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Search results for: Rank-k numerical range
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Some algebraic and geometrical properties are investigated. Moreover, for ε>0 the notion of Birkhoff-James approximate orthogonality sets for ε-higher rank numerical ranges of rectangular matrix polynomials is also introduced and studied. The proposed definitions yield a natural generalization of the standard higher rank numerical ranges. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=%E2%80%8E%E2%80%8ERank-k%20numerical%20range%E2%80%8E" title="Rank-k numerical range">Rank-k numerical range</a>, <a href="https://publications.waset.org/abstracts/search?q=%E2%80%8Eisometry%E2%80%8E" title=" isometry"> isometry</a>, <a href="https://publications.waset.org/abstracts/search?q=%E2%80%8Enumerical%20range%E2%80%8E" title=" numerical range"> numerical range</a>, <a href="https://publications.waset.org/abstracts/search?q=%E2%80%8Erectangular%20matrix%20polynomials" title=" rectangular matrix polynomials"> rectangular matrix polynomials</a> </p> <a href="https://publications.waset.org/abstracts/28955/some-results-on-the-generalized-higher-rank-numerical-ranges" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/28955.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">467</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">9872</span> Numerical Simulation of Punching Shear of Flat Plates with Low Reinforcement</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Fatema-Tuz-Zahura">Fatema-Tuz-Zahura</a>, <a href="https://publications.waset.org/abstracts/search?q=Raquib%20Ahsan"> Raquib Ahsan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Punching shear failure is usually the governing failure mode of flat plate structures. Punching failure is brittle in nature which induces more vulnerability to this type of structure. In the present study, a 3D finite element model of a flat plate with low reinforcement ratio and without any transverse reinforcement has been developed. Punching shear stress and the deflection data were obtained on the surface of the flat plate as well as through the thickness of the model from numerical simulations. The obtained data were compared with the experimental results. Variation of punching stress with respect to deflection as obtained from numerical results is found to be in good agreement with the experimental results; the range of variation of punching stress is within 5%. The numerical simulation shows an early and gradual onset of nonlinearity, whereas the same is late and abrupt as observed in the experimental results. The range of variation of punching stress for different slab thicknesses between experimental and numerical results is less than 15%. The developed numerical model is useful to complement available punching test series performed in the past. The results obtained from the numerical model will be helpful for designing retrofitting schemes of flat plates. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=flat%20plate" title="flat plate">flat plate</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20element%20model" title=" finite element model"> finite element model</a>, <a href="https://publications.waset.org/abstracts/search?q=punching%20shear" title=" punching shear"> punching shear</a>, <a href="https://publications.waset.org/abstracts/search?q=reinforcement%20ratio" title=" reinforcement ratio"> reinforcement ratio</a> </p> <a href="https://publications.waset.org/abstracts/45233/numerical-simulation-of-punching-shear-of-flat-plates-with-low-reinforcement" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/45233.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">260</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">9871</span> Numerical Methods versus Bjerksund and Stensland Approximations for American Options Pricing</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Marasovic%20Branka">Marasovic Branka</a>, <a href="https://publications.waset.org/abstracts/search?q=Aljinovic%20Zdravka"> Aljinovic Zdravka</a>, <a href="https://publications.waset.org/abstracts/search?q=Poklepovic%20Tea"> Poklepovic Tea</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Numerical methods like binomial and trinomial trees and finite difference methods can be used to price a wide range of options contracts for which there are no known analytical solutions. American options are the most famous of that kind of options. Besides numerical methods, American options can be valued with the approximation formulas, like Bjerksund-Stensland formulas from 1993 and 2002. When the value of American option is approximated by Bjerksund-Stensland formulas, the computer time spent to carry out that calculation is very short. The computer time spent using numerical methods can vary from less than one second to several minutes or even hours. However to be able to conduct a comparative analysis of numerical methods and Bjerksund-Stensland formulas, we will limit computer calculation time of numerical method to less than one second. Therefore, we ask the question: Which method will be most accurate at nearly the same computer calculation time? <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bjerksund%20and%20Stensland%20approximations" title="Bjerksund and Stensland approximations">Bjerksund and Stensland approximations</a>, <a href="https://publications.waset.org/abstracts/search?q=computational%20analysis" title=" computational analysis"> computational analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=finance" title=" finance"> finance</a>, <a href="https://publications.waset.org/abstracts/search?q=options%20pricing" title=" options pricing"> options pricing</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20methods" title=" numerical methods"> numerical methods</a> </p> <a href="https://publications.waset.org/abstracts/2832/numerical-methods-versus-bjerksund-and-stensland-approximations-for-american-options-pricing" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/2832.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">461</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">9870</span> Numerical Analysis of Fluid Mixing in Three Split and Recombine Micromixers at Different Inlets Volume Ratio </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Vladimir%20Viktorov">Vladimir Viktorov</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Readul%20Mahmud"> M. Readul Mahmud</a>, <a href="https://publications.waset.org/abstracts/search?q=Carmen%20Visconte"> Carmen Visconte</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Numerical simulation were carried out to study the mixing of miscible liquid at different inlets volume ratio (1 to 3) within two existing mixers namely Chain, Tear-drop and one new “C-H” mixer. The new passive C-H micromixer is developed based on split and recombine principles, combining the operation concepts of known Chain mixer and H mixer. The mixing performances of the three micromixers were predicted by a preliminary numerical analysis of the flow patterns inside the channel in terms of the segregation or distribution of path lines. Afterward, the efficiency and the pressure drop were investigated numerically, taking into account species transport. All numerical calculations were computed at a wide range of Reynolds number from 1 to 100. Among the presented three micromixers, tear-drop provides fairly good efficiency except in the middle range of Re numbers but has high-pressure drop. In addition, inlets flow ratio has a significant influence on efficiency, especially at the Re number range of 10 to 50, Moreover maximum increase of efficiency is almost 10% when inlets flow ratio is increased by 1. Chain mixer presents relatively low mixing efficiency at low and middle range of Re numbers (5≤Re≤50) but has reasonable pressure drop. Furthermore, Chain mixer shows almost no dependence on inlets flow ratio. Whereas, C-H mixer poses excellent mixing efficiency (more than 93%) for all range of Re numbers and causes the lowest pressure drop, On top of that efficiency has slight dependency on inlets flow ratio. In addition, C-H mixer shows respectively about three and two times lower pressure drop than Tear-drop and Chain mixers. