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Research Papers: Forced Convection

Developing and Fully Developed Non-Newtonian Fluid Flow and Heat Transfer Through Concentric Annuli

[+] Author and Article Information
Mohammad Sefid

e-mail: mhsefid@yazduni.ac.ir

Ehsan Izadpanah

Department of Mechanical Engineering,
Yazd University,
Safaieh-yazd, Iran

Contributed by Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received June 5, 2012; final manuscript received February 1, 2013; published online June 6, 2013. Assoc. Editor: Andrey Kuznetsov.

J. Heat Transfer 135(7), 071702 (Jun 06, 2013) (8 pages) Paper No: HT-12-1271; doi: 10.1115/1.4023882 History: Received June 05, 2012; Revised February 01, 2013

Developing and fully developed laminar flows of power law fluid with forced convection heat transfer through a concentric annular duct are numerically analyzed. The results are presented for the following ranges: 0.2 ≤ n ≤ 1.8 (power law index), 10 ≤ Re ≤ 1000 (Reynolds number), and r* = 0.2, 0.5, 0.8 (aspect ratio). In addition, the influences of different thermal boundary conditions on the thermal performance are delineated. The effects of rheological parameter on the developing length, friction factor, temperature distribution, velocity profile, and Nusselt number along the channel length are investigated. The results are compared with earlier research and excellent agreement was observed.

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Figures

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Fig. 1

Nonuniform computational grid for r*= 0.5 for an annular duct

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Fig. 2

Velocity distribution for r*= 0.5 at a fully developed region

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Fig. 3

Variation of centerline velocity for r*= 0.5 at a developing and a fully developed region

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Fig. 4

Variation of developing length versus Reg number for (a) r*= 0.2, (b) r*= 0.5, and (c) r*= 0.8

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Fig. 5

Variation of f.Reg along a channel with (a) r* = 0.2, (b) r*= 0.5, and (c) r*= 0.8

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Fig. 6

Bulk temperature variations along Z direction for (a) inner wall constant temperature (case 1), and (b) outer wall constant temperature (case 2) with r*= 0.2, r*= 0.5, and r*= 0.8

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Fig. 7

Bulk temperature, and inner and outer mean wall temperature variations along the axis for inner wall constant heat flux (case 3) with (a) r*= 0.2, (b) r*= 0.5, and (c) r*= 0.8

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Fig. 8

Mean Nusselt number variations across the Z direction for (a) inner wall constant temperature (case 1), (b) outer wall constant temperature (case 2) with r*= 0.2, r*= 0.5, and r*= 0.8 for Pe = 250 and Reg = 50

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Fig. 9

Mean Nusselt number variations across the Z direction for (a) inner wall constant heat flux (case 3) (b) outer wall constant heat flux (case 4) with r*= 0.2, r*= 0.5, and r*= 0.8 for Pe = 5000 and Reg = 50

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