Thermal counterflow in a periodic channel with solid boundaries


We perform numerical simulations of finite temperature quantum turbulence produced through thermal counterflow in superfluid 4He, using the vortex filament model. We investigate the effects of solid boundaries along one of the Cartesian directions, assuming a laminar normal fluid with a Poiseuille velocity profile, whilst varying the temperature and the normal fluid velocity. We analyze the distribution of the quantized vortices, reconnection rates, and quantized vorticity production as a function of the wall-normal direction. We find that the quantized vortex lines tend to concentrate close to the solid boundaries with their position depending only on temperature and not on the counterflow velocity. We offer an explanation of this phenomenon by considering the balance of two competing effects, namely the rate of turbulent diffusion of an isotropic tangle near the boundaries and the rate of quantized vorticity production at the center. Moreover, this yields the observed scaling of the position of the peak vortex line density with the mutual friction parameter. Finally, we provide evidence that upon the transition from laminar to turbulent normal fluid flow, there is a dramatic increase in the homogeneity of the tangle, which could be used as an indirect measure of the transition to turbulence in the normal fluid component for experiments.

Publication DOI:
Divisions: College of Engineering & Physical Sciences
College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: The final publication is available at Springer via
Uncontrolled Keywords: superfluidity,quantized vortices,thermal counterflow,transition to turbulence
Publication ISSN: 1573-7357
Last Modified: 18 Jun 2024 07:14
Date Deposited: 25 Jul 2016 13:50
Full Text Link: http://link.spr ... 0909-014-1226-1
Related URLs:
PURE Output Type: Article
Published Date: 2015-01
Published Online Date: 2014-09-17
Authors: Baggaley, Andrew W.
Laurie, Jason (ORCID Profile 0000-0002-3621-6052)



Version: Accepted Version

Export / Share Citation


Additional statistics for this record