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Rheometrical flow systems Part 1. Flow between concentric spheres rotating about different axes

Published online by Cambridge University Press:  29 March 2006

K. Walters
K. Walters
Affiliation:
Department of Applied Mathematics, University College of Wales, Aberystwyth
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Abstract

The flow of an elastico-viscous liquid contained between two concentric spheres which are rotating with the same angular velocity about axes passing through the centre of the spheres is considered. The angle between these axes is small. The solution is obtained by expanding the velocity components in terms of a small parameter α2, which is usually associated with problems involving oscillatory flows. The analysis is shown to have a direct application to the Balance Rheometer. In particular, it is shown that inertial effects in this rheometer are likely to be very small.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 40 , Issue 1 , 14 January 1970 , pp. 191 - 203
Copyright
© 1970 Cambridge University Press

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References

Coleman, B. D. & Noll, W. 1961 Rev. Mod. Phys. 33, 239.
Jones, T. E. R. & Walters, K. 1969. Br. J. Appl. Phys. (2) 2, 815.
Kepes, A. 1970 Proc. 5th Int. Cong. Rheology, Kyoto, Japan. (To be published.)
Oldroyd, J. G. 1950 Proc. Roy. Soc. Lond. A 200, 523.
Pipkin, A. C. 1964 Rev. Mod. Phys. 36, 1034.
Walters, K. 1968 Basic Concepts and Formulae for the Rheogoniometer. Sangamo Controls Ltd.
Walters, K. & Waters, N. D. 1963 Br. J. Appl. Phys. 14, 667.