Open AccessStudy of the stability of a thin liquid layer in the Landau–Levich problem
Author(s) -
A. V. Lyushnin,
K. A. Permyakova
Publication year - 2020
Publication title -
vestnik permskogo universiteta. seriâ, fizika
Language(s) - English
Resource type - Journals
ISSN - 1994-3598
DOI - 10.17072/1994-3598-2020-3-48-55
Subject(s) - van der waals force , stability (learning theory) , interphase , layer (electronics) , dispersion (optics) , physics , dispersion relation , thin layer , mechanics , materials science , condensed matter physics , computer science , nanotechnology , optics , quantum mechanics , molecule , machine learning , biology , genetics
The stability of the liquid layer in the Landay–Levich problem is theoretically investigated. The free energy of this layer is the sum of the dispersion (van der Waals) interaction and the specific electrical interaction caused by the presence of two electric layers at both interphase boundaries. In the framework of long-wave approximation, the stability of such a system with respect to perturbations is studied in the system of Navier–Stokes equations. A stability map is provided for different layer thicknesses.