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=CFD" title="CFD">CFD</a>, <a href="https://publications.waset.org/abstracts/search?q=micromixing" title=" micromixing"> micromixing</a>, <a href="https://publications.waset.org/abstracts/search?q=passive%20micromixer" title=" passive micromixer"> passive micromixer</a>, <a href="https://publications.waset.org/abstracts/search?q=SAR" title=" SAR"> SAR</a> </p> <a href="https://publications.waset.org/abstracts/25288/numerical-analysis-of-fluid-mixing-in-three-split-and-recombine-micromixers-at-different-inlets-volume-ratio" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/25288.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">489</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">9869</span> Impact Characteristics of Fragile Cover Based on Numerical Simulation and Experimental Verification</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Dejin%20Chen">Dejin Chen</a>, <a href="https://publications.waset.org/abstracts/search?q=Bin%20Lin"> Bin Lin</a>, <a href="https://publications.waset.org/abstracts/search?q=Xiaohui%20LI"> Xiaohui LI</a>, <a href="https://publications.waset.org/abstracts/search?q=Haobin%20Tian"> Haobin Tian</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In order to acquire stable impact performance of cover, the factors influencing the impact force of the cover were analyzed and researched. The influence of impact factors such as impact velocity, impact weight and fillet radius of warhead was studied by Orthogonal experiment. Through the range analysis and numerical simulation, the results show that the impact velocity has significant influences on impact force of cover. The impact force decreases with the increase of impact velocity and impact weight. The test results are similar to the numerical simulation. The cover broke up into four parts along the groove. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fragile%20cover" title="fragile cover">fragile cover</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20simulation" title=" numerical simulation"> numerical simulation</a>, <a href="https://publications.waset.org/abstracts/search?q=impact%20force" title=" impact force"> impact force</a>, <a href="https://publications.waset.org/abstracts/search?q=epoxy%20foam" title=" epoxy foam"> epoxy foam</a> </p> <a href="https://publications.waset.org/abstracts/136873/impact-characteristics-of-fragile-cover-based-on-numerical-simulation-and-experimental-verification" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/136873.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">271</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">9868</span> Optimization of the Numerical Fracture Mechanics</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=H.%20Hentati">H. Hentati</a>, <a href="https://publications.waset.org/abstracts/search?q=R.%20Abdelmoula"> R. Abdelmoula</a>, <a href="https://publications.waset.org/abstracts/search?q=Li%20Jia"> Li Jia</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Maalej"> A. Maalej</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this work, we present numerical simulations of the quasi-static crack propagation based on the variation approach. We perform numerical simulations of a piece of brittle material without initial crack. An alternate minimization algorithm is used. Based on these numerical results, we determine the influence of numerical parameters on the location of crack. We show the importance of trying to optimize the time of numerical computation and we present the first attempt to develop a simple numerical method to optimize this time. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fracture%20mechanics" title="fracture mechanics">fracture mechanics</a>, <a href="https://publications.waset.org/abstracts/search?q=optimization" title=" optimization"> optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=variation%20approach" title=" variation approach"> variation approach</a>, <a href="https://publications.waset.org/abstracts/search?q=mechanic" title=" mechanic"> mechanic</a> </p> <a href="https://publications.waset.org/abstracts/5187/optimization-of-the-numerical-fracture-mechanics" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/5187.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">616</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">9867</span> Numerical Study on the EHD Pump with a Recirculating Channel</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Dong%20Sik%20Cho">Dong Sik Cho</a>, <a href="https://publications.waset.org/abstracts/search?q=Yong%20Kweon%20Suh"> Yong Kweon Suh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Numerical study has been conducted on the electro-hydrodynamic (EHD) pumping method in terms of a recirculating channel. The method relies on the principle of EHD generated by the electric-field dependent electrical conductivity (Onsager effect). Before considering the full three-dimensional simulation, we solved the two-dimensional problem of EHD flow in a circular channel like a doughnut shape. We observed that when dc voltage was applied a fast and regular flow was produced around electrodes, which is then used as a driving force for the fluid pumping. In this parametric study, the diameters of circular electrodes are varied in the range 0.3mm~3mm and the gap between the electrodes pair is varied in the range 0.3mm~2mm. We found that both the volume flow rate and the pumping efficiency are increased as the distance between the electrodes is decreased. Finally, we also performed the numerical simulation for the three-dimensional channel and found that the averaged flow velocity is in the same order of magnitude as the two-dimensional one. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=electro-hydrodynamic" title="electro-hydrodynamic">electro-hydrodynamic</a>, <a href="https://publications.waset.org/abstracts/search?q=electric-field" title=" electric-field"> electric-field</a>, <a href="https://publications.waset.org/abstracts/search?q=onsager%20effect" title=" onsager effect"> onsager effect</a>, <a href="https://publications.waset.org/abstracts/search?q=DC%20voltage" title=" DC voltage"> DC voltage</a> </p> <a href="https://publications.waset.org/abstracts/5046/numerical-study-on-the-ehd-pump-with-a-recirculating-channel" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/5046.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">304</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">9866</span> Numerical Analysis of the Flow Characteristics Around a Deformable Vortex Generator</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Aimad%20Koulali">Aimad Koulali</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Flow structure evolution around a single pair of Delta vortex generators (VGs) is studied numerically. For laminar, transient, and turbulent flow regimes, numerical simulations have been performed in a duct with a pair of Delta vortex generators. The finiteelementmethodwasused to simulate the flow. To formulate the fluid structure interaction problem, the ALE formulation was used. The aim of this study is to provide a detailed insight into the generation and dissipation of longitudinal vortices over a wide range of flow regimes, including the laminar-turbulent transition. A wide range of parameters has been exploited to describe the inducedphenomenawithin the flow. Weexaminedvariousparametersdepending on the VG geometry, the flow regime, and the channel geometry. A detailed analysis of the turbulence and wall shear stress properties has been evaluated. The results affirm that there are still optimal values to obtain better performing vortices in order to improve the exchange performance. