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This paper is part of our series of studies on the dynamics of inhomogeneous vortex tangles. We consider here the motion of turbulent fronts. There are a number of experiments in which the authors observed the development of superfluid turbulence in quantum fluids in the form of propagating fronts. There are also experiments in which the authors observed the appearance of the moving structures (“plugs”), regions with the high vortex line density in the counterflowing superfluid helium. These phenomena have both scientific and applied interest. For example, the possibility of spontaneous formation of “plugs” can radically affect heat transfer in channels with superfluid helium, which is used as a refrigerant for cooling superconducting devices. There are a number of hypotheses for how the fronts and “plugs” appear and what their dynamics are, in particular, how to evaluate the velocity of propagations. In the present work we elaborate the approach of the combustion-like propagation of the superfluid turbulent domain. A key assumption is that propagation of the front occurs in diffusion manner of diffusion with the source of the vortices behind the front, just like the combustion process. Additionally, there is a drift motion of the vortex tangles due to polarization of the vortex loops. Interplay of these effects determines the speed of the turbulent front propagation. We performed a comparison with the experimental data.
Journal of Low Temperature Physics – Springer Journals
Published: Oct 20, 2010
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