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Iterative solution of a free-boundary problem arising in microscopic particle manipulation inside a liquid layer

  • Control of Distributed Parameter Systems
  • Conference paper
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Analysis and Optimization of Systes

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 144))

Abstract

A free-boundary problem arising from the manipulation of microscopic particles immersed in a liquid film by means of a gas jet is considered. The objective is to determine the total force acting on the particle due to the flow inside the liquid induced by the gas jet. An iterative algorithm for the numerical solution of this problem is presented. The basic approach is to solve the flows in the liquid and gas separately with an assumed free-boundary shape, and then make corrections for the free-boundary shape using the stress balance conditions at the liquid gas interface. Some typical numerical results are presented.

Work supported by National Science Foundation Grant ECS 87-18473.

Visiting Scholar supported by SAGEM-Center D’Eragny, Cergy-Pontoise cedex, France.

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References

  1. P.K.C. Wang, “Manipulation and control of microscopic objects immersed in a fluid medium”, Proc. IEEE Micro Robots and Telcoperators Workshop, IIyannis, Mass. Nov. 1987, Paper No. 18.

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering, University of California, 90024, Los Angeles, California, U.S.A.

    P. K. C. Wang & E. Behaegel

  2. Analytic and Computational Research Inc., 3106 Inglewood Blvd., 90066, Los Angeles, California, U.S.A.

    A. K. Runchal

Authors
  1. P. K. C. Wang
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  2. E. Behaegel
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  3. A. K. Runchal
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Editor information

A. Bensoussan J. L. Lions

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© 1990 Springer-Verlag

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Wang, P.K.C., Behaegel, E., Runchal, A.K. (1990). Iterative solution of a free-boundary problem arising in microscopic particle manipulation inside a liquid layer. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systes. Lecture Notes in Control and Information Sciences, vol 144. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0120037

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  • DOI: https://doi.org/10.1007/BFb0120037

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52630-8

  • Online ISBN: 978-3-540-47085-4

  • eBook Packages: Springer Book Archive

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