#7453. Application of wiedeburg linearization for solving the stability problem of a two-layer mixture with concentration-dependent diffusion

October 2026publication date
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Journal’s subject area:
Ocean Engineering;
Applied Mathematics;
Computational Mechanics;
Computational Mathematics;
Mechanical Engineering;
Computational Theory and Mathematics;
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Abstract:
In this paper, we consider the problem of the stability of an isothermal system of two miscible fluids in a gravity field. Fluids are aqueous solutions of non-reacting substances with different diffusion coefficients. At the very beginning, the solutions uniformly fill half-spaces, which are separated from each other by an infinitely thin horizontal contact surface. Such a configuration can be easily realized experimentally, although it is more difficult for theoretical analysis.
Keywords:
Concentration-dependent diffusion; Double diffusion instability; Miscible liquids; Wiedeburg linearization

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