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Stability of a visco-elastic liquid film flowing down an inclined plane

Published online by Cambridge University Press:  28 March 2006

A. S. Gupta
A. S. Gupta
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kharagpur, India
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Abstract

The investigation concerns the stability of an incompressible second-order fluid (visco-elastic) film flowing down an inclined plane under gravity with respect to two-dimensional disturbances. When the elastic parameter is negative as in the case of a solution of polyisobutylene in cetane, surface disturbances (‘soft’ waves) are found to be unstable. The analysis in this case also reveals the existence of growing shear waves (‘hard’ waves) which are highly damped in ordinary Newtonian fluids.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 28 , Issue 1 , 12 April 1967 , pp. 17 - 28
Copyright
© 1967 Cambridge University Press

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