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Momentum equation for the 1D stationary incompressible Inviscid fluid flow with no contact forces in Earth's Gravity with no friction (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 inclination | ||||
| Fluid density | ||||
deviation | |||||
| fluid velocity along the trajectory | ||||
| fluid pressure along the trajectory | ||||
| fluid density | ||||
| standard gravity constant |
See Euler equation for derivation.
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