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The Motion of a Flat Plate from Rest in a Visco-elastic Liquid

Published online by Cambridge University Press:  20 January 2009

F. M. Leslie
F. M. Leslie
Affiliation:
Department of Mathematics, King'S College, Newcastle-upon-Tyne 1
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Oldroyd (1) considered non-Newtonian liquids for which the stress tensor sik and the rate of strain tensor eik=½(υk,i+υi,k)are related as follows

Here υi denotes the velocity vector, p an isotropic pressure, gik the metric tensor, and t time; η0 is a constant having the dimensions of viscosity and λ1, λ2, μ0, ν1, ν2, are constants having the dimension of time. Covariant suffixes are written below, contravariant above and the usual summation convention is employed. A suffix i following a comma indicates covariant differentiation with respect to the space variable xi.

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 13 , Issue 3 , June 1963 , pp. 223 - 233
Copyright
Copyright © Edinburgh Mathematical Society 1963

References

REFERENCES

Oldroyd, J. G., P.R.S.A., 245 (1958), 278.Google Scholar
Oldroyd, J. G., P.R.S.A., 200 (1950), 523.Google Scholar
Leslie, F. M., Q.J.M.A.M., 14 (1961), 36.Google Scholar
Oldroyd, J. G., Q.J.M.A.M., 4 (1951), 271.Google Scholar
Toms, B. A. and Strawbridge, D. J., Trans. Farad. Soc., 49 (1953), 1225.CrossRefGoogle Scholar