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

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

where

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body	z(l

measured length along the

) = l \, \cos \theta

elevation along the 1D flow trajectory

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body

l

measured length along the 1D flow trajectory

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body	\

theta(l)

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body	u=u(l)

fluid velocity along the trajectory

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body	p=p(l)

fluid pressure along the trajectory

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body	\rho = \rm const

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body	g = \rm const

See Euler equation for derivation.

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