Simulation and design of extraction and separation fluidic devices

Bijan Mohammadi; Juan G. Santiago

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 35, Issue: 3, page 513-523
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Mohammadi, Bijan, and Santiago, Juan G.. "Simulation and design of extraction and separation fluidic devices." ESAIM: Mathematical Modelling and Numerical Analysis 35.3 (2010): 513-523. <http://eudml.org/doc/197487>.

@article{Mohammadi2010,
abstract = { 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. },
author = {Mohammadi, Bijan, Santiago, Juan G.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Fluidic channels; electroosmosis; optimization and control of distributed systems.; fluidic channels; optimization and control of distributed systems; shape design approaches},
language = {eng},
month = {3},
number = {3},
pages = {513-523},
publisher = {EDP Sciences},
title = {Simulation and design of extraction and separation fluidic devices},
url = {http://eudml.org/doc/197487},
volume = {35},
year = {2010},
}

TY - JOUR
AU - Mohammadi, Bijan
AU - Santiago, Juan G.
TI - Simulation and design of extraction and separation fluidic devices
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 35
IS - 3
SP - 513
EP - 523
AB - 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.
LA - eng
KW - Fluidic channels; electroosmosis; optimization and control of distributed systems.; fluidic channels; optimization and control of distributed systems; shape design approaches
UR - http://eudml.org/doc/197487
ER -

References

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  1. C.T. Culbeston, S.C. Jacobson and J. Ramsey, Dispersion sources for compact geometries on microchips. Analytical Chemistry70 (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).  Zbl1039.76014
  4. B. Mohammadi, J.I. Molho and J.G. Santiago, Optimization of turn geometries for on-chip electrophoresis. Analytical Chemestry73 (2001) 1350-1360.  
  5. B. Mohammadi, Practical applications to fluid flows of automatic differentiation for design problems. VKI Lecture Series4S-05 (1997) 55-84.  
  6. B. Mohammadi, A new optimal shape design procedure for inviscid and viscous turbulent flows. Internat. J. Numer. Methods Fluids25 (1997) 183-203.  Zbl0892.76071
  7. B. Mohammadi and O. Pironneau, Applied Shape Design for Fluids. Oxford Univ. Press, Oxford (2001).  Zbl0970.76003
  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 Equations128 (1996) 519-540.  Zbl0886.49024
  11. W. Squire and G. Trapp, Using complex variables to estimate derivatives of real functions. SIAM Review10 (1998) 110-112.  Zbl0913.65014

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