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Numerical Calculation of Turbulent Channel Flow with Porous Ribs

Published online by Cambridge University Press:  05 May 2011

H. C. Chan*
Affiliation:
Department of Hydraulic and Ocean Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
Yaoxin Zhang*
Affiliation:
National Center for Computational Hydroscience and Engineering, The University of Mississippi, 102 Carrier Hall, University, MS 38677, United States
J. M. Leu*
Affiliation:
Department of Hydraulic and Ocean Engineering, National Cheng Kung University Tainan, Taiwan 70101, R.O.C.
Y.-S. Chen*
Affiliation:
Department of Hydraulic and Ocean Engineering, National Cheng Kung University Tainan, Taiwan 70101, R.O.C. Southern Region Water Resources Office, WRA, MOEA, Tainan County, Taiwan 71544, R.O.C.
*
*Post-Doctoral Researcher
**Research Scientist
***Associate Professor, corresponding author
****Ph.D. candidate and Junior Engineer
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Abstract

The turbulent flow in a channel with periodic porous ribs on one wall is numerically studied. The numerical model utilizes the Reynolds averaged Navier-Stokes (RANS) equations with a k−ε turbulent model for turbulence closure. Computational results show good agreements with experimental data in flows over a porous rib. The parameter effects, including the pitch ratio PR (1 ∼ 9) and porosity γ (0.4 ∼ 0.6), on flow fields are further examined in detail. Systematic variations of streamline, streamwise and vertical velocities, and turbulent kinetic energy are clearly identified. As to the PR effect, the interaction between outer flow and flow within the cavity is promoted by arranging ribs due to the penetration of the outer flow. Increasing porosity can reduce the downward outer flow by strong flows passing through the porous ribs. The numerical calculations suggest that the flow characteristics for porous ribs are not only a function of the rib geometry, i.e. pitch ratio, but also the porous property, i.e. porosity.

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Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2010

