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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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References

Benjamin, T. B. 1957 J. Fluid Mech. 2, 554.
Berg, J. C. & Acrivos, A. 1965 Chem. Engng Sci. 20, 737.
Binnie, A. M. 1957 J. Fluid Mech. 2, 551.
Coleman, B. D., Duffin, R. J. & Mizel, V. J. 1965 Arch. Rat. Mech. Anal. 19, 100.
Coleman, B. D. & Noll, W. 1960 Arch. Rat. Mech. Anal. 6, 355.
Levich, V. G. 1962 Physico-chemical Hydrodynamics. Englewood Cliffs, N.J.: Prentice-Hall.
Markovitz, H. & Coleman, B. D. 1964 Adv. Appl. Mech. New York: Academic Press.
Noll, W. 1958 Arch. Rat. Mech. Anal. 2, 197.
Rivlin, E. S. & Ericksen, J. L. 1955 J. Rat. Mech. Anal. 4, 681.
Truesdell, C. 1965 Phys. Fluids, 8, 1936.
Yih, C. S. 1955 Proc. Second U.S. Nat. Cong. Appl. Mech. pp. 623–628.
Yih, C. S. 1963 Phys. Fluids, 6, 321.
Yih, C. S. 1965 Phys. Fluids, 8, 1257.