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An exact similarity solution in radiation-gas-dynamics

  • S. Ashraf
  • P. L. Sachdev
Article

Abstract

We have found an exact similarity solution of the point explosion problem in the case when the total energy of the shock wave that is produced is not constant but decreases with time and when the loss due to radiation escape is significant. We have compared the results of our exact solution with those of exact numerical solutions of Elliot and Wang and have explained the cause why our solution differs from theirs in certain aspects.

Keywords

Shock Wave Radiation Flux Diffusion Approximation Radiative Transfer Equation Shock Region 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Marshak, R. E...Phys. Fluids, 1958,1, 24.zbMATHCrossRefMathSciNetGoogle Scholar
  2. 2.
    Elliot, L. A...Proc. Roy. Soc., 1960,258 A, 287.Google Scholar
  3. 3.
    Wang, K. C...Jour. Fluid Mech., 1964,20, 447.zbMATHCrossRefGoogle Scholar
  4. 4.
    Taylor, G. I...Proc. Roy. Soc., 1950,201 A, 175.Google Scholar
  5. 5.
    McVittie, G. C...Ibid., 1953,220 A, 339.MathSciNetGoogle Scholar
  6. 6.
    Sedov, L. I...Similarity and Dimensional Method in Mechanics, Academic Press, New York, 1959.Google Scholar

Copyright information

© Indian Academy of Sciences 1970

Authors and Affiliations

  • S. Ashraf
    • 1
  • P. L. Sachdev
    • 1
  1. 1.Department of Applied MathematicsIndian Institute of ScienceBangaloreIndia

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