Abstract

Turbulence in gases and liquids manifests in the form of spontaneously developing chaotic dynamics in a laminar flow without any measurable external disturbances. For gas flows, we propose that turbulence is created by the average effect of an intermolecular potential, leading to a system of equations with novel coupling between density and momentum. Numerical simulations show that turbulent dynamics in this system emerges spontaneously in the absence of external disturbances, in agreement with observations. In addition, the time-averaged kinetic energy spectra of our numerical solutions decay at the Kolmogorov rate, which is also an intriguing feature of observed turbulent flows.

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