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@wikipedia


Specific form of Euler Momentum equation for incompressible the 1D fluid flow (along a trajectory) with no contact forcesstationary incompressible Inviscid fluid flow 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 \, \cos \thetaz(l)   = \rm const

where

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bodyz(l) = l

measured length along the

\, \cos \theta

elevation along the 1D flow trajectory 

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body

\thetatrajectory inclination

l

measured length  along the 1D flow trajectory 

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body\

rhoFluid density

theta(l)

trajectory deviation

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bodyu=u(l)

fluid velocity along the trajectory

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bodyp=p(l)

fluid pressure along the trajectory

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body\rho = \rm const

fluid density

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bodyg = \rm const

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