Stability of two-layer fluid flows with evaporation at the interface

On the Conditions for Existence of Unidirectional Motions of Binary Mixtures in the Oberbeck—Boussinesq Model

“…Inserting the representations (16) and (17) into (21) and splitting the resultant equalities with respect to x, we note that (1 + ψ)ϕ 1 = 0 and (1 + ψ)ϕ 3 (t) = 0; whence, in the case of ψ = −1, it follows that the velocity does not depend on y.…”

“…According to (3), the right-hand side of (22) taken with the opposite sign is the pressure gradient along the x-axis. Thus, only the coefficients at the first degree of x in (16) and (17) affect the motion of the liquid, as well as the function f (t) which can be called an additional pressure gradient.…”

Analysis of an Exact Solution of Problem of the Evaporative Convection (Review). Part I. Plane Case

“…In [17,[33][34][35][36][37][38]] the solution of the stationary problem was obtained at given gas flow rate…”

“…In [36] the linearized equations for the amplitudes of the normal disturbances of the basic solution, long-wave asymptotics of the eigenvalues and eigenfunctions were obtained. In [37,38] the spectrum of the characteristic perturbations of the velocity, temperature and concentration was calculated. Dependence of the type and structure of the perturbations on the system geometry, disturbance wave-length and intensity of external actions (temperature gradient on the channel walls and flow rate of the working media) was investigated.…”

Convective fluid flows in a horizontal channel with evaporation: analytical and experimental investigations

“…In [7] the results of the comparison of analytical data obtained using the exact solutions with experimental data are shown. The results of study of the stability of the two-layer flows with evaporation on the thermocapillary interface are presented in [9][10][11] (see also [12]). …”