Abstract
General differential equations governing the shape of the film formed between two bubbles of different radii and surface properties are derived using the lubrication approximation. The role of a soluble surfactant with diffusion-controlled surfactant transfer onto the surface is analysed. Analytical solutions are obtained for the limiting cases of small and large deformations of the bubbles' caps. Results of previous investigators are also obtained under appropriate limiting conditions. The results are in qualitative agreement with the available experimental data.
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.
