Abstract
This paper deals with numerical solution of two dimensional and three dimensional laminar incompressible flows for Newtonian and non-Newtonian fluids through a branching channel. One could describe these problems using Navier-Stokes equations and continuity equation as a mathematical model using two different viscosities. The unsteady system of Navier-Stokes equations modified by unsteady term in continuity equation (artificial compressibility method) is solved by multistage Runge-Kutta finite volume method. Steady state solution is achieved for t → ∞ and convergence is followed by steady residual behaviour. For unsteady solution high compressibility coefficient β2 is considered. The numerical results for two and three dimensional cases of flows in the branching channel for Newtonian and non-Newtonian fluids are presented and compared.
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