Abstract
A numerical calculation is made which describes the conversion into a T-layer of a finite perturbation in electrical conductivity imposed on a one-dimensional supersonic flow of a compressible medium for a finite value of the magnetic Reynolds number. The development of the injected perturbation is significantly affected by the magnetic Reynolds number of the unperturbed flow, and to each value of this number there corresponds a particular boundary region in which the perturbation is “taken up” by the magnetic field into an induced T-layer. The stability is investigated in the linear approximation for a minimal perturbation, and the dispersion equation is solved with allowance for gradients in the unperturbed parameters. It is shown that an overheating instability can arise in the system and lead to the formation of a T-layer.
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Translated from Zhurnal Prikladnoi Mekhaniki i Teknicheskoi Fiziki, No. 3, pp. 3–9, May–June, 1973.
The authors thank L. M. Degtyarev, L. A. Zaklyaz'minskii, and A. P. Favorskii for useful discussions and advice during the completion of this work.
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Krylova, L.M., Sinkevich, O.A. Stability of a perturbed conducting gas flow in a magnetic field for arbitrary magnetic Reynolds numbers. J Appl Mech Tech Phys 14, 297–301 (1973). https://doi.org/10.1007/BF00850938
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DOI: https://doi.org/10.1007/BF00850938