Scott McCue - Numerical and analytical studies of Hele-Shaw flows
|Starts:||14:00 9 Oct 2019|
|Ends:||14:50 9 Oct 2019|
|What is it:||Seminar|
|Organiser:||Department of Mathematics|
|Who is it for:||University staff, External researchers, Current University students|
Scott McCue (Queensland University of Technology) joins us for the Physical Applied Mathematics Series.
Abstract: In this talk I shall discuss two studies of Hele-Shaw flow. In the first, I shall consider numerical simulations of viscous fingering experiments in a radial Hele-Shaw cell whose geometry and/or flow-rate is in some way different from the traditional configuration. In this context the motivation is to devise strategies for controlling the viscous fingering patterns and/or reducing the growth of the interfacial fingers. For example, I report on how imposing constant and time-dependent injection rates in a Hele-Shaw cell that is either standard, tapered or rotating can be used to reduce the development of viscous fingering when an inviscid fluid is injected into a viscous fluid over a finite time period. In another example, I illustrate how the number of non-splitting fingers can be controlled by injecting the inviscid fluid at a time-dependent rate while increasing the gap between the plates. In the second Hele-Shaw study in this talk, I will summarise how techniques in exponential asymptotics can be used to understand the formation of double-, triple- and multiply-tipped bubbles propagating steadily in a Hele-Shaw channel.
Travel and Contact Information
Frank Adams 1
Alan Turing Building