A POINT EXPLOSION IN A COLD EXPONENTIAL ATMOSPHERE. PART 2. RADIATING FLOW,
Abstract
The problem considered is that of a strong shock propagating from a point energy source into a cold exponential atmosphere with radiative heat transfer in the flow behind the shock. The radiation mean free path is taken to be small compared to the shock radius so that the shock may be treated as discontinuous and the radiative heat flux represented by the Rosseland diffusion approximation. The solution obtained is an approximate one based upon the 'local radiality' assumption and integral method previously utilized by the authors for the case of adiabatic flow. A radiation parameter is developed which provides an index as to when the effects of radiation may be neglected and the flow taken to be adiabatic. The physical interpretation of this parameter is that of the ratio of a characteristic radiation energy flux to a characteristic kinetic energy flux. It is shown that when the radiation mean free path varies as a power of the temperature (T to the nth power), where n = - 17/6, the infinity of solutions for various polar angles can be transformed into two distinct solutions thereby essentially eliminating the parametric dependence on the polar angle and the atmospheric scale height. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1969
- Accession Number
- AD0690894
Entities
People
- Dallas D. Laumbach
- Ronald F. Probstein
Organizations
- Massachusetts Institute of Technology