Kolmogorov-Hinze scales in turbulent superfluids

Tsuyoshi Kadokura; Hiroki Saito

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arXiv · 2101.01875

Kolmogorov-Hinze scales in turbulent superfluids

Tsuyoshi Kadokura·Hiroki Saito

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Abstract

When a two-component mixture of immiscible fluids is stirred, the fluids are split into smaller domains with more vigorous stirring. We numerically investigate the sizes of such domains in a fully-developed turbulent state of a two-component superfluid stirred with energy input rate $\epsilon$. For the strongly immiscible condition, the typical domain size is shown to be proportional to $\epsilon^{-2/5}$, as predicted by the Kolmogorov-Hinze theory in classical fluids. For the weakly immiscible condition, quantum effects become pronounced and the power changes from $-2 / 5$ to $-1 / 4$.

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Tsuyoshi Kadokura, Hiroki Saito. 2021-01-06. Kolmogorov-Hinze scales in turbulent superfluids. https://arxiv.org/abs/2101.01875

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