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A numerical and experimental investigation of the stability of spiral Poiseuille flow

Published online by Cambridge University Press:  20 April 2006

Donald I. Takeuchi  and
Daniel F. Jankowski
Donald I. Takeuchi
Affiliation:
Department of Mechanical and Energy Systems Engineering, Arizona State University, Tempe, Arizona 85281 Present address: AiResearch Manufacturing Company, Phoenix, Arizona.
Daniel F. Jankowski
Affiliation:
Department of Mechanical and Energy Systems Engineering, Arizona State University, Tempe, Arizona 85281
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Abstract

The linear stability of the spiral motion induced between concentric cylinders by an axial pressure gradient and independent cylinder rotation is studied numerically and experimentally for a wide-gap geometry. A three-dimensional disturbance is considered. Linear stability limits in the form of Taylor numbers TaL are computed for the rotation ratios μ, = 0, 0·2, and -0·5 and for values of the axial Reynolds number Re up to 100. Depending on the values of μ and Re, the disturbance which corresponds to TaL can have a toroidal vortex structure or a spiral form. Aluminium-flake flow visualization is used to determine conditions for the onset of a secondary motion and its structure at finite amplitude. The experimental results agree with the predicted values of TaL for μ [ges ] 0, and low Reynolds number. For other cases in which agreement is only fair, apparatus length is shown to be a contributing influence. The comparison between experimental and predicted wave forms shows good agreement in overall trends.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 102 , January 1981 , pp. 101 - 126
Copyright
© 1981 Cambridge University Press

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