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Analytical Solution for Thermally Fully Developed Combined Electroosmotic and Pressure-Driven Flows in Narrow Confinements With Thick Electrical Double Layers

[+] Author and Article Information
Ranabir Dey, Debapriya Chakraborty

Department of Mechanical Engineering, Indian Institute of Technology Kharagpur, Kharagpur 721 302, West Bengal, India

Suman Chakraborty1

Department of Mechanical Engineering, Indian Institute of Technology Kharagpur, Kharagpur 721 302, West Bengal, Indiasuman@mech.iitkgp.ernet.in

1

Corresponding author.

J. Heat Transfer 133(2), 024503 (Nov 03, 2010) (5 pages) doi:10.1115/1.4002607 History: Received April 23, 2010; Revised August 25, 2010; Published November 03, 2010; Online November 03, 2010

In the present paper, closed form solutions for the Nusselt number are obtained for hydrodynamically and thermally fully developed combined electroosmotic and pressure-driven flows in narrow confinements for the constant wall heat flux boundary condition. Overcoming the constraints of the standard models that are valid only within thin electrical double layer (EDL) limits, the effects of thick electric double layers are accounted for as a distinctive feature of this model. Along with Joule heating, viscous dissipation effects, which are particularly important for ultrathin channel dimensions (typically conforming to the cases of thick EDLs), are taken into account. The results are presented in terms of appropriate nondimensional parameters depicting the relative EDL thickness with respect to the channel height, as well as relative strengths of Joule heating and viscous dissipation effects.

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Figures

Grahic Jump Location
Figure 1

Variation of Nusselt number with viscous dissipation parameter for different values of Joule heating parameter with thick EDL effects (κ=4) and Ω=1

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Figure 2

Variations of nondimensional temperature profile θ with wall normal coordinate η for different values of viscous dissipation parameter (g2) for κ=4 and Ω=1 with Joule heating parameter g1=1

Grahic Jump Location
Figure 3

Variation of Nusselt number with viscous dissipation parameter for varying flow actuation strengths considering thick EDL effects (κ=4) and g1=1

Grahic Jump Location
Figure 4

Variation of Nusselt number with viscous dissipation parameter for different values of Joule heating parameter considering thin EDL limits (κ∼O(10)) and Ω=1

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