MAGNETOHYDRODYNAMIC FLOW IN THE INLET REGION OF A STRAIGHT CHANNEL.
WEIZMANN INST OF SCIENCE REHOVOTH (ISRAEL) DEPT OF APPLIED MATHEMATICS
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A brief review is given of work on the development of methods for solving the equations of motion of magnetohydrodynamics, taking account of viscous effects. The case of an electrically conductive fluid in an external transverse magnetic field is investigated. When the external field is zero, the equations reduce to those of Navier-Stokes. Several checks to the accuracy of the solutions are considered. For the above problem, the complete equations are solved numerically without any approximating assumptions, and the velocity profiles, magnetic lines of force, and pressure distribution are calculated. Comparison of the results to other studies are made in the limiting case of large Reynolds number. The steady state flow is considered with or without the magnetic field. Special attention is given to the rate of approach of the flow to the Hartmann-Poiseuille patterns downstream. In general the approach to the limiting pattern is exponential. The exponents are found to fall into two classes, one depending chiefly on the Reynolds number and Hartmann number, and the other on the magnetic Reynolds number and Hartmann number. Author
- Plasma Physics and Magnetohydrodynamics