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On swimming in a visco-elastic liquid

Published online by Cambridge University Press:  19 April 2006

T. K. Chaudhury
Affiliation:
Mathematics Department, University of Burdwan, Burdwan: 713 104, West Bengal, India

Abstract

The velocity induced by a transversely waving infinite flexible sheet in a viscoelastic liquid is investigated by a method of successive approximation up to second order in the amplitude of oscillation of the sheet. The incompressible second-order fluid model has been used and it is found that the elastic property of the fluid augments self-propulsion (increases the induced velocity) in some range of Reynolds number (based on the phase velocity) and hampers it (reduces the induced velocity) in some other range with higher values of Reynolds number.

Type
Research Article
Copyright
© 1979 Cambridge University Press

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References

Blake, J. R. 1971 J. Fluid Mech. 49, 209.
Blake, J. R. 1972 J. Fluid Mech. 55, 1.
Chang, C. F. 1977 Z. angew. Math. Phys. 28, 283.
Chang, C. F. & Schowalter, W. R. 1974 Nature 252, 686.
Chang, C. F. & Schowalter, W. R. 1975 Nature 253, 572.
Coleman, B. D. & Noll, W. 1960 Arch. Rat. Mech. Anal. 6, 355.
Dandapat, B. S. & Gupta, A. S. 1975 J. Fluid Mech. 72, 425.
Denn, M. M., Sun, Z. S. & Rushton, B. D. 1971 Trans. Soc. Rheol. 15, 415.
Gatski, T. B. & Lumley, J. L. 1978 J. Fluid Mech. 86, 623.
Lighthill, M. J. 1952 Comm. Pure Appl. Math. 5, 109.
Liron, N. 1978 J. Fluid Mech. 86, 705.
Liron, N. & Mochon, S. 1976 J. Fluid Mech. 75, 593.
Oldroyd, J. G. 1950 Proc. Roy. Soc. A 200, 523.
Porteous, K. C. & Denn, M. M. 1972 Trans. Soc. Rheol. 16, 295.
Reynolds, A. J. 1965 J. Fluid Mech. 23, 241.
Taylor, G. I. 1951 Proc. Roy. Soc. A 209, 447.
Tuck, E. O. 1968 J. Fluid Mech. 31, 305.
Walters, K. 1964 Second Order Effects in Elasticity, Plasticity and Fluid Dynamics, p. 507. Pergamon Press.