Lagrangian irreversibility and energy exchanges in rotating-stratified turbulent flows
arxiv(2024)
Abstract
Turbulence in stratified and rotating turbulent flows is characterized by an
interplay between waves and eddies, resulting in continuous exchanges between
potential and kinetic energy. Here, we study how these processes affect the
turbulent energy cascade from large to small scales, which manifests itself by
an irreversible evolution of the relative kinetic energy between two tracer
particles. We find that when r_0, the separation between particles, is below
a characteristic length ℓ_t, potential energy is on average transferred to
kinetic energy, reducing time irreversibility, and conversely when r_0 >
ℓ_t. Our study reveals that the scale ℓ_t coincides with the buoyancy
length scale L_B over a broad range of configurations until a transitional
wave-dominated regime is reached.
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