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=finte%20element%20method" title="finte element method">finte element method</a>, <a href="https://publications.waset.org/abstracts/search?q=deformable%20vortex%20generator" title=" deformable vortex generator"> deformable vortex generator</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20analysis" title=" numerical analysis"> numerical analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=fluid%20structure%20interaction" title=" fluid structure interaction"> fluid structure interaction</a>, <a href="https://publications.waset.org/abstracts/search?q=ALE%20formlation" title=" ALE formlation"> ALE formlation</a>, <a href="https://publications.waset.org/abstracts/search?q=turbulent%20flow" title=" turbulent flow"> turbulent flow</a> </p> <a href="https://publications.waset.org/abstracts/155015/numerical-analysis-of-the-flow-characteristics-around-a-deformable-vortex-generator" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/155015.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">104</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">9865</span> Compact Finite Difference Schemes for Fourth Order Parabolic Partial Differential Equations </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sufyan%20Muhammad">Sufyan Muhammad</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Recently, in achieving highly efficient but at the same time highly accurate solutions has become the major target of numerical analyst community. The concept is termed as compact schemes and has gained great popularity and consequently, we construct compact schemes for fourth order parabolic differential equations used to study vibrations in structures. For the superiority of newly constructed schemes, we consider range of examples. We have achieved followings i.e. (a) numerical scheme utilizes minimum number of stencil points (which means new scheme is compact); (b) numerical scheme is highly accurate (which means new scheme is reliable) and (c) numerical scheme is highly efficient (which means new scheme is fast). <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=central%20finite%20differences" title="central finite differences">central finite differences</a>, <a href="https://publications.waset.org/abstracts/search?q=compact%20schemes" title=" compact schemes"> compact schemes</a>, <a href="https://publications.waset.org/abstracts/search?q=Bernoulli%27s%20equations" title=" Bernoulli's equations"> Bernoulli's equations</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20differences" title=" finite differences"> finite differences</a> </p> <a href="https://publications.waset.org/abstracts/55343/compact-finite-difference-schemes-for-fourth-order-parabolic-partial-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/55343.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">293</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">9864</span> Numerical Simulation and Analysis on Liquid Nitrogen Spray Heat Exchanger</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Wenjing%20Ding">Wenjing Ding</a>, <a href="https://publications.waset.org/abstracts/search?q=Weiwei%20Shan"> Weiwei Shan</a>, <a href="https://publications.waset.org/abstracts/search?q=Zijuan"> Zijuan</a>, <a href="https://publications.waset.org/abstracts/search?q=Wang"> Wang</a>, <a href="https://publications.waset.org/abstracts/search?q=Chao%20He"> Chao He</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Liquid spray heat exchanger is the critical equipment of temperature regulating system by gaseous nitrogen which realizes the environment temperature in the range of -180 ℃~+180 ℃. Liquid nitrogen is atomized into smaller liquid drops through liquid nitrogen sprayer and then contacts with gaseous nitrogen to be cooled. By adjusting the pressure of liquid nitrogen and gaseous nitrogen, the flowrate of liquid nitrogen is changed to realize the required outlet temperature of heat exchanger. The temperature accuracy of shrouds is ±1 ℃. Liquid nitrogen spray heat exchanger is simulated by CATIA, and the numerical simulation is performed by FLUENT. The comparison between the tests and numerical simulation is conducted. Moreover, the results help to improve the design of liquid nitrogen spray heat exchanger. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=liquid%20nitrogen%20spray" title="liquid nitrogen spray">liquid nitrogen spray</a>, <a href="https://publications.waset.org/abstracts/search?q=temperature%20regulating%20system" title=" temperature regulating system"> temperature regulating system</a>, <a href="https://publications.waset.org/abstracts/search?q=heat%20exchanger" title=" heat exchanger"> heat exchanger</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20simulation" title=" numerical simulation"> numerical simulation</a> </p> <a href="https://publications.waset.org/abstracts/73604/numerical-simulation-and-analysis-on-liquid-nitrogen-spray-heat-exchanger" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/73604.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">335</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">9863</span> Numerical Simulation of Liquid Nitrogen Spray Equipment for Space Environmental Simulation Facility</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=He%20Chao">He Chao</a>, <a href="https://publications.waset.org/abstracts/search?q=Zhang%20Lei"> Zhang Lei</a>, <a href="https://publications.waset.org/abstracts/search?q=Liu%20Ran"> Liu Ran</a>, <a href="https://publications.waset.org/abstracts/search?q=Li%20Ang"> Li Ang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Temperature regulating system by gaseous nitrogen is of importance to the space environment simulator, which keep the shrouds in the temperature range from -150℃ to +150℃. Liquid nitrogen spray equipment is one of the most critical parts in the temperature regulating system by gaseous nitrogen. Y type jet atomizer and internal mixing atomizer of the liquid nitrogen spray equipment are studied in this paper, 2D/3D atomizer model was established and grid division was conducted respectively by the software of Catia and ICEM. Based on the above preparation, numerical simulation on the spraying process of the atomizer by FLUENT is performed. Using air and water as the medium, comparison between the tests and numerical simulation was conducted and the results of two ways match well. Hence, it can be conclude that this atomizer model can be applied in the numerical simulation of liquid nitrogen spray equipment. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=space%20environmental%20simulator" title="space environmental simulator">space environmental simulator</a>, <a href="https://publications.waset.org/abstracts/search?q=liquid%20nitrogen%20spray" title=" liquid nitrogen spray"> liquid nitrogen spray</a>, <a href="https://publications.waset.org/abstracts/search?q=Y%20type%20jet%20atomizer" title=" Y type jet atomizer"> Y type jet atomizer</a>, <a href="https://publications.waset.org/abstracts/search?q=internal%20mixing%20atomizer" title=" internal mixing atomizer"> internal mixing atomizer</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20simulation" title=" numerical simulation"> numerical simulation</a>, <a href="https://publications.waset.org/abstracts/search?q=fluent" title=" fluent"> fluent</a> </p> <a href="https://publications.waset.org/abstracts/32103/numerical-simulation-of-liquid-nitrogen-spray-equipment-for-space-environmental-simulation-facility" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/32103.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">9862</span> Development and Comparative Analysis of a New C-H Split and Recombine Micromixer</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Vladimir%20Viktorov">Vladimir Viktorov</a>, <a href="https://publications.waset.org/abstracts/search?q=Readul%20Mahmud"> Readul Mahmud</a>, <a href="https://publications.waset.org/abstracts/search?q=Carmen%20Visconte"> Carmen Visconte</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the present study, a new passive micromixer based on SAR principle, combining the operation concepts of known Chain and H mixers, called C-H micromixer, is developed and studied. The efficiency and the pressure drop of the C-H mixer along with two known SAR passive mixers named Chain and Tear-drop were investigated numerically at Reynolds numbers up to 100, taking into account species transport. At the same time experimental tests of the Chain and Tear-drop mixers were carried out at low Reynolds number, in the 0.1≤Re≤4.2 range. Numerical and experimental results coincide considerably, which validate the numerical simulation approach. Results show that mixing efficiency of the Tear-drop mixer is good except at the middle range of Reynolds number but pressure drop is too high; conversely the Chain mixer has moderate pressure drop but relatively low mixing efficiency at low and middle Re numbers. Whereas, the C-H mixer gives excellent mixing efficiency at all range of Re numbers. In addition, the C-H mixer shows respectively about 3 and 2 times lower pressure drop than the Tear-drop mixer and the Chain mixer. