Lattice Boltzmann Simulation Of Power-Law Flow Past An Elliptic Cylinder And Two Phase Flow In A Square Cavity

Lattice Boltzmann method, as a mesoscopic kinetic model, has a lot of advantages, such as the simple and clear evolution process, easy implementation, high efficiency of computation and parallelism in nature which made it a strong tool to simulate the complex flows. Also application field is very wide, such as:non-Newtonian flows, multiphase flows, turbulent flows, large eddy simulation (LES), micro-scale flows and so on. While the flow behavior of non-Newtonian fluid and multiphase fluid is closely related to industrial production. Thus further study of non-Newtonian fluid and multiphase fluid has great practical value.Based on Lattice Boltzmann method and constitutive equation for power-law fluid, a model for flow in a channel is proposed, and the fully development velocity of outflow are in good agreement with it obtained by using the LBM and analytic solution. A simulation of power-law fluid past a cylinder is made. The effect of power-law index and Re on the drag coefficient for steady flow is further analyzed. Moreover, as for elliptic cylinder, the influences of different shape and power-law index on the pressure coefficient and viscosity coefficient are investigated. The validation of the model is demonstrated by the good agreement between the simulation results and the ones obtained by other numerical simulation methods. Then the two-phase flow in square cavity is simulated with Shan-Chen model, the effect of Reynolds number on the interface length is investigated. It shows that the interface length increases faster with the increase of Re.