Numerical solution of laminar incompressible generalized Newtonian fluids flow

作者：Keslerova R^*; Kozel K

来源：Applied Mathematics and Computation, 2011, 217(11): 5125-5133.

DOI：10.1016/j.amc.2010.07.049

• Dual-time stepping method
• Finite volume method
• Navier-Stokes equations
• Newtonian fluids
• Runge-Kutta scheme
• Shear thickening and thinning
• non-Newtonian fluids

This paper deals with the numerical solution of laminar viscous incompressible flows for generalized Newtonian fluids in the branching channel. The generalized Newtonian fluids contain Newtonian fluids, shear thickening and shear thinning non-Newtonian fluids. The mathematical model is the generalized system of Navier-Stokes equations. The finite volume method combined with an artificial compressibility method is used for spatial discretization. For time discretization the explicit multistage Runge-Kutta numerical scheme is considered. Steady state solution is achieved for t -> infinity using steady boundary conditions and followed by steady residual behavior. For unsteady solution a dual-time stepping method is considered. Numerical results for flows in two dimensional and three dimensional branching channel are presented.

• 出版日期2011-2-1