Thermal Counterflow in a Periodic Channel with Solid Boundaries
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- 作者：Andrew W. Baggaley (1)
Jason Laurie (2)
1. School of Mathematics and Statistics ; University of Glasgow ; Glasgow ; G12 8QW ; UK
2. Department of Physics of Complex Systems ; Weizmann Institute of Science ; 76100 ; Rehovot ; Israel - 关键词：Superfluidity ; Quantized vortices ; Thermal counterflow ; Transition to turbulence
- 刊名：Journal of Low Temperature Physics
- 出版年：2015
- 出版时间：January 2015
- 年：2015
- 卷：178
- 期：1-2
- 页码：35-52
- 全文大小：1,128 KB
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39. L. Skrbek. Private communication (2013) - 刊物类别：Physics and Astronomy
- 刊物主题：Physics
Condensed Matter
Characterization and Evaluation Materials
Magnetism and Magnetic Materials - 出版者：Springer Netherlands
- ISSN：1573-7357
文摘
We perform numerical simulations of finite temperature quantum turbulence produced through thermal counterflow in superfluid \(^{4}\) He, 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.