Numerical Investigation of Conjugate Natural Convection Heat Transfer in Porous Enclosure with Lattice Boltzmann Method

Authors

Department of Mechanical Engineering, Ferdowsi University, Mashhad, Iran

Abstract

In this study, the laminar conjugate natural convection inside a porous enclosure with two solid walls is studied numerically using the lattice Boltzmann method. The Porous media is simulated at the representative elementary volume scale. The Darcy–Brinkman–Forchheimer model is used to model the porous media in the range of 10-4

Keywords

Main Subjects


[1]  Mohammadi Pirouz M, Farhadi M, Sedighi K, Nemati H, Fattahi E (2011) Lattice Boltzmann simulation of conjugate heat transfer in a rectangular channel with wall-mounted obstacles. Sci Iran18(2): 213-221.
[2]  Fedorov AG, Viskanta R (2000) Three-dimensional conjugate heat transfer in the microchannel heat sink for electronic packaging. Int J Heat Mass Tran 43(3): 399-415.
[3] McNamara GR, Zanetti G (1988) Use of the Boltzmann Equation to Simulate Lattice-Gas Automata. Phys Rev E 61(20): 2332-2335.
[4]  Chen S, Doolen GD (1998) Lattice Boltzmann method for fluid flows. Annu Rev Fluid Mech 30: 329-364.
[5]  Higuera FJ, Jiménez J. (1989) Boltzmann Approach to Lattice Gas Simulations. EPL (Europhys Let) 9(7): 663.
[6]  Teixeira C, Chen H, Freed DM (2000) Multi-speed thermal lattice Boltzmann method stabilization via equilibrium under-relaxation. Comput Phys Commun 129(1–3): 207-226.
[7]  Wang J, Wang M, Li Z (2007) A lattice Boltzmann algorithm for fluid–solid conjugate heat transfer. Int J Therm Sci 46(3): 228-234.
[8]  Nazari M, Mohebbi R, Kayhani MH (2014) Power-law fluid flow and heat transfer in a channel with a built-in porous square cylinder: Lattice Boltzmann simulation. J Non-Newton Fluid 204: 38-49.
[9]  Guo Z, Zhao TS (2002) Lattice Boltzmann model for incompressible flows through porous media. Phys Rev E 66(3).
[10] Guo Z, Zhao TS (2005) A Lattice Boltzmann model for convection heat transfer in porous media. NumerHeat Tr B-Fund 47(2): 157-177.
[11] Seta T, Takegoshi E, Okui K (2006) Lattice Boltzmann simulation of natural convection in porous media. Math Comput Simulat 72(2–6): 195-200.
[12] Haghshenas A, Nasr MR, Rahimian MH (2010) Numerical simulation of natural convection in an open-ended square cavity filled with porous medium by lattice Boltzmann method. Int Commun Heat Mass 37(10): 1513-1519.
[13] Gao D, Chen Z, Chen L (2014) A thermal lattice Boltzmann model for natural convection in porous media under local thermal non-equilibrium conditions. Int J Heat Mass Tran 70: 979-989.
[14] Chang WJ, Lin HC (1994) Wall heat conduction effect on natural convection in an enclosure filled with a non-Darcian porous medium. Numer Heat Tr A-Appl, 25(6): 671-684.
[15] Baytaş AC, Liaqat A, Groşan T, Pop I (2001) Conjugate natural convection in a square porous cavity.  Heat Mass Transfer 37(4-5): 467-473.
[16] Nawaf HS (2007) Conjugate natural convection   in a vertical porous layer sandwiched by finite thickness walls. Int Commun Heat Mass 34(2): 210-216.
[17] Nawaf. HS (2007) Conjugate natural convection in a porous enclosure: effect of conduction in one of the vertical walls. Int J Therm Sci 46(6): 531-539.
[18] Chamkha AJ, Ismael MA (2013) Conjugate heat transfer in a porous cavity filled with nanofluids and heated by a triangular thick wall. Int J Therm Sci 67: 135-151.
[19] Beckermann C, Vikanta R, Ramadhyani S (1988) Natural convection in vertical enclosures containing simultaneously fluid and porous layers. J Fluid Mech 186: 257-284.
[20] Gao D, Chen Z, Chen L (2014) A thermal lattice Boltzmann model for natural convection in porous media under local thermal non-equilibrium conditions. Int J Heat Mass Tran 70: 979-989.
[21] Hsu CT, Cheng P (1990) Thermal dispersion in a porous medium. Int J Heat Mass Tran 33(8): 1587-1597.
[22] Vafai K (1984) Convective flow and heat transfer in variable-porosity media. J Fluid Mech 147: 233-259.
[23] Vahl Davis GD (1983) Natural convection of air in a square cavity: A bench mark numerical solution. Int J Numer Meth Fl 3: 249-264.
[24] نظری م، کیهانی م ح، انارکی حاجی باقری آ (1392) مقایسه انتقال حرارت در یک محفظه بسته دارای لایه متخلخل عمودی وافقی به روش شبکه­ بولتزمن، مجله علمی پژوهشی مهندسی مکانیک مدرس 13(8): 93- 107.
[25] Vishnampet R, Narasimhan A, Babu V (2011) High Rayleigh Number Natural Convection Inside 2D Porous Enclosures Using the Lattice Boltzmann Method. J Heat Transf 133(6).
[26] Mohamad AA (2007) Applied Lattice Boltzmann method for transport phenomena, Momentum, Haet Mass transfer. Sure print, Calggray, Canada.
[27] Nithiarasu P, Seetharamu KN, Sundararajan T (1997) Natural convective heat transfer in a fluid saturated variable porosity medium. Int J Heat Mass Tran 40(16): 3955-3967.
[28] Kaminski DA, Prakash C (1986) Conjugate natural convection in a square enclosure: effect of conduction in one of the vertical walls. Int J Heat Mass Tran 29(12): 1979-1988.