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=CFD" title="CFD">CFD</a>, <a href="https://publications.waset.org/abstracts/search?q=micromixing" title=" micromixing"> micromixing</a>, <a href="https://publications.waset.org/abstracts/search?q=passive%20micromixer" title=" passive micromixer"> passive micromixer</a>, <a href="https://publications.waset.org/abstracts/search?q=SAR" title=" SAR"> SAR</a> </p> <a href="https://publications.waset.org/abstracts/22531/development-and-comparative-analysis-of-a-new-c-h-split-and-recombine-micromixer" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/22531.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">314</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">9861</span> Numerical Investigation of Electrohydrodynamics: Enhanced Heat Transfer in a Solid Sample</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Suwimon%20Saneewong%20Na%20Ayuttaya">Suwimon Saneewong Na Ayuttaya</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a numerical investigation of electrically driven flow for enhancing convective heat transfer in a channel flow. This study focuses on the electrode arrangements, number of electrode and electrical voltage on Electrohydrodynamics (EHD) and effect of airflow driven on solid sample surface. The inlet airflow and inlet temperature are 0.35 m/s and 60 <sup>o</sup>C, respectively. High electrical voltage is tested in the range of 0-30 kV and number of electrode is tested in the range of 1-5. The numerical results show that electric field intensity is depended on electrical voltage and number of electrode. Increasing number of electrodes is increased shear flow, so swirling flow is increased. The swirling flows from aligned and staggered arrangements are affecting within the solid sample. When electrical voltage is increased, temperature distribution and convective heat transfer on the solid sample are significantly increased due to the electric force much stronger. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=electrohydrodynamics%20%28EHD%29" title="electrohydrodynamics (EHD)">electrohydrodynamics (EHD)</a>, <a href="https://publications.waset.org/abstracts/search?q=swirling%20flow" title=" swirling flow"> swirling flow</a>, <a href="https://publications.waset.org/abstracts/search?q=convective%20heat%20transfer" title=" convective heat transfer"> convective heat transfer</a>, <a href="https://publications.waset.org/abstracts/search?q=solid%20sample" title=" solid sample"> solid sample</a> </p> <a href="https://publications.waset.org/abstracts/47905/numerical-investigation-of-electrohydrodynamics-enhanced-heat-transfer-in-a-solid-sample" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/47905.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">295</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">9860</span> Numerical Simulation of Turbulent Flow around Two Cam Shaped Cylinders in Tandem Arrangement</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Arash%20Mir%20Abdolah%20Lavasani">Arash Mir Abdolah Lavasani</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Ebrahimisabet"> M. Ebrahimisabet</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, the 2-D unsteady viscous flow around two cam shaped cylinders in tandem arrangement is numerically simulated in order to study the characteristics of the flow in turbulent regimes. The investigation covers the effects of high subcritical and supercritical Reynolds numbers and L/D ratio on total drag coefficient. The equivalent diameter of cylinders is 27.6 mm The space between center to center of two cam shaped cylinders is define as longitudinal pitch ratio and it varies in range of 1.5 < L/D < 6. Reynolds number base on equivalent circular cylinder varies in range of 27×103 < Re < 166×103 Results show that drag coefficient of both cylinders depends on pitch ratio. However drag coefficient of downstream cylinder is more dependent on the pitch ratio. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=cam%20shaped" title="cam shaped">cam shaped</a>, <a href="https://publications.waset.org/abstracts/search?q=tandem" title=" tandem"> tandem</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical" title=" numerical"> numerical</a>, <a href="https://publications.waset.org/abstracts/search?q=drag%20coefficient" title=" drag coefficient"> drag coefficient</a>, <a href="https://publications.waset.org/abstracts/search?q=turbulent" title=" turbulent"> turbulent</a> </p> <a href="https://publications.waset.org/abstracts/36258/numerical-simulation-of-turbulent-flow-around-two-cam-shaped-cylinders-in-tandem-arrangement" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/36258.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">468</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">9859</span> The Physics of Turbulence Generation in a Fluid: Numerical Investigation Using a 1D Damped-MNLS Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Praveen%20Kumar">Praveen Kumar</a>, <a href="https://publications.waset.org/abstracts/search?q=R.%20Uma"> R. Uma</a>, <a href="https://publications.waset.org/abstracts/search?q=R.%20P.%20Sharma"> R. P. Sharma</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study investigates the generation of turbulence in a deep-fluid environment using a damped 1D-modified nonlinear Schrödinger equation model. The well-known damped modified nonlinear Schrödinger equation (d-MNLS) is solved using numerical methods. Artificial damping is added to the MNLS equation, and turbulence generation is investigated through a numerical simulation. The numerical simulation employs a finite difference method for temporal evolution and a pseudo-spectral approach to characterize spatial patterns. The results reveal a recurring periodic pattern in both space and time when the nonlinear Schrödinger equation is considered. Additionally, the study shows that the modified nonlinear Schrödinger equation disrupts the localization of structure and the recurrence of the Fermi-Pasta-Ulam (FPU) phenomenon. The energy spectrum exhibits a power-law behavior, closely following Kolmogorov's spectra steeper than k⁻⁵/³ in the inertial sub-range. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=water%20waves" title="water waves">water waves</a>, <a href="https://publications.waset.org/abstracts/search?q=modulation%20instability" title=" modulation instability"> modulation instability</a>, <a href="https://publications.waset.org/abstracts/search?q=hydrodynamics" title=" hydrodynamics"> hydrodynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20Schr%C3%B6dinger%27s%20equation" title=" nonlinear Schrödinger's equation"> nonlinear Schrödinger's equation</a> </p> <a href="https://publications.waset.org/abstracts/179074/the-physics-of-turbulence-generation-in-a-fluid-numerical-investigation-using-a-1d-damped-mnls-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/179074.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">82</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">9858</span> Using Derivative Free Method to Improve the Error Estimation of Numerical Quadrature</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Chin-Yun%20Chen">Chin-Yun Chen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Numerical integration is an essential tool for deriving different physical quantities in engineering and science. The effectiveness of a numerical integrator depends on different factors, where the crucial one is the error estimation. This work presents an error estimator that combines a derivative free method to improve the performance of verified numerical quadrature. