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Numerical simulation of laminar natural convection heat transfer from three horizontal attached cylinders

  • SHI Hongyan ,
  • LIU Jie ,
  • LU Wenqiang
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  • College of Engineering Science, University of Chinese Academy of Sciences, Beijing 100049, China

Received date: 2017-07-20

  Revised date: 2017-10-20

  Online published: 2018-09-15

Abstract

In this study, by applying the new computational model proposed by Bejan, laminar natural convection heat transfer from three horizontal attached cylinders has been studied numerically over the Rayleigh number range 10 ≤ Ra ≤ 106 and at the Prandtl number Pr=0.707 0. The comprehensive results consisting of streamlines, isothermal contours, and local and average Nusselt numbers are presented with different Rayleigh numbers. The obtained results show that a vortex is formed in the space between the adjacent two cylinders. The maximum local Nusselt number appears near θ=140°, and it increases with the Rayleigh number. Furthermore, this work accurately fits the equation dascribing the variation of average Nusselt number of the three cylinders with Rayleigh number. Hence the heat transfer coefficient of natural convection can be determined, and an accurate reference value is provided for industrial application.

Cite this article

SHI Hongyan , LIU Jie , LU Wenqiang . Numerical simulation of laminar natural convection heat transfer from three horizontal attached cylinders[J]. Journal of University of Chinese Academy of Sciences, 2018 , 35(5) : 595 -601 . DOI: 10.7523/j.issn.2095-6134.2018.05.004

References

[1] Incropera F P, Dewitt D P, Bergman T L, et al. Fundamentals of heat and mass transfer[M]. 7th ed. Indiana:John Wiley & Sons, 2011:595-630.
[2] 杨世铭, 陶文铨. 传热学[M]. 4版. 北京:高等教育出版社, 2006:197-276.
[3] Holman J P. Heat transfer[M]. 10th ed. New York:Mcgraw-Hill Education, 2010:215-375.
[4] Morgan V T. The overall convective heat transfer from smooth circular cylinders[J]. Advanced Heat Transfer, 1975, 11:199-210.
[5] Churchill S W, Chu H S. Correlating equations for laminar and turbulent free convection from a horizontal cylinder[J]. International Journal of Heat and Mass Transfer, 1975, 18(9):1049-1053.
[6] Lieberman J, Gebhart B. Interactions in natural convection from an array of heated elements experimental[J]. International Journal of Heat and Mass Transfer, 1969, 12(11):1385-1396.
[7] Marsters G F. Arrays of heated horizontal cylinders in natural convection[J]. International Journal of Heat and Mass Transfer, 1972, 15(5):921-933.
[8] Sadeghipour M S, Asheghi M. Free convection heat transfer from arrays of vertically separated horizontal cylinders at low Rayleigh numbers[J]. International Journal of Heat and Mass Transfer, 1994, 37(1):103-109.
[9] Ashjaee M, Yousefi T. Experimental study of free convection heat transfer from horizontal isothermal cylinders arranged in vertical and inclined arrays[J]. Heat Transfer Engineering, 2007, 28(5):460-471.
[10] Grafsronningen S, Jensen A. Natural convection heat transfer from three vertically arranged horizontal cylinders with dissimilar separation distance at moderately high Rayleigh numbers[J]. International Journal of Heat and Mass Transfer, 2013, 57(2):519-527.
[11] Kitamura K, Mitsuishi A, Suzuki T, et al.Fluid flow and heat transfer of natural convection induced around a vertical row of heated horizontal cylinders[J]. International Journal of Heat and Mass Transfer, 2016, 92:414-429.
[12] Corcione M. Correlating equations for free convection heat transfer from horizontal isothermal cylinders set in a vertical array[J]. International Journal of Heat and Mass Transfer, 2005, 48(17):3660-3673.
[13] Bejan A, Fowler A J, Stanescu G.The optimal spacing between horizontal cylinders in a fixed volume cooled by natural convection[J]. International Journal of Heat and Mass Transfer, 1995, 38(11):2047-2055.
[14] Liu J, Liu H, Zhen Q, et al. Numerical investigation of the laminar natural convection heat transfer from two horizontally attached horizontal cylinders[J]. International Journal of Heat and Mass Transfer, 2017, 104:517-532.
[15] Liu J, Liu H, Zhen Q, et al. Laminar natural convection heat transfer from a pair of attached horizontal cylinders set in a vertical array[J]. Applied Thermal Engineering, 2017, 115:1004-1019.
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