Session 6 - Corona I.
Oral session, Friday, June 27
Ballroom A, Chair: David Alexander

## [6.04] MHD Modeling of the Transition Region Using Realistic Transport Coefficients

M. L. Goodman (Computer Sciences Corporation, and NASA Goddard Space Flight Center)

Most of the transition region (TR) consists of a collision dominated plasma. The dissipation and transport of energy in such a plasma is accurately described by the well known classical transport coefficients which include the electrical and thermal conductivity, viscosity, and thermo- electric tensors. These tensors are anisotropic and are functions of local values of temperature, density, and magnetic field. They may be used in an MHD model to obtain a self consistent, physically realistic description of the TR. The physics of kinetic processes is included in the MHD model through the transport coefficients. As a first step in studying heating and cooling processes in the TR in a realistic, quantitative manner, a 1.5 dimensional, steady state MHD model with a specified temperature profile is considered. The momentum equation includes the inertial, pressure gradient, Lorentz, and gravitational forces. The Ohm's law includes the exact expressions for the electrical conductivity and thermo- electric tensors. The electrical conductivity relates the generalized electric field to the conduction current density while the thermo-electric tensor relates the temperature gradient to the thermo-electric current density. The total current density is the sum of the two. It is found that the thermo-electric current density can be as large as the conduction current density, indicating that thermo-electric effects are probably important in modeling the dynamics of energy dissipation, such as wave dissipation, in the TR. Although the temperature gradient is in the vertical direction, the thermo-electric current density is in the horizontal direction, indicating the importance of the effects of anisotropic transport. The transport coefficients are valid for all magnetic field strengths, and so may be used to study the physics of weakly as well as strongly magnetized regions of the TR. Numerical examples are presented.