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Oscillatory motion of an elastico-viscous liquid contained between two concentric spheres

Published online by Cambridge University Press:  26 February 2010

J. R. Jones  and
T. S. Walters
J. R. Jones
Affiliation:
Department of Applied Mathematics, University of Wales, Swansea.
T. S. Walters
Affiliation:
Department of Applied Mathematics, University of Wales, Swansea.
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Extract

A number of oscillating systems have been described in the literature which have proved useful in the study of elastico-viscous liquids. The most common type of system in use is the forced oscillating system of the coaxial-cylinder type; in this, the outer cylinder wall is made to oscillate about its axis with a prescribed frequency, and the resulting motion of the inner solid cylinder (constrained by a torsion wire) is recorded (see, for example, [1]). Another type of oscillating system— a, free oscillating system, also of the coaxial-cylinder type—was considered by the present authors in a previous paper [2]; this latter system is one which may prove to be simpler to design and to control in practice.

Type
Research Article
Information
Mathematika , Volume 13 , Issue 1 , June 1966 , pp. 83 - 89
Copyright
Copyright © University College London 1966

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References

1. Oldroyd, J. G., Strawbridge, D. J. and Toms, B. A., Proc. Phys. Soc., 64B (1951), 44.CrossRefGoogle Scholar
2. Jones, J. R. and Walters, T. S., Mathematika, 12 (1965), 246.CrossRefGoogle Scholar
3. Kestin, J. and Person, L. N., Brown University Report AF891/1, OSR Contract AF 18 (600)-891 (1954).Google Scholar
4. Roscoe, R., Proc. Phys. Soc., 72 (1958), 576.CrossRefGoogle Scholar
5. Walters, K., Quart. J. Mech. App. Math. 13 (1960), 325.Google Scholar
6. Oldroyd, J. G., Quart. J. Mech. App. Math. 4 (1951), 271.Google Scholar
7. Watson, G. N., A Treatise on the Theory of Bessel Functions (Cambridge, 1944).Google Scholar