A Statistical Mechanical Model for Two Dimensional Turbulence
Abstract
A statistical mechanical model for two dimensional homogeneous isotropic turbulence is proposed. This model is based on a hypothesis that the extremely high Reynolds number two dimensional turbulence is, at each instant, in a state of equal probability on the intersections of energy and palinstrophy planes in the phase space. An energy spectrum is obtained which shows the k^{3} dependence for large wave numbers and represents the energy equipartition state for small wave numbers.
 Publication:

Journal of the Physical Society of Japan
 Pub Date:
 November 1982
 DOI:
 10.1143/JPSJ.51.3415
 Bibcode:
 1982JPSJ...51.3415F
 Keywords:

 High Reynolds Number;
 Homogeneous Turbulence;
 Isotropic Turbulence;
 Statistical Mechanics;
 Turbulence Models;
 Turbulent Flow;
 Two Dimensional Flow;
 Energy Spectra;
 Equipartition Theorem;
 Heuristic Methods;
 Fluid Mechanics and Heat Transfer