| where g is the gravity acceleration
constant (9.81 m/s2; 32.2 ft/s2), V is
the velocity of the fluid, and z is the height above an
arbitrary datum. C remains constant along any streamline
in the flow, but varies from streamline to streamline. If the flow
is irrotational,
then C has the same value for all streamlines.
The function is the "pressure
per density" in the fluid, and follows from the barotropic
equation of state, p = p(r).
For an incompressible
fluid, the function simplifies to p/r, and the incompressible Bernoulli Equation
becomes: |