# Structural modeling

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 Revision as of 21:55, 24 June 2013 (view source)Media777 (Talk | contribs)← Older edit Revision as of 22:00, 24 June 2013 (view source)Media777 (Talk | contribs) Newer edit → Line 3: Line 3: :$:[itex] \tau_{ij} = \widetilde{\bar{u}_i} \widetilde{\bar{u}_j} - \widetilde{\bar{u}_i \bar{u}_j} \tau_{ij} = \widetilde{\bar{u}_i} \widetilde{\bar{u}_j} - \widetilde{\bar{u}_i \bar{u}_j} +$ + + + Those derived by formal series expansions + + :$+ \tau_{ij} = \frac{\Delta^2}{12} \frac{\partial \bar{u}_i}{\partial x_{k}} \frac{\partial \bar{u}_j}{\partial x_{k}}$ [/itex]

## Revision as of 22:00, 24 June 2013

Those that use the physical hypothesis of scale similarity

$\tau_{ij} = \widetilde{\bar{u}_i} \widetilde{\bar{u}_j} - \widetilde{\bar{u}_i \bar{u}_j}$

Those derived by formal series expansions

$\tau_{ij} = \frac{\Delta^2}{12} \frac{\partial \bar{u}_i}{\partial x_{k}} \frac{\partial \bar{u}_j}{\partial x_{k}}$