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Technical Briefs

Horizontal Tubular Microalgae Photobioreactor Plant View Factors and Diffuse Radiation

[+] Author and Article Information
T. Maor, J. Appelbaum

Faculty of Engineering, Tel Aviv University, Tel Aviv, 69978, Israelappel@eng.tau.ac.il

J. Sol. Energy Eng 133(2), 024503 (Mar 23, 2011) (7 pages) doi:10.1115/1.4003628 History: Received June 24, 2010; Revised January 26, 2011; Published March 23, 2011; Online March 23, 2011

Different view factors and different components of the diffuse solar radiation impinging on a photobioreactor plant for cultivating microalgae products are formulated and calculated in the present article. The outdoor plant consists of multiple horizontal tubes arranged in multiple vertical walls. The diffuse radiation on a tube may come from three directions of the sky: from the aperture between the walls (from the sky above), from the penetration of the diffuse radiation between the tubes, and from the plant edges. Each component of the diffuse radiation is associated with a different view factor. For design parameters of a practical plant, the largest component of the diffuse radiation comes from the sky above the plant.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 2

Directions of diffuse radiation: 1, from the aperture between the walls in the direction perpendicular to the ground; 2, penetration of the radiation between the tubes; 3, from the aperture between the walls in the direction parallel to the ground

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Figure 3

Diffuse radiation penetrating spaces between tubes

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Figure 4

An infinitesimal strip to a cylinder for view factor calculation

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Figure 5

Effective space Seff(i,j)

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Figure 6

Area of diffuse radiation in direction parallel to the ground

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Figure 7

A cylinder and a triangle for view factor calculation

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Figure 8

View factor between a cylinder and a triangle (5)

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Figure 9

Exposed width between walls to diffuse radiation in the direction perpendicular to ground

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Figure 11

Individual tube view factors

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Figure 12

Components of the yearly diffuse energy on the plant as function of the ratio H/D

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Figure 13

Expanded view factor of Fig. 8 based on Eq. 1 and Table 1

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