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Piezometric pressure is the simplest form of the hydrostatic equation in fluid mechanics.
Simply put, the hydrostatic equation is the following:
P + (gamma)*z = constant
(I apologize but I wasn't able to insert greek letters.)
where,
P = pressure.
gamma = specific weight (assume constant; fluid is incompressible unless it is a gas)
z = sometimes called piezometric head or pressure head. It is simply the elevation or the vertical distance (height) from a fixed reference point called a datum.
The whole left side expression of the equation is the piezometric pressure, Pz
In order to use this equation in fluid mechanics, you must define 2 points of analysis and plug the variables.
P1 + [(gamma)*z1] = P2 + [(gamma)*z2]
When dealing with a fluid in motion, however, the piezometric pressure is no longer constant in the system. Partial derivatives and acceleration get involved. The resulting equation is know as Euler's Equation.
Hope this is enough help!
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