Numerical study of magnetic field on mixed convection and entropy generation of nanofluid in a trapezoidal enclosure

Mansour, 2010, simulation of mixed convection flows in a square lid-driven cavitypartially heated from below using nanofluid, Int. Commun. Heat. Mass. Transf., 37, 1504, 10.1016/j.icheatmasstransfer.2010.09.004 Bhattacharya, 2013, Mixed convection and role of multiple solutions in lid-driven trapezoidal enclosures, Int. Commun. Heat Mass Transf., 366, 10.1016/j.ijheatmasstransfer.2013.03.028 Cengel, 2006 Oztop, 2012, A review on entropy generation in natural and mixed convection heat transfer forenergy systems, Renew. Sustain. Energy Rev., 16, 911, 10.1016/j.rser.2011.09.012 Bejan, 1980, Second law analysis in heat transfer, Energy, 5, 721 Mahian, 2012, Analysis of first and second laws of thermodynamics between two isothermal cylinders with relative rotation in the presence of MHD flow, Int. J. Heat Mass. Transf., 55, 4808, 10.1016/j.ijheatmasstransfer.2012.04.048 Rashidi, 2013, Entropy generation in steady MHD flow due to a rotating porous disk in a nanofluid, Int. J. Heat Mass Transf., 62, 515, 10.1016/j.ijheatmasstransfer.2013.03.004 Li, 2010, Entropy generation analysis for nanofluid flow inmicrochannels, J. Heat Transf., 132, 401, 10.1115/1.4002395 Ghasemi, 2010, Mixed convection in a lid-driven triangular enclosure filled with nanofluids, Int. Commun. Heat Mass Transf., 37, 1142, 10.1016/j.icheatmasstransfer.2010.06.020 Pishkar, 2012, Cooling enhancement of two fins in a horizontal channel by nanofluid mixed convection, Int. J. Therm. Sci., 59, 141, 10.1016/j.ijthermalsci.2012.04.015 Chamkhaa, 2012, Mixed convection flow in single- and double-lid driven square cavities filled with water–Al2O3 nanofluid: Effect of viscosity models, Eur. J. Mech.: B/Fluids, 36, 82, 10.1016/j.euromechflu.2012.03.005 Famouri, 2008, Entropy generation for natural convection by heated partitions in a cavity, Int. Commun. Heat Mass Transf., 35, 492, 10.1016/j.icheatmasstransfer.2007.09.009 Mukhopadhyay, 2010, Analysis of entropy generation due to natural convection in square enclosures with multiple discrete heat sources, Int. Commun. Heat Mass Transf., 37, 867, 10.1016/j.icheatmasstransfer.2010.05.007 Shahi, 2011, Entropy generation due to natural convection cooling of a nanofluid, Int. Commun. Heat Mass Transf., 38, 972, 10.1016/j.icheatmasstransfer.2011.04.008 Khorasanizadeh, 2012, Numerical investigation of Cu–water nanofluid natural convection and entropy generation within a cavity with an embedded conductive baffle, Sci. Iran., 19, 1996, 10.1016/j.scient.2012.07.018 Cho, 2013, Natural convection heat transfer and entropy generation in wavy-wall enclosure containing water-based nanofluid, Int. J. Heat Mass Transf., 61, 749, 10.1016/j.ijheatmasstransfer.2013.02.044 Magherbi, 2003, Entropy generation at the onset of natural convection, Int. J. Heat Mass Transf., 46, 3441, 10.1016/S0017-9310(03)00133-9 ErbayAltac, 2003, An analysis of the entropy generation in a square enclosure, Entropy, 5, 496 Mahmud, 2003, Laminar free convection and entropy generation inside an inclined wavy enclosure, Int. J. Therm. Sci., 42, 1003, 10.1016/S1290-0729(03)00076-0 Singh, 2010, Entropy generation due to flow and heat transfer in nanofluids, Int. J. Heat and Mass Transf., 53, 4757, 10.1016/j.ijheatmasstransfer.2010.06.016 Kaluri, 2011, Analysis of entropy generation for distributed heating in processing of materials by thermal convection, Int. J. Heat Mass Transf., 