Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-03T00:20:16.890Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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.