Momentum equation for the 1D stationary 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 z(l) = \rm const |
where
| elevation along the 1D flow trajectory | ||||
| measured length along the 1D flow trajectory | ||||
| trajectory deviation | ||||
| fluid velocity along the trajectory | ||||
| fluid pressure along the trajectory | ||||
| fluid density | ||||
| standard gravity constant |
See Euler equation for derivation.
See also
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Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Dynamics / Fluid flow / Navier–Stokes equation / Euler equation