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

• Published in: Applied mathematics and mechanics Vol. 36; no. 4; pp. 523 - 540
• Main Authors: Nazari, M., Shokri, H., Mohamad, A. A.
• Format: Journal Article
• Language: English
• Published: Heidelberg Shanghai University 01.04.2015; Department of Mechanical Engineering, Shahrood University of Technology, Shahrood 36199 95161, Iran%Department of Mechanical Engineering, Schulich School of Engineering, Centre for Environmental Engineering for Research and Education, University of Calgary, Calgary T2N 1N4, Canada
• Subjects: Applications of Mathematics; Classical Mechanics; Fluid- and Aerodynamics; LBM; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; 平均努塞尔数; 有限体积法; 格子Boltzmann方法; 格子玻尔兹曼方法; 热壁; 物理寻址; 自然对流; natural convection; 76R10; open end cavity; O241.81; inclined wall; lattice Boltzmann method (LBM)
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-015-1928-9

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 10^4 to 10^6 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.