Time-dependent natural convection of micropolar fluid in a wavy triangular cavity

International Journal of Heat and Mass Transfer - Tập 105 - Trang 610-622 - 2017
Mikhail A. Sheremet1,2, Ioan Pop3, Anuar Ishak4
1Department of Theoretical Mechanics, Tomsk State University, Tomsk 634050, Russia
2Institute of Power Engineering, Tomsk Polytechnic University, 634050, Tomsk, Russia
3Department of Applied Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
4Centre for Modelling & Data Analysis, School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600, UKM Bangi, Selangor, Malaysia

Tài liệu tham khảo

Eringen, 1964, Simple microfluids, Int. J. Eng. Sci., 2, 205, 10.1016/0020-7225(64)90005-9 Wang, 2002, Forced convection in a wavy-wall channel, Int. J. Heat Mass Transfer, 45, 2587, 10.1016/S0017-9310(01)00335-0 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 J.W. Hoyt, A.G. Fabula, The effect of additives on fluid friction, US Naval Ordinance Test Station Report, 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. Eng. Phys. Thermophys., 41, 832, 10.1007/BF00836545 Kolpashchikov, 1983, Experimental determination of material micropolar fluid constants, J. Eng. Sci., 21, 405, 10.1016/0020-7225(83)90123-4 Ariman, 1973, Microcontinuum fluid mechanics – a review, Int. J. Eng. Sci., 11, 905, 10.1016/0020-7225(73)90038-4 Ariman, 1974, Application of microcontinuum fluid, Mech. Int. J. Eng. Sci., 12, 273 Łukaszewicz, 1999 Eringen, 2001 Hayat, 2004, Rotating flow of a second-order fluid on a porous plate, Int. J. Non-Linear Mech., 39, 767, 10.1016/S0020-7462(03)00040-4 Rajagopal, 2008, On the thermodynamics of fluids defined by implicit constitutive relations, J. Appl. Math. Phys., 59, 715 Fetecau, 2008, A note on the second problem of Stokes for Newtonian fluids Int, J. Non-Linear Mech., 43, 451, 10.1016/j.ijnonlinmec.2007.12.022 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 Magyari, 2010, Stokes’ first problem for micropolar fluids, Fluid Dyn. Res., 42, 025503, 10.1088/0169-5983/42/2/025503 Gibanov, 2016, Free convection in a trapezoidal cavity filled with a micropolar fluid, Int. J. Heat Mass Transfer, 99, 831, 10.1016/j.ijheatmasstransfer.2016.04.056 Peddieson, 1970, Boundary-layer theory for a micropolar fluid, Recent Adv. Eng. Sci., 5, 405 Willson, 1970, Boundary layers in micropolar fluids, Proc. Camb. Philos. Soc., 67, 469, 10.1017/S0305004100045746 Sankara, 1985, Micropolar flow past a stretching sheet, J. Appl. Math. Phys. (ZAMP), 36, 845, 10.1007/BF00944898 Heruska, 1986, Micropolar flow past a porous stretching sheet, Comput. Fluids, 14, 117, 10.1016/0045-7930(86)90004-6 Hassanien, 1990, Heat transfer to a micropolar fluid from a nonisothermal stretching sheet with suction and blowing, Acta Mech., 84, 191, 10.1007/BF01176097 Na, 1997, Boundary-later flow of a micropolar fluid due to a stretching wall, Arch. Appl. Mech., 67, 229, 10.1007/s004190050113 Ishak, 2008, Heat transfer over a stretching surface with variable heat flux in micropolar fluids, Phys. Lett. A, 372, 559, 10.1016/j.physleta.2007.08.003 Chiu, 1993, Free convection in the boundary layer flow of a micropolar fluid along a vertical wavy surface, Acta Mech., 101, 161, 10.1007/BF01175604 Chu, 2002, Mixed convection of micropolar fluids along a vertical wavy surface with a discontinuous temperature profile, Numer. Heat Transfer Part A, 42, 733, 10.1080/10407780290059783 Mahmud, 2004, Free convection and entropy generation inside a vertical inphase wavy cavity, Int. Commun. Heat