ON RADIATIVE HEAT TRANSFER IN SOLIDS.
Abstract
Analysis of radiative heat transfer inside a solid in which there is simultaneous transmission, absorbtion, and re-radiation (and conduction is neglected) leads to two simultaneous integral equations whose solution leads to a temperature (T)-distance (x) profile (at steady state) of the form T to the 4th power = T (T sub zero) to the 4th power - (kB/2 sigma)x where k is the specific absorbtion for the material, B the net radiative heat transfer, sigma is Boltzmans constant. Values of k (assumed independent of temperature and wavelength) for which radiative heat transfer is estimated to be a significant contribution range from 0.1 to 100 (clear, transparent glasses to opaque grey solids). In combustion and ablation situations calculation of the time constants for establishment of radiative and conductive steady-state show that radiation might even be the dominant mode of heat transfer. Another result that emerges from the analysis is an equation for the overall solid emissivity which is found to vary with the temperature profile inside the solid. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1966
- Accession Number
- AD0645230
Entities
People
- R. H. Essenhigh
Organizations
- Pennsylvania State University