Abstract
In the present paper, the following results are reported.
At first, the actual computation, having due reference to different boundary conditions, of the expressions for the circulation, gives different results. The boundary conditions were assumed by A. Oberbeck and others that at the upper limit of the atmosphere slipping occurs without friction but the motion at the earth's surface is everywhere zero. The last condition, however, is doubtful. The other extreme conditions that both at the upper limit of the atmosphere and at the earth's surface slipping occurs without friction are assumed and the solutions are obtained. The results obtained under these assumptions agree with the atmospheric phenomena in their principal points, but do not agree in several points. The probable boundary conditions should be expected to be some intermediate ones between these two extreme cases.
Next, the effect of the centrifugal force due to the earth's rotation is discussed and concluded that in order to introduce the effect of the centrifugal force one must consider the earth as a ellipsoid of revolution instead of a sphere.
Next, the secondary circulations as monsoons are treated by introducing further terms that depend on the geographical longitude, also.
Lastly, it is concluded that the numerical coefficient of eddy viscosity is larger than 107 C. G. S. of the order of magnitude for the general circulation of the atmosphere. Beside the ordinary circulation, the circulation over polar region being northward below but southward above: descending in the temperate zones but ascending in the arctic region in the northern hemisphere is derived theretically.
