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Research Papers: Energy Systems Analysis

Optimal Design of a Solar Collector for Required Flux Distribution on a Tubular Receiver

[+] Author and Article Information
Muhammad Ibrar Hussain

Mechanical Engineering Department,
King Fahd University of Petroleum and Minerals,
Dhahran 31261, Saudi Arabia
e-mail: ibrar@kfupm.edu.sa

Esmail M. A. Mokheimer

Mem. ASME
Mechanical Engineering Department,
King Fahd University of Petroleum and Minerals,
P. O. Box: 279,
Dhahran 31261, Saudi Arabia;
Center of Research Excellence in Renewable
Energy (CoRERE),
King Fahd University
of Petroleum and Minerals (KFUPM),
P. O. Box: 279,
Dhahran 31261, Saudi Arabia
e-mail: esmailm@kfupm.edu.sa

Shakeel Ahmed

Centre for Refining & Petrochemicals,
Research Institute,
King Fahd University of Petroleum
and Minerals (KFUPM),
Dhahran 31261, Saudi Arabia
e-mail: shakeel@kfupm.edu.sa

1Corresponding author.

Contributed by the Advanced Energy Systems Division of ASME for publication in the JOURNAL OF ENERGY RESOURCES TECHNOLOGY. Manuscript received February 10, 2016; final manuscript received November 26, 2016; published online December 21, 2016. Editor: Hameed Metghalchi.

J. Energy Resour. Technol 139(1), 012006 (Dec 21, 2016) (8 pages) Paper No: JERT-16-1083; doi: 10.1115/1.4035361 History: Received February 10, 2016; Revised November 26, 2016

A mathematical model has been derived and used to develop a three-dimensional concentrating solar collector as presented in this article. The developed solar collector gives the required flux distribution along the longitudinal direction of tubular absorber. The model requires inputs like the profile of required flux distribution, local solar flux, dimensions of the absorber, and the distance of absorber from the reflector. The model is developed under the most common assumptions and showed a high validity of 99.99%. The effects of inputs on the design geometrical parameters such as curvature, steepness, surface area, and aperture diameter, which affect the manufacturing, space limitations, and cost analysis, are presented and discussed. It is shown that decreasing the initial radius, solar flux, and slope of flux distribution required at the absorber surface results in a less steep reflecting surface (RS), which is also favored with increase in absorber's radius and initial angles. Smaller reflecting surface area can be obtained by using larger values of initial radius, solar flux, and slope of the absorber flux distribution. Smaller initial curvatures can also be obtained by increasing initial angle, absorber's radius, and slope of flux distribution. Decreasing the initial radius, initial angle, and absorber's radius can limit the aperture's diameter such that it could fit the space limitation. Locations' high solar flux would reduce the aperture's diameter.

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References

Figures

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Fig. 1

Relationship of local and global co-ordinates

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Fig. 2

Angular relationship of intercepting and reflected ray

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Fig. 11

Variation of surface area with initial radius, ri

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Fig. 12

Variation of aperture's diameter with initial radius, ri

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Fig. 6

Reflecting surfaces for different values of incoming solar flux, B

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Fig. 7

Variation of surface area with incoming solar flux, B

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Fig. 8

Variation of curvature for different values of incoming solar flux, B

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Fig. 9

Reflecting surfaces for different values of ri

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Fig. 10

Variation of curvature for different values of initial radius, ri

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Fig. 3

Final curve of RS for optimal heat flux profile for SMR

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Fig. 4

Path of rays reflecting from resulting RS

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Fig. 5

Comparison of required and achieved fluxes

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Fig. 13

Reflecting surfaces for different values of θi

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Fig. 14

Variation of surface area with initial angle, θi

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Fig. 15

Variation of curvature for different values of initial angle, θi

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Fig. 16

Variation of aperture diameter for different values of initial angle, θi

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Fig. 17

Reflecting surfaces for different flux distributions

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Fig. 18

Variation of surface area for different values of slopes

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Fig. 19

Variation of curvature for different slopes of a linear heat flux profile required at the absorber surface

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