Lattice Boltzmann Simulation of Natural Convection Heat Transfer in an Inclined Open Ended Cavity
In the present study, the lattice Boltzmann Method (LBM) is applied for simulating of Natural Convection in an inclined open ended cavity. The cavity horizontal walls are insulated while the west wall is maintained at a uniform temperature higher than the ambient. Prandtl number is fixed to 0.71 (air) while Rayligh numbers, aspect ratio of the cavity are changed in the range of 103 to 104 and of 1-4, respectively. The numerical code is validated for the previously results for open ended cavities, and then the results of an inclined open ended cavity for various angles of rotating open ended cavity are presented. Result shows by increasing of aspect ratio, the average Nusselt number on hot wall decreases for all rotation angles. When gravity acceleration direction is opposite of standard gravity direction the convection heat transfer has a manner same as conduction.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1334369Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2255
 Y.H. Qian, D. d-Humieres, P. Lallemand, Lattice BGK models for NaviereStokes equation, Europhys. Lett. 17 (6) (1992) 479-484.
 S. Chen, G.D. Doolen, Lattice Boltzmann method for fluid flows, Annu. Rev. Fluid Mech. 30 (1998) 329-364.
 D. Yu, R. Mei, L.S. Luo, W. Shyy, Viscous flow computations with the method of lattice Boltzmann equation, Progr. Aerospace Sci. 39 (2003) 329-367.
 S. Succi, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond, Clarendon Press, Oxford, London, 2001.
 E. Fattahi, M. Farhadi, K. Sedighi , Lattice Boltzmann simulation of natural convection heat transfer in eccentric annulus, International Journal of Thermal Sciences, 49 (2010) 2353-2362.
 M.A. Delavar, M. Farhadi, K. Sedighi, Numerical simulation of direct methanol fuel cells using lattice Boltzmann method, international journal of hydrogen energy, 35 (2010) 9306-9317.
 A.A. Mohamad, A. Kuzmin, A critical evaluation of force term in lattice Boltzmann method, natural convection problem, International Journal of Heat and Mass Transfer 53 (2010) 990-996
 Y.L. Chan, C.L. Tien, Laminar natural convection in shallow open cavities, J. Heat Transfer 108 (1986) 305-309.
 E. Bilgen, Passive solar massive wall systems with fins attached on the heated wall and without glazing, J. Sol. Energ. Eng. 122 (2000) 30-34.
 S.S. Cha, K.J. Choi, An interferometric investigation of open cavity natural convection heat transfer, Exp. Heat Transfer 2 (1989) 27-40.
 A. Javam, S.W. Armfield, Stability and transition of stratified natural convection flow in open cavities, J. Fluid Mech. 44 (2001) 285-303.
 A.A. Mohamad, Natural convection in open cavities and slots, International journal of Heat Transfer 27 (1995) 705-716.
 A.A. Mohamad, M. El-Ganaoui, R. Bennacer, Lattice Boltzmann simulation of natural convection in an open ended cavity, International Journal of Thermal Sciences 48 (2009) 1870-1875
 M.K. Moallemi, K.S. Jang, Prandtl number effects on laminar mixed convection heat transfer in a lid-driven cavity, Int. J. Heat Mass Transfer 35 (1992) 1881-1892.