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# Heat Transfer Characterization of Two Isothermal Circular Cylinders in Proximity

[+] Author and Article Information
Taeheon Han, Kyongjun Lee

Department of Mechanical Engineering, Inha University, Incheon 402-751, Republic of Korea

Kyung-Soo Yang1

Department of Mechanical Engineering, Inha University, Incheon 402-751, Republic of Koreaksyang@inha.ac.kr

1

Corresponding author.

J. Heat Transfer 132(3), 034504 (Dec 29, 2009) (4 pages) doi:10.1115/1.4000058 History: Received May 05, 2009; Revised July 23, 2009; Published December 29, 2009; Online December 29, 2009

## Abstract

Heat transfer on two nearby isothermal circular cylinders of equal diameter immersed in a uniform crossflow at $Re=120$ and $Pr=0.7$ was numerically studied. We consider all possible arrangements of the two cylinders in terms of the distance between the two cylinders and the inclination angle with respect to the direction of the main flow. It turns out that significant changes in the characteristics of heat transfer are noticed depending on how they are positioned, resulting in quantitative changes in heat transfer coefficients of both cylinders. Collecting all of the numerical results obtained, we propose a contour diagram for averaged Nusselt number for each of the two cylinders. The geometrical symmetry implied in the flow configuration allows one to use those diagrams to estimate heat transfer rates on two isothermal circular cylinders of equal diameter arbitrarily positioned in physical space with respect to the main flow direction.

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## Figures

Figure 1

Physical configuration: (a) staggered position of two circular cylinders and (b) locations of the center of the surrounding circular cylinder, indicated by dots

Figure 2

Computational mesh for the case of L/D=1.5 and H/D=0.5

Figure 3

Distribution of Nu¯ along the cylinder surface at Re=120 and Pr=0.7

Figure 4

Contours of normalized Nus¯ for two staggered circular cylinders at Re=120, Pr=0.7, normalized with the single cylinder value (Nus¯=5.36): (a) main cylinder and (b) surrounding cylinder. Increment: 0.05 from 0.4 to 0.9; 0.01 from 0.9 to 1.05.

Figure 5

(a) Contours of average of normalized Nus¯ of the main and the surrounding cylinders and (b) contours of difference in normalized Nus¯ between the main cylinder and the surrounding cylinder; Re=120 and Pr=0.7. Increment: (a) 0.05 from 0.4 to 0.9; 0.01 from 0.9 to 1.05; and (b) 0.05 from −0.6 to −0.05 and from 0.05 to 0.6; 0.01 from −0.05 to 0.05.

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