Power-law fluid flow and heat transfer in a channel with a built-in porous square cylinder: Lattice Boltzmann simulation

摘要: Abstract The lattice Boltzmann method (LBM) has been established as an efficient technique for solving a fluid dynamics problem in complex porous medium. In this paper, the power-law flow and heat transfer are studied numerically channel partially filled with anisotropic block three indices, n = 0.8, 1 1.2. Combined pore level simulations of performed 2D that is square obstacles both ordered random arrangements. A step by verification procedure taken to ensure accuracy physical correctness numerical simulation. effects different arrangements obstacles, Reynolds number, power index n, blockage ratio porosity on velocity temperature profiles studied. local averaged Nusselt numbers also calculated walls. It found pseudo plastic fluids generate highest rate all configurations obstacles. For constant size, increase noticeable when arrangement random. Also decreasing porosity, value number increased. Two correlations regular obstacle between presented. values respective confidence interval reported case