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Non-parallel flow effects on the stability of film flow down a right circular cone

Published online by Cambridge University Press:  19 April 2006

Richard L. Zollars  and
William B. Krantz
Richard L. Zollars
Affiliation:
Department of Chemical Engineering, University of Colorado, Boulder, Colorado 80309
William B. Krantz
Affiliation:
Department of Chemical Engineering, University of Colorado, Boulder, Colorado 80309
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Abstract

A global asymptotic solution for the linear stability of this flow with respect to axisymmetric disturbances is developed without invoking the usual quasi-parallel flow assumption. This solution predicts the occurrence of quasi-periodic spatially amplified disturbances relatively near the apex, which ultimately are stabilized further down the cone by the relative increase in viscous forces associated with the progressive thinning of the film. The wave speed and wavelength of these disturbances are found to decrease with increasing distance from the apex.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 96 , Issue 3 , 13 February 1980 , pp. 585 - 601
Copyright
© 1980 Cambridge University Press

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