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Simulation and design of extraction and separation fluidic devices

Published online by Cambridge University Press:  15 April 2002

Bijan Mohammadi  and
Juan G. Santiago
Bijan Mohammadi
Affiliation:
Université Montpellier II, Département de Mathématiques, CC51, 34095 Montpellier Cedex 5, France. ([email protected])
Juan G. Santiago
Affiliation:
Mechanical Engineering Dept., Stanford University, Stanford 94305-4021, CA, USA. ([email protected])
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Abstract

We present the combination of a state control and shape design approachesfor the optimization of micro-fluidic channels used for sample extraction andseparation of chemical species existing in a buffer solution.The aim is to improve the extraction and identification capacities of electroosmotic micro-fluidic devices by avoiding dispersion of the extracted advected band.

Keywords

Fluidic channelselectroosmosisoptimization and control of distributed systems.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 35 , Issue 3 , May 2001 , pp. 513 - 523
Copyright
© EDP Sciences, SMAI, 2001

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References

Culbeston, C.T., Jacobson, S.C. and Ramsey, J., Dispersion sources for compact geometries on microchips. Analytical Chemistry 70 (1998) 3781-3789.
J.I. Molho, A.E. Herr, B.P. Mosier, J.G. Santiago, T.W. Kenny, R.A. Brennen and G.B. Gordon, Designing corner compensation for electrophoresis in compact geometries, in Proc. Micro total analysis systems, Enschelde, The Netherlands, May 14-18, 2000. Kluwer Academic, Hingham (2000) 287-290.
B. Mohammadi, J.I. Molho and J.G. Santiago, Incomplete sensitivities in the design of minimal dispersion fluidic channels. Comp. Meth. Appl. Mech. Eng. (submitted).
Mohammadi, B., Molho, J.I. and Santiago, J.G., Optimization of turn geometries for on-chip electrophoresis. Analytical Chemestry 73 (2001) 1350-1360.
Mohammadi, B., Practical applications to fluid flows of automatic differentiation for design problems. VKI Lecture Series 4S-05 (1997) 55-84.
Mohammadi, B., A new optimal shape design procedure for inviscid and viscous turbulent flows. Internat. J. Numer. Methods Fluids 25 (1997) 183-203. 3.0.CO;2-U>CrossRef
B. Mohammadi and O. Pironneau, Applied Shape Design for Fluids. Oxford Univ. Press, Oxford (2001).
B. Mohammadi, Flow control and shape optimization in aeroelastic configurations. AIAA 99-0182 (1999).
R.F. Probstein, Physicochemical hydrodynamics. Wiley, New York (1995).
Attouch, H. and Cominetti, R., A dynamical approach to convex minimization coupling approximation with the steepest descent method. J. Differential Equations 128 (1996) 519-540. CrossRef
Squire, W. and Trapp, G., Using complex variables to estimate derivatives of real functions. SIAM Review 10 (1998) 110-112. CrossRef