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COMPUTATIONAL INVESTIGATION OF HEATED LID-DRIVEN SQUARE CAVITY USING LATTICE BOLTZMANN METHOD

P. Purushothaman
Department of Thermal and Energy Engineering, School of Mechanical Engineering, VIT University, Vellore, Tamilnadu, India

S. Arun
Department of Thermal and Energy Engineering, School of Mechanical Engineering, VIT University, Vellore, Tamilnadu, India

A. Satheesh
Department of Thermal and Energy Engineering, School of Mechanical Engineering, VIT University, Vellore, Tamilnadu, India

DOI: 10.1615/IHMTC-2017.3070
pages 2195-2201

Abstract

In this work, the mixed convective heat transfer and fluid flow behaviour in a lid-driven square cavity using lattice Boltzmann method (LBM) are presented. For achieving the best numerical permanence and accuracy, the flow and energy equations are solved by two-dimension nine-directional (D2Q9) lattice arrangement. The fluid flow in the cavity is driven by top moving wall in positive X-direction (u) while all other walls remain stationary. Top and bottom walls are thermally insulated. The left and right walls are considered as hot temperature (TH) and cold temperature (TC), respectively. Governing equation are solved by LBM and Single Relaxation Time - Bhatnagar, Gross, and Krook (SRT-BGK) model. The optimized grid size of 256 × 256 was achieved for this study based on the average Nusselt number (Nuavg). The collision and streaming processes are carried out until achieving the steady solution which occurs at approximately five lack iterations. The mixed convection pertaining range of parameters such as Reynolds number (Re = 100, 400, and 1000) and Prandtl number (Pr = 1 and 5) with constant Rayleigh number (Ra = 1000). The physical insights of systems are explained by analyzing the variation of streamlines, and temperature contours. The heat transfer enhancement is also investigated using local and average Nusselt number (Nu). The results suggest the effect of increasing Reynolds number and Prandtl number the rate of heat transfer and the average Nussult number increased.

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