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A note on Milne-Thomson's general solution of Navier–Stokes equations

Published online by Cambridge University Press:  24 October 2008

G. D. Nigam
G. D. Nigam
Affiliation:
Department of Physics, Indian Institute of Technology, Madras, India
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Extract

The Navier–Stokes equations governing the motion of viscous compressible fluids are

where ρ is the density, q is the velocity vector, V is the scalar potential of the external force field, I is the idemfactor and Φ is the stress-tensor

Milne-Thomson ((l)) has given a general solution of (1) and (2) in the form

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 4 , October 1965 , pp. 915 - 916
Copyright
Copyright © Cambridge Philosophical Society 1965

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References

REFERENCE

(1) Milne-Thomson, L. M. A general solution of the equations of hydrodynamics. J. Fluid Mech. 2 (1957), 88.CrossRefGoogle Scholar