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Missouri University of Science and Technology

Mechanical Engineering

Theses/Dissertations

1974

<p>Radiative transfer -- Mathematical models<br />Scattering (Physics) -- Mathematical models<br />Finite element method</p>

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Two-Dimensional Radiative Transfer In A Finite Scattering Mediu, James Warren Koewing Jan 1974

Two-Dimensional Radiative Transfer In A Finite Scattering Mediu, James Warren Koewing

Masters Theses

"Exact formulations are presented for the source function, intensity and flux for a two-dimensional, isotropically scattering medium of finite thickness. Spatially varying collimated and diffuse radiation of the following types are incident on the medium: (1) cosine varying, (2) semi-infinite step, (3) step at the origin, and (4) finite strip. The solutions for the cosine varying collimated boundary condition are used to construct solutions for the other boundary conditions. The two-dimensional integral equations are reduced to one-dimensional equations by separating variables. Through a series of transformations, the one-dimensional equations are put into a form in which the source function, intensity …