Hydraulics & Fluid Mechanics
The continuity equation pi V,A,= p2V2A2 is based on the following assumption regarding flow of fluid (where pi and p2 are mass densities.)

uniform flow
steady flow
incompressible flow
frictionless flow

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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 direction and magnitude of the veiocity at all points are identical
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

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