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Onset of solutal marangoni convection in a suddenly desorbing liquid layer
Author(s) -
Kang Kyoung H.,
Choi Chang K.,
Hwang In G.
Publication year - 2000
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690460104
Subject(s) - biot number , marangoni effect , surface tension , convection , thermodynamics , chemistry , desorption , diffusion , mechanics , jet (fluid) , adsorption , physics
The onset of surface‐tension‐driven convection in an initially quiescent liquid layer experiencing sudden desorption from a free surface is analyzed using the linear stability theory. The propagation theory was developed for the basic time‐dependent concentration profile, which is strongly nonlinear. Based on this theory, a new set of stability equations is derived in considering the effect of Gibbs adsorption and by neglecting the surface diffusion. It is found that the liquid layer becomes more stable by decreasing the Schmidt and Biot numbers. It is interesting that, during an initial period, the system is stable, depending on the Gibbs effect. The predictions agree favorably with the existing experimental results of triethylamine desorption in water in a wetted‐wall and a liquid‐jet column.