Abstract
We investigate a quite strong turbulence in a supercritical fluid near a gas-liquid critical point. Specifically, we consider a case in which the Kolmogorov scale is much smaller than the equilibrium correlation length $\xi$. Although equilibrium critical fluctuations are destroyed by turbulence, $\xi$ still provides a crossover length scale between two types of energy cascade. At scales much larger than $\xi$, the Richardson cascade becomes dominant, whereas at scales much smaller than $\xi$, another type of cascade, which we call the van der Waals cascade, is induced by density fluctuations. Experimental conditions required to observe the van der Waals cascade are also discussed.
Highlights
Nonlinearity, which appears ubiquitously in a broad range of phenomena, causes inevitable interference between widely separated time and space scales
In this Letter we show that supercritical turbulence near a critical point exhibits the Richardson cascade and another
We have shown that supercritical turbulence near a critical point can exhibit the van der Waals cascade
Summary
Nonlinearity, which appears ubiquitously in a broad range of phenomena, causes inevitable interference between widely separated time and space scales. The kinetic energy is transferred conservatively and continuously from large to small scales in the so-called inertial range [1]. We here consider the strong turbulent regime of a supercritical fluid near a critical point in which ξ is much larger than the Kolmogorov scale.
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