Abstract
To estimate the total amount of adsorbed surfactants onto the surface of a single rising bubble, the Navier-Stokes equation, the convection-diffusion and the surface-diffusion equations of the surfactants were numerically solved at the steady state and the effects of the Reynolds number (Re) and the bulk concentration of the surfactants on the surface concentration distribution were investigated. The results reveal that the surface concentration of the surfactants at the top of the bubble is lower than that at the bottom and the difference between them increases as the Re increases or the bulk concentration of the surfactants decreases. The critical Re (Rec) can be estimated for the bubble to behave as a solid particle and the averaged concentration of surfactants coincide with the equilibrium concentration corresponding to a zero net adsorption-desorption flux for Re<Rec.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B
Disclaimer: 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.