Micro and Macroturbulence in Superfluid Helium
The dynamics of superfluid helium are briefly reviewed. The application of this formalism to gain an understanding of the nature of microscopic (superfluid) turbulence is discussed. We point out that the problem of large-scale macroturbulence in the superfluid has remained largely untouched, and that it raises many interesting questions. In particular, it is not clear what basic equations one should use in discussing this problem, the usual Gorter-Mellink form being clearly inadequate. In fact, it is pointed out that the Gorter-Mellink approximation is of doubtful validity even in the situations where it has been traditionally applied. The main physical issues in formulating these kinds of problems are how the microturbulence interacts with the two velocity fields that describe the flow of superfluid helium to modify the macroscopic turbulence, and how this large scale turbulence acts back on and sustains the microturbulence.
KeywordsVortex Line Normal Fluid Superfluid Helium Vortex Filament Mutual Friction
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- 2.J.T. Tough, in Progress in Low Temperature Physics, edited by D. F. Brewer (North-Holland, Amsterdam, 1982), Vol VIII, p. 133.Google Scholar
- 3.L.D. Landau and E.M. Lifshitz, Fluid Mechanics, ( Pergamon, London, 1959 ) p. 507.Google Scholar
- 4.R.P. Feynman, in Progress in Low Temperature Physics, edited by C.J. Gorter (North-Holland, Amsterdam, 1955), Vol.I, p.15.Google Scholar