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Stability of magnetogasdynamic shear flow

Stabilität magnetogasdynamischer Scherströmungen

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Summary

Some general results on the stability of a compressible parallel shear flow permeated by an aligned magnetic field are derived. It is shown that the complex wave speed of an unstable wave lies in a semi-circle in the upper half plane with the range of the shear flow as diameter. Further both compressibility and magnetic field are found to be stabilizing. It is also shown that in a flow near a wall, two acoustic waves carry energy away from the wall. A semi-circle theorem for a non-planar compressible shear flow is also deduced.

Zusammenfassung

Einige allgemeine Aussagen über die Stabilität einer kompressiblen, parallelen Scherströmung in einem Magnetfeld werden hergeleitet. Die komplexe Wellengeschwindigkeit der instabilen Welle liegt in einem Halbkreis in der oberen Halbebene, wobei der Radius durch die Breite der Scherströmung gegeben ist. Sowohl die Kompressibilität, wie das Magnetfeld üben einen stabilisierenden Einfluß aus. Was die Strömung in unmittelbarer Wandnähe angeht, so tragen zwei akustische Wellen Energie von der Wand fort. Abschließend wird ein Halbkreistheorem für nicht ebene kompressible Scherströmungen hergeleitet.

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Authors and Affiliations

  1. Mathematics Department, Indian Institute of Technology, Kharagpur, India

    B. S. Dandapat & A. S. Gupta

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  1. B. S. Dandapat
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  2. A. S. Gupta
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Dandapat, B.S., Gupta, A.S. Stability of magnetogasdynamic shear flow. Acta Mechanica 28, 77–83 (1977). https://doi.org/10.1007/BF01208790

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  • DOI: https://doi.org/10.1007/BF01208790

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