THE STRUCTURE OF A SHOCK WAVE WITH ACCOUNT TAKEN OF THE TRANSFER OF MOMENTUM AND ENERGY BY RADIATION.
JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB
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The following simplifying assumptions are made in the equations of relativistic gasdynamics with radiative energy transfer negligible pressure ahead of the shock, constant absorption coefficient, and ideal gas with an effective adiabatic exponent. The angular distribution of radiation intensity is averaged using Eddingtons method or a diffusion approximation. The two methods of averaging lead to the same approximate expressions, differing only slightly in the values of numerical coefficients. For a general case, familiar ordinary nonlinear differential equations, to be solved numerically, are derived. The integral curve satisfying the boundary conditions passes through two singular points. Although only first-order relativistic effects are considered, the radiative transfer is shown to have a pronounced effect on the shock structure, depending on the flow density and velocity. Author
- Fluid Mechanics