It is well known that fluid dynamics can be derived from a kinetic (Boltzmann equation) framework. Here we propose that the variance of a fluctuating kinetic relaxation time be linked to turbulent time scales. It is further proposed that this connection be explored by direct numerical simulation of turbulence.
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Orszag, S.A., Chen, H., Succi, S. et al. Turbulence Effects on Kinetic Equations. J Sci Comput 28, 459–466 (2006). https://doi.org/10.1007/s10915-006-9076-x
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DOI: https://doi.org/10.1007/s10915-006-9076-x