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Double-diffusive interleaving due to horizontal gradients. (English) Zbl 0566.76031

The author presents a linear stability analysis for an unbounded vertically stratified fluid with compensating horizontal temperature and salinity gradients, so there is no horizontal density gradient. The most unstable perturbation for given linear horizontal and vertical gradients is obtained, and the growth rates, the vertical length scale of the intrusion and its slope to the horizontal are calculated. It is shown that the system is most unstable to two-dimensional disturbances and that, apart for a small region in which the temperature stratification is unstable and the salinity stratification is stable, the most unstable disturbance is non-oscillatory. The author also obtains a solution to the fully nonlinear equations and calculates the fluxes of heat and salt, thereby describing in detail the early stages of interleaving and shows why salt-finger and diffusive interfaces appear.
Reviewer: J.Burbea

MSC:

76E15 Absolute and convective instability and stability in hydrodynamic stability
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