Fluid Mechanics and Transport Phenomena

Sherwood number in flow through parallel porous plates (Microchannel) due to pressure and electroosmotic flow

  1. Nallapusa Vennela1,
  2. Sourav Mondal1,
  3. Sirshendu De1,*,
  4. Subir Bhattacharjee2

Article first published online: 4 AUG 2011

DOI: 10.1002/aic.12713

Issue

AIChE Journal

AIChE Journal

Volume 58, Issue 6, pages 1693–1703, June 2012

Additional Information

How to Cite

Vennela, N., Mondal, S., De, S. and Bhattacharjee, S. (2012), Sherwood number in flow through parallel porous plates (Microchannel) due to pressure and electroosmotic flow. AIChE J., 58: 1693–1703. doi: 10.1002/aic.12713

Author Information

  1. 1

    Dept. of Chemical Engineering, Indian Institute of Technology, Kharagpur, Kharagpur 721302, India

  2. 2

    Dept. of Mechanical Engineering, University of Alberta, Edmonton, AB, Canada T6G 2G8

*Dept. of Chemical Engineering, Indian Institute of Technology, Kharagpur, Kharagpur 721302, India

Publication History

  1. Issue published online: 4 MAY 2012
  2. Article first published online: 4 AUG 2011
  3. Accepted manuscript online: 27 JUN 2011 03:17PM EST
  4. Manuscript Revised: 14 MAY 2011
  5. Manuscript Received: 1 MAR 2011

Funded by

  • Shastri Indo-Canadian Foundation
  • NSERC Industrial Research Chair in Water Quality Management for Oil Sands Extraction

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Keywords:

  • porous media;
  • mass transfer;
  • Sherwood number;
  • permeation;
  • Debye length

Abstract

An expression for Sherwood number is developed from first principles for combined pressure-driven and electroosmotic flow in a porous rectangular microchannel. This quantifies the mass transfer of an electrically neutral solute in the microchannel and is useful for designing microfluidic devices and porous media flows. The convective-diffusive species balance equation, coupled with the velocity field, is solved within the mass transfer boundary layer utilizing similarity method. From the simulations, it is observed that the Sherwood number increases as the electric double layer near the channel wall becomes more compact (as manifested through a decrease in the Debye length), and it reaches a constant value around the scaled Debye length of 40. The Sherwood number becomes constant at higher Debye lengths as electrokinetic effects become negligible. A detailed analysis of dependence of Reynolds number, dimensionless permeation velocity, ratio of driving force and scaled Debye length on Sherwood number is presented. © 2011 American Institute of Chemical Engineers AIChE J, 58: 1693–1703, 2012

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