APPLICATION OF MATCHED ASYMPTOTIC EXPANSIONS TO RADIATIVE TRANSFER IN AN OPTICALLY THICK GAS,

Abstract

Radiative transport of thermal energy between concentric spheres is treated by the method of matched asymptotic expansions when the intervening grey gas is optically thick. Adjacent to each wall is a thin thermal layer in which the Rosseland diffusion approximation is invalid. A unique feature of this analysis is the direct application of matched asymptotic expansions to an integral equation. A close connection is thereby established between the structure of the wall layers and the Milne problem of astrophysics. Using the asymptotic approach, uniformly valid results are obtained for the emissive power, temperature slip at the walls, and heat flux. The asymptotic results are compared with the Rosseland approximation and with a numerical solution. A comparison is also made with the plane parallel layer problem to demonstrate the effect of a changed geometry. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1968
Accession Number
AD0673877

Entities

People

  • George Emanuel

Organizations

  • The Aerospace Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Astrophysics
  • Asymptotic Series
  • Diffusion
  • Equations
  • Geometry
  • Heat Flux
  • Integral Equations
  • Integrals
  • Mathematics
  • Radiative Transfer
  • Transport Ships

Readers

  • Fluid Dynamics.
  • Spectroscopy.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster