.waset.org/abstracts/search?q=wave%20flume%20experiments" title=" wave flume experiments"> wave flume experiments</a>, <a href="https://publications.waset.org/abstracts/search?q=wave-induced%20mean%20flow" title=" wave-induced mean flow"> wave-induced mean flow</a> </p> <a href="https://publications.waset.org/abstracts/111423/transport-of-inertial-finite-size-floating-plastic-pollution-by-ocean-surface-waves" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/111423.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">121</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3945</span> An Alternative Framework of Multi-Resolution Nested Weighted Essentially Non-Oscillatory Schemes for Solving Euler Equations with Adaptive Order</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Zhenming%20Wang">Zhenming Wang</a>, <a href="https://publications.waset.org/abstracts/search?q=Jun%20Zhu"> Jun Zhu</a>, <a href="https://publications.waset.org/abstracts/search?q=Yuchen%20Yang"> Yuchen Yang</a>, <a href="https://publications.waset.org/abstracts/search?q=Ning%20Zhao"> Ning Zhao</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the present paper, an alternative framework is proposed to construct a class of finite difference multi-resolution nested weighted essentially non-oscillatory (WENO) schemes with an increasingly higher order of accuracy for solving inviscid Euler equations. These WENO schemes firstly obtain a set of reconstruction polynomials by a hierarchy of nested central spatial stencils, and then recursively achieve a higher order approximation through the lower-order precision WENO schemes. The linear weights of such WENO schemes can be set as any positive numbers with a requirement that their sum equals one and they will not pollute the optimal order of accuracy in smooth regions and could simultaneously suppress spurious oscillations near discontinuities. Numerical results obtained indicate that these alternative finite-difference multi-resolution nested WENO schemes with different accuracies are very robust with low dissipation and use as few reconstruction stencils as possible while maintaining the same efficiency, achieving the high-resolution property without any equivalent multi-resolution representation. Besides, its finite volume form is easier to implement in unstructured grids. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=finite-difference" title="finite-difference">finite-difference</a>, <a href="https://publications.waset.org/abstracts/search?q=WENO%20schemes" title=" WENO schemes"> WENO schemes</a>, <a href="https://publications.waset.org/abstracts/search?q=high%20order" title=" high order"> high order</a>, <a href="https://publications.waset.org/abstracts/search?q=inviscid%20Euler%20equations" title=" inviscid Euler equations"> inviscid Euler equations</a>, <a href="https://publications.waset.org/abstracts/search?q=multi-resolution" title=" multi-resolution "> multi-resolution </a> </p> <a href="https://publications.waset.org/abstracts/111223/an-alternative-framework-of-multi-resolution-nested-weighted-essentially-non-oscillatory-schemes-for-solving-euler-equations-with-adaptive-order" class="btn btn-primary 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