RESEARCH PAPERS: Forced Convection

Turbulent Three-Dimensional Air Flow and Heat Transfer in a Cross-Corrugated Triangular Duct

[+] Author and Article Information
Li-Zhi Zhang

Key Laboratory of Enhanced Heat Transfer and Energy Conservation of the Ministry of Education, School of Chemical and Energy Engineering,  South China University of Technology, Guangzhou 510640, People’s Republic of Chinalzzhang@scut.edu.cn

J. Heat Transfer 127(10), 1151-1158 (Apr 26, 2005) (8 pages) doi:10.1115/1.2035110 History: Received November 23, 2004; Revised April 26, 2005

Turbulent complex three-dimensional air flow and heat transfer inside a cross-corrugated triangular duct is numerically investigated. Four turbulence models, the standard kε (SKE), the renormalized group kε, the low Reynolds kω (LKW), and the Reynolds stress models (RSM) are selected, with nonequilibrium wall functions approach (if applicable). The periodic mean values of the friction factor and the wall Nusselt numbers in the hydro and thermally developing entrance region are studied, with the determination of the distribution of time-averaged temperature and velocity profiles in the complex topology. The results are compared with the available experimental Nusselt numbers for cross-corrugated membrane modules. Among the various turbulence models, generally speaking, the RSM model gives the best prediction for 2000Re20,000. However, for 2000Re6000, the LKW model agrees the best with experimental data, while for 6000<Re20,000, the SKE predicts the best. Two correlations are proposed to predict the fully developed periodic mean values of Nusselt numbers and friction factors for Reynolds numbers ranging from 2000 to 20,000. The results are that compared to parallel flat plates, the corrugated ducts could enhance heat transfer by 40 to 60%, but with a 2 times more pressure drop penalty. The velocity, temperature, and turbulence fields in the flow passages are investigated to give some insight into the mechanisms for heat transfer enhancement.

Copyright © 2005 by American Society of Mechanical Engineers
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Figure 1

The flow channel geometry

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Figure 2

The single cross-corrugated channel segment for computation

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Figure 3

The grid distribution for the computation domain, showing two and one-half cycles

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Figure 4

Predictions of fully developed periodic mean Nusselt numbers with various turbulence models

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Figure 5

Velocity vectors in the x‐y midplane showing five cycles

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Figure 6

Velocity vectors in the y‐z plane at x*=4.5

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Figure 7

Distribution of periodic mean friction factor along flow direction

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Figure 8

Calculated fully developed periodic mean friction factor

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Figure 9

Comparisons of periodic mean friction factors with Reynolds numbers, cross-corrugated, and parallel flat plates

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Figure 10

Isotherms in the x‐y midplane, z*=0.5

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Figure 11

Isotherms in the y‐z plane at x*=4.5

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Figure 12

Distribution of periodic mean Nusselt numbers along flow direction

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Figure 13

Comparisons of the fully developed Nusselt numbers for the corrugated duct and parallel flat plates

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Figure 14

Contours of turbulence intensity in the x‐y plane at z*=0.5



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