THE INFLUENCE OF HALL EFFECT AND INITIAL VELOCITY PROFILE ON MHD FLOW IN THE ENTRANCE REGION OF A PARALLEL PLATE CHANNEL
TENNESSEE UNIV SPACE INST TULLAHOMA
Pagination or Media Count:
A new method is presented for the analysis of MHD flow in the entrance region of a parallel plate channel including the Hall effect. The method involves a linearization of the inertia terms and the introduction of a stretched axial coordinate. A solution is obtained for the velocity distribution in an incompressible fluid which is valid from the duct inlet to the fully developed region. In practice, flows in which the Hall effect is significant will be compressible. Since the primary objective of the present analysis is to develop the analytical technique for extending the linearization scheme to MHD flows with Hall effect, the constant density assumption is justifiable as a first approximation. From this solution numerical results are obtained for the entrance length, pressure distribution, boundary layer thickness, and wall shear stress distribution in the entrance region for various values of the Hartmann number and the Hall parameter.
- Plasma Physics and Magnetohydrodynamics