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Mathematical modeling of sloped solar chimney power plants

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  • Koonsrisuk, Atit

Abstract

Sloped solar chimney system is a solar chimney power plant with a sloped collector. Practically, the sloped collector can function as a chimney, then the chimney height can be reduced and the construction cost would be reduced also. A mathematical model based on the continuity, momentum, energy, and state equations is developed for the sloped solar chimney system in this study. The flow details inside a collector are included in the model. The mathematical model was solved numerically using an iterative technique. Then, the numerical simulation was performed using the commercial CFD package. The consistency of the predictions of the mathematical model and that of the CFD package justifies the validity of the proposed mathematical model. A detailed study of the plant characteristics is done. Results show that using a near-unity ratio of the collector inlet flow area and the collector exit flow area might cause some problems. In addition, the assumption that the density differences in the collector and that in the chimney are approximately equal is investigated. The study shows that this assumption provides a large overprediction of the results. The effects of the chimney height and the collector area on the plant performance are also illustrated.

Suggested Citation

  • Koonsrisuk, Atit, 2012. "Mathematical modeling of sloped solar chimney power plants," Energy, Elsevier, vol. 47(1), pages 582-589.
  • Handle: RePEc:eee:energy:v:47:y:2012:i:1:p:582-589
    DOI: 10.1016/j.energy.2012.09.039
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    References listed on IDEAS

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    1. Zhou, Xinping & Bernardes, Marco A. dos S. & Ochieng, Reccab M., 2012. "Influence of atmospheric cross flow on solar updraft tower inflow," Energy, Elsevier, vol. 42(1), pages 393-400.
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    2. Gitan, Ali Ahmed & Abdulmalek, Shaymaa Husham & Dihrab, Salwan S., 2015. "Tracking collector consideration of tilted collector solar updraft tower power plant under Malaysia climate conditions," Energy, Elsevier, vol. 93(P2), pages 1467-1477.
    3. Setareh, Milad, 2021. "Comprehensive mathematical study on solar chimney powerplant," Renewable Energy, Elsevier, vol. 175(C), pages 470-485.
    4. Habibollahzade, Ali, 2019. "Employing photovoltaic/thermal panels as a solar chimney roof: 3E analyses and multi-objective optimization," Energy, Elsevier, vol. 166(C), pages 118-130.
    5. Maia, Cristiana Brasil & Castro Silva, Janaína de Oliveira, 2022. "Thermodynamic assessment of a small-scale solar chimney," Renewable Energy, Elsevier, vol. 186(C), pages 35-50.
    6. Xiong, Hanbing & Ming, Tingzhen & Wu, Yongjia & Wang, Caixia & Chen, Qiong & Li, Wei & Mu, Liwen & de Richter, Renaud & Yuan, Yanping, 2022. "Numerical analysis of solar chimney power plant integrated with CH4 photocatalytic reactors for fighting global warming under ambient crosswind," Renewable Energy, Elsevier, vol. 201(P1), pages 678-690.
    7. Vargas-López, R. & Xamán, J. & Hernández-Pérez, I. & Arce, J. & Zavala-Guillén, I. & Jiménez, M.J. & Heras, M.R., 2019. "Mathematical models of solar chimneys with a phase change material for ventilation of buildings: A review using global energy balance," Energy, Elsevier, vol. 170(C), pages 683-708.
    8. Hu, Siyang & Leung, Dennis Y.C. & Chen, Michael Z.Q. & Chan, John C.Y., 2016. "Effect of guide wall on the potential of a solar chimney power plant," Renewable Energy, Elsevier, vol. 96(PA), pages 209-219.
    9. Kasaeian, A.B. & Molana, Sh. & Rahmani, K. & Wen, D., 2017. "A review on solar chimney systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 67(C), pages 954-987.
    10. Gholamalizadeh, Ehsan & Kim, Man-Hoe, 2014. "Thermo-economic triple-objective optimization of a solar chimney power plant using genetic algorithms," Energy, Elsevier, vol. 70(C), pages 204-211.
    11. Ming, Tingzhen & Wu, Yongjia & de_Richter, Renaud K. & Liu, Wei & Sherif, S.A., 2017. "Solar updraft power plant system: A brief review and a case study on a new system with radial partition walls in its collector," Renewable and Sustainable Energy Reviews, Elsevier, vol. 69(C), pages 472-487.
    12. Koonsrisuk, Atit & Chitsomboon, Tawit, 2013. "Effects of flow area changes on the potential of solar chimney power plants," Energy, Elsevier, vol. 51(C), pages 400-406.
    13. Koonsrisuk, Atit & Chitsomboon, Tawit, 2013. "Mathematical modeling of solar chimney power plants," Energy, Elsevier, vol. 51(C), pages 314-322.

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