Computer Modelling of the Optical Behavior of Homogenizers in High-Flux Solar Furnaces
Abstract
:1. Introduction
2. Computational Details
2.1. Radiation
2.2. Homogenizers
2.3. Detectors
3. Results and Discussion
3.1. Influence of Number of Reflecting Surfaces
3.2. Influence of Homogenizer Length
3.3. Influence of Homogenizer Position
3.4. Influence of Tilted Reflecting Surfaces
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Abbreviations
CV | Coefficient of Variation |
k0 | Initial wave vector |
L | Focal length, mm |
LAM | Light Analysis Modelling |
LCD | Liquid-Crystal Display |
rM | Maximum circle radius |
r0 | Initial position vector |
α | Rim angle, ° |
θM | Maximum polar angle |
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Number of Rays | Input Radiation CV | Output Radiation CV | Time (s) |
---|---|---|---|
106 | 0.5305 | 0.3053 | 1.9 |
107 | 0.4522 | 0.1170 | 18.9 |
108 | 0.4438 | 0.0746 | 186.1 |
109 | 0.4430 | 0.0688 | 1860.9 |
1010 | 0.4429 | 0.0682 | 18,817.4 |
Random Seed | Input Radiation CV | Output Radiation CV |
---|---|---|
1 | 0.4439 | 0.0744 |
2 | 0.4438 | 0.0746 |
3 | 0.4441 | 0.0744 |
4 | 0.4437 | 0.0743 |
5 | 0.4439 | 0.0744 |
Number of Faces | 3D Perspective | 2D Cross Section | Input Flux | Output Flux |
---|---|---|---|---|
3 | ||||
4 | ||||
4 × 4 | ||||
6 | ||||
8 | ||||
∞ |
Number of Faces | Input Radiation CV | Output Radiation CV | Input Power (No. of Counts) | Output Power (No. of Counts) |
---|---|---|---|---|
3 | 0.261 | 0.116 | 0.337 × 108 | 0.337 × 108 |
4 | 0.444 | 0.074 | 0.702 × 108 | 0.702 × 108 |
4 × 4 | 0.444 | 0.099 | 0.687 × 108 | 0.687 × 108 |
6 | 0.319 | 0.088 | 0.558 × 108 | 0.558 × 108 |
8 | 0.372 | 0.091 | 0.644 × 108 | 0.644 × 108 |
∞ | 0.451 | 0.312 | 0.620 × 108 | 0.620 × 108 |
Homog. Length (mm) | Input Flux | Output Flux | Input Radiation CV | Output Radiation CV | Input Power (No. of Counts) | Output Power (No. of Counts) |
---|---|---|---|---|---|---|
250 | 0.521 | 0.165 | 0.813 × 108 | 0.813 × 108 | ||
300 | 0.487 | 0.085 | 0.758 × 108 | 0.758 × 108 | ||
350 | 0.444 | 0.074 | 0.702 × 108 | 0.702 × 108 | ||
400 | 0.385 | 0.077 | 0.645 × 108 | 0.645 × 108 | ||
450 | 0.321 | 0.072 | 0.589 × 108 | 0.589 × 108 | ||
500 | 0.257 | 0.078 | 0.532 × 108 | 0.532 × 108 |
Homog. Coordinate | Input Flux | Output Flux | Input Radiation CV | Output Radiation CV | Input Power (No. of Counts) | Output Power (No. of Counts) |
---|---|---|---|---|---|---|
Position −175 | 0.539 | 0.068 | 0.990 × 108 | 0.990 × 108 | ||
Position −87.5 | 0.559 | 0.068 | 0.888 × 108 | 0.888 × 108 | ||
Position 0 | 0.444 | 0.074 | 0.702 × 108 | 0.702 × 108 | ||
Position +87.5 | 0.228 | 0.185 | 0.505 × 108 | 0.505 × 108 | ||
Position +175 | 0.101 | 0.573 | 0.328 × 108 | 0.328 × 108 |
Homog. Tilt Angle | Input Flux | Output Flux | Input Radiation CV | Output Radiation CV | Input Power (No. of Counts) | Output Power (No. of Counts) |
---|---|---|---|---|---|---|
0° | 0.444 | 0.074 | 0.702 × 108 | 0.702 × 108 | ||
2° | 0.443 | 0.107 | 0.702 × 108 | 0.702 × 108 | ||
4° | 0.443 | 0.030 | 0.702 × 108 | 0.702 × 108 | ||
6° | 0.443 | 0.044 | 0.702 × 108 | 0.702 × 108 | ||
8° | 0.443 | 0.125 | 0.702 × 108 | 0.700 × 108 |
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Pereira, J.C.G.; Rahmani, K.; Rosa, L.G. Computer Modelling of the Optical Behavior of Homogenizers in High-Flux Solar Furnaces. Energies 2021, 14, 1828. https://doi.org/10.3390/en14071828
Pereira JCG, Rahmani K, Rosa LG. Computer Modelling of the Optical Behavior of Homogenizers in High-Flux Solar Furnaces. Energies. 2021; 14(7):1828. https://doi.org/10.3390/en14071828
Chicago/Turabian StylePereira, José Carlos Garcia, Kaveh Rahmani, and Luís Guerra Rosa. 2021. "Computer Modelling of the Optical Behavior of Homogenizers in High-Flux Solar Furnaces" Energies 14, no. 7: 1828. https://doi.org/10.3390/en14071828