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Research Papers: Fundamental Issues and Canonical Flows

Investigation of Combined Electro-Osmotic and Pressure-Driven Flow in Rough Microchannels

[+] Author and Article Information
Prashant R. Waghmare

Department of Mechanical Engineering, Indian Institute of Technology Bombay, Mumbai 400076, Indiaprashant.waghmare@iitb.ac.in

Sushanta K. Mitra1

Department of Mechanical Engineering, Indian Institute of Technology Bombay, Mumbai 400076, Indiaskmitra@me.iitb.ac.in

1

Corresponding author.

J. Fluids Eng 130(6), 061204 (May 22, 2008) (7 pages) doi:10.1115/1.2928333 History: Received July 30, 2007; Revised March 23, 2008; Published May 22, 2008

The present study is carried out to investigate the influence of surface roughness in combined electro-osmotic and pressure-driven flow in microchannel. Two-dimensional theoretical model is developed to predict the behavior of velocity profiles in rough microchannel. The concept of surface roughness-viscosity model is used to account the effect of surface roughness. The pluglike velocity profile for electro-osmotic flow and the parabolic velocity profile for pressure-driven flow with delay in attaining the centerline velocity are observed. It is found that for electro-osmotic flow, the deviation in velocity profile from a flow in a smooth channel occurs near the wall, whereas in pressure-driven flow, such deviation is dominant in the core region. A superposition of pluglike and parabolic velocity profiles is found in combined electro-osmotic and pressure-driven flow. It is also observed that in the case of combined flow, the deviation in velocity profile from the smooth channel case reduces gradually with the distance from the wall.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 3

Variation of nondimensional EO potential Ψ* and velocity u* across half channel for various values of β at α=1

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Figure 4

Variation of nondimensional EO potential Ψ* and velocity u* across half channel for various values of β at α=10

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Figure 6

Variation of nondimensional velocity u* and EO potential Ψ* in pure EO flow for various values of εr at β=1000

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Figure 7

Variation of nondimensional velocity u* for various values of εr in PD flow at ∂p*∕∂x*=−2

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Figure 1

Schematic of rectangular channel with distribution of charges due to EO flow

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Figure 2

Comparison of proposed roughness-viscosity function with Mala and Li’s (7) function

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Figure 5

Variation of nondimensional velocity u* and EO potential Ψ* in pure EO flow for various values of εr at β=100

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Figure 8

Variation of nondimensional velocity u* for various values of εr in high PD flow at ∂p*∕∂x*=−5

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Figure 9

Variation of nondimensional velocity u* for various values of εr in different operating conditions

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Figure 10

Variation of nondimensional velocity u* for various values of εr in combined EO and PD flow

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