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On the propagation of sonic waves in a dissociating gas

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Acta Physica Academiae Scientiarum Hungaricae

Abstract

The effects of non-equilibrium dissociation and that of wave front curvature on the propagation of sonic waves and their consequent formation into shock waves are examined. Special attention is paid to waves of plane, cylindrical and spherical geometry propagating into regions of weak equilibrium or strong equilibrium. It is found that a state of strong equilibrium has a stabilizing influence in that not all compression waves will grow into shock waves. Further, it is interesting to note that in a weak equilibrium state, all compression waves, no matter how weak initially, always end up into a shock whereas all expansion waves decay but not completely unlike the situation that occurs in a strong equilibrium state.

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References

  1. R. Ram andM. Gaur, Acta Phys. Hung.,40, 85, 1976.

    Article  Google Scholar 

  2. T. Y. Thomas, J. Math. Mech.,6, 455, 1957.

    MATH  MathSciNet  Google Scholar 

  3. C. N. Kaul, Proc. Ind. Theo. Appl. Mech. Cong.,5, 81, 1959.

    MathSciNet  Google Scholar 

  4. C. N. Kaul, Int. J. Engng. Sci.,13, 641, 1965.

    Article  Google Scholar 

  5. C. N. Kaul, J. Math. Analysis Applic,25, No. 2, 425, 1969.

    Article  MATH  MathSciNet  Google Scholar 

  6. S. Srinivasan andR. Ram, ZAMP,26, 307, 1975.

    Article  ADS  Google Scholar 

  7. R. S. Singh andR. Ram, Acta Physica Polonica A52, 201, 1977.

    Google Scholar 

  8. R. M. Bowen, Arch. Ratl. Mech. Anal.,33, 169, 1969.

    Article  MATH  MathSciNet  Google Scholar 

  9. T. Y. Thomas, J. Math. Mech.,6, 311, 1957.

    MathSciNet  Google Scholar 

  10. T. Y. Thomas, Int. J. Engng. Sci.4, 207, 1966.

    Article  MATH  Google Scholar 

  11. T. Y. Thomas, Concepts from Tensor Analysis and Differential Geometry, Academic Press, 1961.

  12. E. P. Lane, Metric Differential Geometry of Curves and Surfaces, Univ. Chicago Press, 1940.

  13. M. J. Lighthill, J. Fluid Mech.,2, 1, 1957.

    Article  ADS  MathSciNet  Google Scholar 

  14. T. Y. Li andS. J. Hsia, Studies on Dissociating Gasdynamics Pt. I. On the Linearized Dissociating Gasdynamics, Tech. Rep. AE 6501, Univ of Cincinnati, Ohio, July 1965.

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Authors and Affiliations

  1. Applied Mathematics section, Institute of Technology, Banaras hindu university, 221005, Varanasi, India

    V. D. Sharma & Radhe Shyam

Authors
  1. V. D. Sharma
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  2. Radhe Shyam
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Sharma, V.D., Shyam, R. On the propagation of sonic waves in a dissociating gas. Acta Physica 46, 299–308 (1979). https://doi.org/10.1007/BF03157948

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  • DOI: https://doi.org/10.1007/BF03157948

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