Numerical simulation of natural convection heat transfer in a trapezoidal enclosure filled with nanoparticles

Lorenzini, 2003, A vapotron effect application for electronic equipment cooling, ASME J Electro Pack, 125, 475, 10.1115/1.1615796 Lorenzini, 2014, Geometric optimization of X-shaped cavities and pathways according to Bejan's theory: comparative analysis, Int J Heat Mass Transf, 73, 1, 10.1016/j.ijheatmasstransfer.2014.01.055 Choi, 1995, Enhancing thermal conductivity of fluids with nanoparticles, 231, 99 Khanafer, 2003, Buoyancy driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids, Int J Heat Mass Transf, 46, 3639, 10.1016/S0017-9310(03)00156-X Hwang, 2007, Buoyancy-driven heat transfer of water-based Al2O3 nanofluids in a rectangular cavity, Int J Heat Mass Trans, 50, 4003, 10.1016/j.ijheatmasstransfer.2007.01.037 Putra, 2003, Natural convection of nanofluids, Heat Mass Trans, 39, 775, 10.1007/s00231-002-0382-z Ghasemi, 2011, Magnetic field effect on natural convection in a nanofluid-filled square enclosure, Int J Thermal Sci, 50, 1748, 10.1016/j.ijthermalsci.2011.04.010 Rahman, 2014, Boundary layer flow of a nanofluid past a permeable exponentially shrinking surface with second order slip using Buongiorno's model, Int J Heat Mass Trans, 77, 1133, 10.1016/j.ijheatmasstransfer.2014.06.013 Rahman, 2015, Boundary layer flow of a nanofluid past a permeable exponentially shrinking surface with convective boundary condition using Buongiorno's model, Int J Numer Meth Heat Fluid Flow, 25, 299, 10.1108/HFF-12-2013-0361 Sheremet, 2015, Free convection in a porous horizontal cylindrical annulus with a nanofluid using Buongiorno's model, Comp Fluids, 118, 182, 10.1016/j.compfluid.2015.06.022 Rahman, 2016, Convective boundary layer flow and heat transfer in a nanofluid in the presence of second order slip, constant heat flux and zero nanoparticles flux, Nuclear Eng Design, 297, 95, 10.1016/j.nucengdes.2015.11.021 Rahman, 2016, Hydromagnetic natural convective heat transfer flow in an isosceles triangular cavity filled with nanofluid using two-component nonhomogeneous model, Int J Thermal Sci, 107, 272, 10.1016/j.ijthermalsci.2016.04.009 Rahman, 2016, Influence of oriented magnetic field on natural convection in an equilateral triangular enclosure filled with water- and kerosene- based ferrofluids using two-component nonhomogeneous thermal equilibrium model, Cogent Phys, 3, 10.1080/23311940.2016.1234662 Uddin, 2017, Natural convective heat transfer flow of nanofluids inside a quarter-circular enclosure using nonhomogeneous dynamic model, Arabian J Sci Eng, 42, 1883, 10.1007/s13369-016-2330-0 Uddin, 2016, Investigations of natural convection heat transfer in nanofluids filled horizontal semicircular-annulus using nonhomogeneous dynamic model, Am J Heat Mass Trans, 3, 425 Alam, 2016, Finite element simulation for heatline visualization of natural convective heat transfer flow inside a prismatic enclosure with various thermal boundary conditions, Int J Heat Tech, 34, 391, 10.18280/ijht.340307 Al-Kalbani, 2017, Buoyancy induced heat transfer flow inside a tilted square enclosure filled with nanofluids in the presence of oriented magnetic field, Heat Trans. Eng. Das, 2008 Nield, 2013 Shenoy, 2016 Wong, 2010, Applications of nanofluids: current and future, Adv Mech Engng, 2010 Fan, 2011, Review of heat conduction in nanofluids, ASME J. Heat Trans, 133, 1, 10.1115/1.4002633 Mahian, 2013, A review of the applications of nanofluids in solar energy, Int J Heat Mass Trans, 57, 582, 10.1016/j.ijheatmasstransfer.2012.10.037 Sheikholeslami, 2016, Nanofluid convective heat transfer using semi analytical and numerical approaches: a review, J Taiwan Inst Chem Engng, 65, 43, 10.1016/j.jtice.2016.05.014 Uddin, 2016, Fundamentals of nanofluids: evolution, applications and new theory, Int J Biomath Sys Bio, 2, 1 Qu, 2000, Heat transfer for water flow in trapezoidal silicon microchannels, Int J Heat Mass Trans, 43, 3925, 10.1016/S0017-9310(00)00045-4 Suh, 2001, Friction in micro-channel flows of a liquid and vapor in trapezoidal and sinusoidal grooves, Int J Heat Mass Trans, 44, 3103, 10.1016/S0017-9310(00)00331-8 Chitra, 2013, A theoretical research on the biological applications of nanofluids/ferrofluids due