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Instability in Couette flow of solutions of macromolecules

Published online by Cambridge University Press:  28 March 2006

E. W. Merrill ,
H. S. Mickley  and
A. Ram
E. W. Merrill
Affiliation:
Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Mass.
H. S. Mickley
Affiliation:
Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Mass.
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Abstract

In Couette flow between coaxial cylinders, ring-shaped vortices, illustrated schematically in figure 1, develop at a Reynolds number which depends strongly on the geometry of the system, as treated analytically for Newtonian fluids by Chandrasekhar (1958). The problem was first considered by Taylor (1923) who, examining simple (micromolecular) liquids, arrived at an equation for the critical Reynolds number Rei above which instability (vortex formation) would occur when the inner cylinder rotated and the outer is stationary, and when the gap is small compared to the radius.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 13 , Issue 1 , May 1962 , pp. 86 - 90
Copyright
© 1962 Cambridge University Press

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References

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