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The stability of elastico-viscous flow between rotating cylinders. Part 1

Published online by Cambridge University Press:  28 March 2006

R. H. Thomas  and
K. Walters
R. H. Thomas
Affiliation:
Welsh College of Advanced Technology, Cardiff
K. Walters
Affiliation:
University College of Wales, Aberystwyth
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Abstract

Consideration is given to the flow of an idealized elastico-viscous liquid contained in the narrow channel between two concentric cylinders, the motion being due to the relative rotation of the cylinders. It is shown that the presence of elasticity in the liquid lowers the value of the critical Taylor number at which instability occurs. The secondary motion arising at the onset of instability has the usual cellular pattern, the cell length being decreased by the presence of elasticity in the liquid.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 18 , Issue 1 , January 1964 , pp. 33 - 43
Copyright
© 1964 Cambridge University Press

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References

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Thomas, R. H. & Walters, K. 1963a Proc. Roy. Soc. A, 274, 371.
Thomas, R. H. & Walters, K. 1963b J. Fluid Mech. 16, 228.
Walters, K. 1960 Quart. J. Mech. Appl. Math. 13, 444.
Walters, K. 1962 J. Mécanique, 1, 479.
Walters, K. 1963 To appear in Proc. I.U.T.A.M. Symp., Haifa, Israel.