NOTE ON THE THEORY OF NOCTURNAL RADIATIONAL COOLING OF THE EARTH'S SURFACE

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Abstract
The present note gives a short account of a theoretical investigation of radiational cooling of the ground during nights sufficiently uniform in air-mass properties and cloudiness. The result may be of interest in connection with ground-frost prediction and with respect to cooling of the earth's surface during a polar night. Dropping the assumption of constancy of the effective radiation R during the night and assuming a linear variation of R with the surface temperature leads to a new formula, of which the well known formula of Brunt is a limiting case. The theory is capable of further generalization in a rather simple way. Abstract The present note gives a short account of a theoretical investigation of radiational cooling of the ground during nights sufficiently uniform in air-mass properties and cloudiness. The result may be of interest in connection with ground-frost prediction and with respect to cooling of the earth's surface during a polar night. Dropping the assumption of constancy of the effective radiation R during the night and assuming a linear variation of R with the surface temperature leads to a new formula, of which the well known formula of Brunt is a limiting case. The theory is capable of further generalization in a rather simple way.

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