Abstract
From the equations of motion including inertia terms, which are very difficult for integration, we can derive intermediate integrals in some cases, if we adopt the following assumptions:
(A) motion is stationary,
(B) motion is uniform in one direction,
(C) fluid is autobarotropic,
because, in this case, the equation of continuity becomes simple and the motion is expressed by applying a pseudo-streamline function. Here is stated the general process of integration, only in the case when Cartesian coordinates are used. The treatment of the case when curvilinear coordinates are used, will be reserved for another opportunity. Some of the applications of these integrals are already published by the author.
