Back to Colloquia
Physics Colloquium - Monday, Feb. 2nd, 2009,
4:00 P.M. E300 Math/Science
Center; Refreshments at 3:30 P.M. in
Room E200
Hepeng Zhang
Center for Nonlinear Dynamics
University of Texas at Austin
Resonant generation of internal waves on a model continental slope
Away from shallow, well-mixed surface regions, the density of sea
water increases with depth due to variation in salinity and
temperature. This continuous density stratification supports
internal gravity waves, which are the counterpart within the
fluid interior of surface gravity waves. Internal gravity waves
are important for many oceanic processes, such as sediment
transportation and ocean mixing.
We study internal wave generation in a laboratory model of
oscillating tidal flow on a continental margin. Waves are found
to be generated only in a near-critical region where the slope of
the bottom topography matches that of internal waves. Fluid
motion with a velocity an order of magnitude larger than that of
the forcing occurs within a thin boundary layer above the bottom
surface. The resonant wave is unstable because of strong shear;
Kelvin-Helmholtz billows precede wave breaking. We construct a
model to extrapolate our results to oceanic conditions. Our work
provides a new explanation for the intense boundary flows
frequently observed on continental slopes, which may play a role
in shaping global continental shelf.
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