Mixing-length analysis of Rayleigh-Bénard convection in the presence of a shear

Computer Science

Scientific paper

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Rayleigh-Benard Convection, Shear

Scientific paper

According to linearized perturbation theory, an externally implied low-amplitude horizontal plane Couette shear distorts the streamlines of convective cells. This augments the eddy vorticity. Within the framework of the mixing-length formalism in which turbulent convective eddies grow according to linearized theory and are subsequently broken up by internal shear instability, there is a consequent reduction in the mean amplitude of the eddy motion, and a corresponding reduction in the heat flux. In its simplest form, the generalization of the formalism requires the introduction of no new parameters. Consequently, the reduction in the heat flux predicted can be compared with experiment to provide an additional calibration of the formalism.

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