Numerical Computation of Apex Angle Effects on Taylor Vortices in Rotating Conical Cylinders Systems

概要

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The occurrence of Taylor vortices between two conical cylinders of the inner one rotating and the outer one at rest is numerically simulated by the integration of time-dependent Navier-Stokes equations of the primitive variables. The motion is initiated by a progressive acceleration following a linear path of the inner conical cylinder rotation from the state of rest until its final rotation speed. In the integrated equations, the use of a coordinate transformation permitted to point out the apex angle α in the circular coordinates system and then to study the effects of α on the transient development of the Taylor-vortex structures, the steady states and the flow field characteristics. The numerical calculations have been achieved by the use of the SMAC method applied to a finite difference scheme for the case of a finite length. As a result, the symmetry of the Taylor vortices formed with regard to the mid plane for α = 0 does not exist anymore when the apex angle α becomes greater. The study of the flow field details showed that the contribution of the centrifugal forces becomes more important for increasing α due to the increase of the azimuthal component.
社団法人化学工学会の論文
2002-01-01