Effect of nonhomogeneous nanofluid model on transient natural convection in a non-Darcy porous cavity containing an inner solid body

Ammar I. Alsabery1,2, Muneer A. Ismael3, Ali J. Chamkha4, Ishak Hashim2
1Refrigeration & Air-Conditioning Technical Engineering Department, College of Technical Engineering, The Islamic University, Najaf, Iraq
2Department of Mathematical Sciences, Faculty of Science & Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia
3Mechanical Engineering Department, Engineering College, University of Basrah, Basrah, Iraq
4Department of Mechanical Engineering, Prince Sultan Endowment for Energy and the Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Saudi Arabia

Tài liệu tham khảo

Nield, 2017 Gibanov, 2017, Mixed convection in a ventilated cavity filled with a triangular porous layer, Transp. Porous Media, 120, 1, 10.1007/s11242-017-0888-y Nithiarasu, 1997, Natural convective heat transfer in a fluid saturated variable porosity medium, Int. J. Heat Mass Transf., 40, 3955, 10.1016/S0017-9310(97)00008-2 Ingham, 2005, 3 Vafai, 2015 Shenoy, 2016 Izadi, 2019, A comprehensive review on mixed convection of nanofluids in various shapes of enclosures, Powder Technol., 343, 880, 10.1016/j.powtec.2018.11.006 Rashad, 2019, MHD mixed convection and entropy generation of nanofluid in a lid-driven U-shaped cavity with internal heat and partial slip, Phys. Fluids, 31, 10.1063/1.5079789 Zeng, 2006, A criterion for non-Darcy flow in porous media, Transp. Porous Media, 63, 57, 10.1007/s11242-005-2720-3 Nithiarasu, 1998, Effect of porosity on natural convective heat transfer in a fluid saturated porous medium, Int. J. Heat Fluid Flow, 19, 56, 10.1016/S0142-727X(97)10008-X Vafai, 1986, Analysis of the channeling effect in variable porosity media, J. Energy Resour. Technol., 108, 131, 10.1115/1.3231252 Amiri, 1994, Analysis of dispersion effects and non-thermal equilibrium, non-Darcian, variable porosity incompressible flow through porous media, Int. J. Heat Mass Transf., 37, 939, 10.1016/0017-9310(94)90219-4 Pakdee, 2011, Natural convection in a saturated variable-porosity medium due to microwave heating, J. Heat Transf., 133, 62502, 10.1115/1.4003535 Sivaraj, 2017, MHD natural convection in an inclined square porous cavity with a heat conducting solid block, J. Magn. Magn. Mater., 426, 351, 10.1016/j.jmmm.2016.11.112 Hussain, 2019, Magnetoconvection and entropy analysis in T-shaped porous enclosure using finite element method, J. Thermophys. Heat Transf., 1 Choi, 1995 Tiwari, 2007, Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids, Int. J. Heat Mass Transf., 50, 2002, 10.1016/j.ijheatmasstransfer.2006.09.034 Sun, 2011, Free convection in a triangle cavity filled with a porous medium saturated with nanofluids with flush mounted heater on the wall, Int. J. Therm. Sci., 50, 2141, 10.1016/j.ijthermalsci.2011.06.005 Chamkha, 2013, Conjugate heat transfer in a porous cavity filled with nanofluids and heated by a triangular thick wall, Int. J. Therm. Sci., 67, 135, 10.1016/j.ijthermalsci.2012.12.002 Ismael, 2016, Conjugate heat transfer and entropy generation in a cavity filled with a nanofluid-saturated porous media and heated by a triangular solid, J. Taiwan Inst. Chem. Eng., 59, 138, 10.1016/j.jtice.2015.09.012 Sheremet, 2016, MHD free convection in a wavy open porous tall cavity filled with nanofluids under an effect of corner heater, Int. J. Heat Mass Transf., 103, 955, 10.1016/j.ijheatmasstransfer.2016.08.006 Sheremet, 2016, Effect of thermal dispersion on transient natural convection in a wavy-walled porous cavity filled with a nanofluid: Tiwari and Das’ nanofluid model, Int. J. Heat Mass Transf., 92, 1053, 10.1016/j.ijheatmasstransfer.2015.09.071 Selimefendigil, 2017, Mixed convection in superposed nanofluid and porous layers in square enclosure with inner rotating cylinder, Int. J. Mech. Sci., 124, 95, 10.1016/j.ijmecsci.2017.03.007 Wen, 2004, Experimental investigation into convective heat transfer of nanofluids at the entrance region under laminar flow conditions, Int. J. Heat Mass Transf., 47, 5181, 10.1016/j.ijheatmasstransfer.2004.07.012 Buongiorno, 2006, Convective transport in nanofluids, J. Heat Transf., 128, 240, 10.1115/1.2150834 Sheikholeslami, 2014, Thermal