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Research Papers

Numerical Study of Radiation Characteristics in a Dish Solar Collector System

[+] Author and Article Information
Yong Shuai

 Institute of Aeronautical and Astronautical Thermophysics, School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, P.R. Chinashuaiyong78@yahoo.com.cn

Xin-Lin Xia

 Institute of Aeronautical and Astronautical Thermophysics, School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, P.R. China

He-Ping Tan1

 Institute of Aeronautical and Astronautical Thermophysics, School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, P.R. Chinatanheping77@yahoo.com.cn

1

Corresponding author.

J. Sol. Energy Eng 130(2), 021001 (Feb 14, 2008) (8 pages) doi:10.1115/1.2840570 History: Received November 01, 2006; Revised August 12, 2007; Published February 14, 2008

This paper aims at predicting radiation characteristics of the solar collector system by the Monte Carlo method with respect to the corresponding optical properties. Several probability models were introduced to analyze the effects of sunshape and surface roughness. Directional characteristics of radiative flux in the focal region and flux distribution of the cavity receiver were considered. An equivalent radiation flux method is presented for designing the shape of the cavity receiver. Based on the relative numerical simulation results, a new shape cavity receiver called “upside-down tear drop” is proposed to meet an almost uniform radiation flux field. Radiation effects due to multiple reflections and thermal emission in the cavity are parametrized by using the radiative exchange factor. The calculation results can be a valuable reference for the design and assemblage of the dish solar collector system.

Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic diagram of the solar concentrator system

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Figure 2

A simplified flow diagram for the Monte Carlo simulation

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Figure 3

Effect of limb darkening parameter for normalized intensity

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Figure 4

The solar image for various CSRs for a paraboloidal dish with a diameter of 5m, focal length of 3m, and reflectivity of 0.9

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Figure 5

Comparison of measured value distribution and an appropriate Gaussian distribution of the standard deviation 3.5mrad for the surface normal errors

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Figure 6

Effect of surface slope error for flux distributions at the focal plane at an ideal paraboloidal dish having a focal length of 1m and rim angle of 45deg

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Figure 7

Five sampling positions in the focal region for analyzing directional characteristics of focal flux

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Figure 8

Effect of rim angles for direction distribution of focal flux at a paraboloidal dish having a focal length of 3m: (a) φrim=30deg, φrim=60deg and (b) φrim=45deg, φrim=75deg

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Figure 9

Comparison of flux distributions at the focal plane for ideal paraboloidal dish having a focal length of 1m and rim angles of 45deg and 60deg

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Figure 10

Concentration ratio of focal region for a paraboloidal dish having a focal length of 3m and rim angle of 45deg

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Figure 11

Flux distribution in the sidewall of the cavity receiver for a solar collector system having a focal length of 3m and rim angle of 45deg

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Figure 12

The calculation flowchart of shape optimization code

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Figure 13

The sketch shape pattern of cavity receiver with uniform radiation flux: (a) 3D view and (b) 2D view

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Figure 14

Wall flux profile of different cavity receivers for a solar collector system having a focal length of 3m and rim angle of 45deg

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Figure 15

Shape pattern of new cavity receiver with different focal lengths and rim angles: (a) f=1000mm,φrim=45deg; Rmax=35.48mm,α=49.65deg; (b) f=2000mm,φrim=45deg; Rmax=64.14mm,α=51.45deg; (c) f=3000mm,φrim=45deg; Rmax=88.99mm,α=52.05deg; (d) f=3000mm,φrim=30deg; Rmax=54.72mm,α=63.75deg; (e) f=3000mm,φrim=60deg; Rmax=126.42mm,α=42.07deg; and (f) f=3000mm,φrim=75deg; Rmax=167.18mm,α=27.15deg

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Figure 16

The dimensionless flux as a function of the normalized radius for the “upside-down tear drop” receiver of various absorptivities

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Figure 17

The radiative exchange factor from cavity element to the cavity aperture as a function of the normalized radius for two different cavity receivers of various emissivities

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Figure 18

Magnitude of loss mechanisms for new shape cavity and half sperical cavity in view of various emissivities

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