A theoretical one-dimensional analysis of both the temperature and stress distributions in a flat semitransparent plate subjected to a high intensity radiative source at arbitrary incidence angles
Frankel, Jay Irwin
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The temperature and thermal stress distributions in a semi-transparent solid of flat plate geometry exposed to a collimated radiative source for various angles of incidence is investigated. This plate is convectively insulated on the surface where the radiation is incident while the rear surface is convectively cooled. Tile effective internal heat generation term is rederived so as to take into account the internal specular reflections (diffuse reflections were not considered) in the plate when the source is present. The newly-derived effective internal heat generation term allows for variations in the angle of incidence of the collimated source. This one-dimensional analysis investigates the importance of the incoming radiation wavelength, and the angle of incidence, on the behavior of the temperature and stress distributions. The nature of the concavity of the temperature distribution in relation to the stress distribution is also studied. The heating of the plate by a single pulsed source (laser) for a duration of 0.001 seconds followed by the subsequent cooling of the plate is examined by numerical example using Corning Glass Works #7940 Fused Silica glass as the semitransparent material.
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