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flow pass a cylinder with Reynolds number 200. The simulation was done using the augmented immersed interface method.
Differential Equations Seminar
Upcoming Events

Wednesday, October 26, 2016 at 3:00 PM in SAS 4201
Daniel M. Harris, UNC Mathematics Department
Tailoring tails in Taylor dispersion: How boundaries shape chemical delivery in microfluidics

We present the results of an investigation of the dispersion of a passive scalar in laminar shear flow through rectangular and elliptical channels. We show through Monte Carlo simulations, asymptotic analysis, and laboratory experiments that the cross-sectional aspect ratio of the channel sets the longitudinal asymmetry of the resulting tracer distribution at long times. Thin channels (aspect ratio << 1) generate distributions with sharp fronts and tapering tails, whereas thick channels (aspect ratio ~ 1) produce the opposite effect. In addition, our analysis allows us to define a golden aspect ratio which separates thin from thick channels, the value of which is remarkably similar for both the rectangular ducts and the elliptical pipes. Our findings could potentially be useful in a number of microfluidic applications, some of which will be discussed.

This work is joint with Manuchehr Aminian, Francesca Bernardi, Roberto Camassa, and Rich McLaughlin of the UNC Joint Fluids Lab.

Wednesday, November 16, 2016 at 3:00 PM in SAS 4201
James Nolen, Duke University


Thursday, November 17, 2016 at 3:00 PM in SAS 4201
Tuoc Phan, University of Tennessee


2006 - Today

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