Decay of vorticity in homogeneous turbulence

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Abstract
We report on observations of turbulent behavior made without requiring the use of Taylor’s ‘‘frozen turbulence’’ hypothesis. Initially, a towed grid generates homogeneous turbulence of grid Reynolds number of order 105 within a stationary channel filled with helium II. The subsequent decay in time t of the line density of quantum vortices is measured by second sound attenuation, and the associated rms vorticity ω follows the behavior expected of a classical fluid with ω∼t−3/2, consistent with the notion of a coupled turbulent state of helium II. This technique also yields the time dependence of the Kolmogorov microscale.

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