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  • This article presents the numerical solution of laminar incompressible viscous flow in a branched 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 Runge-Kutta time integration. The unsteady system of equations with steady boundary conditions is solved by finite volume method. Steady state solution is achieved for t->infty. In this case the the artificial compressibility method can be applied. Numerical Results obtained by this method are presented and compared.
  • This article presents the numerical solution of laminar incompressible viscous flow in a branched 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 Runge-Kutta time integration. The unsteady system of equations with steady boundary conditions is solved by finite volume method. Steady state solution is achieved for t->infty. In this case the the artificial compressibility method can be applied. Numerical Results obtained by this method are presented and compared. (en)
Title
  • Steady and Unsteady 2D Numerical Solution of Generalized Newtonian Flow
  • Steady and Unsteady 2D Numerical Solution of Generalized Newtonian Flow (en)
skos:prefLabel
  • Steady and Unsteady 2D Numerical Solution of Generalized Newtonian Flow
  • Steady and Unsteady 2D Numerical Solution of Generalized Newtonian Flow (en)
skos:notation
  • RIV/68407700:21220/12:00192988!RIV13-MSM-21220___
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  • P(GA101/09/1539), P(GA201/08/0012), P(GAP201/11/1304), Z(MSM6840770003), Z(MSM6840770010)
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  • 171312
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  • RIV/68407700:21220/12:00192988
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  • Generalized Newtonian fluid; Finite volume method; steady and unsteady flow (en)
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  • [E92885D9CDF2]
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  • Praha
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  • Praha
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  • Proceedings of the International Conference Applications of Mathematics 2012
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  • Kozel, Karel
  • Keslerová, Radka
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number of pages
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  • Matematický ústav AV ČR
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  • 978-80-85823-60-8
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  • 21220
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