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
Fluid is a substance that

cannot remain at rest under action of any shear force
cannot be subjected to shear forces
has the same shear stress.at a point regardless of its motion
always expands until it fills any container

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