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Journal of Applied Mechanics and Technical Physics

2016 year, number 1

Comparative Study of Forced Convection of a Power-Law Fluid in a Channel with a Built-In Square Cylinder

R. Mohebbi1, M. Nazari2, M. H. Kayhani2
1Damghan University, Damghan, Iran
2Shahrood University of Technology, Shahrood, Iran
Keywords: вынужденная конвекция, степенные жидкости, метод решеточных уравнений Больцмана, метод конечных элементов, forced convection, power-law fluid, lattice Boltzmann method, finite element method


A detailed comparison between the lattice Boltzmann method and the finite element method is presented for an incompressible steady laminar flow and heat transfer of a power-law fluid past a square cylinder between two parallel plates. Computations are performed for three different blockage ratios (ratios of the square side length to the channel width) and different values of the power-law index n covering both pseudo-plastic fluids (n<1) and dilatant fluids (n>1). The methodology is validated against the exact solution. The local and averaged Nusselt numbers are also presented. The results show that the relatively simple lattice Boltzmann method is a good alternative to the finite element method for analyzing non-Newtonian fluids.