Levich Institute Seminar Announcement, 02/14/2012
Steinman Hall, Room #312
(Chemical Engineering Conference Room)
Dr. Carlos Colosqui
City College of CUNY
"High-Order Macroscopic Descriptions for Transport Phenomena "
Macroscopic equations for transport processes (mass/chemical/thermal) commonly employ constitutive relations; e.g. Fick’s diffusion, Newtonian Stress, Fourier conduction. These standard constitutive relations, allowing close form equations, are valid approximations near thermodynamic equilibrium. I will present a procedure to derive macroscopic equations starting from statistical physics descriptions of transport. The derived closed-form approximations mathematically describe non-Fickian diffusion and Non-Newtonian stress as the system departs from thermodynamic equilibrium. Different order approximations obtained with the presented procedure are applied to a prototypical diffusion problem (i.e. decay of sinusoidal wave) in far-from-equilibrium conditions. Analytical predictions are favorably compared to numerical simulations via lattice Boltzmann and Direct simulation Monte Carlo. Additionally, I will demonstrate the use of the derived models for the simulation of multiscale systems.
I joined the NSF-PREM program in January 2012. Previously, I held a postdoctoral appointment at the Chemical & Biological Engineering Department of Princeton University after receiving a PhD from Boston University.
CURRENT RESEARCH INTERESTS:
My interests include the theoretical and computational modeling of complex fluids and colloidal suspensions.