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Note on the stability of a visco-elastic liquid film flowing down an inclined plane

Published online by Cambridge University Press:  28 March 2006

A. S. Gupta
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kharagpur
Lajpat Rai
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kharagpur

Abstract

An analysis is presented for the stability of a viscoelastic liquid film flowing down an inclined plane with respect to three-dimensional disturbances. It is shown that under certain circumstances, these disturbances are more unstable than the two-dimensional ones, contrary to Squire's theorem.

Type
Research Article
Copyright
© 1968 Cambridge University Press

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References

Benjamin, T. B. 1957 J. Fluid Mech. 2, 554.
Coleman, B. D. & Noll, W. 1960 Arch. Rat. Mech. Anal. 6, 355.
Gupta, A. S. 1967 J. Fluid Mech. 28, 17.
Listrov, A. T. 1966 Soviet Phys. Dokl. (English translation), 10, 921.
Truesdell, C. 1962 Proc. Int. Symp., Haifa, Israel, 23–27 April, p. 1.
Yih, C. S. 1955 Proc. 2nd U.S. Nat. Congr. Appl. Mech. pp. 6238.
Yih, C. S. 1963 Phys. Fluids, 6, 321.
Yih, C. S. 1965 Phys. Fluids, 8, 1257.