Displaying similar documents to “Numerical solution of 2D and 3D incompressible laminar flows through a branching channel”

Numerical solution of Newtonian flow in bypass and non-Newtonian flow in branching channels

Keslerová, R., Kozel, K., Prokop, V.

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This paper deals with the numerical solution of Newtonian and non-Newtonian flows. The flows are supposed to be laminar, viscous, incompressible and steady. The model used for non-Newtonian fluids is a variant of the power-law. Governing equations in this model are incompressible Navier-Stokes equations. For numerical solution we could use artificial compressibility method with three stage Runge-Kutta method and finite volume method in cell centered formulation for discretization of...

Numerical solution of steady and unsteady bypass flow

Prokop, Vladimír, Kozel, Karel

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This paper deals with a problem of numerical solution of laminar viscous incompressible stationary and nonstationary flows through a vessel with bypass. One could describe these problems by using model of the Navier-Stokes equations and find a steady solution of an unsteady system by using a multistage Runge-Kutta method together with a time dependent artificial compressibility method. Nonstationary solution is achieved from initial stationary solution by prescribing of nonstationary...

Steady and unsteady 2D numerical solution of generalized Newtonian fluids flow

Keslerová, Radka, Kozel, Karel

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This article presents the numerical solution of laminar incompressible viscous flow in a branching channel for generalized Newtonian fluids. The governing system of equations is based on the system of balance laws for mass and momentum. The generalized Newtonian fluids differ through choice of a viscosity function. A power-law model with different values of power-law index is used. Numerical solution of the described models is based on cell-centered finite volume method using explicit...

An unsteady numerical solution of viscous compressible flows in a channel

Punčochářová, Petra, Kozel, Karel, Fürst, Jiří, Horáček, Jaromír

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The work deals with numerical solution of unsteady flows in a 2D channel where one part of the channel wall is changing as a given function of time. The flow is described by the system of Navier-Stokes equations for compressible (laminar) flows. The flow has low velocities (low Mach numbers) and is numerically solved by the finite volume method. Moving grid of quadrilateral cells is considered in the form of conservation laws using ALE (Arbitrary Lagrangian-Eulerian) method. ...