Mustafa Sabri Kilic

Doctoral Candidate
Department of Mathematics
Massachusetts Institute of Technology

Room 2-486, 77 Massachusetts Avenue
Cambridge MA 02139
Tel: 617 253 4098

E-mail: mskilic at mit dot edu

Current Research:

I am working with Professor Martin Bazant on Nonlinear Theory of Electrochemical Systems. More specifically, we are currently investigating finite size effects (steric effects) in electrochemical systems. There has been numerous attempts in the literature to incorporate steric effects into the standard models. However, most of them are complicated and not analytically tractable, thus rendering a parametric study next to impossible. Our work focuses on the qualitative effects, meaining that we are working on an improvement of the standard models of the electrochemistry while trying to remain as simple as possible, but not simpler. One such model is due to Kralj-Iglic and Iglic(1996). Under the light of such models, we investigate the basic quantities of electrochemistry such as double-layer capacitance and salt adsorption. Steric effects imply a non-monotonic surface capacitance and reduced salt adsorption.

These conclusions may be used to construct a nonlinear electrokinetic theory which explains the high frequency flow reversal and high concentration flow saturation observed in experiments, although it seems hard to explain both of those effects with the same model. This would be the first nonlinear electrokinetics theory which outdoes the linear theory. Such a theory would be useful in the optimization of microfluidics devices. Also, understanding the flow saturations in high concentrations is important and if we could find a way to eliminate it, this would lead to use of electrokinetics pumps in biological applications.
For references, please see publications below.

Publications:

1. M.Z. Bazant, M.S. Kilic, B.D. Storey, A. Ajdari, Nonlinear Electrokinetics at High Voltages, submitted to Phys. Rev. Lett. [PDF]
2. M. S. Kilic, M. Z. Bazant and A. Ajdari, Steric Effects in Dynamics of Electrolytes I: Double-layer Charging, in press, Phys. Rev E, 75,1,034702 (2007). [PDF]
3. M. S. Kilic, M. Z. Bazant and A. Ajdari, Steric Effects in Dynamics of Electrolytes II: Modified Poisson-Nernst-Planck Equations, Phys. Rev E, 75,1,034702 (2007). [PDF]
4. M. Z. Bazant, J. P. Urbanski, J. A. Levitan, K. Subramanian, M. S. Kilic, A. Jones, and T. Thorsen, Electrolyte dependence of AC electro-osmosis, Proceedings of microTAS, Paris (2007). [PDF]
5. B.D. Storey, L.R. Edwards, M.S. Kilic, M.Z.Bazant, Steric effects as a possible mechanism for flow reversal in AC electro-osmotic pumps, Phys. Rev. E 77, 036317 (2008). [PDF]
6. M.S. Kilic, and M.Z. Bazant, Wall effects in induced charge electrophoresis, preprint.
7. M. S. Kilic, G. B. Jacobs, J. S. Hesthaven & G. Haller, Reduced Navier-Stokes equations Near a Flow Boundary, Physica D (2006) 217 (2006) 161-185. [PDF]
8. M. S. Kilic, G. Haller & A. Neishtadt, Unsteady flow separation by the method of averaging, Phys. Fluids 17 (2005) 067104 [PDF]


Dissertation: Nonlinear Electrokinetics At Large Voltages [PDF]

TAship and Grading:

Spring 2006 18.03 Differential Equations
Recitation Leader
IAP 2006 18.095 Mathematics Lecture Series
Teaching Asistant and Grader
Fall 2005 18.01 Calculus
Recitation Instructor and Course Administrator
Spring 2005 18.03 Differential Equations
I held the recitation#12 with about 20 students
Fall 2004 18.305 Advanced Analytical Methods for Science&Engineering
Teaching Asistant and Grader.

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