To model the bulk properties of a turbulent fluid flow, we often expand the velocity field into an average and a fluctuating component, substitute into the Navier-Stokes equations, and then average the equations in time. This video describes how to derive the Reynolds averaged Navier-Stokes (RANS) equations, which are widely used for turbulence modeling in engineering applications.

Citable link for this video: https://doi.org/10.52843/cassyni.1xkvn0

Check out the excellent notes by Lex Smits: http://profs.sci.univr.it/~zuccher/do...

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This video was produced at the University of Washington