Other
Scientific paper
Aug 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000phdt.........5y&link_type=abstract
Thesis (PhD). THE UNIVERSITY OF CHICAGO, Source DAI-B 61/02, p. 894, Aug 2000, 106 pages.
Other
7
Scientific paper
Slot convection refers to buoyantly driven flow due to the lateral temperature difference. In double-diffusive slot convection the destabilizing temperature gradient (transverse to the gravitational direction) is competing with a stabilizing concentration gradient. For suitable combination of physical parameters, layers form as a result of buoyancy balance between the lateral thermal difference and the stabilizing concentration gradient. In chapter 2, we directly simulate this system using a two- dimensional pseudospectral code. Incompressibility is achieved by the consistent implementation of the tau- correction. We find that layer dynamics depends on the particulars of the imposed boundary conditions for the temperature at the sidewalls and the density stratification ratio (the relative strength of the stabilizing solute gradient to the destabilizing horizontal thermal difference). We demonstrate the effects of the density stratification ratio on the layer dynamics for the constant sidewall temperature case, and we also study the case of constant lateral heat flux in order to understand the effects of the temperature boundary conditions. We apply the argument for layering in turbulent stratified fluids to our problem, and find-despite the tilted nature of cell boundaries in our case-similarities in both the averaged equations and actual layer evolution. Finally, we provide details for both edge mergers and interior mergers. In chapter 3, we investigate the miscible Rayleigh-Taylor (RT) instability in both 2 and 3 dimensions using direct numerical simulations, where the working fluid is assumed incompressible under the Boussinesq approximation. With a variety of diagnostics, we develop a physical picture for the detailed temporal development of the mixed layer: We identify three distinct evolutionary phases in the development of the mixed layer. Our analysis provides an explanation for the observed differences between two and three-dimensional RT instability; the analysis also leads us to concentrate on the RT models which (1)work equally well for both laminar and turbulent flows, and (2)do not depend on turbulent scaling within the mixing layer between fluids. These candidate RT models are based on point sources within bubbles (or plumes) and interaction with each other (or the background flow). With this motivation, we examine the evolution of single plumes, and relate our numerical results (of single plumes) to a simple analytical model for plume evolution.
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