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 Laplace-Young condition satisfied is a classical model. The boundary condition is the difference of the pressure is due to the surface tension and the mean curvature. A complexity will arise with a different boundary condition. We consider the interface to be an elastic membrane with a bending rigidity , a function of the local curvature. We have categorized several types of instabilities and showed some parameters study. And also we do some numerical results to compare with linear analysis.

Event Topic

Stochastic & Multiscale Modeling and Computation