Steady electro-osmotic flow of a micropolar fluid in a microchannel

Abuzar A. Siddiqui, Akhlesh Lakhtakia

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

We have formulated and solved the boundary-value problem of steady, symmetric and one-dimensional electro-osmotic flow of a micropolar fluid in a uniform rectangular microchannel, under the action of a uniform applied electric field. The Helmholtz-Smoluchowski equation and velocity for micropolar fluids have also been formulated. Numerical solutions turn out to be virtually identical to the analytic solutions obtained after using the Debye-Hückel approximation, when the microchannel height exceeds the Debye length, provided that the zeta potential is sufficiently small in magnitude. For a fixed Debye length, the mid-channel fluid speed is linearly proportional to the microchannel height when the fluid is micropolar, but not when the fluid is simple Newtonian. The stress and the microrotation are dominant at and in the vicinity of the microchannel walls, regardless of the microchannel height. The mid-channel couple stress decreases, but the couple stress at the walls intensifies, as the microchannel height increases and the flow tends towards turbulence.

Original languageEnglish (US)
Pages (from-to)501-522
Number of pages22
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume465
Issue number2102
DOIs
StatePublished - Feb 8 2009

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micropolar fluids
Electroosmotic Flow
Micropolar Fluid
Microchannel
Steady Flow
microchannels
Microchannels
Fluids
Couple Stress
Debye length
Fluid
Micropolar
Smoluchowski Equation
Helmholtz equation
Helmholtz equations
fluids
Zeta potential
Helmholtz Equation
Analytic Solution
boundary value problems

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

Cite this

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Steady electro-osmotic flow of a micropolar fluid in a microchannel. / Siddiqui, Abuzar A.; Lakhtakia, Akhlesh.

In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 465, No. 2102, 08.02.2009, p. 501-522.

Research output: Contribution to journalArticle

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