TEMPERATURE DISCONTINUITIES AND ENERGY TRANSFER IN ONE-DIMENSIONAL RADIATION PROBLEMS,

Abstract

A formulation for the temperature (or emissive power) distribution and radiative energy flux is given for a radiating grey gas layer bounded by two parallel black surfaces. The gas temperatures at the surfaces are solved exactly by using the Laplace transform. The temperature of the gas at the surface is, in general, not equal to the surface temperature. The temperature discontinuity is made up of the sum of two terms, an exponential of the optical thickness of the gas layer and an integral of an exponential of the optical thickness. An analytic solution for the energy flux is obtained by assuming an approximate temperature (or emissive power) distribution function. Results for the temperature (or emissive power) discontinuities and energy flux are presented as a function of the gas layer optical thickness. Comparisons with numerical results and other approximate calculations are made. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1965
Accession Number
AD0618220

Entities

People

  • Yuan-siang Pan

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Discontinuities
  • Distribution Functions
  • Energy
  • Energy Transfer
  • Integrals
  • Mathematics
  • Radiation
  • Surface Temperature
  • Thickness

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Thermal Physics or Thermal Science.