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A flow reversal due to edge effects

Published online by Cambridge University Press:  29 March 2006

D. F. Griffiths
Affiliation:
Department of Applied Mathematics, University College of Wales, Aberystwyth
D. T. Jones
Affiliation:
Department of Applied Mathematics, University College of Wales, Aberystwyth
K. Walters
Affiliation:
Department of Applied Mathematics, University College of Wales, Aberystwyth

Abstract

An experiment is described which indicates a flow reversal due to fluid elasticity in the case of a rotating-plate experiment. An attempt to predict this reversal analytically on the ‘infinite’ plate assumption fails and recourse is made to a numerical procedure to solve the ‘finite’ plate problem. It is shown that the reversal is due to edge effects.

Type
Research Article
Copyright
© 1969 Cambridge University Press

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References

Bhatnagar, R. K. 1963 Proc. Indian Acad. Sci. 58, 279.
Coleman, B. D. & Noll, W. 1961 Ann. N. Y. Acad. Sci. 89, 672.
Forsythe, G. E. & Wasaw, W. R. 1960 Finite Difference Methods for Partial Differential Equations. London: Wiley.
Giesekus, H. 1965 Proc. 4th Intern. Congr. on Rheology 1963 (Interscience) 1, 249.
Giesekus, H. 1967 Rheologica Acta, 6, 339.
Jeffery, G. B. 1915 Proc. Lond. Math. Soc. 14, 327.
Laasonen, P. 1958 J. Ass. Comput. Mach. 5, 32.
Oldroyd, J. G. 1950 Proc. Roy. Soc. A, 200, 523.
Oldroyd, J. G. 1958 Proc. Roy. Soc. A, 245, 278.
Pearson, C. E. 1965 J. Fluid Mech. 21, 611.
Rivlin, R. S. & Ericksen, J. L. 1955 J. Rat. Mech. Anal. 4, 323.
Srivastava, A. S. 1961 Quart. J. Mech. Appl. Math. 14, 352.
Thomas, R. H. & Walters, K. 1964 Quart. J. Mech. Appl. Math. 17, 39.
Varga, R. S. 1962 Matrix Iterative Analysis. London: Prentice-Hall.
Walters, K. & Savins, J. G. 1965 Trans. Soc. Rheol. 9, 407.
Walters, K. & Waters, N. D. 1968 Polymer Systems—Deformation and Flow. London: Macmillan.