Mass Transfer, 31, 455, 10.1016/S0735-1933(04)00027-2 Chen, 2007, Electrokinetically-driven flow mixing in microchannels with wavy surface, J. Colloid Interface Sci., 312, 470, 10.1016/j.jcis.2007.03.033 Al-Amiri, 2007, Effect of sinusoidal wavy bottom surface on mixed convection heat transfer in a lid-driven cavity, Int. J. Heat Mass Transfer, 50, 1771, 10.1016/j.ijheatmasstransfer.2006.10.008 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 Transfer, 92, 1053, 10.1016/j.ijheatmasstransfer.2015.09.071 Sheremet, 2016, Natural convection in a wavy open porous cavity filled with a nanofluid: Tiwari and Das’ nanofluid model, Eur. Phys. J. Plus, 131, 10.1140/epjp/i2016-16062-2 Shenoy, 2016 Varol, 2006, Free convection in porous media filled right-angle triangular enclosures, Int. Commun. Heat Mass Transfer, 33, 1190, 10.1016/j.icheatmasstransfer.2006.08.008 Rees, 1996, The Blasius boundary-layer flow of a micropolar fluid, Int. J. Eng. Sci., 34, 113, 10.1016/0020-7225(95)00058-5 Rees, 1988, Free convection boundary-layer flow of a micropolar fluid from a vertical flat plate, IMA J. Appl. Math., 61, 170 Peddieson, 1972, An application of the micropolar fluid model to the calculation of turbulent shear flow, Int. J. Eng. Sci., 10, 23, 10.1016/0020-7225(72)90072-9 Sheremet, 2015, Free convection in a square cavity filled with a porous medium saturated by nanofluid using Tiwari and Das’ nanofluid model, Transp. Porous Media, 106, 595, 10.1007/s11242-014-0415-3 Sheremet, 2015, Natural convection in a wavy porous cavity with sinusoidal temperature distribution on both side walls filled with a nanofluid: Buongiorno’s mathematical model, ASME J. Heat Transfer, 137, 072601, 10.1115/1.4029816 Sheremet, 2014, Thermo-bioconvection in a square porous cavity filled by oxytactic microorganisms, Transp. Porous Media, 103, 191, 10.1007/s11242-014-0297-4 Sheremet, 2015, Free convection in a triangular cavity filled with a porous medium saturated by a nanofluid: Buongiorno’s mathematical model, Int. J. Numer. Methods Heat Fluid Flow, 25, 1138, 10.1108/HFF-06-2014-0181 Samarskii, 1963, Local one dimensional difference schemes on non-uniform nets, USSR Comput. Math. Math. Phys., 3, 572, 10.1016/0041-5553(63)90290-8 Samarskii, 2001 Samarskii, 2002, vol. 546 Yesiloz, 2013, Laminar natural convection in right-angled triangular enclosures heated and cooled on adjacent walls, Int. J. Heat Mass Transfer, 60, 365, 10.1016/j.ijheatmasstransfer.2013.01.009 Hsu, 2006, Natural convection of micropolar fluids in an open cavity, Numer. Heat Transfer Part A, 50, 281, 10.1080/10407780600605591 Basak, 2008, Finite element simulations of natural convection in a right-angle triangular enclosure filled with a porous medium: effects of various thermal boundary conditions, J. Porous Media, 11, 159, 10.1615/JPorMedia.v11.i2.30 Oztop, 2009, Investigation of natural convection in triangular enclosure filled with porous media saturated with water near 4°C, Energy Convers. Manage., 50, 1473, 10.1016/j.enconman.2009.02.023 Aydin, 2007, Natural convection in a differentially heated enclosure filled with a micropolar fluid, Int. J. Therm. Sci., 46, 963, 10.1016/j.ijthermalsci.2006.11.018 Zadravec, 2009, Natural convection of micropolar fluid in an enclosure with boundary element method, Eng. Anal. Boundary Elem., 33, 485, 10.1016/j.enganabound.2008.08.013 Wang, 1998, Thermal convection of micropolar fluids past two-dimensional or axisymmetric bodies with suction/injection, Int. J. Eng. Sci., 26, 1267