Abstract
We consider the interfacial motion between two immiscible viscous fluids in the confined geometry of a radial Hele-Shaw cell. In this framework, we investigate the influence of a thin wetting film trailing behind the displaced fluid on the linear and weakly nonlinear dynamics of the system. More specifically, we examine how the interface instability and the pattern formation mechanisms of finger tip splitting and finger competition are affected by the presence of such a film in the low capillary number limit. Our theoretical analysis is carried out by employing a mode-coupling theory, which allows analytic assess to wetting-induced changes in pattern morphology at the onset of nonlinearities.
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.
