Computer Science – Numerical Analysis
Scientific paper
Dec 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974jqsrt..14.1209b&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 14, Dec. 1974, p. 1209-1237.
Computer Science
Numerical Analysis
3
Collimation, Gray Gas, Radiation Laws, Radiative Transfer, Thermodynamic Equilibrium, Two Dimensional Boundary Layer, Differential Equations, Diffuse Radiation, Emissivity, Integral Equations, Numerical Analysis, Optical Thickness, Steady State, Tables (Data)
Scientific paper
Exact expressions are presented for the emissive power at the boundaries of a two-dimensional, finite, planar, absorbing-emitting, gray medium exposed on one side to cosine varying radiation and on the other side to no radiation. The emissive powers at the boundaries of a medium illuminated by cosine varying collimated radiation are the generalized X- and Y-functions which are analogous to Chandrasekhar's X- and Y-functions. Integro-differential equations for the generalized X- and Y-functions are formulated and reduced to a system of ordinary differential equations and are solved numerically. The emissive powers at the boundaries for cosine varying diffuse radiation are moments of the generalized X- and Y-functions.
Breig W. F.
Crosbie A. L.
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