David Montgomery
Department of Physics & Astronomy, Dartmouth College
April 28, 2005 Foothills Laboratory, Room 1001
Lecture 3:00pm
Twodimensional turbulence with material wall boundaries
Most theoreticallyoriented studies of turbulence in both two and three dimensions have been done either for infinite systems or with rectangular periodic boundary conditions enforced. However, many if not most turbulent fluids are turbulent because of what is done to them at their boundaries, where periodic boundary conditions are a poor representation.
The present work represents an effort to ask what changes occur in twodimensional turbulence when there are material wall boundaries at which either noslip or stressfree boundary conditions apply. In particular, circular and rectangular boundary conditions have been investigated, including some laboratory experiments on stratified quasitwo dimensional fluids. Several new features arise, such as the importance of net angular momentum (not welldefined for periodic boundaries) and the phenomenon of "spontaneous spinup."
The work also highlights some longunresolved mathematical issues, such as pressure determinations in incompressible, multidimensional,wallbounded flows.
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