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An exact similarity solution in radiation-gas-dynamics

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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.

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References

  1. Marshak, R. E...Phys. Fluids, 1958,1, 24.

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  2. Elliot, L. A...Proc. Roy. Soc., 1960,258 A, 287.

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  6. Sedov, L. I...Similarity and Dimensional Method in Mechanics, Academic Press, New York, 1959.

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Authors and Affiliations

  1. Department of Applied Mathematics, Indian Institute of Science, Bangalore, India

    S. Ashraf & P. L. Sachdev

Authors
  1. S. Ashraf
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  2. P. L. Sachdev
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Communicated by Dr. P. L. Bhatnagar,f.a.sc.

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Ashraf, S., Sachdev, P.L. An exact similarity solution in radiation-gas-dynamics. Proc. Indian Acad. Sci. 71, 275–281 (1970). https://doi.org/10.1007/BF03049574

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  • DOI: https://doi.org/10.1007/BF03049574

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