S. V. Gerasimov, E. I. Mogilevskii, V. P. Shkadova, “Effect of evaporation and diffusion of a surface-active substance on the instability of a falling liquid film”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, Number 2,Pages <nobr>33

Mechanics

Effect of evaporation and diffusion of a surface-active substance on the instability of a falling liquid film

S. V. Gerasimov^a, E. I. Mogilevskii^a, V. P. Shkadova^b

^a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b Lomonosov Moscow State University, Institute of Mechanics

Abstract: The linear stability of a flowing-down film of a surface-active solute in the region of active evaporation is analyzed. The phase velocities and the gain coefficients are calculated for the hydrodynamic and diffusion modes of disturbances.

Key words: flowing-down film, surface-active solute, hydrodynamic instability, Marangoni effect.

UDC: 532.69

Received: 14.05.2012