Boundary element method for micropolar fluid flow in a channel

摘要

The contribution deals with numerical simulation of micropolar fluid flow in channel, describing flow of suspensions with rigid and underformable particles with own rotation. The micropolar fluid flow theory is incorporated into the framework of a velocity-vorticity formulation of Navier-Stokes equations. The governing equations are derived in differential and integral form, resulting from the application of a Boundary Element Method (BEM). In integral transformations, the diffusion-convection fundamental solution for flow kinetics, including vorticity transport, heat transport and microrotation transport, is implemented. The Poiseuille flow test case is the benchmark case of channel flow. The results show, that the ratio between vortex viscosity coefficient and spin gradient viscosity coefficient controls the microrotation in the micro channel.