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GALCIT Colloquium

Friday, March 2, 2018
3:00pm to 4:00pm
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Guggenheim 133 (Lees-Kubota Lecture Hall)
Self-similarity in boundary layers
Bruno Eckhardt, The Philipps University of Marburg,

Boundary layers control the transport of momentum, heat, solutes and other quantities between walls and the bulk of a flow. The Prandtl-Blasius boundary layer was the first quantitative example of a flow
profile near a wall and could be derived by an asymptotic expansion of the Navier-Stokes equation. For higher flow speeds we have scaling arguments and models, but no derivation from the Navier-Stokes
equation. The analysis of exact coherent structures in plane Couette flow reveals ingredients of such a more rigorous description of boundary layers. I will describe how exact coherent structures can be scaled to obtain self-similar structures on ever smaller scales as the Reynolds number increases.
A quasilinear approximation allows to combine the structures self-consistently to form boundary layers. Going beyond the quasilinear approximation will then open up new approaches for controlling and manipulating boundary layers.

For more information, please contact Francesca Baldini by phone at 9518929808 or by email at [email protected].