MAGNETOHYDRODYNAMIC SHOCK PROPOGATION IN NONUNIFORM DUCTS
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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Perturbation is produced when an initially plane magnetohydrodynamic shock wave encounters an area variation, the problem being linearized on the basis of small area variations. To ensure that all change in the behavior of the shock are caused by the non-uniform area, it is assumed that the area variations are confined to the region x 0 while to the left of the section x equals 0 say, the tube is of constant area, and the initially plane shock propagates through this portion with constant speed. The fluid in front of the shock is assumed at rest. When the shock meets the area variation, it is perturbed, the shock strength altered, and the subsequent flow is non- isentropic. There are two distinct contributions to the disturbance, namely, a permanent perturbation caused directly by the area change and a transient disturbance, due to reflection from the shock of the permanent perturbation, which propagates with velocity.
- Plasma Physics and Magnetohydrodynamics