54, 2578, 10.1016/j.ijheatmasstransfer.2011.02.003 Basak, 2011, Effects of thermal boundary conditions on entropy generation during natural convection, Numer. Heat Transf., 59, 372, 10.1080/10407782.2011.549075 Al-najem, 2008, Numerical study of laminar natural convection in tilted enclosure with transverse magnetic, Int. J. Numer. Methods Heat Fluid Flow, 8, 651, 10.1108/09615539810226094 Kandaswamy, 2008, Magnetoconvection in an enclosurewith partially active vertical walls, Int. J. Heat. Mass Transf., 51, 1946, 10.1016/j.ijheatmasstransfer.2007.06.025 Pirmohammadi, 2009, Effect of magnetic field on convection heattransfer inside a tilted square enclosure, Int. Commun. Heat Mass Transf., 36, 776, 10.1016/j.icheatmasstransfer.2009.03.023 Sadeghi, 2013, Mixed convection heat transfer of nanofluids in an inclined channel under magnetic field, J. Modarres Mech. Eng., 13, 18 Malekpor, 2013, Magnetic firld effect on natural convection in a nanofluid filled triangular enclosure, J. Modarres Mech. Eng., 13, 10 Ashorynejad, 2013, Magnetic field effects on natural convection flow of a nanofluid in a horizontal cylindrical annulus usingLattice Boltzmann method, Int. J. Therm. Sci., 64, 240, 10.1016/j.ijthermalsci.2012.08.006 Basak, 2009, Heat flow analysis for natural convection within trapezoidal enclosures based on heatline concept, Int. J. Heat Mass Transf., 52, 2471, 10.1016/j.ijheatmasstransfer.2009.01.020 Varol, 2010, Natural convection in divided trapezoidal cavities filled with fluid saturated porous media, Int. Commun. Heat Mass Transf., 37, 1350, 10.1016/j.icheatmasstransfer.2010.07.010 Saleh, 2011, Natural convection heat transfer in a nanofluid-filled trapezoidal enclosure, Int. J. Therm. Sci., 54, 194 Nasrin, 2012, Investigation of buoyancy-driven flow and heat transfer in a trapezoidal cavity filled with water–Cu nanofluid, Int. Commun. Heat Mass Transf., 39, 270, 10.1016/j.icheatmasstransfer.2011.11.004 Fani, 2013, Effect of nanoparticles size on thermal performance of nanofluid in a trapezoidal microchannel-heat-sink, J. Int. Commun. Heat Mass Transf., 45, 155, 10.1016/j.icheatmasstransfer.2013.04.003 AbbasianArani, 2012, Experimental study on the effect of TiO2–water nanofluid on heat transfer and pressure drop, Exp. Therm. Fluid Sci., 42, 107, 10.1016/j.expthermflusci.2012.04.017 AbbasianArani, 2013, Experimental investigation of diameter effect on heat transfer performance and pressure drop of TiO2–water nanofluid, Exp. Therm. Fluid Sci., 44, 520, 10.1016/j.expthermflusci.2012.08.014 H. Khorasanizadeh, A. Aghaei, H. Ehteram, Numerical study of the effect of Brownian motion on nanofluidmixed convection in an enclosure with a square central heat source, in: Proceedings of the 21st International Conference on Mechanical Engineering, Tehran, Iran, 7–9 May, 2013 (In Persian). Jery, 2010, Effect of an external oriented magnetic field on entropy generation in natural convection, Entropy, 12, 1391, 10.3390/e12061391 Brinkman, 1952, The viscosity of concentrated suspensions and solution, J. Chem. Phys., 20, 571, 10.1063/1.1700493 Patel, 2005, A micro-convection model for thermal conductivityof nanofluids, J. Phys., 65, 863 Patankar, 1980 Oliveski, 2009, Entropy generation and natural convection in rectangular cavities, Appl. Therm. Eng., 29, 1417, 10.1016/j.applthermaleng.2008.07.012 Ghasemi, 2013, Magnetic field effect on natural convection in a nanofluid-filled square enclosure, Int. J. Therm. Sci., 50, 1748, 10.1016/j.ijthermalsci.2011.04.010