Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Two dimensional source flow of a viscous fluid

Author: H. C. Levey
Journal: Quart. Appl. Math. 12 (1954), 25-48
MSC: Primary 76.1X
DOI: https://doi.org/10.1090/qam/63859
MathSciNet review: 63859
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Abstract: The steady two-dimensional source-type flow of a viscous heat-conducting perfect gas is investigated. The solutions of physical significance all contain shocks, and bounds are given for the shock-thickness in terms of the shock-strength and the Reynolds number of the flow. It is found that the entropy rises to a maximum within the shock, and this maximum does not disappear even when the viscosity tends to zero.

References [Enhancements On Off] (What's this?)

  • [1] Akira Sakurai, On the theory of cylindrical shock wave, J. Phys. Soc. Japan 4 (1949), 199–202. MR 0038798, https://doi.org/10.1143/JPSJ.4.199
  • [2] F. Ringleb. Exact solutions of the differential equations of an adiabatic gas flow, Ministry of aircraft production, Great Britain, R.T.P. Translation 1609, circa 1942.
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DOI: https://doi.org/10.1090/qam/63859
Article copyright: © Copyright 1954 American Mathematical Society

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