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The Influence of Variable Mixing Ratio and Temperature on the Radiation Flux by G. N. Plass; D. I. Fivel is a Earth and Planetary Sciences article available to read on EtoBox.

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## Abstract A rapidly convergent solution is obtained for the equations of radiative transfer. An absorbing atmosphere having an arbitrary variation of mixing ratio, temperature and pressure with height is considered. The Lorentz shape of the spectral lines together with the dependence of their line strengths and half‐widths on pressure and temperature are taken into account in the calculations. It is assumed that the lines do not overlap and the range of validity of this approximation is stated. It is shown that the expression for the absorption of radiation over a path between any two heights can be written in a tractable form even after three‐fold integration over the variable conditions along the path, over frequency and over all angles in the hemisphere. When the mass per unit area, along the path, is small or the line intensity is small or both, thus causing the absorption of radiation to be small even at the centre of the line, the integrated absorption is proportional to the dimensionless constant gamma that occurs in atmospheric radiation problems; when these quantities are large, thus causing the absorption to be complete for several half‐widths from the centre of the lin

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Author

G. N. Plass; D. I. Fivel

Publisher

John Wiley and Sons; Wiley (John Wiley & Sons); Wiley-Blackwell; Wiley (ISSN 0035-9009)

Published

1955

Language

EN

Field

Earth and Planetary Sciences (Physical Sciences)