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International Symposium on Multiphase Flow and Transport Phenomena
November, 5-10, 2000, Antalya, Turkey

DOI: 10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhen


ISBN Print: 1-56700-162-9

ANALYSIS OF THE TAYLOR VORTEX FLOW

page 9
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Краткое описание

This paper presents an analysis of the transient viscous flow in the annular space between two concentric rotating circular cylinders in three-dimensional model by the finite element method. A three-dimensional, transient incompressible viscous flow is described by the Navier-Stokes equation. A new finite element method is presented in this paper, in which the Crank-Nicolson method is applied to the momentum equation is expressed by the full implicit scheme for the temporal discretization. The linear approximation of the advection velocity is given by the Adams-Bashforth formula which has second order accuracy. The mixed interpolation for velocity and pressure fields is applied for the spatial discretization based on the MINI element. The MINI element uses the bubble function for velocities in five-node tetrahedral element and the linear interpolation for pressure in four-node tetrahedral element. The Taylor vortex flow in three-dimensional model will be solved by the present method.

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