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A SOLUTION TO THE INTEGRAL EQUATIONS FOR RADIATIVE TRANSFER OF HEAT IN THE ATMOSPHERE,
ARMY ELECTRONICS COMMAND FORT HUACHUCA ARIZ ATMOSPHERIC SCIENCES LAB
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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
APPROVED FOR PUBLIC RELEASE