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References

1.Tropea, C. D. and Gackstatter, R.“The Flow Over Two-Dimensional Surface-Mounted Obstacles at Low Reynolds Numbers,” Journal of Fluids Engineering, 107, pp. 489494(1985).CrossRefGoogle Scholar
2.Islam, M. S.Haga, K., Kaminaga, M.Hino, R. and Monde, M., “Experimental Analysis of Turbulent Flow Structure in a Fully Developed Ribroughened Rectangular Channel with PIV,” Experiments in Fluids, 33, pp. 296306 (2002).CrossRefGoogle Scholar
3.Hwang, R. R., Chow, Y. C. and Peng, Y. F., “Numerical Study of Turbulent Flow Over Two-Dimensional Surface-Mounted Ribs in a Channel,” International Journal for Numerical Methods in Fluids, 31, pp. 767785(1999).3.0.CO;2-A>CrossRefGoogle Scholar
4.Chen, T. Y. and Chen, Y. H., “Rectangular-Plate Turbulator Effects on Heat Transfer and Near-Wall Flow Characteristics in Fan Flows,” Journal of Mechanics, 20, pp. 3341 (2004).CrossRefGoogle Scholar
5.Panigrahi, P. K. and Acharya, S.“Multi-Modal Forcing of the Turbulent Separated Shear Flow Past a Rib,” Journal of Fluids Engineering, 126, pp. 2231 (2004).CrossRefGoogle Scholar
6.Saha, A. K. and Acharya, S., “Unsteady RANS Simulation of Turbulent Flow and Heat Transfer in Ribbed Coolant Passages of Different Aspect Ratios,” International Journal of Heat Mass Transfer, 48, pp. 47044725 (2005).CrossRefGoogle Scholar
7.Perry, A. E., Schofield, W. H. and Joubert, P. N., “Rough Wall Turbulent Boundary Layers,” Journal of Fluid Mechanics, 37, pp. 383413 (1969).CrossRefGoogle Scholar
8.Tani, I. “Turbulent Boundary Layer Development over Rough Surfaces,” Perspective in Turbulence Studies (Ed. Meier, H. U. and Bradshaw, P.), Springer-Verlag, Berlin, pp. 223249 (1987).CrossRefGoogle Scholar
9.Djenidi, L.Elavarasan, R. and Antonia, R. A., “The Turbulent Boundary Layer Over Transverse Square Cavities,” Journal of Fluid Mechanics, 395, pp. 271294 (1999).CrossRefGoogle Scholar
10.Liou, T. M.Chang, Y. and Hwang, D. W., “Experimental and Computational Study of Turbulent Flows in a Channel with Two Pairs of Turbulent Promoters in Tandem,” Journal of Fluids Engineering, 112, pp. 302310(1990).CrossRefGoogle Scholar
11.Liou, T. M., Wu, Y. Y. and Chang, Y., “LDV Measurements of Periodic Fully Developed Main and Secondary Flows in a Channel with Rib-Distributed Walls,” Journal of Fluids Engineering, 115 pp. 109114(1993).CrossRefGoogle Scholar
12.Okamoto, S., Seo, S., Nakaso, K. and Kawai, I.,“Turbulent Shear Flow and Heat Transfer Over the Repeated Two-Dimensional Square Ribs on Ground Plane,” Journal of Fluids Engineering, 115, pp. 631637(1993).CrossRefGoogle Scholar
13.Leonardi, S., Orlandi, P., Smalley, R. J., Djenidi, L. and Antonia, R. A., “Direct Numerical Simulations of Turbulent Channel Flow with Transverse Square Bars on One Wall,” Journal of Fluid Mechanics, 491, pp. 229238 (2003).CrossRefGoogle Scholar
14.Cui, J.Patel, V. C. and Lin, C. L., “Large-Eddy Simulation of Turbulent Flow in a Channel with Rib Roughness,” International Journal of Heat Fluid Flow, 24, pp. 372388 (2003).CrossRefGoogle Scholar
15.Kim, H. M. and Kim, K. Y., “Design Optimization of Rib-Roughened Channel to Enhance Turbulent Heat Transfer,” International Journal of Heat Mass Transfer, 47, pp. 51595168 (2004).CrossRefGoogle Scholar
16.K., Vafai“Convection Flow and Heat Transfer in Variable Porous Media,” Journal of Fluid Mechanics, 147, pp. 233259(1984).Google Scholar
17.Kuznetsov, A. V., “Analytical Study of Fluid Flow and Heat Transfer during Forced Convection in a Composite Channel Partly Filled with a Brinkman-Forchheimer Porous Medium. Flow,” Flow, Turbulence and Combustion, 60, pp. 173192 (1998).CrossRefGoogle Scholar
18.Kuznetsov, A. V. and Xiong, M., “Numerical Simulation of the Effect of Thermal Dispersion on Forced Convection in a Circular Duct Partly Filled with a Brinkman-Forchheimer Porous Medium,” International Journal of Numerical Methods for Heat and Fluid Flow, 10, pp. 488501 (2000).CrossRefGoogle Scholar
19.Nield, D. A., Kuznetsov, A.V. and Xiong, M., “Thermally Developing Forced Convection in a Porous Medium Parallel Plate Channel with Walls at Uniform Temperature, with Axial Conduction and Viscous Dissipation Effects,” International Journal of Heat Mass Transfer, 46, pp. 643651 (2003).CrossRefGoogle Scholar
20.Chan, H. C., Huang, W. C., Leu, J. M. and Lai, C. J., “Macroscopic Modeling of Turbulent Flow Over a Porous Medium,” International Journal of Heat Fluid Flow, 28, pp. 11571166 (2007a).CrossRefGoogle Scholar
21.Chan, H. C., Leu, J. M., Lai, C. J. and Jia, , Yafei., , “Turbulent Flow over a Channel with Fluid-Saturated Porous Bed,” Journal of Hydraulic Engineering, 133, 610617 (2007b).CrossRefGoogle Scholar
22.Leu, J. M., Chan, H. C., Tu, Lih-Fu, Jia, Yafei, and Wang, Sam, S.Y., “Velocity Distribution of Non-Darcy Flow in Porous Medium, Journal of Mechanics, 25, pp. 4958 (2009).CrossRefGoogle Scholar
23.Buchlin, J. M., “Convective Heat Transfer in a Channel with Perforated Ribs,” International Journal of Thermal Sciences, 41, pp. 332340 (2002).CrossRefGoogle Scholar
24.Yang, Y. Z. and Huang, C. W., “Numerical Calculations of Heat Transfer and Friction Characteristics in Rectangular Ducts with Slit and Solid Ribs Mounted on One Wall,” Numerical Heat Transfer A, 45, pp. 363375 (2004).CrossRefGoogle Scholar
25.Leu, J. M., Chan, H. C. and Chu, M. S.“Comparison of Turbulent Flow Over Solid and Porous Structures Mounted on the Bottom of a Rectangular Channel,” Flow Measurement and Instrumentation, 19, pp. 331337(2008).CrossRefGoogle Scholar
26.Pedras, M. H. J. and de Lemos, M. J. S., “Macroscopic Turbulence Modeling for Incompressible Flow Through Undeformable Porous Media,” International. Journal of Heat and Mass Transfer, 44, pp. 10811093 (2001a).CrossRefGoogle Scholar
27.Pedras, M. H. J. and de Lemos, M. J. S., “Simulation of Turbulent Flow in Porous Media Using a Spatially Periodic Array and a Low Re Two-Equation Closure,” Numerical Heat Transfer A, 39, pp. 3559 (2001b).CrossRefGoogle Scholar
28.Alfrink, B. J. and Van Rijn, L. C. “Two-Equation Turbulence Model for Flow in Trenches,” Journal of Hydraulic Engineering 109, pp. 945958 (1983).CrossRefGoogle Scholar