The effects of cross‐diffusion on the onset of convective instability in a horizontally unbounded, triply diffusive, and triply stratified fluid layer (triply cross‐diffusive fluid layer) are investigated. Analytical solutions are obtained for steady and oscillatory onset when imposed gradients of the stratifying agencies are constant and vertical. Numerical results are based on diffusivity data for the system water/potassium chloride/potassium phosphate/phosphoric acid solution. Depending on the magnitude of the stratifying agencies, linear stability analysis shows that cross‐diffusion can either stabilize or destabilize a fluid layer. The off‐diagonal elements of the diffusivity matrix, which arise naturally as a result of the coupling among the various stratifying agencies, may strongly affect boundaries of convective stability and neutral curves. Discrepancies in the linear stability criteria were observed for seemingly negligible off‐diagonal elements of the diffusivity matrix.
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September 1993
This content was originally published in
Physics of Fluids A: Fluid Dynamics
Research Article|
September 01 1993
Cross‐diffusion effects on the stability criteria in a triply diffusive system
Guillermo Terrones
Guillermo Terrones
Analytic Sciences Department, Battelle Pacific Northwest Laboratories, Richland, Washington 99352
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Phys. Fluids 5, 2172–2182 (1993)
Article history
Received:
October 19 1992
Accepted:
May 04 1993
Citation
Guillermo Terrones; Cross‐diffusion effects on the stability criteria in a triply diffusive system. Phys. Fluids 1 September 1993; 5 (9): 2172–2182. https://doi.org/10.1063/1.858556
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