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Research Papers: Forced Convection

Electrokinetic-Driven Flow and Heat Transfer of a Non-Newtonian Fluid in a Circular Microchannel

[+] Author and Article Information
Ali Jabari Moghadam

Department of Mechanical Engineering,
Shahrood University of Technology,
P.O. Box 316,
Shahrood, Iran
e-mail: jm.ali.project@gmail.com

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received January 4, 2012; final manuscript received August 18, 2012; published online January 3, 2013. Assoc. Editor: W. Q. Tao.

J. Heat Transfer 135(2), 021705 (Jan 03, 2013) (10 pages) Paper No: HT-12-1002; doi: 10.1115/1.4007542 History: Received January 04, 2012; Revised August 18, 2012

An analytical analysis is presented to explore the transport characteristics of electroosmotic flow and associated heat transfer of non-Newtonian power-law fluids in a circular microchannel. The approach selected here is based on the linearized Poisson–Boltzmann distribution equation to get analytical expressions for velocity and temperature profiles, the friction coefficient, and the fully-developed Nusselt number. The key parameters governing the problem include the flow behavior index, the length scale ratio (ratio of half channel diameter to Debye length), and the thermal scale ratio. The results reveal that increasing the length scale ratio tends to increase the friction coefficient. For surface heating, increasing the flow behavior index amplifies the temperature difference between the wall and the fluid, and thus the temperature distribution broadens; while the opposite trend is observed for surface cooling. Depending on the value of the thermal scale ratio, the fully-developed Nusselt number can be either increased or decreased by increasing the flow behavior index and/or the length scale ratio. The effect of flow behavior index on the Nusselt number vanishes as the length scale ratio approaches infinity.

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Figures

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Fig. 1

(a) Dimensionless electrical potential for different values of χ; comparisons of the exact solution and numerical solution for two values of n when χ = 10: (b) dimensionless velocity profile and (c) dimensionless temperature profile with P = 2

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Fig. 2

Dimensionless velocity profiles for different values of n, and (a) χ = 10 and (b) χ = 50

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Fig. 3

Dimensionless temperature profiles for different values of n, and χ = 10, and (a) P = 2, (b) P = 1, and (c) P = −3

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Fig. 4

Dimensionless temperature profiles for different values of χ, and P = 1, and (a) n = 0.5 and (b) n = 1

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Fig. 5

Dimensionless temperature profiles for different values of P, and χ = 10 and (a) n = 0.5 and (b) n = 1.25

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Fig. 6

Variations of fully-developed Nusselt number with χ for different values of P, and (a) n = 0.5 and (b) n = 1

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