Numerical solution of viscous and viscoelastic fluids flow through the branching channel by finite volume scheme

4th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Keslerová, Radka^1 ; Trdlika, David^1

Czech Technical University in Prague, Faculty of Mechanical Engineering, Dep. of Technical Mathematics, Czech Republic^1

关键词: Branching channels;    Finite volume schemes;    Generalized navier-stokes equations;    Incompressible fluid;    Numerical solution;    System of equations;    Three-dimensional channels;    Vis-coelastic fluids;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/633/1/012128/pdf
DOI  :  10.1088/1742-6596/633/1/012128

来源: IOP

【 摘 要 】

This work deals with the numerical modelling of steady flows of incompressible viscous and viscoelastic fluids through the three dimensional channel with T-junction. The fundamental system of equations is the system of generalized Navier-Stokes equations for incompressible fluids. This system is based on the system of balance laws of mass and momentum for incompressible fluids. Two different mathematical models for the stress tensor are used for simulation of Newtonian and Oldroyd-B fluids flow. Numerical solution of the described models is based on cetral finite volume method using explicit Runge-Kutta time integration.