Turbulent radial thermal counterflow in the framework of the HVBK model

  title={Turbulent radial thermal counterflow in the framework of the HVBK model},
  author={Yuri A. Sergeev and C F Barenghi},
  journal={Europhysics Letters},
We apply the coarse-grained Hall-Vinen-Bekarevich-Khalatnikov (HVBK) equations to model the statistically steady-state, turbulent, cylindrically symmetric radial counterflow generated by a moderately large heat flux from the surface of a cylinder immersed in superfluid 4He. We show that a time-independent solution exists only if a spatial non-uniformity of temperature and the dependence on temperature of the thermodynamic properties are accounted for. We demonstrate the formation of a thermal… 
Superfluid turbulence driven by cylindrically symmetric thermal counterflow
We show by direct numerical simulations that the turbulence generated by steadily heating a long cylinder immersed in helium~II is strongly inhomogeneous and consists of a dense turbulent layer of
Coupled dynamics of quantized vortices and normal fluid in superfluid He4 based on the lattice Boltzmann method
We investigate the coupled dynamics of quantized vortices and normal fluid in superfluid He at finite temperatures using a numerical approach based on the vortex filament model (VFM) and lattice
Transient heat transfer of superfluid $^4$He in nonhomogeneous geometries -- Part I: Second sound, rarefaction, and thermal layer
Transient heat transfer in superfluid He (He II) is a complex process that involves the interplay of the unique counterflow heattransfer mode, the emission of second-sound waves, and the creation of
Spherically symmetric formation of localized vortex tangle around a heat source in superfluid He4
We study the dynamical process of the vortex tangle development under a spherically symmetric thermal counterflow around a heat source submerged into a bulk superfluid $^{4}\mathrm{He}$. We reveal a
Boiling and cavitation caused by transient heat transfer in superfluid helium-4
Superfluid helium-4 (He II) has been widely utilized as a coolant in various scientific and engineering applications due to its superior heat transfer capability. An important parameter required in
Cooling with a subsonic flow of quantum fluid
Miniature heaters are immersed in flows of quantum fluid and the efficiency of heat transfer is monitored versus velocity, superfluid fraction and time. The fluid is 4 He helium with a superfluid fraction


An introduction to the theory of superfluidity
A classic from 1965, this book covers the main aspects of the theory of quantum liquids, including the elementary excitation spectrum, hydrodynamics, and kinetic phenomena. The book requires no
Helium Cryogenics (Springer, International Cryogenics Monograph Series, New York - Dordrecht - Heidelberg - London
  • 2012