Abstract
We investigate the long-wave Marangoni instability in binary-liquid layers in the presence of the Soret effect in the case of finite Biot numbers. Linear stability theory reveals both long-wave monotonic and oscillatory modes of instability in various parameter domains. A set of nonlinear evolution equations governing the spatiotemporal dynamics of a thin binary-liquid film is derived. Based on this set of equations, weakly nonlinear analysis is carried out. Selection of stable supercritical patterns is investigated in the limit of low gravity. Various parameter domains are examined in which supercritical standing and traveling waves are found. Stability of superposed two-wave traveling solutions is also investigated.
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.
