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NUMERICAL MODELING OF GENERALIZED NEWTONIAN FLOWS IN CHANNELS

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概要 This paper is concerned with numerical solution of generalized Newtonian flow in the channel geometry. This flow is described by the system of generalized Navier-Stokes equations. The system of equati...ons consists of continuity and momentum equations. Viscosity in the momentum equations is not constant and is prescribed by a function depending on the shear rate. Numerical solution is based on the artificial compressibility method. Using this method allows us to solve hyperbolic-parabolic system of equations as a system of parabolic equations in time and to use time marching methods to find steady solution. Cell centered finite volume method is used for spatial discretization of the equations. Convective and viscous fluxes are computed using central discretization. Dual finite volume cells are used to compute spatial derivatives of the components of the velocity vector. Three-stage Runge-Kutta method is used for the solution of an arising system of ordinary differential equations. Unsteady computation is carried on by the dual-time stepping method.続きを見る
目次 1.Introduction 2.Mathematical model 3.Numerical solution 4.Results 5.Conclusion

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登録日 2014.10.27
更新日 2023.10.12

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