Browse > Article
http://dx.doi.org/10.3795/KSME-B.2012.36.3.259

Effect of Horizontal Pitch-to-Diameter Ratio on the Natural-Convection Heat Transfer of Two Staggered Cylinders  

Chae, Myeong-Seon (Dept. of Energy Engineering, Institute for Nuclear Science and Engineering, Jeju Nat'l Univ.)
Heo, Jeong-Hwan (Dept. of Energy Engineering, Institute for Nuclear Science and Engineering, Jeju Nat'l Univ.)
Chung, Bum-Jin (Dept. of Energy Engineering, Institute for Nuclear Science and Engineering, Jeju Nat'l Univ.)
Publication Information
Transactions of the Korean Society of Mechanical Engineers B / v.36, no.3, 2012 , pp. 259-268 More about this Journal
Abstract
This study measured the natural-convection heat transfer of two vertically staggered cylinders with varying vertical pitch-to-diameter ($P_v$/D) and horizontal pitch-to-diameter ($P_h$/D) ratios. The measured heat-transfer rates for the lower cylinder agreed well with the existing heat-transfer correlations for a single cylinder. At the smallest $P_v$/D, the rising plume from the lower cylinder provides the upper cylinder with a preheated flow, and the heat-transfer rates of the upper cylinder decrease, but increase very sensitively with $P_h$/D. However, at the largest $P_v$/D, the velocity effect dominates, and the heat-transfer rates of the upper cylinder are larger than that of a single cylinder, and decrease less sensitively with $P_h$/D. Even if $P_h$/D is increased, the heat-transfer rate of the upper cylinder is higher than that of the lower cylinder because of the chimney and side flow effects. This work expanded the flow ranges to turbulent flows. The cupric acid-copper sulfate ($H_2SO_4-CuSO_4$) electroplating system was adopted for the measurements of the mass-transfer rates instead of the heat-transfer experiments based on the analogy concept. The measurements were made by varying $P_v$/D (1.02-5) and $P_h$/D (0-2) in both laminar and turbulent flows. The Rayleigh number ranged from $1.5{\times}10^8$ to $2.5{\times}10^{10}$, and the Prandtl number was 2,014.
Keywords
Horizontal Cylinder; Staggered Cylinders; Natural Convection; Analogy; Heat Transfer;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
Times Cited By SCOPUS : 0
연도 인용수 순위
1 Kang, K. U. and Chung, B. J., 2010, "The Effects of the Anode Size and Position on the Limiting Currents of Natural Convection Mass Transfer Experiments in a Vertical Pipe," Trans. of the KSME(B), Vol. 34, No. 1, pp. 1-8.   과학기술학회마을   DOI   ScienceOn
2 Fenech, E. J. and Tobias, C. W., 1960, "Mass Transfer by Free Convection At Horizontal Electrodes," Electrochemical. Acta, Vol. 2, No. 4, pp. 311-325.   DOI   ScienceOn
3 Yuncu, H. and Batta, A., 1994, "Effect of Vertical Separation Distance on Laminar Natural Convection Heat Transfer over Two Vertically Spaced Equitemperature Horizontal Cylinders," Applied Scientific Research, Vol. 52, pp. 259-277.   DOI   ScienceOn
4 Corcione, M., 2005, "Correlating Equations for Free Convection Heat Transfer from Horizontal Isothermal Cylinders Set in a Vertical Array," Int. J. of Heat and Mass Transfer, Vol. 48, No. 17, pp. 3660-3673.   DOI   ScienceOn
5 Sparrow, E. M. and Niethammer, J. E., 1981, "Effect of Vertical Separation Distance and Cylinder-to-Cylinder Temperature Imbalance on Natural Convection for a Pair of Horizontal Cylinders," Trans. of the ASME, Vol. 103, pp. 638-644.   DOI
6 Chae, M. S. and Chung, B. J., 2011, "The Effect of Pitch-to-Diameter on Natural Convection Heat Transfer of Two Vertically Aligned Horizontal Cylinders," Chemical Engineering Science, Article in Press.
