Specific form of Euler equation for incompressible 1D fluid flow (along a trajectory) with no contact forces:
(1) | \frac{p(l)}{\rho} + \frac{u^2}{2} - g \, l \, \cos \theta = \rm const |
where
l | measured length along the trajectory |
\theta | trajectory inclination |
\rho | Fluid density |
u=u(l) | fluid velocity along the trajectory |
p=p(l) | fluid pressure along the trajectory |
See also
Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Dynamics / Fluid flow / Navier–Stokes equation / Euler equation