Natural convection of micropolar fluid in a wavy differentially heated cavity

Journal of Molecular Liquids - Tập 221 - Trang 518-525 - 2016
Nikita S. Gibanov1, Mikhail A. Sheremet1,2, Ioan Pop3
1Department of Theoretical Mechanics, Tomsk State University, 634050 Tomsk, Russia
2Department of Nuclear and Thermal Power Plants, Tomsk Polytechnic University, 634050 Tomsk, Russia
3Department of Applied Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania

Tài liệu tham khảo

Eringen, 1966, Theory of micropolar fluids, J. Math. Mech., 16, 1 Eringen, 1972, Theory of thermomicrofluids, J. Math. Anal. Appl., 38, 480, 10.1016/0022-247X(72)90106-0 Agarwal, 1990, Finite element solution of unsteady three-dimensional micropolar fluid flow at a stagnation-point, Int. J. Engng. Sci., 28, 851, 10.1016/0020-7225(90)90030-M Kelson, 2001, Micropolar flow over a porous stretching sheet with strong suction or injection, Int. Commun. Heat Mass Transfer, 28, 479, 10.1016/S0735-1933(01)00252-4 Bhargava, 2003, Finite element solution of mixed convection micropolar flow driven by a porous stretching sheet, Int. J. Engng. Sci., 41, 2161, 10.1016/S0020-7225(03)00209-X Ishak, 2006, Moving wedge and flat plate in a micropolar fluid, Int. J. Engng. Sci., 44, 1225, 10.1016/j.ijengsci.2006.08.005 Ishak, 2007, Boundary layer flow of a micropolar fluid on a continuous flat plate moving in a parallel stream with constant surface heat flux, Canad. J. Phys., 85, 869, 10.1139/p07-079 Lok, 2009, Steady two-dimensional periodic motion of a micropolar fluid near an infinite array of moving walls, J. Appl. Math. Mech. (ZAMM), 89, 570, 10.1002/zamm.200800168 Tetbirt, 2016, Numerical study of magnetic effect on the velocity distribution field in a macro/micro-scale of a micropolar and viscous fluid in vertical channel, J. Mol. Liq., 216, 103, 10.1016/j.molliq.2015.12.088 Fakour, 2015, Analytical study of micropolar fluid flow and heat transfer in a channel with permeable walls, J. Mol. Liq., 204, 198, 10.1016/j.molliq.2015.01.040 Ariman, 1973, Microcontinuum fluid mechanics – a review, Int. J. Engng. Sci., 11, 905, 10.1016/0020-7225(73)90038-4 Ariman, 1974, Application of microcontinuum fluid mechanics, Int. J. Engng. Sci., 12, 273, 10.1016/0020-7225(74)90059-7 Łukaszewicz, 1999 Eringen, 2001 Hoyt, 1964 Power, 1998, Micropolar fluid model for the brain fluid dynamics Migun, 1981, Experimental method of determining parameters characterizing the microstructure of micropolar fluids, J. Engng. Phys. Thermophys., 41, 832, 10.1007/BF00836545 Kolpashchikov, 1983, Experimental determination of material micropolar fluid constants, J. Engng. Sci., 21, 405, 10.1016/0020-7225(83)90123-4 Sheikholeslami, 2014, Micropolar fluid flow and heat transfer in a permeable channel using analytical method, J. Mol. Liq., 194, 30, 10.1016/j.molliq.2014.01.005 Mosayebidorcheh, 2014, Analytical investigation of the micropolar flow through a porous channel with changing walls, J. Mol. Liq., 196, 113, 10.1016/j.molliq.2014.03.022 Zheng, 2012, Dual solutions for flow and radiative heat transfer of a micropolar fluid over stretching/shrinking sheet, Int. J. Heat Mass Transf., 55, 7577, 10.1016/j.ijheatmasstransfer.2012.07.067 Zhang, 2015, MHD flow and radiation heat transfer of nanofluids in porous media with variable surface heat flux and chemical reaction, Appl. Math. Model., 39, 165, 10.1016/j.apm.2014.05.023 Lin, 2015, MHD pseudo-plastic nanofluid unsteady flow and heat transfer in a finite thin film over stretching surface with internal heat generation, Int. J. Heat Mass Transf., 84, 903, 10.1016/j.ijheatmasstransfer.2015.01.099 Vahl Davis, 1983, Natural convection of air in a square cavity: a bench mark numerical solution, Int. J. Numer. Methods Fluids, 3, 249, 10.1002/fld.1650030305 Peterson, 1990, Thermal control of electronic equipment and devices, Adv. Heat Transfer, 20, 181, 10.1016/S0065-2717(08)70028-5 Sheremet, 2015, Natural convection in a wavy porous cavity with sinusoidal temperature distributions on both side walls filled with a nanofluid: Buongiorno's mathematical model, J. Heat Transf., 137, 072601, 10.1115/1.4029816 Sheremet, 2015, Unsteady free convection in a porous open wavy cavity filled with a nanofluid using Buongiorno's mathematical model, Int. Commun. Heat Mass Transfer, 67, 66, 10.1016/j.icheatmasstransfer.2015.07.007 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 Sheremet, 2016, Magnetic field effect on the unsteady natural convection in a wavy-walled cavity filled with a nanofluid: Buongiorno's mathematical model, J. Taiwan Inst. Chem. Eng., 61, 211, 10.1016/j.jtice.2015.12.015 Sheikholeslami, 2016, Effect of electric field on hydrothermal behavior of nanofluid in a complex geometry, J. Mol. Liq., 213, 153, 10.1016/j.molliq.2015.11.015 Shenoy, 2016 Sheremet, 2013, Unsteady conjugate natural convection in a vertical cylinder partially filled with a porous medium, Num, Heat Transfer, Part A, 64, 994, 10.1080/10407782.2013.811973 Sheremet, 2014, Conjugate natural convection in a square porous cavity filled by a nanofluid using Buongiorno's mathematical model, Int. J. Heat Mass Transf., 79, 137, 10.1016/j.ijheatmasstransfer.2014.07.092