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TECHNICAL PAPERS

Large Eddy Simulation of Flow and Heat Transfer in a 90 deg Ribbed Duct With Rotation: Effect of Coriolis and Centrifugal Buoyancy Forces

[+] Author and Article Information
Samer Abdel-Wahab, Danesh K. Tafti

Mechanical Engineering Department, Virginia Tech, Blacksburg, Virginia 24061 USA

J. Turbomach 126(4), 627-636 (Dec 29, 2004) (10 pages) doi:10.1115/1.1791648 History: Received October 01, 2003; Revised March 01, 2004; Online December 29, 2004
Copyright © 2004 by ASME
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References

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Watanabe, K., and Takahashi, T., 2002, “LES Simulation and Experimental Measurement of Fully Developed Ribbed Channel Flow and Heat Transfer,” ASME Paper No. 2002-GT-30203.
Murata,  A., and Mochizuki,  S., 1999, “Effect of Cross-Sectional Aspect Ratio on Turbulent Heat Transfer in an Orthogonally Rotating Rectangular Smooth Duct,” Int. J. Heat Mass Transfer, 42, pp. 3803–3814.
Murata,  A., and Mochizuki,  S., 2000, “Large, Eddy Simulation With a Dynamic Subgrid-Scale Model of Turbulent Heat Transfer in an Orthogonally Rotating Rectangular Duct With Transverse Rib Turbulators,” Int. J. Heat Mass Transfer, 43, pp. 1243–1259.
Murata,  A., and Mochizuki,  S., 2001, “Comparison Between Laminar and Turbulent Heat Transfer in a Stationary Square Duct With Transverse or Angled Rib Turbulators,” Int. J. Heat Mass Transfer, 44, pp. 1127–1141.
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Bo,  T., Iacovides,  H., and Launder,  B. E., 1995, “Developing Buoyancy-Modified Turbulent Flow in Ducts Rotating in Orthogonal Mode,” ASME J. Turbomach., 177, pp. 474–484.
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Saidi,  A., and Sunden,  B., 2001, “On Prediction of Thermal-Hydraulic Characteristics of Square-Sectioned Ribbed Cooling Ducts,” ASME J. Turbomach., 123, pp. 614–620.
Parsons,  J. A., Han,  J. C., and Zang,  Y. M., 1994, “Wall Heating Effect on Local Heat Transfer in a Rotating Two-Pass Square Channel With 90° Rib Turbulators,” Int. J. Heat Mass Transfer, 37, pp. 1411–1420.
Ekkad,  S. V., and Han,  J. C., 1997, “Detailed Heat Transfer Distributions in Two-Pass Square Channels With Rib Turbulators,” Int. J. Heat Mass Transfer, 40, pp. 2525–2537.
Wagner,  J. H., Johnson,  B. V., Graziani,  R. A., and Yeh,  F. C., 1992, “Heat Transfer in Rotating Serpentine Passages With Trips Normal to the Flow,” ASME J. Turbomach., 114, pp. 847–857.
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Figures

Grahic Jump Location
Streamwise periodic computational domain. Flow is in the x direction and rotation vector is along the +ve z axis.
Grahic Jump Location
Mean streamlines on the leading side of the center plane z=0.5 for two rotation numbers and increasing Richardson number. The large separation region behind the rib grows on the leading side, while remaining constant on the trailing side (not shown).
Grahic Jump Location
Contours of mean velocity at x=0.5 at the midrotation number with increasing Richardson number. Illustrated is the strong impingement of flow onto the smooth sidewall which is enhanced by centrifugal buoyancy forces. The left and right sides of the figures show averaged vertical and lateral velocities, respectively. A positive lateral velocity implies impingement on the side wall.
Grahic Jump Location
Turbulent kinetic energy at the center of the duct and midway between ribs (x=0,z=0.5). (a) Effect of Coriolis forces at different rotation numbers; distribution is symmetric about y=0.5 for Ro=0. (b) Effect of centrifugal buoyancy at Ro=0.18. (c) Effect of buoyancy at Ro=0.68. Generally, tke is increased near the trailing side (bottom) and decreases near the leading side (top). The effect of centrifugal buoyancy on tke is similar to that of Coriolis forces.
Grahic Jump Location
Turbulent shear stress at the center of the duct (x=0,z=0.5) for two different rotation numbers and for varying Richardson numbers. There is a large increase in turbulent shear stress on the trailing side (bottom) due to centrifugal buoyancy forces.
Grahic Jump Location
Contours of surface averaged Nusselt numbers for Ro=0.39 and Ri=29.7. Sidewall impingement on the trailing side of the smooth wall dominates heat transfer augmentation in that section. The reattachment region on the trailing side shows heat transfer augmentation of 6, which is a local maximum.
Grahic Jump Location
Comparison of average Nusselt number augmentation ratios at the leading and trailing sides with experiments. Liou et al. 16: Re=10 000, e/Dh=0.136 and P/e=10; Parsons et al. 13: Re=5000, e/Dh=0.125.P/e=10; Wagner et al. 15 Re=25 000, e/Dh=0.1,P/e=10, buoyancy information in table above.

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