Papers in Meteorology and Geophysics
Online ISSN : 1880-6643
Print ISSN : 0031-126X
ISSN-L : 0031-126X
On the Motion Uniform in a Direction
T. Sato
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1951 Volume 2 Issue 3-4 Pages 339-342

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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.
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© by Japan Meteorological Agency / Meteorological Research Institute
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