The fluid flow with zero material derivative of its density:
| LaTeX Math Block | ||||
|---|---|---|---|---|
| ||||
\frac{D \rho}{ Dt} = \frac{\partial \rho}{\partial t} + \rho \cdot \nabla {\bf u} = 0 |
This also implies that material balance With account of Continuity equation:
| LaTeX Math Block | ||||
|---|---|---|---|---|
| ||||
\frac{\partial \rho}{\partial t} + \nabla (\rho \, {\bf u}) = 0 |
the Incompressible flow criteria simplifies to:
| LaTeX Math Block | ||||
|---|---|---|---|---|
| ||||
\nabla {\bf u} = 0 |
...