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Research Papers: Natural and Mixed Convection

Numerical Investigation of Natural Convection Heat Transfer From a Stack of Horizontal Cylinders

[+] Author and Article Information
Subhasisa Rath

School of Energy Science and Engineering,
Indian Institute of Technology Kharagpur,
Kharagpur 721302, West Bengal, India
e-mail: subhasisa.rath@gmail.com

Sukanta Kumar Dash

Department of Mechanical Engineering,
Indian Institute of Technology Kharagpur,
Kharagpur 721302, West Bengal, India
e-mail: sdash@mech.iitkgp.ernet.in

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received September 22, 2017; final manuscript received July 13, 2018; published online October 8, 2018. Assoc. Editor: Zhixiong Guo.

J. Heat Transfer 141(1), 012501 (Oct 08, 2018) (10 pages) Paper No: HT-17-1560; doi: 10.1115/1.4040954 History: Received September 22, 2017; Revised July 13, 2018

Natural convection heat transfer from horizontal solid cylinders has been studied numerically by varying the Rayleigh number in the range of (104≤Ra≤108) and (1010Ra1013) for both laminar and turbulent flows, respectively. The computations were carried out for three different geometries of three, six, and ten cylinders in a stack arranged in a triangular manner having same characteristic length scale. The present numerical investigation on natural convention is able to capture a very interesting flow pattern and temperature field over the stack of horizontal cylinders which has never been reported in the literature so far. Visualization of plume structure over the horizontal cylinders has also been obtained pictorially in the present work. From the numerical results, it has been observed that the total heat transfer is marginally higher for three-cylinder stack in the laminar range. In contrast, for turbulent flow, starting from Ra = 1010, heat transfer for six-cylinder case is higher but when Ra exceeds 5 × 1011, heat transfer for ten cylinders stack is marginally higher. The average surface Nusselt number is higher for the stack of three cylinders compared to six- and ten-cylinder cases for all range of Ra in both laminar and turbulent regimes. A correlation for the average Nusselt number has also been developed as a function of Rayleigh number which may be useful for researchers and industrial purposes.

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References

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Figures

Grahic Jump Location
Fig. 1

Stacks of horizontal cylinders lying in the bay for cooling2 (Reprinted with permission of Hebei Tobee Group Co., Limited)

Grahic Jump Location
Fig. 2

Schematic diagram of the physical problem: (a) three-cylinders, (b) six-cylinders, and (c) ten-cylinders

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Fig. 3

Variation of Nu with domain size: (a) laminar and (b) turbulent flows

Grahic Jump Location
Fig. 4

Schematic representation of computational grids with blown up view

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Fig. 5

Variation of Nu with computational cells: (a) laminar and (b) turbulent flows

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Fig. 6

Variation of Nu with Ra for a single cylinder, a comparison with experimental correlation

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Fig. 7

Variation of Q with Ra: (a) laminar and (b) turbulent flows

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Fig. 8

Variation of Nu with Ra: (a) laminar and (b) turbulent flows

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Fig. 9

Contours of static temperature with varying Ra: (a) three-cylinders (Laminar), (b) three-cylinders (Turbulent), (c) six-cylinders (Laminar), (d) six-cylinders (Turbulent), (e) ten-cylinders (Laminar), and (f) ten-cylinders (Turbulent)

Grahic Jump Location
Fig. 10

Plot of velocity vectors for (a) laminar flow (Ra = 105) and (b) turbulent flow (Ra = 1010) around the stacks of three, six, and ten cylinders

Grahic Jump Location
Fig. 11

Predicted and computed values of Nu for laminar and turbulent flows for different stacks of horizontal cylinders

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