Reflection of a Point Disturbance From a Conducting Wall in Two-Dimensional Magnetohydrodynamics - Softcover

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9781333396862: Reflection of a Point Disturbance From a Conducting Wall in Two-Dimensional Magnetohydrodynamics

Synopsis

Analyze the effects of tied magnetic lines in ideal magnetohydrodynamics, the book presents a clear solution to the simple problem of the reflection of an initial point disturbance from a conducting wall in two-dimensional magnetohydrodynamics linearized about a constant state. It assumes the unperturbed magnetic field in the x direction, with field lines tied to the conducting wall. The author separates the solution into three parts: the ordinary wave generated by a point disturbance at the initial coordinate, a reflected wave, and an uncentered wave. The reflected wave is centered at the image point while the uncentered wave has non-self-similar wave fronts. This book describes line singularities, lacunae, and the nature of singularities at wave fronts. The author ultimately shows that tied lines have a fundamentally different structure than untied lines, providing a concrete comparison for stability analyses of various configurations.

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