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Research Papers: Natural and Mixed Convection

Numerical Simulations of Natural Convective Heat Transfer in Vertical Concentric and Eccentric Annular Channels

[+] Author and Article Information
A. A. Busedra

Department of Mechanical Engineering,
University of Benghazi,
Benghazi 16063, Libya
e-mail: abdulkarim.busedra@uob.edu.ly

S. Tavoularis

Department of Mechanical Engineering,
University of Ottawa,
161 Louis Pasteur,
Ottawa, ON K1N 6N5, Canada
e-mail: Stavros.tavoularis@uottawa.ca

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received June 12, 2017; final manuscript received May 16, 2018; published online June 11, 2018. Assoc. Editor: Zhixiong Guo.

J. Heat Transfer 140(10), 102502 (Jun 11, 2018) (12 pages) Paper No: HT-17-1341; doi: 10.1115/1.4040412 History: Received June 12, 2017; Revised May 16, 2018

Natural convective heat transfer in a concentric and a highly eccentric, vertical, open ended, annular channel has been investigated numerically. The inner to outer diameter ratio was 0.61, and the height to hydraulic diameter ratio was 18:1. Three heating modes were considered, all having uniform heat flux applied to one or both of the two walls, while the unheated wall was kept adiabatic. The wall temperature distribution, mass flow rate, and midchannel Nusselt number for the case with both walls heated were found to be in excellent agreement with available experimental results. For the same heating conditions, the heat transfer rate in the concentric annular channel was found to be greater than that in the highly eccentric channel, while the mass flow rate was higher in the eccentric channel. A novel finding for the eccentric channel was that the location of maximum velocity was intermediate between the narrow and wide gaps. Another novel observation, which was attributed to radiation effects, was that the fluid temperature in the wide gap region was lower than that of an adiabatic wall. The paper contains additional observations that would be of interest to designers of systems containing annular channels.

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Figures

Grahic Jump Location
Fig. 1

Geometry of the annular channel and coordinate system

Grahic Jump Location
Fig. 2

Wall temperature distribution along the annular channel computed by neglecting radiation (a) and (c) and by including radiation (b) and (d)

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Fig. 3

Axial velocity and temperature profiles in the concentric annular channel for constant wall heat flux; X=(r−ri)/(ro−ri), where r is the radial coordinate

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Fig. 4

Axial velocity and temperature profiles in the concentric annular channel for constant heating power; X=(r−ri)/(ro−ri), where r is the radial coordinate

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Fig. 5

Axial variation of the average Nusselt number in the concentric annular channel

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Fig. 6

Contour maps of axial velocity in the highly eccentric annular channel

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Fig. 7

Contour maps of temperature rise in the highly eccentric annular channel

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Fig. 8

Axial variation of the Nusselt number in the highly eccentric annular channel

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Fig. 9

Contour maps of axial velocity and temperature near the exit of the highly eccentric annular channel

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Fig. 10

Contour maps of axial velocity and temperature near the exit of the highly eccentric annular channel for cases with both walls heated at different wall heat fluxes

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