Numerical investigation of MHD flow of non-Newtonian fluid over confined circular cylinder: a lattice Boltzmann approach

Abstract

In this paper, the magnetohydrodynamics (MHD) flow of non-Newtonian fluid around a circular cylinder that is placed in a two-dimensional channel is studied numerically. The lattice Boltzmann model is used to simulate the flow field. The well-known power law model is applied to study the non-Newtonian behavior of fluid. Numerical simulations are carried out to investigate the effects of power law index, Reynolds and Stuart number on the flow structure and regime. Moreover, the variation of Strouhal number and drag coefficient with Stuart number is presented for different power law indexes. Additionally, change in flow pattern from unsteady to steady state at different power law indexes are captured and correlated. The results indicate that the control of vortex shedding in shear-thinning fluid needs to exert stronger magnetic field.