Transport Out of a Gravitationally Stable Layer with the Help of a Faster Diffusing Substance: PDE Simulations and Scaling Laws
Hydrodynamic equations of an incompressible fluid with two dissolved substances are integrated to simulate previously reported observations of double diffusive convection. These observations had been performed in a setup that is extremely easy to implement and to observe: a layer consisting of a mixture of a surfactant, glycerine and water is placed below water; fingers arising at the interface transport the surfactant upwards. The calculated mean distance between fingers, as well as their emergence time, both as functions of the initial concentration of glycerine, are described by power laws. These results are in agreement with analytical approximations and with the experimental observations.
KeywordsLower Layer Incompressible Fluid Stable Layer Double Diffusive Convection Step Profile
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