TY - JOUR

T1 - Linear stability of the flat liquid/liquid interface in the forced flow

AU - Titova, Ekaterina A.

AU - Alexandrov, Dmitri V.

N1 - This study was financially supported by the Russian Science Foundation (project no. 21-71-00044).

PY - 2023

Y1 - 2023

N2 - 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. © 2023, The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature.

AB - 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. © 2023, The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature.

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U2 - 10.1140/epjs/s11734-023-00822-8

DO - 10.1140/epjs/s11734-023-00822-8

M3 - Article

VL - 232

SP - 1141

EP - 1146

JO - European Physical Journal: Special Topics

JF - European Physical Journal: Special Topics

SN - 1951-6355

IS - 8

ER -