the averaged momentum equation where $u=\overline{u} + u'$ and $\overline{u'}=0$ with the bar representing spatial and/or time averages and the $'$ prime fluctuations around the average

$ { \partial \overline{u_i} \over \partial t} +  \overline {u_j} { \partial \overline {u_i} \over \partial x_j} =   -{1 \over \rho} {d \overline{p} \over d x_i} + {\partial \over \partial x_j} \left( \nu { \partial \overline{u_i} \over \partial x_j} - \overline{ {u_i}'{u_j}' } \right)$ where $ \overline{ {u_i}'{u_j}' } =\overline{ {u_i}{u_j}} -\bar{u_i}  \bar{u_j}  $


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Topic revision: r2 - 2010-01-24 - 14:32:46 - YacineKahil
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