STATISTICAL INVESTIGATION OF MAGNETO- HYDRODYNAMIC TURBULENCE DESCRIBED BY SPACE-TIME FUNCTIONAL FORMALISM- II

Joshi N. E. and Meshram M. C. derived the equations describing the dynamics of the kinetic energy spectrum density function and the magnetic energy spectrum density function on using the Lewis–Kraichnan space–time version of the Hopf functional formalism and the multiple-scale-cumulant expansion method for their investigation of Magnetohydrodynamic turbulence . Meshram M.C. and Sahu K. have written these equations in dimensionless form with respect to a representative wavenumber k0 and a representative value of the energy spectrum E0 and then integrated these equations numerically. The statistical quantities which were not included there (namely skewness, enstropy and Taylor’s micro-scale of both the velocity field and the magnetic field for the representative value of Reynolds number R=20 and R=1600) are evaluated in the present work. We also discover the laws governing these statistical quantities. Further, we discuss the merits and scope of the present closure scheme for studying similar types of turbulent flows.