On the Relation of the Diurnal Variation of Pressure With Height

Abstract

Hitherto little is known on the vertical change of the diurnal variation of pressure. Recently, H. R. Kubota and S. Miyake have undertaken an investigation based on the data at Lindenberg computed by Fujiwhara and Takeda, but it ended in unsatisfactory result. In the present note, the same problem is attacked by solving the differential equation given by Max Margules, in which the vertical lapse rate of temperature is newly taken into consideration, so that the pressure variations at several heights are calculated. The obtained values coincide well with those calculated by Fujiwhara and Takeda, applying Laplace's formula, layer by layer, in the free air and these also agree in order and character with the results of mountain observations.
By introducing a boundary condition that at the earth's surface, the vertical motion is zero, another solution is obtained, which after numerical calculation is'proved to coincide well with the above result.