Simulation of Particle Motion in Non-Newtonian Fluids by Immersed Boundary Lattice Boltzmann Method

In the current study, the immersed boundary – non-Newtonian lattice Boltzmann method is developed for simulation of forces act on a particle and also for computation of the particle velocity in vicinity of non-Newtonian fluids. In this research, the effect of extra force due to accelerated mass is also considered in non-Newtonian particle motion equations. Two applied problems of power-law non-Newtonian fluid flow over a stationary cylinder with square cross-section and a square falling particle in non-Newtonian fluids with different shear-thinning and shear-thickening behaviour are investigated. Results indicate that the force act on stationary cylinder and ultimate velocity of falling particle will experience considerable increase and decrease with growth of power-law non-Newtonian behaviour index, respectively.