investigation of rheological behavior of suspensions included power-law fluid by combined lattice-Boltezmann method with smoothed profile method

In the present work, we offer a novel numerical algorithm based on the lattice Boltzmann method (LBM) to consider the motion of many circular particles in a non-Newtonian power law fluid in Couette flow and it is combined with the smoothed profile method which explains the movement of particles. At first, the velocity variation of shear-thickening has been analyzed and the results was compared with the numerical results of the previous works. The present study is a first report, which investigate flow behavior of circular particles with the same and different size in power law medium in Couette flow on the LBM framework. The effective viscosity of a particulate suspension that are placed randomly inside two parallel walls is considered for 0.04