0
Research Papers

Heat Transfer of a Rotating Rectangular Channel With a Diamond-Shaped Pin-Fin Array at High Rotation Numbers

[+] Author and Article Information
S. W. Chang

Professor
Thermal Fluids Laboratory,
National Kaohsiung Marine University,
No. 142 Haijhuan Road,
Nanzih District Kaohsiung City 81143
Taiwan, ROC
e-mail: swchang@mail.nkmu.edu.tw

T.-M. Liou

Professor
Department of Power Mechanical Engineering,
National Tsing Hua University,
No. 101 Section 2 Kuang Fu Road,
Hsinchu 30013 Taiwan, ROC
e-mail: tmliou@pme.nthu.edu.tw

T.-H. Lee

Research student
Department of Marine Engineering,
National Kaohsiung Marine University,
No. 142 Haijhuan Road,
Nanzih District, Kaohsiung City 81143
Taiwan, ROC
e-mail: 991532105@stu.nkmu.edu.tw

1Corresponding author.

Contributed by the International Gas Turbine Institute (IGTI) of ASME for publication in the Journal of Turbomachinery. Manuscript received July 4, 2012; final manuscript received August 3, 2012; published online June 3, 2013. Assoc. Editor: David Wisler.

J. Turbomach 135(4), 041007 (Jun 03, 2013) (10 pages) Paper No: TURBO-12-1125; doi: 10.1115/1.4007684 History: Received July 04, 2012; Revised August 03, 2012

This experimental study measured the detailed Nusselt numbers (Nu) distributions over two opposite leading and trailing walls of a rotating rectangular channel fitted with a diamond-shaped pin-fin array with radially outward flow for gas turbine rotor blade cooling applications. The combined and isolated effects of Reynolds (Re), rotation (Ro), and buoyancy (Bu) numbers on local and area-averaged Nusselt numbers (Nu and Nu¯) were examined at the test conditions of 5000 ≤ Re ≤ 15,000, 0 ≤ Ro ≤ 0.6, and 0.0007 ≤ Bu ≤ 0.31. The present infrared thermography method enables the generation of full-field Nu scans over the rotating end walls at the realistic engine Ro conditions as the first attempt to reveal the combined rotating buoyancy and Coriolis force effects on heat transfer properties. The selected heat transfer results demonstrate the Coriolis and rotating-buoyancy effects on the heat transfer performances of this rotating channel. Acting by the combined Coriolis and rotating buoyancy effects on the area-averaged heat transfer properties, the rotating leading and trailing area-averaged Nusselt numbers are modified, respectively, to 0.82–1.52 and 1–1.89 times the static channel references. A set of physically consistent empirical Nu¯ correlations was generated to permit the assessments of individual and interdependent Re, Ro, and Bu effects on the area-averaged heat transfer properties over leading and trailing end walls.

FIGURES IN THIS ARTICLE
<>
Copyright © 2013 by ASME
Your Session has timed out. Please sign back in to continue.

