Table 4 Specializations of the generalized conservation equation [30]
\(\Phi\) | \({D}_{\Phi }\) | \({Q}_{\Phi }\) | |
|---|---|---|---|
Mass conservation | 1 | 0 | 0 |
Impulse conservation | \(\overline{u }\) | \(\nabla \cdot \overline{\tau }\) | \(-\nabla p+\eta \Delta \overline{u }+\rho \overline{g }+F\) |
Energy conservation | h | \(- \nabla \cdot \overline{{q^{\prime\prime}}}\) | \(\frac{\partial p }{{\partial t}} + \nabla \cdot \left( {\overline{\tau } \cdot \overline{u}} \right)\) |