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Explore the mathematical modeling and computational simulation of viscous fingering phenomena in electro-osmotic flows through this 50-minute conference talk by John Lowengrub from the University of California, Irvine. Delve into the Saffman-Taylor instability, a well-studied hydrodynamic instability that occurs when a fluid displaces another of higher viscosity in a Hele-Shaw cell, creating intricate interfacial patterns through the interplay of viscous and surface tension forces. Examine how external electric fields generating electro-osmotic flows can significantly influence patterning morphologies, with positive currents restraining shape ramification and promoting pattern stabilization, while negative currents increase interface instability and promote ramification. Discover the various mechanisms developed to influence patterning dynamics, including manipulation of Hele-Shaw cell geometry, elastic-walled cells, and time-dependent injection fluxes and gap widths. Learn how electro-osmotic flows can either oppose or assist pressure-driven flow, and understand the rich physics behind multi-field driven interfacial dynamics. Gain insights into this cutting-edge research that opens pathways for future explorations in electrochemical modeling and stochastic systems, presented at IPAM's Embracing Stochasticity in Electrochemical Modeling Workshop.
