ARNOLD ENGINEERING DEVELOPMENT CENTER ARNOLD AFB TN
An analysis is presented of MHD channel flow with Hall effect and variable fluid properties. Because of the highly nonlinear nature of the governing conservation equations, a straight numerical analysis of the equations is followed based on the implicit finite difference method. The analysis considers the two-dimensional flow in the electric field plane in which the channel walls are electrode surfaces. Because of the presence of the Hall effect, a transverse pressure gradient is induced in the flow which necessitates the use of two equations of motion in the longitudinal and transverse directions. The analysis model employed is the so-called slender channel model in which the boundary layer forms of the equations of motion are applied across the entire channel width. Because the boundary layer equations are parabolic, it is possible to integrate the equations in a forward marching manner by starting with initially prescribed velocity and enthalpy profiles at the channel entrance.
Prepared in cooperation with ARO, Inc., Arnold Air Force Station, Tullahoma, Tenn., and Tennessee Univ., Tullahoma. Space Inst.