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The Quarterly Journal of Mechanics and Applied Mathematics 1982 35(2):219-231; doi:10.1093/qjmam/35.2.219
© 1982 by Oxford University Press
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A DERIVATION OF THE NON-DISSIPATIVE EQUATIONS OF MOTION FOR LIQUID HELIUM II USING GENERALISED CONTINUUM MECHANICS

R. J. ATKIN and N. FOX

( Department of Applied and Computational Mathematics, University of Sheffield )

The derivation of the equations of motion for liquid helium II usually involves the notional separation of the liquid into two ingredients, normal fluid and superfluid. The total mass density of the liquid is taken to be the sum of the mass densities of these two ingredients. Using the techniques of generalised continuum mechanics, we show how a general theory for the liquid may be derived in a more direct manner without making such an assumption. We show how a special case of our theory reduces to the usual two-fluid theory and exhibit the links with other singleingredient approaches.


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