Lattice Boltzmann simulation of Non-Newtonian power-law fluid flows in a bifurcated channel

The present paper aims to study of non-Newtonian fluid flow behaviors in a two-dimensional bifurcated channel using lattice-Boltzmann method (LBM). In this LBM, well known D2Q9 model, and the single-relaxation-time (SRT) called the Lattice-BGK (Bhatnagar-Gross-Krook) approach has been adopted. In a bifurcated channel, the flow patterns are analogous to blood flows in branched arteries. Firstly, the code is validated by comparing the available published results for the Newtonian fluid flows in a channel with T-junction. The numerical results are simulated for the Reynolds number Re = 300, power-law index n = 0.5, 1.0 and 1.5, and the outlet flow rate ratio β. The effects of this relevant parameter on the streamlines, velocity distribution, recirculation zones as well as wall shear stress will be discussed to analyze the hemodynamic of blood flows near arterial bifurcations.