A Non-Gray Radiative-Transfer Problem.

Abstract

view Abstract Citations (9) References (8) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS A Non-Gray Radiative-Transfer Problem. Carrier, C. F. ; Avrett, E. H. Abstract The absorption coefficient for a stellar atmosphere depends on frequency as well as depth. Often the frequency dependence is characterized by a large discontinuity at each of the series limits In order `to investigate the effect of such a discontinuity, we consider a model atmosphere with an absorption'coefficient of the simple form K(x, ) = where E is constant and small compared with unity. Using the Eddington approximation, we obtain for the temperature distribution a highly non4inear differential equation which is of boundary4ayer, type. This equation is solved by conventional methods of boundary4ayer theory. The calculated results exhibit a greatly reduced temperature in the outer layers of the atmosphere (the boundary layer) and a greatly reduced amount of ultraviolet flux (v> po) emerging from the atmosphere. The method by which the boundary4ayer equation is obtained and solved is applicable for absorption coefficients of greater complexity and for approximations of higher order than the Eddington approximation. Publication: The Astrophysical Journal Pub Date: September 1961 DOI: 10.1086/147173 Bibcode: 1961ApJ...134..469C full text sources ADS |