
Accession Number : AD0288927
Title : A SIMPLIFIED THEORY OF MAGNETOHYDRODYNAMIC ISOTROPIC TURBULENCE
Corporate Author : SPACE SYSTEMS DIV LOS ANGELES AIR FORCE STATION CALIF
Personal Author(s) : BETCHOV,R.
Report Date : 11 OCT 1962
Pagination or Media Count : 1
Abstract : The simplest case of turbulent motion in a conductive fluid is studied. The turbulence is assumed incompressible, isotropic, homogeneous, charge invariant and free of fourthorder cumulants. The emphasis is placed on certain integrals of the correlation functions such as kinetic and magnetic energy, vorticity, and current. A system of nonlinear ordinary differential equations is derived which governs these integral quantities. Several cases are solved numerically, illustrating the decay of ordinary turbulence, the buildup of magnetic energy by a linear or a nonlinear process, the buildup of kinetic energy, as well as the destruction of vorticity by Lorentz forces. In order to handle certain dissipative effects, a special hypothesis is introduced which seems to promote mathematical simplicity. In particular, it leads to a simple decay law very similar to the decay law of ordinary turbulence. (Author)
Descriptors : *MAGNETOHYDRODYNAMICS, *TURBULENCE, CONVECTION, DEGRADATION, DIFFERENTIAL EQUATIONS, ENERGY, KINETIC THEORY, MAGNETIC PROPERTIES, MOTION, VORTICES
Distribution Statement : APPROVED FOR PUBLIC RELEASE