A SOLUTION TO THE INTEGRAL EQUATIONS FOR RADIATIVE TRANSFER OF HEAT IN THE ATMOSPHERE,

Abstract

Analytic solutions to the integral equations for the radiative transfer of heat in a horizontally homogeneous, dustless atmosphere are derived in this study. It is assumed that the upward radiation from the underlying earth can be treated as blackbody radiation. The transmissivity of the atmosphere is taken to be given by a sum of exponentials which are functions of the precipitable depth of water vapor, the major radiating gas in the atmosphere. Specifying an exponential form for atmospheric transmissivity permits the integration of the transfer equations, provided that the vertical distribution of the fourth power of temperature is expressed as a polynomial function of precipitable water. Hence, the problem of radiative transfer of heat is reduced to the problem of polynomial approximation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1968
Accession Number
AD0672473

Entities

People

  • Robert D. Boudreau

Organizations

  • Atmospheric Sciences Laboratory

Tags

DTIC Thesaurus Topics

  • Atmospheres
  • Blackbody Radiation
  • Electromagnetic Radiation
  • Equations
  • Integral Equations
  • Integrals
  • Mathematics
  • Polynomials
  • Radiation
  • Radiative Transfer
  • Transmissivity
  • Water Vapor

Readers

  • Calculus or Mathematical Analysis
  • Spectroscopy.