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The Structure of Plane Shock Waves

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Rarefied Gas Flows Theory and Experiment

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 224))

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Abstract

Shock waves are the most conspicuous, often encountered, phenomena of gas dynamics connected with the non-linear character of propagation of disturbances [1–6]. A shock wave occupies a relatively narrow region of the flow field and is characterized by rapid changes of the hydrodynamic and thermodynamic, HT, quantities describing the state of the gas.

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References

  1. HAYES, W.D., Gasdynamic Discontinuities, Princeton 1960.

    Google Scholar 

  2. KOGAN, M.N., Rarefied Gas Dynamics, Kinetic Theory. ed. Nauka 1967 (in Russian).

    Google Scholar 

  3. CERCIGNANI, C., Mathematical Methods in Kinetic Theory, Plenum Press 1969.

    Google Scholar 

  4. LIEPMANN, H.W., ROSHKO, A. Elements of Gasdynamics, J. Wiley 1957.

    Google Scholar 

  5. THOMPSON, P.A., Compressible Fluid Dynamics, McGraw 1972.

    Google Scholar 

  6. ZELDOVICH, Ya. B., RAIZER, Yu. P., Physics of Shock Waves, Nauka (in Russian) 1963, Academic Press 1967.

    Google Scholar 

  7. GILBARG, D., PAOLUCCI, D., J. Rat. Mech. Anal. 2, 1953, (617–642).

    Google Scholar 

  8. CHAPMAN, S., COWLING, T., The Mathematical Theory of Nonuniform Gases, Cambridge Univ. Press, 1939.

    Google Scholar 

  9. GRAD, H., Comm. Pure Appl. Math., 2, 1949 (331–407).

    Google Scholar 

  10. GRAD, H., Comm. Pure Appl. Math., 5, 1952 (257–300).

    Google Scholar 

  11. TRUESDELL, G., J.math.pures et appl. 30, 1951 (111–155).

    Google Scholar 

  12. TAYLOR, G.I., Collected Papers, Cambridge University Press, 1963.

    Google Scholar 

  13. MUNTZ, E.P., HARNETT, L.W., Phys. of Fluids, 12 (1969) 2027–2035.

    Article  Google Scholar 

  14. SMOLDEREN, J., Structure des chocs et théorie cinématique de gas, Choc et Ondes de Choc, ed. A.L. Jaumotte, Pub. Masson, Paris, 1971.

