Research

Undegraduate Research Opportunity

I am currently looking for an undergraduate researcher to work on an applied math problem in fluid mechanics. Students should have strong communication skills, programming skills, and experience with differential equations. This is an interdisciplary project for Purdue students in math, engineering, physics, or computer science. You do not need to have previous research experience.

If you are interested in using applied math to model real world problems in microfluidics, please email me and include:

an unofficial transcript
your CV or resume
your programming experience (including specific languages) and other relevant experience

This opportunity is now closed. Thank you for your consideration.

Code:

Matlab code for the inertial lift force on a particle in rectangular channels with aspect ratios AR = 1, 2, 4, 8, and 9 available on github.

Mathematica code for computing Lamb's solution external to a sphere also available on github.

Inertial migration in microfluidic devices

To understand the flow in inertial microfluidic devices, I developed a hybrid numerical and asymptotic model for the inertial migration of a sphere in a rectangular channel. That model showed excellent agreement with observed data. And I used it to develop a model of pairwise dynamics in microfluidic crystals.

Flow past hairy surfaces

To understand how marine crustaceans use their hairy appendages for sensing and feeding, I modeled the flow past hairy surfaces.