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Physics of superfluid helium-4 vortex tangles in normal-fluid strain fields
Physical Review Fluids ( IF 2.7 ) Pub Date : 2021-04-21 , DOI: 10.1103/physrevfluids.6.044702
Demosthenes Kivotides , Anthony Leonard

By employing dimensional analysis, we scale the equations of the mesoscopic model of finite temperature superfluid hydrodynamics. Based on this scaling, we set up three problems that depict the effects of kinematic, normal-fluid strain fields on superfluid vortex loops, and characterize small-scale processes in fully developed turbulence. We also develop a formula for the computation of energy spectra corresponding to superfluid vortex tangles in unbounded domains. Employing this formula, we compute energy spectra of superfluid vortex patterns induced by uniaxial, equibiaxial, and simple-shear normal-fluid flows. By comparing the steady-state superfluid spectra and vortex structures, we conclude that normal-flow strain fields do not play an important role in explaining the phenomenology of fully developed superfluid turbulence. This is in sharp contrast with the role of vortical normal-flow fields in offering plausible, structural explanations of superfluid vortex patterns and spectra entailed in numerical turbulent solutions of the mesoscopic model.

中文翻译:

正常流体应变场中超流体氦4涡旋缠结的物理学

通过使用尺寸分析,我们缩放了有限温度超流体流体力学的介观模型的方程。基于此缩放比例,我们设置了三个问题,这些问题描述了运动学,正常流体应变场对超流体涡旋环的影响,并描述了在充分发展的湍流中的小规模过程。我们还开发了一个公式,用于计算与无界域中的超流体涡旋缠结相对应的能谱。利用该公式,我们计算了由单轴,等双轴和简单剪切法向流体流动引起的超流体涡旋模式的能谱。通过比较稳态超流体谱和涡旋结构,我们得出结论,正常流应变场在解释完全发展的超流体湍流的现象学中不发挥重要作用。
更新日期:2021-04-21
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