CSUF Applied Mathematics Seminar

The CSUF Applied Mathematics Seminar features speakers in applied mathematics and related areas.

Organizers :


Spring 2023 Schedule:

  • Friday, March 24 in MH 480 from 11AM-Noon

Manipulating Transport Properties

of Passive Tracers in Fluid Channels via Cross Section

Dr. Manuchehr Aminian, CSU Pomona

Traditionally, theory developed for dispersion of a solute in a
fluid flow has focused on predicting enhanced diffusion which can be
observed, even with smooth fluid flow. A distribution will appear to
spread much more rapidly than could be explained as the result of
molecular diffusion alone, and decades of theory have been
developed to successfully explain this. In our prior work, we
developed asymptotic theory which predicts not only spread
(variance), but also the sign differences in the distribution's skewness
depending on cross section. This theory has had success matching
with both experiment and numerical simulation.
I will introduce the setting with these past results, then present
a computational framework to extend this work past idealized cross
sections and explore some questions in shape optimization towards
more precise control of the tracer distribution, exploring the ability to
design channels to match a given specification.