to the amazing properties of nanofluids/ferrofluids, Int J Sci Eng Res, 4, 2013 Komati, 2010, Anomalous enhancement of interphase transport rates by nanoparticles: effect of magnetic iron oxide on gas-liquid mass transfer, Indus Eng Chem Res, 49, 390, 10.1021/ie900302z Tyagi, 2009, Predicted efficiency of a low-temperature nanofluid-based direct absorption solar collector, J. Solar Energy Eng, 131, 10.1115/1.3197562 Roslan, 2011, Buoyancy-driven heat transfer in nanofluid-filled trapezoidal enclosure with variable thermal conductivity and viscosity, Numer Heat Trans Part A, 60, 867, 10.1080/10407782.2011.616778 Javadi, 2013, Investigating performance improvement of solar collectors by using nanofluids, Renew Sustain. Energy Rev, 28, 232, 10.1016/j.rser.2013.06.053 Colangelo, 2013, A new solution for reduced sedimentation flat panel solar thermal collector using nanofluids, Appl Energy, 111, 80, 10.1016/j.apenergy.2013.04.069 Rahman, 2015, Effect of sine-squared thermal boundary condition on augmentation of heat transfer in a triangular solar collector filled with different nanofluids, Numer Heat Trans Part-B, 68, 53, 10.1080/10407790.2014.992058 Uddin, 2015, Hydromagnetic double-diffusive unsteady mixed convection in a trapezoidal enclosure due to uniform and non-uniform heating at the bottom side, Numer Heat Trans Part A, 68, 205, 10.1080/10407782.2014.977129 Job, 2016, Unsteady MHD free convection nanofluid flows within a wavy trapezoidal enclosure with viscous and Joule dissipation effects, Numer Heat Trans Part A, 69, 421, 10.1080/10407782.2015.1080946 Tiwari, 2007, Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids, Int J Heat Mass Trans, 50, 2002, 10.1016/j.ijheatmasstransfer.2006.09.034 Buongiorno, 2006, Convective transport in nanofluids, ASME J Heat Trans, 128, 240, 10.1115/1.2150834 Jou, 2006, Numerical research on nature convective heat transfer enhancement filled with nanofluids in rectangular enclosures, Int Commun Heat Mass Trans, 33, 727, 10.1016/j.icheatmasstransfer.2006.02.016 Brinkman, 1952, The viscosity of concentrated suspensions and solutions, J Crystal Growth, 104, 861 Phan-Thien, 1997, Differential multiphase models for polydispersed suspensions and particulate solids, J Non-Newtonian Fluid Mech, 72, 305, 10.1016/S0377-0257(97)90002-1 Xuan Y., Li Q. Report of Nanjing University of Sciences and Technology (in Chinese), 1999. Maxwell J.C. On stresses in rarefied gases arising from inequalities of temperature. Phil Trans Roy Soc London 170(1);231–256:1879. Hamilton, 1962, Thermal conductivity of heterogeneous two component systems, Indus Eng Chem Fund, 1, 187, 10.1021/i160003a005 O'Brien, 1979, A method for the calculation of the effective transport properties of suspensions of interacting particles, J Fluid Mech, 91, 17, 10.1017/S0022112079000021 Timofeeva, 2009, Particle shapes effects on thermophysical properties of alumina nanofluids, J Appl Phy, 106, 124, 10.1063/1.3155999 Oztop, 2008, Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids, Int J Heat Fluid Flow, 29, 1326, 10.1016/j.ijheatfluidflow.2008.04.009 Zienkiewicz, 1991 Rahman, 2009, Finite element analysis of mixed convection in a rectangular cavity with a heat-conducting horizontal circular cylinder, Nonlin Analy, 14, 217, 10.15388/NA.2009.14.2.14522 Al-Kalbani, 2016, Finite element analysis of unsteady natural convective heat transfer and fluid flow of nanofluids inside a tilted square enclosure in the presence of oriented magnetic field, Am. J Heat Mass Trans, 3, 186 De Vahl Davis, 1983, Natural convection of air in a square cavity: a bench mark solution, Int J Numer Meth Fluids, 3, 249, 10.1002/fld.1650030305 Wan, 2001, A new benchmark quality solution for the buoyancy-driven cavity by discrete singular convolution, Numer Heat Trans: Part B, 40, 199, 10.1080/104077901752379620 Enayati, 2017, 3D large eddy simulation (LES) calculations and experiments of natural convection in a laterally-heated cylindrical enclosure for crystal growth, Int J Thermal Sci, 116, 1, 10.1016/j.ijthermalsci.2017.01.025 Enayati, 2016, Numerical simulations of transitional and turbulent natural convection in laterally heated cylindrical enclosures for crystal growth, Numer Heat Trans, 70, 1195, 10.1080/10407782.2016.1230378