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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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References

Nguyen, N. T., and Wereley, S. T., 2006, Fundamentals and Applications of Microfluidics, Artech House, Boston, MA.
Arulanandam, S., and Li, D., 2000, “Liquid Transport in Rectangular Microchannels by Electroosmotic Pumping,” Colloids Surf. A, 161, pp. 89–102. [CrossRef]
Erickson, D., and Li, D., 2003, “Analysis of AC Electroosmotic Flows in a Rectangular Microchannel,” Langmuir, 19, pp. 5421–5430. [CrossRef]
Kang, Y. J., Yang, C., and Huang, X. Y., 2002, “Dynamic Aspects of Electroosmotic Flow in a Cylindrical Microcapillary,” Int. J. Eng. Sci., 40, pp. 2203–2221. [CrossRef]
Tang, G. H., Li, X. F., and Tao, W. Q., 2010, “Microannular Electroosmotic Flow With the Axisymmetric Lattice Boltzmann Method,” J. Appl. Phys., 108(11), p. 114903. [CrossRef]
Wang, M., and Kang, Q., 2010, “Modeling Electrokinetic Flows in Microchannels Using Coupled Lattice Boltzmann Methods,” J. Comput. Phys., 229, pp. 728–744. [CrossRef]
Xuan, X. C., and Li, D., 2005, “Electroosmotic Flow in Microchannels With Arbitrary Geometry and Arbitrary Distribution of Wall Charge,” J. Colloid Interface Sci., 289, pp. 291–303. [CrossRef] [PubMed]
Moghadam, A. J., 2012, “An Exact Solution of AC Electro-Kinetic-Driven Flow in a Circular Micro-Channel,” Eur. J. Mech. B/Fluids, 34, pp. 91–96. [CrossRef]
Soong, C. Y., and Wang, S. H., 2003, “Theoretical Analysis of Electrokinetic Flow and Heat Transfer in a Microchannel Under Asymmetric Boundary Conditions,” J. Colloid Interface Sci., 265(1), pp. 202–213. [CrossRef] [PubMed]
Yang, C., Li, D., and Masliah, J. H., 1998, “Modeling Forced Liquid Convection in Rectangular Microchannels With Electrokinetic Effects,” Int. J. Heat Mass Transfer, 41, pp. 4229–4249. [CrossRef]
Maynes, D., and Webb, B. W., 2003, “Fully Developed Electroosmotic Heat Transfer in Microchannels,” Int. J. Heat Mass Transfer, 46, pp. 1359–1369. [CrossRef]
Chen, C.-H., 2009, “Thermal Transport Characteristics of Mixed Pressure and Electroosmotically Driven Flow in Micro- and Nanochannels With Joule Heating,” ASME J. Heat Transfer, 131, p. 022401. [CrossRef]
Sadeghi, A., and Saidi, M. H., 2010, “Viscous Dissipation Effects on Thermal Transport Characteristics of Combined Pressure and Electroosmotically Driven Flow in Microchannels,” Int. J. Heat Mass Transfer, 53, pp. 3782–3791. [CrossRef]
Maynes, D., and Webb, B. W., 2004, “The Effect of Viscous Dissipation in Thermally Fully-Developed Electroosmotic Heat Transfer in Microchannels,” Int. J. Heat Mass Transfer, 47, pp. 987–999. [CrossRef]
Zhao, C., Zholkovskij, E., Masliyah, J. H., and Yang, C., 2008, “Analysis of Electroosmotic Flow of Power-Law Fluids in a Slit Microchannel,” J. Colloid Interface Sci., 326, pp. 503–510. [CrossRef] [PubMed]
Bharti, R. P., Harvie, D. J. E., and Davidson, M. R., 2009, “Electroviscous Effects in Steady Fully Developed Flow of a Power-Law Liquid Through a Cylindrical Microchannel,” Int. J. Heat Fluid Flow, 30, pp. 804–811. [CrossRef]
Tang, G. H., Li, X. F., He, Y. L., and Tao, W. Q., 2009, “Electroosmotic Flow of Non-Newtonian Fluid in Microchannels,” J. Non-Newtonian Fluid Mech., 157, pp. 133–137. [CrossRef]
Bakaraju, O. R., 2009, “Heat Transfer in Electroosmotic Flow of Power-Law Fluids in Microchannel,” M.S. thesis, Cleveland State University, Cleveland, OH.
Chen, C.-H., 2012, “Fully-Developed Thermal Transport in Combined Electroosmotic and Pressure Driven Flow of Power-Law Fluids in Microchannels,” Int. J. Heat Mass Transfer, 55, pp. 2173–2183. [CrossRef]
Shamshiri, M., Khazaeli, R., Ashrafizaadeh, M., and Mortazavi, S., 2012, “Electroviscous and Thermal Effects on Non-Newtonian Liquid Flows Through Microchannels,” J. Non-Newtonian Fluid Mech., 173–174, pp. 1–12. [CrossRef]
Babaie, A., Saidi, M. H., and Sadeghi, A., 2012, “Heat Transfer Characteristics of Mixed Electroosmotic and Pressure Driven Flow of Power-Law Fluids in a Slit Microchannel,” Int. J. Therm. Sci., 53, pp. 71–79. [CrossRef]
Zhao, C., and Yang, C., 2012, “Joule Heating Induced Heat Transfer for Electroosmotic Flow of Power-Law Fluids in a Microcapillary,” Int. J. Heat Mass Transfer, 55, pp. 2044–2051. [CrossRef]
Chen, C.-H., 2011, “Electroosmotic Heat Transfer of Non-Newtonian Fluid Flow in Microchannels,” ASME J. Heat Transfer, 133, p. 071705. [CrossRef]
Kandlikar, S., Garimella, S., Li, D., Colin, S., and King, M. R., 2006, Heat Transfer and Fluid Flow in Minichannels and Microchannels, Elsevier, Oxford, UK.
Chhabra, R. P., and Richardson, J. F., 2008, Non-Newtonian Flow and Applied Rheology, Butterworth-Heinemann, Oxford, UK.
Tabeling, P., 2005, Introduction to Microfluidics, Oxford University, New York.
Hardt, S., and Schonfeld, F., 2007, Microfluidic Technologies for Miniaturized Analysis Systems, Springer, New York.

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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