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Transformation of the perturbation equations for the analysis of magnetohydrodynamic couette flow stability

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Summary

The eigenvalue problem of the MHD stability analysis for nondissipative Couette flow between coaxially rotating cylinders in the presence of a uniform axial magnetic field, is transformed to one for the modified Mathieu equation with complex parameter and variable.

Zusammenfassung

Das Eigenwertproblem der MHD Stabilitätsanalyse für eine nichtdissipative Couette-Strömung zwischen koaxialen rotierenden Zylindern in Anwesenheit eines axialen Magnetfeldes wird in ein Eigenwertproblem für die modifizierte Mathieu-Gleichung mit komplexem Parameter und komplexer Variablen transformiert.

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References

  1. S.Chandrasekhar, Proc. Roy. Soc.A216, 293, (1953).

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  3. E.P.Velikhov, Sov. Phys. JETP,36, 995, (1959), Eq. (2.6).

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Authors and Affiliations

  1. Dept. of Electrical Engineering, Colorado State University, Fort Collins, Colorado, USA

    S. H. Hong

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  1. S. H. Hong
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Additional information

Supported in part by the U.S. Office of Naval Research.

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Hong, S.H. Transformation of the perturbation equations for the analysis of magnetohydrodynamic couette flow stability. Journal of Applied Mathematics and Physics (ZAMP) 27, 483–485 (1976). https://doi.org/10.1007/BF01594904

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  • DOI: https://doi.org/10.1007/BF01594904

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