References

Van Fossen, G. J., 1982, “Heat Transfer Coefficients for Staggered Arrays of Short Pin Fins,” ASME J. Eng. Power, 104, pp. 268–274. [CrossRef]
Armstrong, J., and Winstanley, D., 1988, “A Review of Staggered Array Pin Fin Heat Transfer for Turbine Cooling Applications,” ASME J. Turbomach., 110, pp. 94–103. [CrossRef]
Chyu, M. K., 1990, “Heat Transfer and Pressure Drop for Short Pin-Fin Arrays and Pin-Endwall Fillet,” ASME J. Heat Transfer, 112, pp. 926–932. [CrossRef]
Won, S. Y., Mahmood, G. I., and Ligrani, P. M., 2004, “Spatially-Resolved Heat Transfer and Flow Structure in a Rectangular Channel With Pin Fins,” Int. J. Heat Mass Transfer, 47, pp. 1731–1743. [CrossRef]
Chyu, M. K., and Goldstein, R. J., 1991, “Influence of an Array of Wall-Mounted Cylinders on the Mass Transfer From a Flat Surface,” Int. J. Heat Mass Transfer, 34, pp. 2175–2186. [CrossRef]
Chyu, M. K., and Natarajan, V., 1996, “Heat Transfer on the Base Surface of Three-Dimensional Protruding Elements,” Int. J. Heat Mass Transfer, 39, pp. 2925–2935. [CrossRef]
Chyu, M. K., Hsing, Y. C., Shih, T. I.-P., and Natarajan, V., 1999, “Heat Transfer Contributions of Pins and Endwalls in Pin-Fin Array: Effects of Thermal Boundary Condition Modeling,” ASME J. Turbomach., 121, pp. 257–263. [CrossRef]
Metzger, D. E., Berry, R. A., and Bronson, J. P., 1982, “Developing Heat Transfer in Rectangular Ducts With Staggered Arrays of Short Pin Fins,” ASME J. Heat Transfer, 104, pp. 700–706. [CrossRef]
Jun, S. P., Kyung, M. K., Dong, H. L., Cho, H. H., and Chyu, M. K., 2011, “Heat Transfer in Rotating Channel With Inclined Pin-Fins,” ASME J. Turbomach., 133, p. 021003. [CrossRef]
Bianchini, C., Facchini, B., Simonetti, F., Tarchi, L., and Zecchi, S., 2012, “Numerical and Experimental Investigation of Turning Flow Effects on Innovative Pin Fin Arrangements for Trailing Edge Cooling,” ASME J. Turbomach., 134, p. 021005. [CrossRef]
Jubran, B. A., Hamdan, M. A., and Abdualh, R. M., 1993, “Enhanced Heat Transfer, Missing Pin and Optimization for Cylindrical Pin Fin Arrays,” ASME J. Heat Transfer, 115, pp. 576–583. [CrossRef]
Chyu, M. K., and Natarajan, V., 1994, “Effect of Flow Angle-of-Attach on the Local Heat/Mass Transfer Distributions From a Wall-Mounted Cube,” ASME J. Heat Transfer, 116, pp. 552–560. [CrossRef]
Chyu, M. K., Oluyede, E. O., and Moon, H.-K., 2007, “Heat Transfer on Convective Surfaces With Pin-Fins Mounted in Inclined Angles,” ASME Turbo Expo, May 14–17, Montreal, Canada, Paper No. GT2007-28138.
Sahiti, N., Durst, F., and Geremia, P., 2007, Selection and Optimization of Pin Cross-Sections for Electronics Cooling,” Appl. Thermal Eng., 27, pp. 111–119. [CrossRef]
Willett, F. T., and Bergles, A. E.2002, “Heat Transfer in Rotating Narrow Rectangular Pin-Fin Ducts,” Exp. Thermal Fluid Sci., 25, pp. 573–582. [CrossRef]
Chang, S. W., Liou, T.-M., Yang, T. L., and Hong, G. F., 2010, “Heat Transfer in Radially Rotating Pin-fin Channel at High Rotation Numbers,” ASME J. Turbomach., 132, p. 021019. [CrossRef]
Sleiti, A. K., and Kapat, J. S., 2008, “Effect of Coriolis and Centrifugal Forces on Turbulence and Transport at High Rotation and Density Ratios in a Rib-Roughened Channel,” Int. J. Thermal Sciences, 47, pp. 609–619. [CrossRef]
Chang, S. W., Liou, T.-M., and Po, Y., 2010, “Coriolis and Rotating Buoyancy Effect on Detailed Heat Transfer Distributions in a Two-Pass Square Channel Roughened by 45 deg Ribs at High Rotation Numbers,” Int. J. Heat Mass Transfer, 53, pp. 1349–1363. [CrossRef]
Chang, S. W., Liou, T.-M., and Chen, W.-C., 2012, “Influence of Radial Rotation on Heat Transfer in a Rectangular Channel With Two Opposite Walls Roughened by Hemispherical Protrusions at High Rotation Number,” ASME J. Turbomach., 134, p. 011010. [CrossRef]
Editorial Board of ASME Journal of Heat Transfer, 1993, “Journal of Heat Transfer Policy on Reporting Uncertainties in Experimental Measurements and Results,” ASME J. Heat Transfer, 115, pp 5–6. [CrossRef]
Chyu, M. K., Yen, C. H., and Siw, S., 2007, “Comparison of Heat Transfer From Staggered Pin Fin Arrays With Circular, Cubic and Diamond Shaped Element,” ASME Turbo Expo., May 14–17, Montreal, Canada, Paper No. GT2007-28306.
Metzger, D. E., Fan, C. S., and Haley, S. W., 1984, “Effects of Pin Shape and Array Orientation on Heat Transfer and Pressure Loss in Pin Fin Arrays,” ASME J. Heat Transfer, 106, pp. 252–257. [CrossRef]
Jeng, T.-M, 2006, “Thermal Performance of In-Line Diamond-Shaped Pin Fins in a Rectangular Duct,” Int. Commun. Heat Mass Transfer, 33, pp. 1139–1146. [CrossRef]
Chang, S. W., Yang, T. L., Huang, C. C., and Chiang, K. F., 2008, “Endwall Heat Transfer and Pressure Drop in Rectangular Channels With Attached and Detached Circular Pin-Fin Array,” Int. J. Heat Mass Transfer, 51, pp. 5247–5259. [CrossRef]
Elyyan, M. A., and Tafti, D. K., 2012, “Investigation of Coriolis Forces Effect of Flow Structure and Heat Transfer Distribution in a Rotating Dimpled Channel,” ASME J. Turbomach., 134, p. 031007. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

(a) Test channel, (b) pin-fin array, (c) rotor arms, and (d) conceptual flow structure

Grahic Jump Location
Fig. 2

(a) End wall Nu0 distributions, (b) axial centerline Nu0 and Nu0/Nu profiles, and (c) and (d) spanwise (x-wise) Nu0 and Nu0/Nu profiles across pin rows 9 and 10 at Re = 15,000, Ro = 0

Grahic Jump Location
Fig. 3

Nu¯0 and Nu¯0/Nu against Re on static end wall

Grahic Jump Location
Fig. 4

(a) Leading and (b) trailing end wall Nu distributions. (c) Leading and (d) trailing axial centerline Nu and Nu/Nu0 profiles. (e)–(h) Leading and (i)–(l) trailing spanwise (x-wise) Nu and Nu/Nu0 profiles across pin rows 9 and 10 at Re = 5000, Ro = 0.4, Bu = 0.14.

Grahic Jump Location
Fig. 5

Detailed Nu distributions over leading and trailing end walls with ascending Ro from 0 to 0.3 at the nominal β(Tw − Tf) of 0.11 and Re of 7500

Grahic Jump Location
Fig. 6

Detailed Nu distributions over rotating leading and trailing end walls with ascending Bu at Re = 7500, Ro = 0.3

Grahic Jump Location
Fig. 7

Variations of Nu¯/Nu¯0 against Bu at fixed Ro of 0.075, 0.1, 0.15, 0.2, 0.3, 0.4, and 0.6

Grahic Jump Location
Fig. 8

Variations of (a) ϕ1 and (b) ϕ2 against Ro at zero-buoyancy condition over leading and trailing end walls

Grahic Jump Location
Fig. 9

Comparison of experimental Nu¯/Nu¯0 data with the calculative results

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In