Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



Two dimensional sink flow of a viscous, heat-conducting, compressible fluid; cylindrical shock waves

Author: T. Yao-Tsu Wu
Journal: Quart. Appl. Math. 13 (1956), 393-418
MSC: Primary 76.0X
DOI: https://doi.org/10.1090/qam/74225
MathSciNet review: 74225
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  • [1] Y. T. Wu, Two dimensional sink flow of a viscous, heat-conducting compressible fluid; cylindrical shock waves, Hydrodynamics Laboratory Report No. 21-16, California Institute of Technology, California (1954)
  • [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 (1942)
  • [3] R. V. Hess, A solution of the Navier-Stokes equation for source and sink flows of a viscous, heat-conducting compressible fluid, NACA TN 2630 (1952) MR 0047450
  • [4] A. Sakurai, On the theory of cylindrical shock wave, J. Phys. Soc., Japan (4-6) 4, 199-202 (1949) MR 0038798
  • [5] H. C. Levey, Two dimensional source flow of a viscous fluid, Quart. Appl. Math. 7, No. 1, 25-48 (1954) MR 0063859
  • [6] J. G. Kirkwood, F. P. Buff, and M. S. Green, The statistical mechanical theory of transport processes. III. The coefficients of shear and bulk viscosity of liquids, J. Chem. Phys. 17, 988 (1949)
  • [7] E. Kemke, Differentialgleichungen reeller Funktionen, Chelsea Publishing Co., New York, 1947 MR 0020179
  • [8] J. J. Stoker, Nonlinear vibrations, Interscience Publishers, New York, 1950 MR 0034932
  • [9] Tables of Bessel functions of fractional order, Vol. I, II, National Bureau of Standards, Columbia University Press, 1949
  • [10] R. von Mises, On the thickness of a steady shock wave, J. Aeronaut. Sci. 17, No. 9, 551-554 (1950) MR 0037691
  • [11] S. Chapman and T. G. Cowling, The mathematical theory of non-uniform, gases, Cambridge University Press, 1939
  • [12] R. C. Tolman and P. C. Fine, On the irreversible production of entropy, Rev. Modern Phys. 20, No. 1, 51-77 (1948)
  • [13] C. F. Curtiss and J. O. Hirschfelder, The thermodynamics of flow systems, J. Chem. Phys. 18, No. 2, 171-173 (1950) MR 0033668

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DOI: https://doi.org/10.1090/qam/74225
Article copyright: © Copyright 1956 American Mathematical Society

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