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=numerical%20quadrature" title="numerical quadrature">numerical quadrature</a>, <a href="https://publications.waset.org/abstracts/search?q=error%20estimation" title=" error estimation"> error estimation</a>, <a href="https://publications.waset.org/abstracts/search?q=derivative%20free%20method" title=" derivative free method"> derivative free method</a>, <a href="https://publications.waset.org/abstracts/search?q=interval%20computation" title=" interval computation "> interval computation </a> </p> <a href="https://publications.waset.org/abstracts/17210/using-derivative-free-method-to-improve-the-error-estimation-of-numerical-quadrature" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/17210.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">471</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">9857</span> Numerical Investigation of Divergence and Rib Orientation Effects on Thermal Performance in a Divergent Duct, as an Application of Inner Cooling of Turbine Blades</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Heidar%20Jafarizadeh">Heidar Jafarizadeh</a>, <a href="https://publications.waset.org/abstracts/search?q=Hossein%20Keshtkar"> Hossein Keshtkar</a>, <a href="https://publications.waset.org/abstracts/search?q=Ahmad%20Sohankar"> Ahmad Sohankar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Heat transfer and turbulent flow structure have been studied in a divergent ribbed duct with a varying duct geometry with Reynolds numbers of 7000 to 90000 using numerical methods. In this study, we confirmed our numerical results of a ribbed duct with an Initial slope of zero to 3 degree by comparing them to experimental data we had and investigated the impact of the ducts divergence on heat transfer and flow pattern in the 2-dimensional flow. Then we investigated the effect of tilting the ribs, on heat transfer and flow behavior. We achieved this by changing the ribs angles from a range of 40 to 75 degrees in a divergent duct and simulated the flow in 3-dimensions. Our results show that with an increase in duct divergence, heat transfer increases linearly and the coefficient of friction increases exponentially. As the results show, a duct with a divergence angle of 1.5 degree presents better thermal performance in comparison with all the angle range’s we studied. Besides, a ribbed duct with 40 degree rib orientation had the best thermal performance considering the simultaneous effects of pressure drop and heat transfer which were imposed on it. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=divergent%20ribbed%20duct" title="divergent ribbed duct">divergent ribbed duct</a>, <a href="https://publications.waset.org/abstracts/search?q=heat%20transfer" title=" heat transfer"> heat transfer</a>, <a href="https://publications.waset.org/abstracts/search?q=thermal%20performance" title=" thermal performance"> thermal performance</a>, <a href="https://publications.waset.org/abstracts/search?q=turbulent%20flow%20structure" title=" turbulent flow structure"> turbulent flow structure</a> </p> <a href="https://publications.waset.org/abstracts/74676/numerical-investigation-of-divergence-and-rib-orientation-effects-on-thermal-performance-in-a-divergent-duct-as-an-application-of-inner-cooling-of-turbine-blades" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/74676.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">307</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">9856</span> Numerical Optimization of Trapezoidal Microchannel Heat Sinks</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yue-Tzu%20Yang">Yue-Tzu Yang</a>, <a href="https://publications.waset.org/abstracts/search?q=Shu-Ching%20Liao"> Shu-Ching Liao</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study presents the numerical simulation of three-dimensional incompressible steady and laminar fluid flow and conjugate heat transfer of a trapezoidal microchannel heat sink using water as a cooling fluid in a silicon substrate. Navier-Stokes equations with conjugate energy equation are discretized by finite-volume method. We perform numerical computations for a range of 50 ≦ Re ≦ 600, 0.05W ≦ P ≦ 0.8W, 20W/cm2 ≦ ≦ 40W/cm2. The present study demonstrates the numerical optimization of a trapezoidal microchannel heat sink design using the response surface methodology (RSM) and the genetic algorithm method (GA). The results show that the average Nusselt number increases with an increase in the Reynolds number or pumping power, and the thermal resistance decreases as the pumping power increases. The thermal resistance of a trapezoidal microchannel is minimized for a constant heat flux and constant pumping power. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=microchannel%20heat%20sinks" title="microchannel heat sinks">microchannel heat sinks</a>, <a href="https://publications.waset.org/abstracts/search?q=conjugate%20heat%20transfer" title=" conjugate heat transfer"> conjugate heat transfer</a>, <a href="https://publications.waset.org/abstracts/search?q=optimization" title=" optimization"> optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=genetic%20algorithm%20method" title=" genetic algorithm method"> genetic algorithm method</a> </p> <a href="https://publications.waset.org/abstracts/7509/numerical-optimization-of-trapezoidal-microchannel-heat-sinks" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/7509.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">321</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">9855</span> Air Flows along Perforated Metal Plates with the Heat Transfer</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Karel%20Frana">Karel Frana</a>, <a href="https://publications.waset.org/abstracts/search?q=Sylvio%20Simon"> Sylvio Simon</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The objective of the paper is a numerical study of heat transfer between perforated metal plates and the surrounding air flows. Different perforation structures can nowadays be found in various industrial products. Besides improving the mechanical properties, the perforations can intensify the heat transfer as well. The heat transfer coefficient depends on a wide range of parameters such as type of perforation, size, shape, flow properties of the surrounding air etc. The paper was focused on three different perforation structures which have been investigated from the point of the view of the production in the previous studies. To determine the heat coefficients and the Nusselt numbers, the numerical simulation approach was adopted. The calculations were performed using the OpenFOAM software. The three-dimensional, unstable, turbulent and incompressible air flow around the perforated surface metal plate was considered. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=perforations" title="perforations">perforations</a>, <a href="https://publications.waset.org/abstracts/search?q=convective%20heat%20transfers" title=" convective heat transfers"> convective heat transfers</a>, <a href="https://publications.waset.org/abstracts/search?q=turbulent%20flows" title=" turbulent flows"> turbulent flows</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20simulations" title=" numerical simulations"> numerical simulations</a> </p> <a href="https://publications.waset.org/abstracts/35110/air-flows-along-perforated-metal-plates-with-the-heat-transfer" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/35110.