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Conflict of Interest: In relation to this article, we declare that there is no conflict of interest.

Publication history: Received October 24, 2003
Accepted April 25, 2004

This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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The Onset of Taylor-Gortler Vortices in Impulsively Decelerating Swirl Flow

Min Chan Kim^† Chang Kyun Choi¹

Department of Chemical Engineering, Cheju National University, Cheju 690-756, Korea ¹School of Chemical Engineering, Seoul National University, Seoul 151-744, Korea

mckim@cheju.ac.kr

Korean Journal of Chemical Engineering, July 2004, 21(4), 767-772(6), 10.1007/BF02705518

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Abstract

The onset of hydrodynamical instability induced by impulsive spin-down to rest in a cylinder containing a Newtonian fluid is analyzed by using propagation theory. It is well-known that the primary transient swirl flow is laminar, but with initial high velocities secondary motion sets in at a certain time. The dimensionless critical time τ_c to mark the onset of instability is presented here as a function of the Reynolds number Re. Available experimental data indicate that for large Re deviation of the velocity profiles from their momentum diffusion occurs starting from a certain time τ ≒ 4 τ_c. This means that secondary motion is detected at this characteristic time. It seems evident that during τ_c ≤ τ ≤ 4 τ_c, secondary motion is relatively very weak and the primary diffusive momentum transfer is dominant.

Keywords

Taylor-Gortler Vortex Swirl Flow Reynolds Number Hydrodynamical Instability Propagation Theory

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