Reconstruction of surface temperature from a given radiation field
Abstract
Solutions are presented to problems of reconstructing the surface temperature field of one of a pair of parallel semiinfinite plates from given flux density distributions of incident radiation on the surface of the other plate. The mathematical problems are stated using two different formulations: extremal and integral. The extremal problem is solved by the deformable polyhedron method; the integral problem is solved by the Tikhonov method of order zero, with the regularization parameter selected on the basis of a combined criterion. The possibilities of each approach are illustrated by examples.
 Publication:

Akademiia Nauk SSSR Sibirskoe Otdelenie Izvestiia Seriia Tekhnicheskie Nauki
 Pub Date:
 August 1988
 Bibcode:
 1988SiSSR.......10B
 Keywords:

 Incident Radiation;
 Radiation Distribution;
 Radiative Heat Transfer;
 Surface Temperature;
 Density Distribution;
 Diffusion;
 Flux Density;
 Integral Equations;
 Polyhedrons;
 Reconstruction;
 Fluid Mechanics and Heat Transfer