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Stability of two-layer stratified flow down an inclined plane

Kao, Timothy W. (1964) Stability of two-layer stratified flow down an inclined plane. California Institute of Technology . (Unpublished)

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The stability of flow down an inclined plank has been investigated for the case of a stratified fluid system consisting of two layers of viscous fluid of different densities. This problem is an extension of the works of Benjamin and Yih for a homogeneous fluid; thus their results are a special case of the solution for this more general problem. Asymptotic cases for long and short wave-length disturbances are considered, and the neutral stability curve is estimated. Reynolds numbers for the bifurcation point of the neutral curve are found for various ratios of density and depth of the two layers. For long waves, shear wave instability is also studied and is found to be damped. It is found that the addition of another film of fluid of lighter density over the original film destabilizes the original free surface disturbances. It is hoped that this work will bear on problems of film flow stabilizing techniques, and will also be of interest in the study of the stability of undercurrents in reservoirs.

Item Type:Report or Paper (Technical Report)
Group:W. M. Keck Laboratory of Hydraulics and Water Resources
Record Number:CaltechKHR:KH-R-8
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Usage Policy:You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.
ID Code:25983
Deposited By: Imported from CaltechKHR
Deposited On:14 Jun 2004
Last Modified:26 Dec 2012 13:50

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