Linear stability of the flat liquid/liquid interface in the forced flow
Laboratory of Mathematical Modeling of Physical and Chemical Processes in Multiphase Media, Laboratory of Stochastic Transport of Nanoparticles in Living Systems, Ural Federal University, Lenin Ave., 51, 620000, Ekaterinburg, Russian Federation
2 Laboratory of Multi-Scale Mathematical Modeling, Laboratory of Stochastic Transport of Nanoparticles in Living Systems, Department of Theoretical and Mathematical Physics, Ural Federal University, Lenin Ave., 51, 620000, Ekaterinburg, Russian Federation
Accepted: 21 March 2023
Published online: 13 April 2023
The boundary integral equation with convection is derived for the symmetric Langer and Turski phase transformation model (Langer in Acta Metall 25:1113–1119, 1977). A linear morphological stability of the planar interface in the moving melt is studied. The stationary solution, dispersion relation and neutral stability surface are obtained using the perturbation theory. The present theory extends the theory by Langer and Turski with allowance for the plane-parallel flow of one liquid relative to another one.
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