Abstract
We give a Von Karman-type model for the inertial transfer to develop a generalized spectral law for the inverse energy cascade in a forced two-dimensional turbulence that is in agreement with the experimental observations (Sommeria, 1986) of the inverse energy cascade in a statistically steady two-dimensional turbulence. We also demonstrate that the transfer of turbulent kinetic energy at small wave numbers can be modeled as a stationary continuous spectral cascading process. The equipartition spectrum for two-dimensional turbulence is demonstrated to be viscous in character and to differ radically from the equipartition spectrum for three-dimensional turbulence which is inviscid in character.
Published Version
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