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Copyright Brian J. Kirby. With questions, contact Prof. Kirby here. This material may not be distributed without the author's consent. When linking to these pages, please use the URL http://www.kirbyresearch.com/textbook.

This web posting is a draft, abridged version of the Cambridge University Press text. Follow the links to buy at Cambridge or Amazon or Powell's or Barnes and Noble. Contact Prof. Kirby here. Click here for the most recent version of the errata for the print version.

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Jump To: [Kinematics] [Couette/Poiseuille Flow] [Fluid Circuits] [Mixing] [Electrodynamics] [Electroosmosis] [Potential Flow] [Stokes Flow] [Debye Layer] [Zeta Potential] [Species Transport] [Separations] [Particle Electrophoresis] [DNA] [Nanofluidics] [Induced-Charge Effects] [DEP] [Solution Chemistry]

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12.9 Exercises [microchip separations top]

Plot species distributions using Equation 12.5 for several times ranging from t = 0 to t = 60s. Normalize your plots so that they are independent of the total amount of species. Assume there is no electroosmotic flow and the initial width Δ = 20μm. Assume the species is a protein with a valence of 2 and a diffusivity of D = 1×10^-11m²∕s and an electric field of 100V∕cm is applied. Note that the Nernst-Einstein equation (Equation 11.28) will be useful.
Repeat the previous exercise using Equation 12.6 and considering the case where the sample bolus is inserted into the middle of a planar (i.e., 2-D) microchannel electrokinetic pump with μ_EO = 1×10^-4m²∕Vs and channel height d = 10μm.
Most exercises are excluded from this web posting. Follow the links to buy the text at Cambridge or Amazon or Powell's or Barnes and Noble.

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Copyright Brian J. Kirby. Please contact Prof. Kirby here with questions or corrections. This material may not be distributed without the author's consent. When linking to these pages, please use the URL http://www.kirbyresearch.com/textbook.