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Electrokinetic Flow in a Surface Corrugated Microchannel

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Mathematics and Computing (ICMC 2017)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 655))

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Abstract

A numerical investigation is made into the characteristics of the electrokinetic flow and its effect in the vicinity of a surface corrugated microchannel. A transformation have been used to transform the present physical domain to rectangular computational domain in order to simplify the application of boundary conditions on the channel walls. The characteristics for the electrokinetic flow are obtained by numerically solving the Laplace equation for the distribution of external electric potential; the Poisson equation for the distribution of induced electric potential; the Nernst-Planck equation for the distribution of ions and the Navier-Stokes equations for fluid flow simultaneously. These non-linear coupled set of governing equations are solved numerically by control volume method over staggered system. Our results show that the form of the vortical flow, which develops in the vicinity of the channel wall depends on the surface roughness and thickness of the Debye layer along the homogeneous channel wall. The occurrence of electrical neutrality of fluid outside the Debye layer and recirculating vortex near channel wall suggests that the fluid flow is influenced by the induced electric field and vice-versa.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology Silchar, Silchar, 788010, India

    Subrata Bera

  2. Department of Mathematics, Indian Institute of Technology Khargapur, Kharagpur, 721302, India

    S. Bhattacharyya

Authors
  1. Subrata Bera
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  2. S. Bhattacharyya
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Correspondence to Subrata Bera .

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Editors and Affiliations

  1. Haldia Institute of Technology, Haldia, India

    Debasis Giri

  2. University of Central Florida, Orlando, Florida, USA

    Ram N. Mohapatra

  3. Freie Universität Berlin, Berlin, Germany

    Heinrich Begehr

  4. Fordham University, Bronx, New York, USA

    Mohammad S. Obaidat

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Bera, S., Bhattacharyya, S. (2017). Electrokinetic Flow in a Surface Corrugated Microchannel. In: Giri, D., Mohapatra, R., Begehr, H., Obaidat, M. (eds) Mathematics and Computing. ICMC 2017. Communications in Computer and Information Science, vol 655. Springer, Singapore. https://doi.org/10.1007/978-981-10-4642-1_24

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  • DOI: https://doi.org/10.1007/978-981-10-4642-1_24

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-4641-4

  • Online ISBN: 978-981-10-4642-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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