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.)

steady flow
uniform flow
incompressible flow
frictionless flow

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Hydraulics & Fluid Mechanics
The normal stress is same in all directions at a point in a fluid

irrespective of the motion of one fluid layer relative to an adjacent layer
only when the fluid is frictionless
only when the fluid is incompressible and has zero viscosity
When there is no motion of one fluid layer relative to an adjacent layer

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Hydraulics & Fluid Mechanics
The shear stress distribution for a fluid flowing in between the parallel plates, both at rest, is

zero at plates and increases linearly to midpoint
parabolic distribution across the section
zero at the mid plane and varies linearly with distance from mid plane
constant over the cross section

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