Nonlinear double-diffusive convection in a low Prandtl number fluid

Details Nonlinear double-diffusive convection in a low Prandtl number fluid Nonlinear double-diffusive convection in a low Prandtl number fluid

Mar 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980aujph..33...59r&link_type=abstract

Australian Journal of Physics, vol. 33, Mar. 1980, p. 59-71. NSF-supported research.

Physics

Benard Cells, Boundary Layer Equations, Convective Flow, Diffusion Theory, Integral Equations, Nonlinear Systems, Prandtl Number, Solutes

Scientific paper

The modal equations of cellular convection are used to examine nonlinear double-diffusive convection. The boundary layer method is used by assuming a large Rayleigh number R for a fluid of low Prandtl number sigma and different ranges of the diffusivity ratio tau and the solute Rayleigh number R(s). The heat and solute fluxes are found to increase with (R)(sigma) and decrease with R(s). The effect of the solute is stabilizing, although the convection in a fluid with large sigma is less affected by the solute concentration. The flow is shown to have a solute layer which thickens as sigma, R, tau to the -1 power, or R(s) to the -1 power decreases. It is shown that it is only for this layer that the solute affects the boundary layer structure.

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