RADIATIVE HEAT TRANSFER AND CONDUCTION BETWEEN PARALLEL WALLS.

Abstract

A simple problem is presented in each of the theories of radiation and kinetic transport. In the first half the problem examined is that of the radiative heat transfer between parallel walls bounding a slab of hot gas. An exact solution to this problem is obtained in terms of the moments of Chandrasekhar's X and Y functions. In addition, exact results are obtained for the magnitude of the temperature discontinuity at each wall. These results confirm the accuracy of a simple slip analysis. The second half is concerned with the more difficult problem of kinetic heat transfer for the same basic geometry. A linearized relaxation model for the Boltzmann equation is adopted and simplified with the specific intention of obtaining equations formally identical to those of radiative transport. These equations are then solved for the heat transfer and temperature jumps using the results of the first section. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1965
Accession Number
AD0619419

Entities

People

  • John D. Buckmaster

Organizations

  • Calspan

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Boltzmann Equation
  • Discontinuities
  • Equations
  • Gases
  • Geometry
  • Heat Transfer
  • Hot Gases
  • Mathematics
  • Radiation
  • Transport Ships

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Thermal Physics or Thermal Science.