Modeling Radiative Heat Transfer in an Absorbing, Emitting, and Scattering Medium
A two-dimensional computer model was developed to determine the heat flux distribution within the metal plasma formed above a metal target irradiated by a laser beam. The P-1 and P-3 spherical harmonics approximations were used to solve the radiative transfer equation. The P-1 approximation reduced the radiative transfer equation to one elliptic partial differential equation. The higher order P-3 approximation reduced the radiative transfer equation to four elliptic partial differential equations. The resulting equations were then solved for the radial and axial heat fluxes using a finite difference algorithm. Comparisons were made and found to be in good agreement with available analytical results. The model confirmed that the P-1 approximation yielded more reliable results when the medium was optically thick. In cases where the medium was optically thin, the P-3 approximation provided the best results. Although many solutions to the radiative transfer equation have been obtained by means of the P-N approximation, the bulk of these have focused on the heat transfer rates for a variety of surface radiative properties in rectangular and cylindrical enclosures . Only limited efforts have been directed toward study of an external collimated beam incident upon an enclosure surface. This study is unique in that the spherical harmonics approximation is used to examine the heat transfer rates within a cylindrical enclosure irradiated at the top surface by a laser beam.
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Master of Science (M.S.)
College of Engineering
Mechanical Engineering and Aerospace Sciences
Length of Campus-only Access
Masters Thesis (Open Access)
Dissertations, Academic -- Engineering; Engineering -- Dissertations, Academic
Erpelding, Peter, "Modeling Radiative Heat Transfer in an Absorbing, Emitting, and Scattering Medium" (1990). Retrospective Theses and Dissertations. 3982.