Perturbation solutions for blast waves with convective and radiative heat transfer. (English) Zbl 0733.76039
Summary: The non-self-similar point explosion problem is investigated, taking into account internal heat transfer effects. The conductive heat flux is expressed in terms of Fourier’s law and radiation is considered to be of the diffusion type. A coordinate expansion based on the reciprocal of the square of the shock Mach number is employed to obtain solutions for the initial stages of blast waves with nonzero counter-pressure for either planar, cylindrical or spherical symmetry. The first approximation that corresponds to the self-similar problem and the second approximation are discussed. Since both formulations imply a two-point boundary-value problem with a singularity at the centre of symmetry an iterative shooting technique is applied to determine the correct solutions. The comparison of our results with those of other authors is presented.
MSC:
| 76L05 | Shock waves and blast waves in fluid mechanics |
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
References:
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