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">584</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">9854</span> Numerical Investigation of Flow Behaviour Across a Trapezoidal Bluff Body at Low Reynolds Number</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Zaaraoui%20Abdelkader">Zaaraoui Abdelkader</a>, <a href="https://publications.waset.org/abstracts/search?q=Kerfah%20Rabeh"> Kerfah Rabeh</a>, <a href="https://publications.waset.org/abstracts/search?q=Noura%20Belkheir"> Noura Belkheir</a>, <a href="https://publications.waset.org/abstracts/search?q=Matene%20Elhacene"> Matene Elhacene</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The trapezoidal bluff body is a typical configuration of vortex shedding bodies. The aim of this work is to study flow behaviour over a trapezoidal cylinder at low Reynolds number. The geometry was constructed from a prototype device for measuring the volumetric flow-rate by counting vortices. Simulations were run for this geometry under steady and unsteady flow conditions using finite volume discretization. Laminar flow was investigated in this model with rigid walls and homogeneous incompressible Newtonian fluid. Calculations were performed for Reynolds number range 5 ≤ Re ≤ 180 and several flow parameters were documented. The present computations are in good agreement with the experimental observations and the numerical calculations by several investigators. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bluff%20body" title="bluff body">bluff body</a>, <a href="https://publications.waset.org/abstracts/search?q=confined%20flow" title=" confined flow"> confined flow</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20calculations" title=" numerical calculations"> numerical calculations</a>, <a href="https://publications.waset.org/abstracts/search?q=steady%20and%20unsteady%20flow" title=" steady and unsteady flow"> steady and unsteady flow</a>, <a href="https://publications.waset.org/abstracts/search?q=vortex%20shedding%20flow%20meter" title=" vortex shedding flow meter"> vortex shedding flow meter</a> </p> <a href="https://publications.waset.org/abstracts/54144/numerical-investigation-of-flow-behaviour-across-a-trapezoidal-bluff-body-at-low-reynolds-number" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/54144.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">293</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">9853</span> Improvement of the Numerical Integration's Quality in Meshless Methods</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ahlem%20Mougaida">Ahlem Mougaida</a>, <a href="https://publications.waset.org/abstracts/search?q=Hedi%20Bel%20Hadj%20Salah"> Hedi Bel Hadj Salah</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Several methods are suggested to improve the numerical integration in Galerkin weak form for Meshless methods. In fact, integrating without taking into account the characteristics of the shape functions reproduced by Meshless methods (rational functions, with compact support etc.), causes a large integration error that influences the PDE’s approximate solution. Comparisons between different methods of numerical integration for rational functions are discussed and compared. The algorithms are implemented in Matlab. Finally, numerical results were presented to prove the efficiency of our algorithms in improving results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=adaptive%20methods" title="adaptive methods">adaptive methods</a>, <a href="https://publications.waset.org/abstracts/search?q=meshless" title=" meshless"> meshless</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20integration" title=" numerical integration"> numerical integration</a>, <a href="https://publications.waset.org/abstracts/search?q=rational%20quadrature" title=" rational quadrature"> rational quadrature</a> </p> <a href="https://publications.waset.org/abstracts/46442/improvement-of-the-numerical-integrations-quality-in-meshless-methods" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/46442.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">370</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">9852</span> Numerical Analysis of Dynamic Responses of the Plate Subjected to Impulsive Loads</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Behzad%20Mohammadzadeh">Behzad Mohammadzadeh</a>, <a href="https://publications.waset.org/abstracts/search?q=Huyk%20Chun%20Noh"> Huyk Chun Noh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The plate is one of the popular structural elements used in a wide range of industries and structures. They may be subjected to blast loads during explosion events, missile attacks or aircraft attacks. This study is to investigate dynamic responses of the rectangular plate subjected to explosive loads. The effects of material properties and plate thickness on responses of the plate are to be investigated. The compressive pressure is applied to the surface of the plate. Different amounts of thickness in the range from 10mm to 30mm are considered for the plate to evaluate the changes in responses of the plate with respect to the plate thickness. Two different properties are considered for the steel. First, the analysis is performed by considering only the elastic-plastic properties for the steel plate. Later on damping is considered to investigate its effects on the responses of the plate. To do analysis, the numerical method using a finite element based package ABAQUS is applied. Finally, dynamic responses and graphs showing the relation between maximum displacement of the plate and aim parameters are provided. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=impulsive%20loaded%20plates" title="impulsive loaded plates">impulsive loaded plates</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20analysis" title=" dynamic analysis"> dynamic analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=ABAQUS" title=" ABAQUS"> ABAQUS</a>, <a href="https://publications.waset.org/abstracts/search?q=material%20nonlinearity" title=" material nonlinearity"> material nonlinearity</a> </p> <a href="https://publications.waset.org/abstracts/28535/numerical-analysis-of-dynamic-responses-of-the-plate-subjected-to-impulsive-loads" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/28535.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">527</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">9851</span> Numerical Study on the Effect of Obstacle Structure on Two-Phase Detonation Initiation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ding%20Yu">Ding Yu</a>, <a href="https://publications.waset.org/abstracts/search?q=Ge%20Yang"> Ge Yang</a>, <a href="https://publications.waset.org/abstracts/search?q=Wang%20Hong-Tao"> Wang Hong-Tao</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Aiming at the detonation performance and detonation wave propagation distance of liquid fuel detonation engine, the kerosene/oxygen-enriched air mixture is chosen as the research object; its detonation initiation and detonation wave propagation process by mild energy input are numerically studied by using Euler-Lagrange method in the present study. The effects of a semicircular obstacle, rectangular obstacle, and triangular obstacle on the detonation characteristic parameters in the detonation tube are compared and analyzed, and the effect of the angle between obstacle and flame propagation direction on flame propagation characteristics and detonation process when the blocking ratio is constant are studied. The results show that the flame propagation velocity decreases with the increase of the angle in the range of 0-90°, and when the angle is 0° which corresponds to the semicircle obstacle gets the highest detonation wave propagation velocity. With the increase of the angle in the range of 0-90°, DDT (Deflagration to detonation transition) distance decreases first and then increases. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=deflagration%20to%20detonation%20transition" title="deflagration to detonation transition">deflagration to detonation transition</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20simulation" title=" numerical simulation"> numerical simulation</a>, <a href="https://publications.waset.org/abstracts/search?q=obstacle%20structure" title=" obstacle structure"> obstacle structure</a>, <a href="https://publications.waset.org/abstracts/search?q=turbulent%20flame" title=" turbulent flame"> turbulent flame</a> </p> <a href="https://publications.waset.org/abstracts/165628/numerical-study-on-the-effect-of-obstacle-structure-on-two-phase-detonation-initiation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/165628.