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Research Papers: Forced Convection

Electroosmotic Flow of Viscoelastic Fluids Through a Slit Microchannel With a Step Change in Wall Temperature

[+] Author and Article Information
Arman Sadeghi

Center of Excellence in Energy Conversion (CEEC),
School of Mechanical Engineering,
Sharif University of Technology,
P.O. Box 11155-9567,
Tehran, Iran
e-mail: armansadeghi@mech.sharif.edu

Hadi Veisi

Department of Chemical and
Petroleum Engineering,
Sharif University of Technology,
P.O. Box 11365-9465,
Tehran, Iran
e-mail: hadiveisi.sut@gmail.com

Mohammad Hassan Saidi

e-mail: saman@sharif.edu

Ali Asghar Mozafari

e-mail: mozafari@sharif.edu
Center of Excellence in Energy Conversion (CEEC),
School of Mechanical Engineering,
Sharif University of Technology,
P.O. Box 11155-9567,
Tehran, Iran

1 Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received November 12, 2011; final manuscript received July 27, 2012; published online January 9, 2013. Assoc. Editor: Andrey Kuznetsov.

J. Heat Transfer 135(2), 021706 (Jan 09, 2013) (12 pages) Paper No: HT-11-1515; doi: 10.1115/1.4007414 History: Received November 12, 2011; Revised July 27, 2012

Thermally developing electroosmotically generated flow of two viscoelastic fluids, namely the PTT and FENE-P models, through a slit microchannel is considered. Both the viscous dissipation and Joule heating effects are taken into account and a step change in wall temperature is considered to represent physically conceivable thermal entrance conditions. Expressions for the dimensionless temperature and Nusselt number in the form of infinite series are presented. In general, the resultant eigenvalue problem is solved numerically; nevertheless, an analytical solution is presented for the regions close to the entrance. A parametric study reveals that increasing amounts of the Peclet number result in higher wall heat fluxes. The results also indicate higher wall heat fluxes for non-Newtonian fluids in comparison with Newtonian fluids and the difference is increased with increasing the level of elasticity. Furthermore, based on the value of the dimensionless Joule heating parameter, the Nusselt number may be either an increasing or a decreasing function of the axial coordinate or even both of them in the presence of a singularity point. The viscous heating effects are also found to be negligible.

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References

Figures

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Fig. 1

Geometry of the physical problem, coordinate system, and electric double layer

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Fig. 2

Nusselt number at small values of x* with different truncation orders while keeping K=2, εgeWe2=1,Pe=1,S=1, and Br=10-4 along with the slug flow prediction

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Fig. 3

Transverse distribution of dimensionless velocity at different values of εgeWe2 while keeping K=2

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Fig. 4

Transverse distribution of dimensionless temperature at different axial positions while keeping K=10,∈geWe2=1,Pe=1,|S|=1, and |Br|=10-4 (a) T0>Tw and (b) T0<Tw

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Fig. 5

Transverse distribution of dimensionless temperature at x*=0.1 for different values of εgeWe2 while keeping K=2,Pe=1,S=-1, and Br=-10-4

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Fig. 6

Transverse distribution of dimensionless temperature at x*=0.01 for different values of K while keeping εgeWe2=0.01,Pe=1,S=-1, and Br=-10-4

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Fig. 7

Variation of the dimensionless bulk temperature in the axial direction at different values of Peclet number for K→∞ and S=1

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Fig. 8

Variation of the dimensionless bulk temperature in the axial direction at different values of S for K→∞ and Pe = 4

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Fig. 9

Variation of Nusselt number in the axial direction at different values of Peclet number for K→∞ and S=1

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Fig. 10

Variation of Nusselt number in the axial direction at different values of S for K=2,εgeWe2=0.01,Pe=1, and |Br|=10-4 (a) T0 > Tw and (b) T0 < Tw

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Fig. 11

Transverse distribution of dimensionless temperature near the singularity point occurred in Nusselt number values for K=2,εgeWe2=0.01,Pe=1,S=-1, and Br=-10-4

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Fig. 12

Variation of Nusselt number in the axial direction at different values of εgeWe2 for K=2,Pe=4,S=1, and Br=10-4

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