Radiative Transfer Through a Spherical Shell of an Absorbing-Emitting Gray Medium
The problem of energy transfer through a spherical shell of an absorbing-emitting, gray and uniformly heat generating medium confined between two concentric spheres is studied. The spheres are considered to be opaque, diffuse as well as gray and are maintained at different but uniform temperatures. Radiative transfer theory is used to formulate the problem rigorously. A superposition method is employed to transform the energy equation into two singular Fredholm integral equations of the second kind for two universal functions. The numerical solution of these equations is obtained by the method of successive approximations. Results are reported graphically as well as in a tabular form and are compared with available solutions. © 1967.
R. Viskanta and A. L. Crosbie, "Radiative Transfer Through a Spherical Shell of an Absorbing-Emitting Gray Medium," Journal of Quantitative Spectroscopy and Radiative Transfer, Elsevier, Jan 1967.
The definitive version is available at http://dx.doi.org/10.1016/0022-4073(67)90004-0
Mechanical and Aerospace Engineering
Article - Journal
© 1967 Elsevier, All rights reserved.