PHYSICAL MATHEMATICS SEMINAR TOPIC: CHARACTERIZING THE DYNAMICAL REGIMES OF A LAKE SPEAKER: JORG IMBERGER Centre for Water Research University of Western Australia ABSTRACT: The understanding of lake hydrodynamics has made much progress in the last twenty years and a broad, holistic overview now exists. However, it is still difficult for the general limnological and hydraulic practitioner to gain a quantitative description of the hydrodynamical regimes active in a particular lake at a particular time. Such an overview is important because the mixing and transport processes operating in a lake determine, to a large degree, the ecological response of the lake to meteorological forcing, inflows and outflows. In the field of hydraulics a well established methodology exists, based on the Reynolds and Froude numbers, which allows characterization of flows into laminar or turbulent and super or sub-critical. Once classified in this way, many attributes of the flow immediately follow. In this talk I attempt to provide an analogous first order methodology that will allow the practitioner to classify the hydrodynamic regimes operating in a lake. Such a classification scheme should allow the limnologist to put his or her ecological data into an appropriate physical context. I define eight non-dimensional numbers and illustrate the dynamical regimes quantified by their magnitude. These are surface layer stratification patterns, metalimnetic upwelling, hypolimnetic upwelling, mixing in the lake's interior and the benthic boundary layer, the influence of the earth's rotation, exchange of littoral water, occurrence of high frequency internal waves, resuspension of bottom sediments, inflow characteristics and outflow selectivity. DATE: TUESDAY, DECEMBER 4, 2001 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