Bruce Podwal Seminar Series
Hydrodynamics of a poro-visco-elastic drop
immersed in a viscous fluid flow
Professor, Department of Mathematical Sciences
New Jersey Institute of Technology
12 – 1 pm, Thursday, April 4, 2019
Civil Engineering Department, Room 105, Steinman Hall
Light Lunch will be served
Absract: Fluid flow through a porous medium is often modeled as either Darcy flow or Brinkman flow with the assumption that the skeleton in the medium is fixed in both space and time. However, in some real world applications the skeleton is deformable with its own dynamic characteristics that may contribute to the hydrodynamics of flow through the skeleton. In this talk I will present a two-phase fluid (coarse-grained) description of a deformable visco-elastic network immersed in a viscous fluid as a model for a deformable porous medium. Focuses will be on the applications of this model to a simple, classic fluid mechanics problem: How does a drop deform under an imposed flow? I will review some well-known examples in fluid mechanics and draw detailed comparison to highlight the effects of visco-elastic skeleton on the fluid flow around the drop. Finally I will present results from numerical simulations of a poro-visco-elastic drop undergoing large deformations in a strong flow. Throughout the talk I will also put emphasis on the connections between the mathematics used in the work and the physics that underlie the model.
Biography: Yuan-Nan Young is a professor in applied math at New Jersey Institute of Technology. Trained as a fluid dynamicist in astrophysical and geophysical flows at the University of Chicago, he worked on instability and turbulence in stratified fluids for his PhD in astrophysics. After graduation in 2000, he focused on nonlinear pattern formation in fluid dynamics and has worked on interfacial flow and fluid-structure interactions at low Reynolds number in the biological context since 2004, when he joined NJIT as faculty in applied math. He has recently worked on complex flows that involve surfactant, fluid-elastic material interactions, electrokinetics and electrohydrodynamics. He also works on novel numerical schemes to simulate fluid-structure interactions. Motivated by biophysics, he uses simple examples to illustrate the possible roles of hydrodynamics in the context of biological fluids. Currently he has been working on flows in a deformable poroelastic medium, and active fluids enclosed by a deformable interface.