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In this paper we solve for the diffracted wave which results when a weak hydromagnetic shock impinges on a rigid perfectly conducting half plane.
We assume a medium which is a compressible perfect fluid (no heat conduction, no viscosity) and a perfect electrical conductor. In the undisturbed state the fluid is at rest and is permeated by a constant magnetic field B6. The fluid extends through all space around an obstacle, in the shape of a half plane, made of a rigid perfectly conducting material. Then, possibly due to a distant disturbance, a weak plane discontinuous wave or weak shock propagates through the fluid. We are interested in the diffracted wave caused by the interference of the half plane obstacle after the incident wave arrives. We assume that the amplitude of the disturbance of the fluid is small, so that it is appropriate to employ the linearized equations of motion.
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Diffraction of a Hydromagnetic Wave by a Half Plane (Classic Reprint)
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Paperback. Zustand: New. Print on Demand. This book delves into a specific case of diffraction, the scattering of a wave due to an obstacle, concerning hydromagnetic waves, a type of electromagnetic wave that combines magnetic and pressure forces. The author adapts the conical field method, previously used to solve problems in supersonic flow, to the equations governing hydromagnetic waves. Through the application of this method, this book presents a detailed derivation and examination of the reflected and diffracted waves resulting from an incident hydromagnetic wave impinging upon a half-plane obstacle. The book's in-depth mathematical treatment and analysis elucidate a unique feature of hydromagnetic waves: their ability to reflect on the 'wrong' side of an obstacle. This phenomenon, along with the exploration of the wave's development towards a steady state, contributes to the book's significance in the field of hydromagnetics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781332088416_0
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Diffraction of a Hydromagnetic Wave by a Half Plane Classic Reprint
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