A thermodynamical approach to dissipation range turbulence
Jacopo Bellazzini
TL;DR
This paper introduces a thermodynamical model to explain the non-Gaussian statistics of velocity gradients in the dissipation range of turbulence, using maximum entropy principles.
Contribution
It presents a novel thermodynamical analogy and applies maximum entropy to predict turbulence statistics in the dissipation range.
Findings
Successfully predicts non-Gaussian velocity gradient statistics
Provides a thermodynamical framework for turbulence analysis
Aligns with experimental observations
Abstract
A model to explain the statistics of the velocity gradients in the dissipation range of a turbulent flow is presented. The experimentally observed non-gaussian statistics is theoretically predicted by means of a thermodynamical analogy using the maximum entropy principle of ordinary statistical mechanics.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Statistical Mechanics and Entropy · Fluid Dynamics and Turbulent Flows