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Momentum equation for the 1D stationary incompressible Inviscid fluid flow in Earth's Gravity with no friction (a partial case of Euler equation ):

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

where

elevation along the 1D flow trajectory 

measured length  along the 1D flow trajectory 

trajectory deviation

fluid velocity along the trajectory

fluid pressure along the trajectory

fluid density

standard gravity constant


See Euler equation for derivation.

See also


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