Lattice Boltzmann simulation of natural convection in open end cavity with inclined hot wall

doi:10.1007/s10483-015-1928-9

Abstract

Abstract: Natural convection in an open end cavity with a hot inclined wall is simulated based on the lattice Boltzmann method (LBM). The physics of flow and energy transfer in open end cavities are addressed when the hot wall is inclined. The combination of the two topics (open cavity and inclined walls) is the main novelty of the present study. The effects of the angle of the hot inclined wall on the flow field and heat transfer are thoroughly investigated. The Prandtl number is fixed to 0.71 (air). The Rayleigh number and the angle of the hot inclined wall are varied in the range of 10⁴ to 10⁶ and 60? to 85?, respectively. The results are presented for two different aspect ratios, i.e., A = 1 and 2. The results obtained with the LBM are also compared with those of the finite volume method (FVM). The predicted results of the LBM conform to those of the FVM. The results show that by increasing the angle of the hot inclined wall and the aspect ratio of the cavity, the average Nusselt number decreases. The trend of the local Nusselt number on the inclined wall is also discussed.

Key words: open end cavity, inclined wall, natural convection, lattice Boltzmann method (LBM)

2010 MSC Number:

O241.81

M. NAZARI;H. SHOKRI;A. A. MOHAMAD. Lattice Boltzmann simulation of natural convection in open end cavity with inclined hot wall. Applied Mathematics and Mechanics (English Edition), 2015, 36(4): 523-540.

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