Single-mode theory of diffusive layers in thermohaline convection

Statistics – Computation

Scientific paper

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Computational Fluid Dynamics, Flow Stability, Free Convection, Salinity, Thermal Boundary Layer, Thermal Diffusivity, Approximation, Asymptotic Methods, Boundary Layer Equations, Flow Velocity, Heat Flux, Modal Response, Temperature Effects

Scientific paper

A two-layer configuration of thermohaline convection is studied, with the principal aim of explaining the observed independence of the buoyancy-flux ratio on the stability parameter when the latter is large. Temperature is destabilizing and salinity is stabilizing, so diffusive interfaces separate the convecting layers. The convection is treated in the single-mode approximation, with a prescribed horizontal planform and wavenumber. Surveys of numerical solutions are presented for a selection of Rayleigh numbers R, stability parameters lambda and horizontal wavenumbers. The solutions yield a buoyancy flux ratio chi that is insensitive to lambda, in accord with laboratory experiments. However chi increases with increasing R, in contradiction to laboratory observations.

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