The non-stationary thermocapillary convection induced by the local thermal load in a two-
phase system is studied on the basis of the Navier–Stokes equations in the Boussinesq …

In this work, we develop a mathematical model of buoyancy-driven mass transfer in an
aqueous alkali solution filling a Hele-Shaw cell. The upper boundary of the layer is free and …

Heat and mass transfer in a bilayer system of viscous incompressible liquids with interfaces
have been studied theoretically and experimentally. Thermocapillary convection and …

The nonlinear dynamics of gravity-driven two-layers flow through an oblique microchannel
of porous walls subjected to an external electric potential is examined. The evolution …

The problem of thermocapillary convection under the conditions of weak evaporation in a
plane confined volume is studied. The mathematical model to investigate the processes of …

The analytical solution of the Initial Value Problem (IVP) and the Boundary Value Problem
(BVP) is an essential issue in numerous engineering applications. However, it cannot …

In this article we consider impact of vertical vibration on longwave Marangoni convection in
a thin layer heated from below. The thermal conductivity of the lower solid boundary is …

Aiming at the thermocapillary convection stability of sapphire crystal grown by liquid-
encapsulated Czochralski method, by non-linear numerical simulation, obtained the flow …

The mathematical model for simulating of the dynamics of bilayer system subjected to local
thermal exposure is supposed. The model implies the occurrence of phase transition in the …

Numerical simulation of the dynamics of a locally heated two-layer system with the
deformable interface is carried out. The system is subjected to local thermal exposure due to …