Modeling an Elastic Fingering Instability in a Reactive Hele-Shaw flow

Many physical problems involve moving interfaces. Two fluids meet in a Hele-Shaw cell at the interface with the Laplace-Young condition, which a classical model satisfies. The boundary condition is the difference in the pressure due to the surface tension and the mean curvature. A complexity will arise with a different boundary condition. We consider the interface an elastic membrane with a bending rigidity, a function of the local curvature. We have categorized several types of instabilities and showed some study parameters. We also used some numerical results to compare them with linear analysis.

Event Topic

Stochastic & Multiscale Modeling and Computation