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">88</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">9850</span> Heat Transfer and Turbulent Fluid Flow over Vertical Double Forward-Facing Step</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Tuqa%20Abdulrazzaq">Tuqa Abdulrazzaq</a>, <a href="https://publications.waset.org/abstracts/search?q=Hussein%20Togun"> Hussein Togun</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20K.%20A.%20Ariffin"> M. K. A. Ariffin</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20N.%20Kazi"> S. N. Kazi</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Badarudin"> A. Badarudin</a>, <a href="https://publications.waset.org/abstracts/search?q=N.%20M.%20Adam"> N. M. Adam</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20Masuri"> S. Masuri</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Numerical study of heat transfer and fluid flow over vertical double forward facing step were presented. The k-w model with finite volume method was employed to solve continuity, momentum, and energy equations. Different step heights were adopted for range of Reynolds number varied from 10000 to 40000, and range of temperature varied from 310K to 340 K. The straight side of duct is insulated while the side of double forward facing step is heated. The result shows augmentation of heat transfer due to the recirculation region created after and before steps. Effect of step length and Reynolds number observed on increase of local Nusselt number particularly at recirculation regions. Contour of streamline velocity is plotted to show recirculation regions after and before steps. Numerical simulation in this paper done by used ANSYS Fluent 14. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=turbulent%20flow" title="turbulent flow">turbulent flow</a>, <a href="https://publications.waset.org/abstracts/search?q=double%20forward" title=" double forward"> double forward</a>, <a href="https://publications.waset.org/abstracts/search?q=heat%20transfer" title=" heat transfer"> heat transfer</a>, <a href="https://publications.waset.org/abstracts/search?q=separation%20flow" title=" separation flow"> separation flow</a> </p> <a href="https://publications.waset.org/abstracts/5255/heat-transfer-and-turbulent-fluid-flow-over-vertical-double-forward-facing-step" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/5255.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">468</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">9849</span> Numerical Simulation of Two-Phase Flows Using a Pressure-Based Solver</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Lei%20Zhang">Lei Zhang</a>, <a href="https://publications.waset.org/abstracts/search?q=Jean-Michel%20Ghidaglia"> Jean-Michel Ghidaglia</a>, <a href="https://publications.waset.org/abstracts/search?q=Anela%20Kumbaro"> Anela Kumbaro</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This work focuses on numerical simulation of two-phase flows based on the bi-fluid six-equation model widely used in many industrial areas, such as nuclear power plant safety analysis. A pressure-based numerical method is adopted in our studies due to the fact that in two-phase flows, it is common to have a large range of Mach numbers because of the mixture of liquid and gas, and density-based solvers experience stiffness problems as well as a loss of accuracy when approaching the low Mach number limit. This work extends the semi-implicit pressure solver in the nuclear component CUPID code, where the governing equations are solved on unstructured grids with co-located variables to accommodate complicated geometries. A conservative version of the solver is developed in order to capture exactly the shock in one-phase flows, and is extended to two-phase situations. An inter-facial pressure term is added to the bi-fluid model to make the system hyperbolic and to establish a well-posed mathematical problem that will allow us to obtain convergent solutions with refined meshes. The ability of the numerical method to treat phase appearance and disappearance as well as the behavior of the scheme at low Mach numbers will be demonstrated through several numerical results. Finally, inter-facial mass and heat transfer models are included to deal with situations when mass and energy transfer between phases is important, and associated industrial numerical benchmarks with tabulated EOS (equations of state) for fluids are performed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=two-phase%20flows" title="two-phase flows">two-phase flows</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20simulation" title=" numerical simulation"> numerical simulation</a>, <a href="https://publications.waset.org/abstracts/search?q=bi-fluid%20model" title=" bi-fluid model"> bi-fluid model</a>, <a href="https://publications.waset.org/abstracts/search?q=unstructured%20grids" title=" unstructured grids"> unstructured grids</a>, <a href="https://publications.waset.org/abstracts/search?q=phase%20appearance%20and%20disappearance" title=" phase appearance and disappearance"> phase appearance and disappearance</a> </p> <a href="https://publications.waset.org/abstracts/47231/numerical-simulation-of-two-phase-flows-using-a-pressure-based-solver" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/47231.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">396</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">9848</span> Stabilization of the Bernoulli-Euler Plate Equation: Numerical Analysis</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Carla%20E.%20O.%20de%20Moraes">Carla E. O. de Moraes</a>, <a href="https://publications.waset.org/abstracts/search?q=Gladson%20O.%20Antunes"> Gladson O. Antunes</a>, <a href="https://publications.waset.org/abstracts/search?q=Mauro%20A.%20Rincon"> Mauro A. Rincon</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The aim of this paper is to study the internal stabilization of the Bernoulli-Euler equation numerically. For this, we consider a square plate subjected to a feedback/damping force distributed only in a subdomain. An algorithm for obtaining an approximate solution to this problem was proposed and implemented. The numerical method used was the Finite Difference Method. Numerical simulations were performed and showed the behavior of the solution, confirming the theoretical results that have already been proved in the literature. In addition, we studied the validation of the numerical scheme proposed, followed by an analysis of the numerical error; and we conducted a study on the decay of the energy associated. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bernoulli-Euler%20plate%20equation" title="Bernoulli-Euler plate equation">Bernoulli-Euler plate equation</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20simulations" title=" numerical simulations"> numerical simulations</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a>, <a href="https://publications.waset.org/abstracts/search?q=energy%20decay" title=" energy decay"> energy decay</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20difference%20method" title=" finite difference method"> finite difference method</a> </p> <a href="https://publications.waset.org/abstracts/7035/stabilization-of-the-bernoulli-euler-plate-equation-numerical-analysis" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/7035.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">421</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">9847</span> Foil Bearing Stiffness Estimation with Pseudospectral Scheme</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Balaji%20Sankar">Balaji Sankar</a>, <a href="https://publications.waset.org/abstracts/search?q=Sadanand%20Kulkarni"> Sadanand Kulkarni</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Compliant foil gas lubricated bearings are used for the support of light loads in the order of few kilograms at high speeds, in the order of 50,000 RPM. The stiffness of the foil bearings depends both on the stiffness of the compliant foil and on the lubricating gas film. The stiffness of the bearings plays a crucial role in the stable operation of the supported rotor over a range of speeds. This paper describes a numerical approach to estimate the stiffness of the bearings using pseudo spectral scheme. Methodology to obtain the stiffness of the foil bearing as a function of weight of the shaft is given and the results are presented. