Approximate solutions for isothermal flows behind strong spherical shocks with variable energy
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Self-similar unsteady flows with zero temperature gradient behind strong spherical shocks propagating in non-uniform perfect gas at rest are investigated. The total energy of the flow is assumed to be varying with the shock radius obeying a power law. Approximate solutions in a closed analytical form are obtained using the integral method. Also these solutions are shown to be useful to calculate easily and quickly the shock temperature, X-ray surface brightness and luminosity which are important in astrophysical problems. It is found that these approximate solutions are in close agreement with numerical solutions.
KeywordsTotal Energy Temperature Gradient Approximate Solution Analytical Form Close Agreement
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- Korobeinikov, V. P.: 1956,Dokl. Acad. Nauk. SSSR 109, 271.Google Scholar
- Korobeinikov, V. P., Melnikova, N. S., and Ryazanov, Ye. V.: 1962, inThe Theory of Point Explosion, Chapter 7, U. S. Department of Commerce, Washington (English translation).Google Scholar
- Laumbach, D. D. and Probstein, R. F.: 1969,J. Fluid Mech. 35, 53.Google Scholar
- Sedov, L. I.: 1959,Similarity and Dimensional Methods in Mechanics, Academic Press, New York.Google Scholar
- Solinger, A., Rappaport, S., and Buff, J.: 1975,Astrophys. J. 201, 381.Google Scholar
- Taylor, G. I.: 1950,Proc. Roy. Soc. London A201, 175.Google Scholar