The surface cooling effect in radiative transfer

Computer Science

Scientific paper

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Energy Transfer, Grazing Incidence, Half Spaces, Nuclear Explosions, Radiative Transfer, Surface Cooling, Computerized Simulation, Hydrodynamics, Neutrons, Photons, Temperature Distribution

Scientific paper

The half space radiative equilibrium problem with an incident beam of energy is analyzed by both the equation of transfer and the diffusion approximation. The spatial dependence of the source function is shown to exhibit (unexpected) surface cooling for all angles of incidence. For grazing incidence, the source function additionally exhibits a maximum within the halfspace. The diffusion results agree qualitatively with these transport findings for near normal incidence, but not for grazing incidence. The relationship of this problem to one in neutron transport theory is established, graphical results are presented, and the relevance of this analysis to understanding detailed radiation-hydrodynamic computer results for a certain class of problems is discussed.

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