management for free convection of nanofluid using two phase model, J. Mol. Liq., 194, 179, 10.1016/j.molliq.2014.01.022 Sheremet, 2015, Mixed convection in a lid-driven square cavity filled by a nanofluid: Buongiorno’s mathematical model, Appl. Math. Comput., 266, 792, 10.1016/j.amc.2015.05.145 Garoosi, 2015, Two-phase mixture modeling of mixed convection of nanofluids in a square cavity with internal and external heating, Powder Technol., 275, 304, 10.1016/j.powtec.2015.02.015 Esfandiary, 2016, Natural convection of Al2O3-water nanofluid in an inclined enclosure with the effects of slip velocity mechanisms: Brownian motion and thermophoresis phenomenon, Int. J. Therm. Sci., 105, 137, 10.1016/j.ijthermalsci.2016.02.006 Motlagh, 2017, Natural convection of Al2O3-water nanofluid in an inclined cavity using Buongiorno’s two-phase model, Int. J. Therm. Sci., 111, 310, 10.1016/j.ijthermalsci.2016.08.022 Alsabery, 2019, Conjugate heat transfer of Al2O3-water nanofluid in a square cavity heated by a triangular thick wall using Buongiorno’s two-phase model, J. Therm. Anal. Calorimetry, 135, 161, 10.1007/s10973-018-7473-7 Alsabery, 2019, Effects of two-phase nanofluid model and localized heat source/sink on natural convection in a square cavity with a solid circular cylinder, Comput. Methods Appl. Mech. Eng., 346, 952, 10.1016/j.cma.2018.09.041 Alsabery, 2019, Effects of two-phase nanofluid model on convection in a double lid-driven cavity in the presence of a magnetic field, Int. J. Numer Methods Heat & Fluid Flow, 29, 1272, 10.1108/HFF-07-2018-0386 Alsabery, 2019, Effects of two-phase nanofluid model on MHD mixed convection in a lid-driven cavity in the presence of conductive inner block and corner heater, J. Therm. Anal. Calorimetry, 135, 729, 10.1007/s10973-018-7377-6 Haddad, 2012, Natural convection in nanofluids: are the thermophoresis and Brownian motion effects significant in nanofluid heat transfer enhancement?, Int. J. Therm. Sci., 57, 152, 10.1016/j.ijthermalsci.2012.01.016 Choi, 2014, Computation of the natural convection of nanofluid in a square cavity with homogeneous and nonhomogeneous models, Numerical Heat Transfer, Part A: Applications, 65, 287, 10.1080/10407782.2013.831695 Sheremet, 2015, Steady-state free convection in right-angle porous trapezoidal cavity filled by a nanofluid: Buongiorno’s mathematical model, European Journal of Mechanics-B/Fluids, 53, 241, 10.1016/j.euromechflu.2015.06.003 Torquato, 1992, Cross-property relations for momentum and diffusional transport in porous media, J. Appl. Phys., 72, 2612, 10.1063/1.351561 Zahmatkesh, 2019, Natural and mixed convection of a nanofluid in porous cavities: critical analysis using Buongiorno’s model, J. Theor. Appl. Mech., 57, 221, 10.15632/jtam-pl.57.1.221 Mehmood, 2017, Mixed convection in alumina-water nanofluid filled lid-driven square cavity with an isothermally heated square blockage inside with magnetic field effect: introduction, Int. J. Heat Mass Transf., 109, 397, 10.1016/j.ijheatmasstransfer.2017.01.117 Ismael, 2018, Double diffusive natural convection in a partially layered cavity with inner solid conductive body, Sci Iran, 25, 2643 Alsabery, 2018, Mixed convection of Al2O3-water nanofluid in a double lid-driven square cavity with a solid inner insert using Buongiorno’s two-phase model, Int. J. Heat Mass Transf., 119, 939, 10.1016/j.ijheatmasstransfer.2017.11.136 Corcione, 2011, Empirical correlating equations for predicting the effective thermal conductivity and dynamic viscosity of nanofluids, Energy Convers. Manag., 52, 789, 10.1016/j.enconman.2010.06.072 Prasad, 1985, Natural convection in porous media, J. Fluid Mech., 150, 89, 10.1017/S0022112085000040 Corcione, 2013, Two-phase mixture modeling of natural convection of nanofluids with temperature-dependent properties, Int. J. Therm. Sci., 71, 182, 10.1016/j.ijthermalsci.2013.04.005 Ho, 2010, Natural convection heat transfer of alumina-water nanofluid in vertical square enclosures: an experimental study, Int. J. Therm. Sci., 49, 1345, 10.1016/j.ijthermalsci.2010.02.013 Chon, 2005, Empirical correlation finding the role of temperature and particle size for nanofluid (Al2O3) thermal conductivity enhancement, Appl. Phys. Lett., 87, 3107, 10.1063/1.2093936 Bergman, 2011