Physics
Scientific paper
Nov 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978rspsa.363..195d&link_type=abstract
Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences, vol. 363, no. 1713, Nov. 1, 1978, p. 195-215
Physics
4
Benard Cells, Centrifugal Force, Convective Flow, Flow Stability, Rotating Fluids, Two Dimensional Flow, Angular Velocity, Aspect Ratio, Boundary Value Problems, Nonlinear Equations, Prandtl Number, Rayleigh Number
Scientific paper
A theoretical study is presented of the effect of rotation, measured by the Taylor number, on two-dimensional Benard convection between horizontal stress-free boundaries which are maintained at different constant temperatures. The fluid is confined laterally by rigid sidewalls which are assumed to be only approximately insulating, the possibility of small lateral heat losses (observed experimentally) being incorporated into the theory. A weakly nonlinear theory based on the method of multiple scales is developed to describe the motion for slightly supercritical Rayleigh numbers and large aspect ratios, though the results are also valid for finite values of aspect ratio if the speed of rotation is large.
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