Published

2010-07-01

MODELING OF DIRECT SOLAR RADIATION IN A COMPOUND PARABOLIC COLLECTOR (CPC) WITH THE RAY TRACING TECHNIQUE

Keywords:


CPC, direct radiation, modeling, reflection. (es)

Authors

  • JOSÉ A. COLINA-MÁRQUEZ Departamento de Ingeniería Química. Universidad de Cartagena
  • ANDRÉS F. LÓPEZ-VÁSQUEZ Chemical Engineer, M. Sc. Deparatmento de Ingenieria Ambiental. Universidad Libre Bogotá
  • FIDERMAN MACHUCA-MARTÍNEZ Escuela de Ingeniería Química. Universidad del Valle, Cali (Colombia)
The compound parabolic collector (CPC) is a widely used technology in photochemical applications, like photocatalytic reactions. For kinetic purposes in this kind of reaction, the radiation distribution has to be well known, since the reaction rate is strongly dependent on the photon absorption rate. The present work develops a mathematical model which allows simulating the reflection of direct solar radiation on a CPC. Using analytical geometry and vector calculation, equations were evaluated, first for calculating the Cartesian coordinates of the reflecting surface. Later these points are used to calculate incident and reflected rays layouts on the collector. Visual Basic (Excel environment) program was developed for data generation and plotting the reflected rays at any instant. The incident radiation on the receptor was plotted separately displaying the daily direct energy distribution in the absorber. Also the involute length (collector) was calculated with these data, which can be very useful information for collector construction. Results obtained after simulations show that the distribution of incident energy on the absorber surface depends on the surface reflectivity. The incident energy is larger at the top of the absorber than the bottom zone and it is more convenient higher surface reflectivities for more uniform energy distributions. This mathematical model can be a first approach for absorption models which include direct solar radiation in photochemical or photothermal applications.

How to Cite

IEEE

[1]
J. A. COLINA-MÁRQUEZ, A. F. LÓPEZ-VÁSQUEZ, and F. MACHUCA-MARTÍNEZ, “MODELING OF DIRECT SOLAR RADIATION IN A COMPOUND PARABOLIC COLLECTOR (CPC) WITH THE RAY TRACING TECHNIQUE”, DYNA, vol. 77, no. 163, pp. 132–140, Jul. 2010.

ACM

[1]
COLINA-MÁRQUEZ, J.A., LÓPEZ-VÁSQUEZ, A.F. and MACHUCA-MARTÍNEZ, F. 2010. MODELING OF DIRECT SOLAR RADIATION IN A COMPOUND PARABOLIC COLLECTOR (CPC) WITH THE RAY TRACING TECHNIQUE. DYNA. 77, 163 (Jul. 2010), 132–140.

ACS

(1)
COLINA-MÁRQUEZ, J. A.; LÓPEZ-VÁSQUEZ, A. F.; MACHUCA-MARTÍNEZ, F. MODELING OF DIRECT SOLAR RADIATION IN A COMPOUND PARABOLIC COLLECTOR (CPC) WITH THE RAY TRACING TECHNIQUE. DYNA 2010, 77, 132-140.

APA

COLINA-MÁRQUEZ, J. A., LÓPEZ-VÁSQUEZ, A. F. and MACHUCA-MARTÍNEZ, F. (2010). MODELING OF DIRECT SOLAR RADIATION IN A COMPOUND PARABOLIC COLLECTOR (CPC) WITH THE RAY TRACING TECHNIQUE. DYNA, 77(163), 132–140. https://revistas.unal.edu.co/index.php/dyna/article/view/25545

ABNT

COLINA-MÁRQUEZ, J. A.; LÓPEZ-VÁSQUEZ, A. F.; MACHUCA-MARTÍNEZ, F. MODELING OF DIRECT SOLAR RADIATION IN A COMPOUND PARABOLIC COLLECTOR (CPC) WITH THE RAY TRACING TECHNIQUE. DYNA, [S. l.], v. 77, n. 163, p. 132–140, 2010. Disponível em: https://revistas.unal.edu.co/index.php/dyna/article/view/25545. Acesso em: 18 feb. 2025.

Chicago

COLINA-MÁRQUEZ, JOSÉ A., ANDRÉS F. LÓPEZ-VÁSQUEZ, and FIDERMAN MACHUCA-MARTÍNEZ. 2010. “MODELING OF DIRECT SOLAR RADIATION IN A COMPOUND PARABOLIC COLLECTOR (CPC) WITH THE RAY TRACING TECHNIQUE”. DYNA 77 (163):132-40. https://revistas.unal.edu.co/index.php/dyna/article/view/25545.

Harvard

COLINA-MÁRQUEZ, J. A., LÓPEZ-VÁSQUEZ, A. F. and MACHUCA-MARTÍNEZ, F. (2010) “MODELING OF DIRECT SOLAR RADIATION IN A COMPOUND PARABOLIC COLLECTOR (CPC) WITH THE RAY TRACING TECHNIQUE”, DYNA, 77(163), pp. 132–140. Available at: https://revistas.unal.edu.co/index.php/dyna/article/view/25545 (Accessed: 18 February 2025).

MLA

COLINA-MÁRQUEZ, J. A., A. F. LÓPEZ-VÁSQUEZ, and F. MACHUCA-MARTÍNEZ. “MODELING OF DIRECT SOLAR RADIATION IN A COMPOUND PARABOLIC COLLECTOR (CPC) WITH THE RAY TRACING TECHNIQUE”. DYNA, vol. 77, no. 163, July 2010, pp. 132-40, https://revistas.unal.edu.co/index.php/dyna/article/view/25545.

Turabian

COLINA-MÁRQUEZ, JOSÉ A., ANDRÉS F. LÓPEZ-VÁSQUEZ, and FIDERMAN MACHUCA-MARTÍNEZ. “MODELING OF DIRECT SOLAR RADIATION IN A COMPOUND PARABOLIC COLLECTOR (CPC) WITH THE RAY TRACING TECHNIQUE”. DYNA 77, no. 163 (July 1, 2010): 132–140. Accessed February 18, 2025. https://revistas.unal.edu.co/index.php/dyna/article/view/25545.

Vancouver

1.
COLINA-MÁRQUEZ JA, LÓPEZ-VÁSQUEZ AF, MACHUCA-MARTÍNEZ F. MODELING OF DIRECT SOLAR RADIATION IN A COMPOUND PARABOLIC COLLECTOR (CPC) WITH THE RAY TRACING TECHNIQUE. DYNA [Internet]. 2010 Jul. 1 [cited 2025 Feb. 18];77(163):132-40. Available from: https://revistas.unal.edu.co/index.php/dyna/article/view/25545

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