An improved MRT-LBM for Herschel-Bulkley fluids with high Reynolds number

摘要

We proposed a truncated multiple-relaxation-time lattice Boltzmann method (MRT-LBM) for the Herschel-Bulkley flow with high Reynolds number. The effectiveness of the proposed model was verified by Poiseuille flow. We analyzed the effect of the initial yield stress and the relative errors with diverse lattice nodes in case of different power-law indexes. Finally, the improved MRT-LBM was used to simulate the lid-driven flow of high Reynolds numbers. The streamlines prove not only the effectiveness of MRT-LBM in simulating the flow with high Reynolds number, but also the feasibility of the method in dealing with the yielding behavior of Herschel-Bulkley fluids.