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Volume 3, Issue 1-1, January 2015, Page: 1-7
Effects of Aspect Ratios on Flow Friction and Thermal Behavior Inside a Close Domain Using Lattice Boltzmann Method
M. A. Taher, Dept. of Mechanical and Automotive Engineering, Pukyong National University, Busan 608-739, Korea
Litan Kumar Saha, Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh
Y. W. Lee, Dept. of Mechanical and Automotive Engineering, Pukyong National University, Busan 608-739, Korea
Received: Nov. 11, 2014;       Accepted: Nov. 12, 2014;       Published: Nov. 29, 2014
Abstract
Numerical study of flow friction and thermal behavior on a moving lid of a triangular cavity with various aspect ratios has been discussed using a Thermal Lattice Boltzmann Method (TLBM). To analyze the combined force and free convection, known as mixed convection, flows and heat transfer process in a lid driven triangular cavity with various aspect ratios AR(=L/H)=0.5, 1.0 and 2.0 are taken into account in the present study. The results are presented as stream function in terms of velocity, average heat transfer rate in terms of Nusselt number (Nu), and friction on moving lid of cavity for different Reynolds number (Re) as well as buoyancy parameter (λ). The heat transfer rate and friction on moving lid increased and decreased significantly with increasing Reynolds number and aspect ratios but they are linearly and very slowly changed with buoyancy effects. Similarly, the fluid flow behavior significantly changed with higher Reynolds number and aspect ratios compare to lower Re and AR. In addition, the less friction and more heat transfer occurred at case of free convection dominant case compare to forced convection dominant case. Similar behavior is observed for fluid flow analysis inside cavity. The model is validated by other numerical scheme and a very good agreement is found.
Keywords
Lattice-Boltzmann, Heat Transfer, Friction Factor, Richardson Number, Reynolds Number, Stream Function
M. A. Taher, Litan Kumar Saha, Y. W. Lee, Effects of Aspect Ratios on Flow Friction and Thermal Behavior Inside a Close Domain Using Lattice Boltzmann Method, American Journal of Applied Mathematics. Special Issue:Fluid Flow and Heat Transfer Inside a Closed Domain. Vol. 3, No. 1-1, 2015, pp. 1-7. doi: 10.11648/j.ajam.s.2015030101.11
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