no. 3
Simulation and design of extraction and separation fluidic devices
ESAIM: Modélisation mathématique et analyse numérique, Tome 35 (2001) no. 3, pp. 513-523.

Nous présentons la combinaison de deux problèmes d'optimisation et de contrôle d'état pour les configurations de canaux micro-fluidique. Ces dispositifs sont utilisés pour l'extraction et la séparation de composants chimiques présents dans une solution. Le but est, dans un premier temps, l'amélioration de la phase de l'extraction par le contrôle de la dispersion du front. Ceci se fait par l'application d'un champs électrique. L'on s'intèresse ensuite à l'optimisation du canal, permettant la séparation, par une minimisation de la dispersion induite par les coudes.

We present the combination of a state control and shape design approaches for the optimization of micro-fluidic channels used for sample extraction and separation 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.

Classification : 37NXX, 37N35, 68W25, 74M25, 74PXX, 74SXX
Mots clés : fluidic channels, electroosmosis, optimization and control of distributed systems 
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Mohammadi, Bijan; Santiago, Juan G. Simulation and design of extraction and separation fluidic devices. ESAIM: Modélisation mathématique et analyse numérique, Tome 35 (2001) no. 3, pp. 513-523. http://www.numdam.org/item/M2AN_2001__35_3_513_0/

[1] C.T. Culbeston, S.C. Jacobson and J. Ramsey, Dispersion sources for compact geometries on microchips. Analytical Chemistry 70 (1998) 3781-3789.

[2] 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.

[3] 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). | Zbl

[4] B. Mohammadi, J.I. Molho and J.G. Santiago, Optimization of turn geometries for on-chip electrophoresis. Analytical Chemestry 73 (2001) 1350-1360.

[5] B. Mohammadi, Practical applications to fluid flows of automatic differentiation for design problems. VKI Lecture Series 4S-05 (1997) 55-84.

[6] B. Mohammadi, A new optimal shape design procedure for inviscid and viscous turbulent flows. Internat. J. Numer. Methods Fluids 25 (1997) 183-203. | Zbl

[7] B. Mohammadi and O. Pironneau, Applied Shape Design for Fluids. Oxford Univ. Press, Oxford (2001). | MR

[8] B. Mohammadi, Flow control and shape optimization in aeroelastic configurations. AIAA 99-0182 (1999).

[9] R.F. Probstein, Physicochemical hydrodynamics. Wiley, New York (1995).

[10] H. Attouch and R. Cominetti, A dynamical approach to convex minimization coupling approximation with the steepest descent method. J. Differential Equations 128 (1996) 519-540. | Zbl

[11] W. Squire and G. Trapp, Using complex variables to estimate derivatives of real functions. SIAM Review 10 (1998) 110-112. | Zbl