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

where

LaTeX Math Inline
bodyz(l) = l \, \cos \theta

elevation along along the 1D flow trajectory 

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bodyl

measured length  along the 1D flow trajectory 

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body\theta

trajectory inclination

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body\rho

Fluid density

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bodyu=u(l)

fluid velocity along the trajectory

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bodyp=p(l)

fluid pressure along the trajectory


See Euler equation for derivation.

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