Immersed boundary - lattice Boltzmann method for modeling non-Newtonian flow around curved boundaries

In this paper، the immersed boundary-lattice Boltzmann method has been employed to simulate non-Newtonian flow around curve boundaries. The pressure base lattice Boltzmann equations have been used to solve the Eulerian domain to estimate proper pressure gradient in the Poiseuille flow. In addition Immersed boundary method (IBM) utilizes a discrete set of force density is also used to represent the effect of boundary on flow domain. In addition to simulate the real physical dominate problem and study the right effects of non-Newtonian fluid properties، scaling parameters have been introduced to notice the relationship between physical and lattice variables. At First، the capability of present method is examined for simulating the power-law fluid flow around a confined circular cylinder and the results show good agreement with previous study. In the following، the power-law fluid flow around elliptical cylinder in a channel is investigated for three aspect ratios eta=1،1. 5،2 and for 5