Document Detail

The nonlinear electromigration of analytes into confined spaces.
MedLine Citation:
PMID:  22977354     Owner:  NLM     Status:  Publisher    
We consider the problem of electromigration of a sample ion (analyte) within a uniform background electrolyte when the confining channel undergoes a sudden contraction. One example of such a situation arises in microfluidics in the electrokinetic injection of the analyte into a micro-capillary from a reservoir of much larger size. Here, the sample concentration propagates as a wave driven by the electric field. The dynamics is governed by the Nerst-Planck-Poisson system of equations for ionic transport. A reduced one-dimensional nonlinear equation, describing the evolution of the sample concentration, is derived. We integrate this equation numerically to obtain the evolution of the wave shape and determine how the injected mass depends on the sample concentration in the reservoir. It is shown that due to the nonlinear coupling of the ionic concentrations and the electric field, the concentration of the injected sample could be substantially less than the concentration of the sample in the reservoir.
Zhen Chen; Sandip Ghosal
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Publication Detail:
Type:  JOURNAL ARTICLE     Date:  2012-6-13
Journal Detail:
Title:  Proceedings. Mathematical, physical, and engineering sciences / the Royal Society     Volume:  468     ISSN:  1471-2946     ISO Abbreviation:  Proc. Math. Phys. Eng. Sci.     Publication Date:  2012 Oct 
Date Detail:
Created Date:  2012-9-14     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  9891746     Medline TA:  Proc Math Phys Eng Sci     Country:  -    
Other Details:
Languages:  ENG     Pagination:  3139-3152     Citation Subset:  -    
Department of Mechanical Engineering , Northwestern University , 2145 Sheridan Road, Evanston, IL 60208, USA.
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