Professor Matthias Heil,
\nUniversity of Manchester, United Kingdom
\n
will give the lecture
\n"Wrinkly fingers" - fluid-structure interaction
\nin elastic-walled Hele-Shaw cells
Abstract:
\n
When air is injected into the narrow, liquid-filled gap between parallel rigid plates, the axisymmetrically expanding air-liquid interface tends to be unstable to non-axisym-metric perturbations. During their subsequent growth the perturbations undergo a cascade of tip-splitting instabilities which result in the development of beautiful dendritic fingering patterns.
\n
\nRecent work in Manchester has shown that this widely studied classical fluid-mecha-nical instability can be weakened or even suppressed by the introduction of wall elasticity via the replacement of one of the bounding plates by an elastic membrane.
\n
\nIn this talk I will first explain how fluid-structure interaction weakens/suppresses the (fluid-based) fingering instability, and then demonstrate that the presence of wall elasticity can induce a second (solid-based) wrinkling instability. In certain parameter regimes, both instabilities can arise concurrently. This leads to complex interactions between the fluid and solid mechanics and results in the formation of ``wrinkly fingers”.
Professor Matthias Heil,
\nUniversity of Manchester, United Kingdom
\n
will give the lecture
\n"Wrinkly fingers" - fluid-structure interaction
\nin elastic-walled Hele-Shaw cells
Abstract:
\n
When air is injected into the narrow, liquid-filled gap between parallel rigid plates, the axisymmetrically expanding air-liquid interface tends to be unstable to non-axisym-metric perturbations. During their subsequent growth the perturbations undergo a cascade of tip-splitting instabilities which result in the development of beautiful dendritic fingering patterns.
\n
\nRecent work in Manchester has shown that this widely studied classical fluid-mecha-nical instability can be weakened or even suppressed by the introduction of wall elasticity via the replacement of one of the bounding plates by an elastic membrane.
\n
\nIn this talk I will first explain how fluid-structure interaction weakens/suppresses the (fluid-based) fingering instability, and then demonstrate that the presence of wall elasticity can induce a second (solid-based) wrinkling instability. In certain parameter regimes, both instabilities can arise concurrently. This leads to complex interactions between the fluid and solid mechanics and results in the formation of ``wrinkly fingers”.