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@wikipedia


Specific form of Euler equation for incompressible 1D fluid flow (along a trajectory) with no contact forces:

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

where

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bodyl

measured length along the 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 also

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