Apparent Radiative Properties and Radiation Scattering by a Semitransparent Hemispherical Shell

Knowledge of the apparent radiative properties of a semitransparent hemispherical shell placed on an opaque surface is of fundamental interest and is also important to a number of applications in materials processing and manufacturing, ranging from metallurgical slag foaming to batch foams in glass melting to hollow bead fabrication. This paper extends our recent work [7]using the analytical and numerical ray tracing techniques to study radiative transfer in the system described. Specifically, the local volumetric heating rate and the scattering phase function of a thin hemispherical shell exposed to incident collimated radiation are calculated both analytically and numerically, and the results are discussed in detail. To further elucidate the results, the comparison is made of the total apparent transmittance of the hemispherical shell to a plane parallel layer of semitransparent material.