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Momentum equation for the 1D stationary incompressible Inviscid fluid flow with no contact forces (a partial case of Euler equation ):

\frac{p(l)}{\rho} +  \frac{u^2}{2} -  g \cdot l \cdot \cos \theta   = \rm const

where

elevation along along the 1D flow trajectory 

measured length  along the 1D flow trajectory 

trajectory inclination

Fluid density

fluid velocity along the trajectory

fluid pressure along the trajectory


See Euler equation for derivation.

See also


Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Dynamics / Fluid flow / Navier–Stokes equation / Euler equation