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.