Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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On radial flow of a conducting gas in crossed fields


Author: Erling Dahlberg
Journal: Quart. Appl. Math. 20 (1963), 353-357
MSC: Primary 76.34
DOI: https://doi.org/10.1090/qam/143446
MathSciNet review: 143446
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Abstract: An earlier treatment of quasi-onedimensional flow of a conducting gas in crossed fields (Q.A.M., 19, 177 (1961)) is extended to radial flow with azimuthal magnetic field. The usual simplifying assumptions are made, including constant specific heats; and different flow situations are illustrated by means of phase diagrams (drawn for $ \gamma = 1.33$). One of the differences between radial flow ($ E$ = const.) and that in exponentially diverging channels ($ E/B$ = const.) is the possibility of a smooth transition from supersonic to subsonic motion that seems to exist for a certain range of strongly divergent radial channels.


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DOI: https://doi.org/10.1090/qam/143446
Article copyright: © Copyright 1963 American Mathematical Society


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