Hydraulics & Fluid Mechanics
True one-dimensional flow occurs when

the fluid particles move in plane or parallel planes and the streamline pat-terns are identical in each plane
the magnitude and direction of the velocity do not change from point to point in the fluid
the velocity of successive fluid par-ticles, at any point, is the same at suc-cessive periods of time
the direction and magnitude of the veiocity at all points are identical

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