Join us in welcoming Hangjie Ji, assistant professor from NC State’s Department of Mathematics, as she discusses the modeling, analysis and control of droplet dynamics. Alums and friends of the program are always welcome.
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Thin liquid films flowing down vertical fibers spontaneously exhibit complex interfacial dynamics, leading to irregular wavy patterns and traveling liquid droplets. Such droplet dynamics are fundamental components in many engineering applications, including mass and heat exchangers for thermal desalination, as well as water vapor and particle capture. Recent experiments demonstrate that critical flow regime transitions can be triggered by varying inlet geometries and external fields. Similar interacting droplet dynamics have also been observed on hydrophobic substrates, arising from interfacial instabilities in volatile liquid films. In this talk, I will introduce lubrication theory, weighted residual models, and dynamical system models for droplet dynamics. I will also present our recent results on developing optimal boundary control and mean-field control for droplet dynamics.
Hangjie Ji is an Assistant Professor in mathematics at North Carolina State University. Before coming to NC State, she was an Assistant Adjunct Professor for the Program in Computing at UCLA Department of Mathematics. She completed her Ph.D. in Mathematics at Duke University in 2017. Her research interests lie in nonlinear partial differential equations, scientific computing, and data-driven mathematical modeling, with a focus on their applications in physics, engineering, and medicine.
