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On the flow of certain orientable fluids between two co-axial cones

Published online by Cambridge University Press:  28 March 2006

P. N. Kaloni
P. N. Kaloni
Affiliation:
Department of Applied Mathematics, Indian Institute of Technology, Kharagpur, India
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Abstract

The flow between two solid boundary surfaces of revolution and also between two rotating co-axial cones, of certain orientable fluids which are unoriented at rest, has been studied. It is found that for sufficiently low velocity gradients the fluids behave like a Newtonian fluid; while at larger but still very moderate velocity gradients the predicted behaviour is similar to that observed in elasticoviscous fluids. In the latter case it is shown that the flow of this class of fluids in horizontal circles is not possible for the boundary conditions defined above, even when the inertia terms are negligible, and that the normal stresses in the plane perpendicular to the streamlines are not equal.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 23 , Issue 3 , November 1965 , pp. 511 - 520
Copyright
© 1965 Cambridge University Press

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References

Adams, N. & Lodge, A. S. 1964 Phil. Trans. A. 256, 149.
Bhatnagar, P. L. & Rathna, S. L. 1963 Quart. J. Mech. & Appl. Math. 16, 329.
Ericksen, J. L. 1960a Arch. Rat. Mech. Anal. 4, 231.
Ericksen, J. L. 1960b Trans. Soc. Rheol. 4, 29.
Ericksen, J. L. 1960c Viscoelasticity (Ed. J. T. Bergen). New York: Academic Press.
Ericksen, J. L. 1962 Trans. Soc. Rheol. 6, 275.
Green, A. E. 1964 Proc. Camb. Phil. Soc. 60, 124.
Kaloni, P. N. 1965 On certain steady flows of anisotropic fluids: Intern. J. Eng. Sci. (in the Press).Google Scholar
Leslie, F. M. 1964 Proc. Camb. Phil. Soc. 60, 949.
Markovitz, H. & Brown, D.R. 1962 Proc.I.U.T.A.M. Conf. Haifa, Israel, p. 585.
Oldroyd, J. G. 1958 Proc. Roy. Soc. A, 245, 278.
Roberts, J. E. 1953 Proc. 2nd Inter. Conf. Rheol., Oxford, p. 99.