Abstract
The propagation of a spherical shock wave in an ideal gas with heat conduction and radiation heat-flux, and with or without self-gravitational effects, is investigated. The initial density of the gas is assumed to obey a power law. The heat conduction is expressed in terms of Fourier’s law and the radiation is considered to be of the diffusion type for an optically thick grey gas model. The thermal conductivity and the absorption coefficient are assumed to vary with temperature and density, and the total energy of the wave to vary with time. Similarity solutions are obtained and the effects of variation of the heat transfer parameters, the variation of initial density and the presence of self-gravitational field are investigated.
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Vishwakarma, J.P., Singh, A.K. A self-similar flow behind a shock wave in a gravitating or non-gravitating gas with heat conduction and radiation heat-flux. J Astrophys Astron 30, 53–69 (2009). https://doi.org/10.1007/s12036-009-0002-0
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DOI: https://doi.org/10.1007/s12036-009-0002-0