Field theoretic calculation of scalar turbulence

Abstract

The cascade rate of passive scalar and Bachelor's constant in scalar turbulence are calculated using the flux formula. This calculation is done to first order in perturbation series. Batchelor's constant in three dimension is found to be approximately 1.25. In higher dimension, the constant increases as $d^{1/3}$.

RevTex4, publ. in Int. J. Mod. Phy. B, v.15, p.3419, 2001

References in corpus (2)

• Energy transfer in two-dimensional magnetohydrodynamic turbulence: formalism and numerical results
• Calculation of renormalized viscosity and resistivity in magnetohydrodynamic turbulence

Cited by in corpus (5)

• Statistical Theory of Magnetohydrodynamic Turbulence: Recent Results
• Large eddy simulations of turbulent thermal convection using renormalized viscosity and thermal diffusivity
• Variable energy flux in turbulence
• Contrasting turbulence in stably stratified flows and thermal convection
• Introduction to Statstical Theory of Fluid Turbulence