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Rheometrical flow systems Part 2. Theory for the orthogonal rheometer, including an exact solution of the Navier-Stokes equations

Published online by Cambridge University Press:  29 March 2006

T. N. G. Abbott  and
K. Walters
T. N. G. Abbott
Affiliation:
Department of Applied Mathematics, University College of Wales, Aberystwyth
K. Walters
Affiliation:
Department of Applied Mathematics, University College of Wales, Aberystwyth
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Abstract

Consideration is given to the flow of viscous and elastico-viscous liquids contained between two infinite parallel plates which rotate with the same angular velocity Ω about axes normal to the plates but not coincident. In the viscous case, it is shown that a simple exact solution of the relevant equations can be obtained. In the elastico-viscous case, certain formulae are derived which should facilitate the interpretation of experimental results obtained from the Maxwell orthogonal rheometer.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 40 , Issue 1 , 14 January 1970 , pp. 205 - 213
Copyright
© 1970 Cambridge University Press

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References

Bird, R. B. & Harris, E. K. 1968 Am. Inst. Chem. Eng. J. 14, 758.
Blyler, L. L. & Kurtz, S. J. 1967 J. Appl. Polym. Sci. 11, 127.
Maxwell, B. & Chartoff, R. P. 1965 Trans. Soc. Rheol. 9, 41.
Oldroyd, J. G. 1950 Proc. Roy. Soc. Lond. A 200, 523.
Walters, K. 1970 J. Fluid Mech. 40, 191.