    Google Scholar 

  15. LIEPMANN, H.W., NARASIMHA, R., CHAHINE, M.T., Phys. Fluids, 5, 1313–1324 (1962).

    Article  MATH  Google Scholar 

  16. FOCH, J.D., Acta Phys. Austr. X. Supp. (123–140) 1973.

    Google Scholar 

  17. BHATNAGAR, P.L., GROSS, E.P., KROOK, M., Phys. Rev., 94, 511 (1964).

    Article  Google Scholar 

  18. HOLWAY, L.H., Phys. Fluids, 9, 1658–1673 (1966).

    Article  Google Scholar 

  19. KOGAN, M.N., Prikl. Mat. Mech. 22, 425 (1958).

    Google Scholar 

  20. CHAHINE M.T., and NARASIMHA, R., IV RGD Transactions 140–159, Chahine III RGD Trans. 260–273.

    Google Scholar 

  21. MUNTZ, E.P., HARNETT, L.W., Phys. FC, 12, 2027–2035 (1969).

    Google Scholar 

  22. ABRAMOWITZ, M., J. Math. Phys., 32, 188 (1953).

    MATH  MathSciNet  Google Scholar 

  23. ANDERSON, D.G., MACOMBER, H.K., J. Mathem. Phys. (1962).

    Google Scholar 

  24. SEGAL, B.M., FERZIGER, J.M., Phys. of Fl., 15, 1233–1247 (1972).

    Article  MATH  Google Scholar 

  25. SHAKHOV, E.M., Mech. Zhidk. Gaza 1969, 69–75

    Google Scholar 

  26. ZHUK, W.J., RIKOV, W.A., SHAKHOV, E.M., Mech. Zhidk., Gaza 1973, 135–141.

    Google Scholar 

  27. SEGAL, B.M., Ph.D. Thesis, Stanford Univ. 1971.

    Google Scholar 

  28. CHAHINE, M.T., NARASIMHA, R., J. Math. Phys., 43, 163 (1964).

    MATH  MathSciNet  Google Scholar 

  29. WANG-CHANG, C.S., UHLENBECK, G.E., Studies in Statistical Mechanics, Vol. 5, North Holland, 1970.

    Google Scholar 

  30. GROSS, E.P., JACKSON, E.A., Phys. Fl., 2, 432 (1959).

    Article  MATH  MathSciNet  Google Scholar 

  31. CERCIGNANI, C., TIRONI, G., RGD (1967) Proceedings, Acad. Press.

    Google Scholar 

  32. MOTT-SMITH, H.M., Phys. Rev., 82, 885–892 (1951).

    Google Scholar 

  33. TAMM, I.E., A.S. USSR, Trudy Inst. Leb. XXIX, 239 (1965).

    Google Scholar 

  34. RODE, D.L., TANENBAUM, B.S., Phys. Fluids, 10, 1352–1353 (1967).

    Article  Google Scholar 

  35. MUCKENFUSS, Ch., Phys. Fluids, 5, 1325–1336 (1962).

    Article  Google Scholar 

  36. OBERAI, M.M., J. Mécanique, 6, 317–326 (1967).

    Google Scholar 

  37. NARASIMHA, R., et al. VI RGD, Nar. Bull. de la Classe des Sciences, Ac.Roy. Belge 5 Serie T LVI 1970.

    Google Scholar 

  38. SALVEN, H., GROSCH, Ch.E., ZIERING, S., Phys. Fluids, 7, 180–189 (1964).

    Article  Google Scholar 

  39. FISZDON, W., HERCZYNSKI, R., WALENTA, Z., 1X RGD Symposium, DVLR-I’ress, W. Germany, 1974.

    Google Scholar 

  40. NORDSIECK, A., HICKS, B.L., RGD (ed. C.L. Brundin) Acad. Press, 1967, vol. I, 695–710.

    Google Scholar 

  41. HICKS, B.L., YEN, S.M., RGD (ed. I. Trilling and H.Y. Wachman), Acad. Press, 1969, vol. I, 313–317.

    Google Scholar 

  42. HICKS, B.L., SMITH, M.A., J. Comp. Phys. 3, 58–79 (1968).

    Article  MATH  Google Scholar 

  43. HICKS, B.L., YEN. S.M., REILLY, B.J., J. Fluid, Mech. 53, 85–111 (1972).

    Article  MATH  Google Scholar 

  44. HICKS, B.L., YEN, S.M., Phys. Fluids, 10, 458–460 (1967).

    Article  Google Scholar 

  45. YEN, S.M., Int.J.Heat Mass Transfer, 14, 1865–1869 (1971).

    Article  MATH  Google Scholar 

  46. YEN, S.M., W. Ng. - to be published in J. Fluid Mech. (1974).

    Google Scholar 

  47. MUNTZ, E.P., HARNETT, L.W., Phys. Fluids, 12, 2027–2035 (1969).

    Article  Google Scholar 

  48. CHEREMISIN, F.G., J. Comp. Math. Phys., 10, 654–665 (1970).

    MATH  Google Scholar 

  49. BIRD, G.A., RGD 1965, RGD 1969, May 1970.

    Google Scholar 

  50. BIRD, G.A., Phys. Fluids, 13, 2676–2681 (1970).

    Article  MATH  Google Scholar 

  51. SCHMIDT, B., J. Fluid Mech., 39, 361–373 (1969).

    Article  Google Scholar 

  52. STURTEVANT, B., STEINHILPER, E.A., Ca. Tech. to be published (1974).

    Google Scholar 

  53. BARCELO, B.T., Phys. Fluids, Cal. Inst. Techn. Pasadena (1970).

    Google Scholar 

  54. RIEUTORD, E., Thése, Lyon (1970).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Fundamental Technological Research, Poland

    Wladyslaw Fiszdon

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  1. Wladyslaw Fiszdon
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Editors and Affiliations

  1. Institute of Fundamental Technological Research Warsaw, Poland

    W. Fiszdon

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© 1981 Springer-Verlag Wien

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Fiszdon, W. (1981). The Structure of Plane Shock Waves. In: Fiszdon, W. (eds) Rarefied Gas Flows Theory and Experiment. International Centre for Mechanical Sciences, vol 224. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2898-5_5

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  • DOI: https://doi.org/10.1007/978-3-7091-2898-5_5

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-81595-3

  • Online ISBN: 978-3-7091-2898-5

  • eBook Packages: Springer Book Archive

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