MAGNETOHYDRODYNAMIC FLOW PROBLEMS AT LOW CONDUCTIVITY
AVCO EVERETT RESEARCH LAB INC EVERETT MA
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Exact solutions are presented to a number of small perturbation magnetohydrodynamic flow problems. The conditions under which the solutions are obtained are as follows 1. The flow is two-dimensional, and is only slightly perturbed from a uniform flow. 2. The magnetic field vector is also two-dimensional and lies in the plane of the flow. 3. The distortion of the applied field by the induced currents is neglected. 4. Physical boundaries on the flow are one or two infinite plates parallel to the flow direction. 5. The conductivity of the fluid is a scalar quantity, but may vary with position. With these assumptions, the perturbations to the flow are calculated for various magnetic fields chiefly those due to a current flowing in a single wire, and a linear dipole for incompressible, subsonic and supersonic free stream speeds. Calculations of the pressure on the walls and other quantities are presented for illustrative examples, including cases in which the conductivity is not uniform throughout the flow.
- Plasma Physics and Magnetohydrodynamics