Non Steady Radiative-process in a Gray-absorbtive Material and its Applications to the Upper Atmosphere

Abstract

In a field of a gray-absorbtive material, the mathematical expression of heat-transfer by radiation was given by,
where B represents black body radiation, and Φ, heat source or incident radiation. Applying Φ the incoming radiation of the earth and the sun, the above expression is transformed as follow:
Thus, we know, the temperature of the upper atmosphere may, for some adequate value of absorbtion-coeff. and heat-capacity of gas, vary with the period of the rotating sun, and for other values, the effect of the sun appears stationary, always supplying the energy of 1/π times of the solarconstant.