{"title":"Periodic Mixed Convection of a Nanofluid in a Cavity with Top Lid Sinusoidal Motion","authors":"Arash Karimipour, M. Afrand, M. M. Bazofti","volume":47,"journal":"International Journal of Mechanical and Mechatronics Engineering","pagesStart":1150,"pagesEnd":1156,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/15506","abstract":"The periodic mixed convection of a water-copper\nnanofluid inside a rectangular cavity with aspect ratio of 3 is\ninvestigated numerically. The temperature of the bottom wall of the\ncavity is assumed greater than the temperature of the top lid which\noscillates horizontally with the velocity defined as u = u0 sin (\u03c9 t).\nThe effects of Richardson number, Ri, and volume fraction of\nnanoparticles on the flow and thermal behavior of the nanofluid are\ninvestigated. Velocity and temperature profiles, streamlines and\nisotherms are presented. It is observed that when Ri < 1, heat transfer\nrate is much greater than when Ri > 1. The higher value of Ri\ncorresponds to a lower value of the amplitude of the oscillation of\nNum in the steady periodic state. Moreover, increasing the volume\nfraction of the nanoparticles increases the heat transfer rate.","references":"[1] Oztop H.F., Dagtekin I. ,Mixed convection in two-sided lid-driven\ndifferentially heated square cavity, Int. J. of Heat and Mass Transfer, 47\n(2004) 1761-1769.\n[2] Sharif M.A.R., Laminar mixed convection in shallow inclined driven\ncavities with hot moving lid on top and cooled from bottom, Applied\nThermal Engineering 27 (2007) 1036-1042.\n[3] Khanafer K., Vafai K., Lightstone M., Buoyancy-driven heat transfer\nenhancement in a two-dimensional enclosure utilizing nanofluids, Int. J.\nof Heat and Mass Transfer 46 (2003) 3639-3653.\n[4] Jou R.Y., Tzeng S.C., Numerical research of natural convective heat\ntransfer enhancement filled with nanofluids in rectangular enclosures,\nInt. Communications in Heat and Mass Transfer 33 (2006) 727-736.\n[5] Ho C.J., Chen M.W., Li Z.W., Numerical simulation of natural\nconvection of nanofluid in a square enclosure: Effects due to\nuncertainties of viscosity and thermal conductivity, Int. J. of Heat and\nMass Transfer 51 (2008) 4506-4516.\n[6] Hwang K.S., Lee J.H., Jang S.P., Buoyancy-driven heat transfer of\nwater-based AL2O3 nanofluids in a rectangular cavity, Int. J. of Heat and\nMass Transfer 50 (2007) 4003-4010.\n[7] Oztop H.F., Abu-Nada E., Numerical study of natural convection in\npartially heated rectangular enclosures filled with nanofluids, Int. J. of\nHeat and Fluid Flow 29 (2008) 1326-1336.\n[8] Tiwari R.K., Das M.K., Heat transfer augmentation in a two-sided liddriven\ndifferentially heated square cavity utilizing nanofluids, Int. J. of\nHeat and Mass Transfer 50 (2007) 2002-2018.\n[9] Akbarinia A., Behzadmehr A., Numerical study of laminar mixed\nconvection of a nanofluid in horizontal curved tubes, Applied Thermal\nEngineering 27 (2007) 1327-1337.\n[10] Mirmasoumi S., Behzadmehr A., Numerical study of laminar mixed\nconvection of a nanofluid in a horizontal tube using two-phase mixture\nmodel, Applied Thermal Engineering 28 (2008) 717-727.\n[11] Behzadmehr A., Saffar-Avval M., Galanis N., Prediction of turbulent\nforced convection of a nanofluid in a tube with uniform heat flux using a\ntwo phase approach, Int. J. of Heat and Fluid Flow 28 (2007) 211-219.\n[12] Talebi F., Mahmoudi A.H., Shahi M., Numerical study of mixed\nconvection flows in a square lid-driven cavity utilizing nanofluid,\nInternational Communications in Heat and Mass Transfer 37 (2010) 79-\n90.\n[13] Muthtamilselvan M., Kandaswamy P., Lee J., Heat transfer\nenhancement of copper-water nanofluids in a lid-driven enclosure,\nCommun Nonlinear Sci Numer Simulat 15 (2010) 1501-1510.\n[14] Khanafer K.M., Al-Amiri A.M., Pop I., Numerical simulation of\nunsteady mixed convection in a driven cavity using an externally excited\nsliding lid, European J. of Mechanics B\/Fluids 26 (2007) 669-687.\n[15] Brinkman H.C., The viscosity of concentrated suspensions and\nsolutions, J. Chem. Phys. 20 (1952) 571-581.\n[16] Xuan Y., Li Q., Investigation on convective heat transfer and flow\nfeatures of nanofluids, ASME J. Heat Transfer 125 (2003) 151-155.\n[17] Prasher R., Bhattacharya P., Phelan P.E., Brownian-motion-based\nconvective-conductive model for the effective thermal conductivity of\nnanofluid, ASME J. Heat Transfer 128 (2006) 588-595.\n[18] Chon C.H., Kihm K.D., Lee S.P., Choi S.U.S., Empirical correlation\nfinding the role of temperature and particle size for nanofluid (AL2O3)\nthermal conductivity enhancement, Appl. Phys. Lett. 87 (2005) 1-3.\n[19] Patankar S.V., Numerical heat transfer and fluid flow, hemisphere, New\nYork, 1980.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 47, 2010"}