Use of Random Vortex Method in Simulating Non-Newtonian Fluid Flow in a T-junction for Various Reynolds Numbers and Power-law Indexes

Past studies show that until now the Random Vortex Method (RVM) has only been used to solve flow of Newtonian fluids. In this paper, by presenting a new approach, RVM is developed for first time with aim simulating non-Newtonian For purpose, numerical simulation two-dimensional power-law fluid in T-junction presented. The conducted Re = 50-200 at inlet channel and different indexes (n 0.2-1.4). solves Navier–Stokes equations as function determines velocity any point directly without determining mesh on geometry. Potential velocity, an initial condition analysis RVM, obtained using Schwarz–Christoffel conformal mapping. effect two parameters index Reynolds number recirculation zone investigated. Acceptable agreement among results present study existing experimental shows capability proposed method, according which can be considered powerful promising method fluids laminar turbulent regimes.