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Momentum equation for the 1D trajectory 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

measured length along the 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