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=foil%20bearing" title="foil bearing">foil bearing</a>, <a href="https://publications.waset.org/abstracts/search?q=simulation" title=" simulation"> simulation</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical" title=" numerical"> numerical</a>, <a href="https://publications.waset.org/abstracts/search?q=stiffness%20estimation" title=" stiffness estimation"> stiffness estimation</a> </p> <a href="https://publications.waset.org/abstracts/48186/foil-bearing-stiffness-estimation-with-pseudospectral-scheme" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/48186.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">348</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">9846</span> Investigation of Flame and Soot Propagation in Non-Air Conditioned Railway Locomotives</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abhishek%20Agarwal">Abhishek Agarwal</a>, <a href="https://publications.waset.org/abstracts/search?q=Manoj%20Sarda"> Manoj Sarda</a>, <a href="https://publications.waset.org/abstracts/search?q=Juhi%20Kaushik"> Juhi Kaushik</a>, <a href="https://publications.waset.org/abstracts/search?q=Vatsal%20Sanjay"> Vatsal Sanjay</a>, <a href="https://publications.waset.org/abstracts/search?q=Arup%20Kumar%20Das"> Arup Kumar Das</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Propagation of fire through a non-air conditioned railway compartment is studied by virtue of numerical simulations. Simultaneous computational fire dynamics equations, such as Navier-Stokes, lumped species continuity, overall mass and energy conservation, and heat transfer are solved using finite volume based (for radiation) and finite difference based (for all other equations) solver, Fire Dynamics Simulator (FDS). A single coupe with an eight berth occupancy is used to establish the numerical model, followed by the selection of a three coupe system as the fundamental unit of the locomotive compartment. Heat Release Rate Per Unit Area (HRRPUA) of the initial fire is varied to consider a wide range of compartmental fires. Parameters, such as air inlet velocity relative to the locomotive at the windows, the level of interaction with the ambiance and closure of middle berth are studied through a wide range of numerical simulations. Almost all the loss of lives and properties due to fire breakout can be attributed to the direct or indirect exposure to flames or to the inhalation of toxic gases and resultant suffocation due to smoke and soot. Therefore, the temporal stature of fire and smoke are reported for each of the considered cases which can be used in the present or extended form to develop guidelines to be followed in case of a fire breakout. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fire%20dynamics" title="fire dynamics">fire dynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=flame%20propagation" title=" flame propagation"> flame propagation</a>, <a href="https://publications.waset.org/abstracts/search?q=locomotive%20fire" title=" locomotive fire"> locomotive fire</a>, <a href="https://publications.waset.org/abstracts/search?q=soot%20flow%20pattern" title=" soot flow pattern"> soot flow pattern</a>, <a href="https://publications.waset.org/abstracts/search?q=non-air-conditioned%20coaches" title=" non-air-conditioned coaches"> non-air-conditioned coaches</a> </p> <a href="https://publications.waset.org/abstracts/50482/investigation-of-flame-and-soot-propagation-in-non-air-conditioned-railway-locomotives" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/50482.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">298</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">9845</span> Numerical Simulations for Nitrogen Flow in Piezoelectric Valve</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Pawel%20Flaszynski">Pawel Flaszynski</a>, <a href="https://publications.waset.org/abstracts/search?q=Piotr%20Doerffer"> Piotr Doerffer</a>, <a href="https://publications.waset.org/abstracts/search?q=Jan%20Holnicki-Szulc"> Jan Holnicki-Szulc</a>, <a href="https://publications.waset.org/abstracts/search?q=Grzegorz%20Mikulowski"> Grzegorz Mikulowski</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Results of numerical simulations for transonic flow in a piezoelectric valve are presented. The valve is the main part of an adaptive pneumatic shock absorber. Flow structure in the valve domain and the influence of the flow non-uniformity in the valve on a mass flow rate is investigated. Numerical simulation results are compared with experimental data. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=pneumatic%20valve" title="pneumatic valve">pneumatic valve</a>, <a href="https://publications.waset.org/abstracts/search?q=transonic%20flow" title=" transonic flow"> transonic flow</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20simulations" title=" numerical simulations"> numerical simulations</a>, <a href="https://publications.waset.org/abstracts/search?q=piezoelectric%20valve" title=" piezoelectric valve"> piezoelectric valve</a> </p> <a href="https://publications.waset.org/abstracts/29877/numerical-simulations-for-nitrogen-flow-in-piezoelectric-valve" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/29877.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">519</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">9844</span> Development of Extended Trapezoidal Method for Numerical Solution of Volterra Integro-Differential Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Fuziyah%20Ishak">Fuziyah Ishak</a>, <a href="https://publications.waset.org/abstracts/search?q=Siti%20Norazura%20Ahmad"> Siti Norazura Ahmad</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Volterra integro-differential equations appear in many models for real life phenomena. Since analytical solutions for this type of differential equations are hard and at times impossible to attain, engineers and scientists resort to numerical solutions that can be made as accurately as possible. Conventionally, numerical methods for ordinary differential equations are adapted to solve Volterra integro-differential equations. In this paper, numerical solution for solving Volterra integro-differential equation using extended trapezoidal method is described. Formulae for the integral and differential parts of the equation are presented. Numerical results show that the extended method is suitable for solving first order Volterra integro-differential equations. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=accuracy" title="accuracy">accuracy</a>, <a href="https://publications.waset.org/abstracts/search?q=extended%20trapezoidal%20method" title=" extended trapezoidal method"> extended trapezoidal method</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20solution" title=" numerical solution"> numerical solution</a>, <a href="https://publications.waset.org/abstracts/search?q=Volterra%20integro-differential%20equations" title=" Volterra integro-differential equations"> Volterra integro-differential equations</a> </p> <a href="https://publications.waset.org/abstracts/52856/development-of-extended-trapezoidal-method-for-numerical-solution-of-volterra-integro-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/52856.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">432</span> </span> </div> </div> <ul class="pagination"> <li class="page-item disabled"><span class="page-link">‹</span></li> <li class="page-item active"><span class="page-link">1</span></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=%E2%80%8E%E2%80%8ERank-k%20numerical%20range%E2%80%8E&page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=%E2%80%8E%E2%80%8ERank-k%20numerical%20range%E2%80%8E&page=3">3</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=%E2%80%8E%E2%80%8ERank-k%20numerical%20range%E2%80%8E&page=4">4</a></li> <li class="page-item"><a class="page-link" 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