Momentum equation for the 1D stationary incompressible Inviscid fluid flow incompressible fluid in Earth's Gravity with no friction it simplifies
with no contact forces (a partial case of Euler equation ):
\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.
Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Dynamics / Fluid flow / Navier–Stokes equation / Euler equation