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- W2048776435 abstract "Die vorliegende Arbeit untersucht den Einflus kleiner Storungen auf die Stabilitat einer ebenen Wirbelflache in einer reibungsfreien, inkompressiblen Flussigkeit von endlicher Leitfahigkeit in Gegenwart eines gleichformigen Magnetfeldes. Es stellt sich heraus, das es ausreicht, den Fall zweidimensionaler Storungen, die sich in Richtung des Magnetfeldes ausbreiten, zu betrachten. Jede Instabilitat, die bei allgemeineren Storungen auftreten kann, tritt auch bei zweidimensionalen Storungen bei einem geringeren Wert der Leitfahigkeit auf. Die Dispersionsbeziehung wird in den beiden Grenzfallen groser bzw. kleiner Leitfahigkeit diskutiert, und es werden die Ergebnisse fur grose, aber endliche bzw. kleine, aber nicht verschwindende Leitfahigkeit mit denen fur unendliche bzw. verschwindende Leitfahigkeit (d. h. fur den klassischen Kelvin-Helmholtz-Fall) verglichen.The stability of a plane vortex sheet in an inviscid, incompressible and finitely conducting fluid in the presence of a uniform magnetic field, parallel to the fluid velocity directions is studied against small disturbances. It is found that it is sufficient to consider the stability against two -dimensional disturbances propagating along the magnetic field. Any instability which may be present for more general disturbances is also present for two-dimensional disturbances at a lower value of the conductivity. The dispersion relation is discussed in the limiting cases of large and small conductivities. The effect of a large but finite conductivity and that of a small but nonzero conductivity on the infinite conductivity and zero conductivity (classical Kelvin-Helmholtz case) results, respectively, are discussed." @default.
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- W2048776435 date "1971-01-01" @default.
- W2048776435 modified "2023-09-27" @default.
- W2048776435 title "Hydromagnetic Stability of a Plane Vortex Sheet in Finitely Conducting Fluids" @default.
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- W2048776435 doi "https://doi.org/10.1002/zamm.19710510505" @default.
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