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Momentum equation for the 1D stationary incompressible Inviscid fluid flow incompressible fluid
in Earth's Gravity with no friction it simplifies LaTeX Math Inline body \rho = \rm const
with with no contact forces (a partial case of Euler equation ):
| LaTeX Math Block | ||||
|---|---|---|---|---|
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\frac{p(l)}{\rho} + \frac{u^2}{2} - g \cdot z(l) \cdot \cos \theta = \rm const |
where
| elevation along along along the 1D flow trajectory | ||||||||||
| measured length along the 1D flow trajectory | ||||||||||
| trajectory inclinationdeviation | ||||||||||
| \rho | Fluid density |
| fluid velocity along the trajectory | |||||||
| fluid pressure along the trajectory | ||||||||||
| fluid density | ||||||||||
| standard gravity constant |
See Euler equation for derivation.
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