ps10 - Massachusetts Institute of Technology Department of...

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Massachusetts Institute of Technology Department of Biological Engineering Department of Mechanical Engineering Department of Electrical Engineering and Computer Science 20.330J/2.793J/6.023J/ Fields, Forces and Flows in Biological Systems, Spring 2007 Problem Set #10. Issued: May 4 th (Friday) D u e d a t e : M a y 1 1 th (Friday) Problem 1: Electrokinetic Pumping (40 points) Consider a glass capillary, with length L and the inner radius R, connecting the two electrolyte reservoirs. The cathode, as shown in the figure below, is contained within a closed container, tightly sealed. The anode is immersed within the reservoir facing the atmospheric pressure. The glass surface of the capillary has negative surface charges that can be characterized by the (negative) zeta potential ζ . An electric potential is applied between the two electrodes. Debye length is κ -1 , and the viscosity and dielectric constant are ε and μ , respectively. Ignore electrolysis at the electrodes, and assume that κ R>>1. + -
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This note was uploaded on 11/11/2011 for the course BIO 2.797j taught by Professor Matthewlang during the Fall '06 term at MIT.

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ps10 - Massachusetts Institute of Technology Department of...

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