PHYSICAL MATHEMATICS SEMINAR
TOPIC: Borders of Disorder:
in Turbulent Channel Flow
SPEAKER: WILLEM V.R. MALKUS
Department of Mathematics
Massachusetts Institute of Technology
ABSTRACT:
A quantitative theory of the average features of turbulent flow in a
channel is described without the introduction of empirical parameters.
The critical elements herein include, first, from the Navier--Stokes
equations, the determination of statistical stability conditions, which
delimit the dissipation rate of the fluctuating fields, and second, a
time--dependent stability study determining the properties turbulent
boundary layer.
The velocity fields satisfying these conditions, the averaged equations
and the boundary conditions uniquely determine a mean velocity profile
with a logarithmic layer, and the velocity defect observed in the interior
of the flow, well within ten percent of the data. Computer confirmation
of the several asymptotic estimates of the critical boundary
eigenstructure can establish the limits of validity of the theory.
DATE: TUESDAY, APRIL 23, 2002
TIME: 2:30 PM
LOCATION: Building 2, Room 338
Refreshments will be served at 3:30 PM in Room 2-349
Massachusetts Institute of Technology
Department of Mathematics
Cambridge, MA 02139