Abstract
We carry out a bifurcation analysis of the deformational mode of oscillatory Marangoni instability emerging in a heated layer of surfactant solution in the presence of the Soret effect and surfactant sorption at the free surface. The analysis is based on a set of long-wave evolution equations derived in our earlier work. By means of weakly nonlinear expansions about the instability threshold, we access the stability of a variety of convective patterns including single traveling and standing waves, superpositions of two traveling and two standing waves, and superpositions of three traveling waves. We have found that stability of convective patterns depends strongly on surfactant sorption; in particular, when adsorption is sufficiently strong the bifurcation is subcritical for any physically feasible value of system parameters.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
