LONG-WAVE MARANGONI INSTABILITY IN BINARY-LIQUID FILMS WITH SORET EFFECT

摘要

We study the onset of Marangoni instability of the quiescent equilibrium in a binary liquid film in the presence of Soret effect. Linear stability analysis shows that both monotonic and oscillatory long-wave instabilities are possible depending on the value of the Soret number x. Sets of long-wave nonlinear evolution equations are derived for both types of instability. Bifurcation analyses are carried out for both types of instability.