\[ \underbrace{c_{ij}}_{\substack{\text{convection term}}} = \underbrace{d_{ij}}_{\substack{\text{diffusion term}}} + \underbrace{P_{ij}}_{\substack{\text{production term}}} + \underbrace{\phi_{ij}}_{\substack{\text{redistribution term}}} - \underbrace{\varepsilon_{ij}}_{\substack{\text{dissipation term}}} \]

For incompressible fluids, the exact form of the Reynolds stress transport equation can be written as $$ \frac{\partial \overline{u_i u_j}}{\partial t}+C_{ij} = P_{ij}+\Phi_{ij}+d^{\nu}_{ij}+d^{t}_{ij}+d^{p}_{ij}-\varepsilon_{ij} $$