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A general solution of the equations of hydrodynamics

Published online by Cambridge University Press:  28 March 2006

L. M. Milne-Thomson
L. M. Milne-Thomson
Affiliation:
Brown University, Providence, Rhode Island
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Abstract

Consider a fluid of constant viscosity μ. If the fluid is incompressible, we suppose it to move in a conservative field in which the force per unit mass is - ∇Ω. If the fluid is compressible, we suppose the field of force to be absent. Both cases are included if we write V = ερΩ, where ε = 1 for an incompressible fluid, and ε = 0 for a compressible fluid. The equation of continuity

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 2 , Issue 1 , January 1957 , pp. 88
Copyright
© 1957 Cambridge University Press

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References

Milne-Thomson, L. M. 1942 Consistency equations for the stresses in isotropic elastic and plastic materials. J. London Math. Soc. 17, 115–128.Google Scholar
Milne-Thomson, L. M. 1955 Theoretical Hydrodynamics, 3rd Ed. London: Macmillan.