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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Additional Information
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)
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)
- Robert V. Hess, A solution of the Navier-Stokes equations for source and sink flows of a viscous heat-conducting compressible fluid, Tech. Notes Nat. Adv. Comm. Aeronaut. 1952 (1952), no. 2630, 60 pp. (3 plates). MR 0047450
- Akira Sakurai, On the theory of cylindrical shock wave, J. Phys. Soc. Japan 4 (1949), 199–202. MR 38798, DOI https://doi.org/10.1143/JPSJ.4.199
- H. C. Levey, Two dimensional source flow of a viscous fluid, Quart. Appl. Math. 12 (1954), 25–48. MR 63859, DOI https://doi.org/10.1090/S0033-569X-1954-63859-0
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)
- E. Kamke, Differentialgleichungen reeller Funktionen, Chelsea Publishing Company, New York, N.Y., 1947 (German). MR 0020179
- J. J. Stoker, Nonlinear Vibrations in Mechanical and Electrical Systems, Interscience Publishers, Inc., New York, N.Y., 1950. MR 0034932
Tables of Bessel functions of fractional order, Vol. I, II, National Bureau of Standards, Columbia University Press, 1949
- R. von Mises, On the thickness of a steady shock wave, J. Aeronaut. Sci. 17 (1950), 551–554. MR 37691
S. Chapman and T. G. Cowling, The mathematical theory of non-uniform, gases, Cambridge University Press, 1939
R. C. Tolman and P. C. Fine, On the irreversible production of entropy, Rev. Modern Phys. 20, No. 1, 51-77 (1948)
- Charles F. Curtiss and Joseph O. Hirschfelder, The thermodynamics of flow systems, J. Chem. Phys. 18 (1950), 171–173. MR 33668, DOI https://doi.org/10.1063/1.1747581
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)
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)
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)
A. Sakurai, On the theory of cylindrical shock wave, J. Phys. Soc., Japan (4-6) 4, 199-202 (1949)
H. C. Levey, Two dimensional source flow of a viscous fluid, Quart. Appl. Math. 7, No. 1, 25-48 (1954)
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)
E. Kemke, Differentialgleichungen reeller Funktionen, Chelsea Publishing Co., New York, 1947
J. J. Stoker, Nonlinear vibrations, Interscience Publishers, New York, 1950
Tables of Bessel functions of fractional order, Vol. I, II, National Bureau of Standards, Columbia University Press, 1949
R. von Mises, On the thickness of a steady shock wave, J. Aeronaut. Sci. 17, No. 9, 551-554 (1950)
S. Chapman and T. G. Cowling, The mathematical theory of non-uniform, gases, Cambridge University Press, 1939
R. C. Tolman and P. C. Fine, On the irreversible production of entropy, Rev. Modern Phys. 20, No. 1, 51-77 (1948)
C. F. Curtiss and J. O. Hirschfelder, The thermodynamics of flow systems, J. Chem. Phys. 18, No. 2, 171-173 (1950)
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Article copyright:
© Copyright 1956
American Mathematical Society
