# Spherical Shock Waves of Variable Energy in A Radiating Atmosphere

### Abstract

This paper presents power series similarity solutions for spherical shock waves of variable energy propagating in a radiating gas, taking into consideration the Rosseland’s radiative diffusion model. These similarity solutions are obtained for an energy input , where is the energy released up to time *t* and** **is a functional constant. The effects of radiation-parameter are explored on the pressure, the density, the particle velocity and the heat flux of radiation just behind the spherical shock front. The results provided a clear picture of whether and how the radiation flux affects the distribution of the flow variables in the region behind the spherical shock waves.

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### References

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