Simulation of Carreau-Yasuda Flow in Stenotic Channel by Non-Newtonian Lattice Boltzmann Method

In the current study, the non-Newtonian blood flow in a two-dimensional stenotic vessel is simulated. Carreau-Yasuda model is used to investigate the shear-thinning behavior of fluid flow. The non- Newtonian lattice Boltzmann method is applied to numerical simulation of blood flow. Curve boundaries are modeled with two-order accuracy. Numerical results of current study are compared and successfully validated with results of non-Newtonian Carreau-Yasuda fluid in a simple two dimensional channel. Mesh grid study is conducted to show the independence of numerical method by using three different grid sizes. To investigate the effect of occlusion on different parameters affecting in blood flow such as velocity, pressure and drag coefficient, the corresponding profiles and contours are drawn. The results show that the pressure drop will be significant in the area after the stenotices. Although the blood flow is laminar and nonNewtonian, the vortex structures formed after the obstacles.