Abstract
Under four assumptions we integrated the equations of motion uniform in a direction, and obtained integrals in Cartesian coordinates, in the,x-direction of which the motion is considered. to be uniform. As in this case it is seen from the equation of con- tinuity that momentum can be expressed by applying streamsurface functions, therefore we can get two integrals: one concerning momentum and the other concerning vorticity. The integral concerning energy can not be obtained, unless we assume the pressure distribution to be stationary.
If we further assume that the motion is stationary, then we get the same integrals as those which we derived before.