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Instability of a horizontal layer of viscoelastic liquid on an oscillating plane

Published online by Cambridge University Press:  29 March 2006

B. S. Dandapat  and
A. S. Gupta
B. S. Dandapat
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kharagpur
A. S. Gupta
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kharagpur
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Abstract

Secular instability of unsteady flow of a horizontal layer of viscoelastic liquid set in motion by simple harmonic motion of the lower boundary in its own plane is investigated. Using an extension of Floquet's theory for ordinary differential equations, the stability of long waves is studied by a regular perturbation method. The elastic parameter of the fluid is found to be destabilizing and stabilizing in different ranges of frequency.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 72 , Issue 3 , 9 December 1975 , pp. 425 - 432
Copyright
© 1975 Cambridge University Press

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