In Chapter 4 , a description of Heat transportnon-FourierQuantum turbulenceSuperfluid turbulenceTurbulencequantumsome salient features of quantized vortices in rotating Helium II has been presented. We have restricted our consideration to pure rotation situations, with ordered rectilinear vortices and vortex line density L independent of time. In the present chapter, we consider turbulent states, in which a heat flux higher than some critical value acts as a source of quantized vortices which distribute in the space in the form of a disordered tangle of lines [1–3]. Counterflow experiments (heat propagation without net mass propagation) are a typical way to produce superfluid turbulence for heat fluxes higher than a critical value [4–7]. In this chapter, we consider that the tangle is spatially homogeneous, in such a way that a single scalar function suffices to describe it, namely, the vortex line density L (namely, the total length of vortex lines per unit volume) and we will pay a special attention to the evolution of L in several physical circumstances. A deeper analysis including inhomogeneous situations will be presented in Chap.  6 .

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Turbulence in Superfluids: Macroscopic Description and Applications to Heat Transport

  • Maria Stella Mongiovì,
  • David Jou,
  • Michele Sciacca

摘要

In Chapter 4 , a description of Heat transportnon-FourierQuantum turbulenceSuperfluid turbulenceTurbulencequantumsome salient features of quantized vortices in rotating Helium II has been presented. We have restricted our consideration to pure rotation situations, with ordered rectilinear vortices and vortex line density L independent of time. In the present chapter, we consider turbulent states, in which a heat flux higher than some critical value acts as a source of quantized vortices which distribute in the space in the form of a disordered tangle of lines [1–3]. Counterflow experiments (heat propagation without net mass propagation) are a typical way to produce superfluid turbulence for heat fluxes higher than a critical value [4–7]. In this chapter, we consider that the tangle is spatially homogeneous, in such a way that a single scalar function suffices to describe it, namely, the vortex line density L (namely, the total length of vortex lines per unit volume) and we will pay a special attention to the evolution of L in several physical circumstances. A deeper analysis including inhomogeneous situations will be presented in Chap.  6 .