7 Sadegh, M. and Asheghi, M., 1994, "Free Convection Heat Transfer From Arrays of Vertically Separated Horizontal Cylinders at Low Rayleigh Numbers," Int. J. Heat Mass Transfer, Vol. 37, No. 1, pp. 103-109.   DOI   ScienceOn
8 Lieberman, J. and Gebhart, B., 1969, "Interactions in Natural Convection from an Array of Heated Elements, Experimental," Int. J. Heat Transfer, Vol. 12, No. 11, pp. 1385-1396.   DOI   ScienceOn
9 Corcione, M., Cianfrini, C., Habib, E. and Giudice, G. M. L., 2008, "Correlating Equations for Laminar Free Convection From Misaligned Horizaontal Cylinders in Interacting Flow Fields," J. Heat Transfer, Vol. 130, No. 5
10 Toshiyuki, M., Koji, S. and Kenzo, K., 2003, "Fluid Flow and Heat Transfer of Natural Convection around Large Horizontal Cylinders: Experiments with Air," Heat Transfer-Asian Research, Vol. 32, No. 4, pp. 293-305.   DOI   ScienceOn
11 Ko, S. H., Moon, K. W. and Chung, B. J., 2006, "Applications of Electroplating Method for Heat Transfer Studies Using Analogy Concept," Nuclear Engineering and Technology, Vol. 38, pp. 251-258.
12 Morgan, V. T., 1975, "The Overall Convective Heat Transfer from Smooth Circular Cylinders, in: T. F. Irvine Jr, J. P. Hartnett (Eds.)," Advance in Heat Transfer, Academic Press, New York, Vol. 11, pp. 199-210.
13 Smith, A. F. J. and Wragg, A. A., 1974, "An Electrochemical Study of Mass Transfer in Free Convection at Vertical Arrays of Horizontal Cylinders," Journal of Applied Electrochemistry, Vol. 4, No. 3, pp. 219-228.   DOI   ScienceOn
14 Marsters, G. F., 1972, "Arrays of Heated Horizontal Cylinders in Natural Convection," Int. J. of Heat and Mass Transfer, Vol. 15, No. 5, pp. 921-933.   DOI   ScienceOn
15 Sparrow, E. M. and Boessneck, D. S., 1983, "Effect of Transverse Misalignment on Natural Convection From a Pair of Parallel, Vertically Stacked, Horizontal Cylinders," J. Heat Transfer, Vol. 105, No. 2, pp. 241-247   DOI
16 Kim, W. S., Talbot, C., Chung, B. J. and Jackson, J. D., 2002, "Variable Property, Mixed Convection, Heat Transfer to Air Flowing in a Vertical Passage of Annular Cross Section : Part 1," ChERD in UK (Chemical Engineering Research and Design), Vol. 80, No. 3, pp. 239-245.
17 Heo, J. H. and Chung B. J., 2011, "Visualization of Natural Convection Heat Transfer on a Horizontal Cylinder using the Copper Electroplating System," Trans. of the KSME(B), Vol. 35, No. 1, pp.43-51.   과학기술학회마을   DOI   ScienceOn
18 Kitamura, K., Kami-iwa, F. and Misumi, T., 1999, "Heat Transfer and Fluid Flow of Natural Convection Around Large Horizontal Cylinders," Int. J. of Heat and Mass Transfer, Vol. 42, No. 22 pp. 4093-4106.
19 McAdams, W. H., 1954, Heat Transmission, 3rd ed., McGraw-Hill, New York, pp. 175-177.
20 Churchill, S. W. and Chu, H. S., 1974, "Correlating Equations for Laminar and Turbulent Free Convection from a Horizontal Cylinder," Int. J. Heat Mass Transfer, Vol. 18, No. 9, pp. 1049-1053.   DOI   ScienceOn
21 Merk, H. L. and Prins, J. A., 1954, "Thermal Convection in Laminar Boundary layers ,I ,II III," Appl. Sci. Res., Vol. 4, No. 11-24, pp. 195-206.   DOI
22 Levich, V. G., 1962, Physicochemical Hydrodynamics, Prentice-Hall, Englewood Cliffs, N. J.
23 Selman, J. R. and Tobias, C. W., 1978, "Mass Transfer Measurement by the Limiting Current Technique," Advances in Chemical Engineering, ELSEVIER, Vol. 10, pp. 211-318.   DOI