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On uniqueness of flows of a dipolar fluid

Published online by Cambridge University Press:  20 January 2009

R. N. Hills
R. N. Hills
Affiliation:
The University, Newcastle-upon-Tyne
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In 1964 Green and Rivlin (1) introduced a theory of simple force and stress multipoles founded on conventional kinematics. Using a work formula, the force and stress multipoles were defined with the help of the velocity field and its spatial derivatives. More recently, within the framework of this general study, Bleustein and Green (2) examined the theory of the simplest multipolar fluid, the dipolar fluid, and formulated constitutive equations for a homogeneous incompressible linear dipolar fluid.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 17 , Issue 3 , June 1971 , pp. 263 - 269
Copyright
Copyright © Edinburgh Mathematical Society 1971

References

REFERENCES

(1)Green, A. E. and Rivlin, R. S., Simple force and stress multipoles, Arch. Rational Mech. Anal. 16 (1964), 325.CrossRefGoogle Scholar
(2)Bleustein, J. L. and Green, A. E., Dipolar fluids, Internat. J. Engrg. Sci. 5 (1967), 323.CrossRefGoogle Scholar
(3)Serrin, J., Handbuch der Physik, Vol. VIII/1 (Edited by Flügge, S. and Truesdell, C., Springer-Verlag, 1959).Google Scholar
(4)Green, A. E. and Naghdi, P. M., A note on dipolar inertia. To appear.Google Scholar
(5)Hills, R. N., The slow flow of a dipolar fluid past a sphere, Internat. J. Engrg. Sci. 5 (1967), 957.CrossRefGoogle Scholar