THE INFLUENCE OF VISCOSITY ON SHOCK WAVES STRUCTURED BY RADIATION,
Abstract
The structure of normal shock waves with radiation, viscosity, and thermal conductivity is treated in the physically relevant limit of large radiation absorption length (or photon mean free path) compared to molecular transport length (or molecular mean free path). If radiation is not too intense or the shock too weak, then a viscous, conducting shock is found embedded in a radiation structured inviscid shock. Under very general conditions, this viscous 'shock within a shock' has precisely the same structure as a classical (radiationless) viscous, conducting shock when reinterpreted as to initial and final states, to lowest order in an expansion based on the ratio of the two transport lengths. This lowest order solution is no longer trivial when the optically thin region considered is embedded in a much thicker region. The next order corresponds to the usual optically thin case but the well known formula (accounting for emission but not absorption by the gas) does not apply; the divergence of the radiation flux is actually given by the emission minus absorption of the radiation from the outer region. Since the relative importance of these two effects changes markedly through the inner viscous shock, the usual formula is meaningless here. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1964
- Accession Number
- AD0609106
Entities
People
- Ira M. Cohen
- Joseph H. Clarke
Organizations
- Brown University