\frac{D {\bf u}}{Dt} = \frac{1}{\rho} \nabla {\bf \sigma} + {\bf g} |
where
| time and spatial variables | |
| velocity of Continuum Body | |
| density of Continuum Body | |
| stress tensor of Continuum Body | |
| sum of all body forces exerted on Continuum Body | |
| Material derivative of the Continuum Body motion |
In Fluid Mechanics it's known as Navier–Stokes equation:
\frac{\partial {\bf u}}{\partial t} + {\bf u} \nabla {\bf u} = \frac{1}{\rho} \nabla {\sigma} + {\bf g} |
Physics / Mechanics / Continuum mechanics
[ Continuum Body ] [ Navier–Stokes equation ]