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Mathematical Modeling and Simulation of a Compound Parabolic Concentrators Collector with an Absorber Tube

Author

Listed:
  • Habib Shoeibi

    (Department of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz 68875-61349, Iran)

  • Azad Jarrahian

    (Department of Petroleum Engineering, Kish International Campus, University of Tehran, Kish 79416-39982, Iran)

  • Mehdi Mehrpooya

    (Department of Renewable Energies and Environment, Faculty of New Sciences and Technologies, University of Tehran, Tehran 14117-13114, Iran)

  • Ehsanolah Assaerh

    (Department of Mechanical Engineering, Dezful Branch, Islamic Azad University, Dezful 61424-20890, Iran)

  • Mohsen Izadi

    (Mechanical Engineering Department, Faculty of Engineering, Lorestan University, Khorramabad 68151-44316, Iran)

  • Fathollah Pourfayaz

    (Department of Renewable Energies and Environment, Faculty of New Sciences and Technologies, University of Tehran, Tehran 14117-13114, Iran)

Abstract

CPC solar collectors are a combination of new technologies that make it possible to generate heat from radiant solar energy by transferring heat between the absorber and the fluid. This study was performed based on heat transfer equations by proposing a mathematical model, as reported in the literature. A compound parabolic concentrators solar collector (CPC) numerical model was simulated and coded in Aspen HYSYS and MATLAB software and validated by comparing its results with other researchers and experimental results. The simulated mathematical model includes a two-dimensional numerical model to describe the thermal and dynamic behavior of the fluid inside the CPC solar collector absorber tube. Numerical simulations of the fluid flow equations inside the CPC solar collector absorber tube, along with the energy equation for the absorber tube wall, coating, insulation and reflector, and solar collector heat analysis, were performed repeatedly in MATLAB and Aspen HYSYS software. This method is the most appropriate and reliable method for solving equations for numerical convergence. The experimental results of the parabolic concentrated solar collector (CPC) were used to evaluate and validate the numerical model. A solar compound parabolic concentrators collector (CPC) with short reflectors was used. This collector includes a cylindrical absorber with a real density ratio of 1.8, a reception angle of 22 degrees and a length of 2.81 m, a width of 0.32 m, and an opening of 0.1764 m. Analysis and uncertainty of the proposed model were performed with the measured sample. In the thermal efficiency analysis, the average deviation of the model from the experimental results of other researchers was equal to 7%, for increasing the temperature by 9 °C. According to these results, a good correlation between numerical results and experimental results for this proposed model has been obtained.

Suggested Citation

  • Habib Shoeibi & Azad Jarrahian & Mehdi Mehrpooya & Ehsanolah Assaerh & Mohsen Izadi & Fathollah Pourfayaz, 2022. "Mathematical Modeling and Simulation of a Compound Parabolic Concentrators Collector with an Absorber Tube," Energies, MDPI, vol. 16(1), pages 1-20, December.
  • Handle: RePEc:gam:jeners:v:16:y:2022:i:1:p:287-:d:1016508
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    References listed on IDEAS

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    1. Ortega, N. & García-Valladares, O. & Best, R. & Gómez, V.H., 2008. "Two-phase flow modelling of a solar concentrator applied as ammonia vapor generator in an absorption refrigerator," Renewable Energy, Elsevier, vol. 33(9), pages 2064-2076.
    2. Timoumi, Youssef & Tlili, Iskander & Ben Nasrallah, Sassi, 2008. "Design and performance optimization of GPU-3 Stirling engines," Energy, Elsevier, vol. 33(7), pages 1100-1114.
    3. Sarafraz, M.M. & Tlili, I. & Tian, Zhe & Bakouri, Mohsen & Safaei, Mohammad Reza, 2019. "Smart optimization of a thermosyphon heat pipe for an evacuated tube solar collector using response surface methodology (RSM)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    4. Li, Yongcai & Jiao, Feng & Chen, Fei & Zhang, Zhenhua, 2021. "Design optimization and optical performance analysis on multi-sectioned compound parabolic concentrator with plane absorber," Renewable Energy, Elsevier, vol. 168(C), pages 913-926.
    5. Tlili, Iskander & Timoumi, Youssef & Nasrallah, Sassi Ben, 2008. "Analysis and design consideration of mean temperature differential Stirling engine for solar application," Renewable Energy, Elsevier, vol. 33(8), pages 1911-1921.
    6. Chen, Fei & Gui, Qinghua, 2022. "Construction and analysis of a compound parabolic concentrator to eliminate light escape in the interlayer of solar vacuum tube," Renewable Energy, Elsevier, vol. 191(C), pages 225-237.
    7. Norton, B. & Kothdiwala, A.F. & Eames, P.C., 1994. "Effect of inclination on the performance of CPC solar energy collectors," Renewable Energy, Elsevier, vol. 5(1), pages 357-367.
    8. Lu, Z.S. & Wang, R.Z. & Xia, Z.Z. & Lu, X.R. & Yang, C.B. & Ma, Y.C. & Ma, G.B., 2013. "Study of a novel solar adsorption cooling system and a solar absorption cooling system with new CPC collectors," Renewable Energy, Elsevier, vol. 50(C), pages 299-306.
    9. Mahbubul, I.M. & Khan, Mohammed Mumtaz A. & Ibrahim, Nasiru I. & Ali, Hafiz Muhammad & Al-Sulaiman, Fahad A. & Saidur, R., 2018. "Carbon nanotube nanofluid in enhancing the efficiency of evacuated tube solar collector," Renewable Energy, Elsevier, vol. 121(C), pages 36-44.
    10. Moradi, Mehrdad & Mehrpooya, Mehdi, 2017. "Optimal design and economic analysis of a hybrid solid oxide fuel cell and parabolic solar dish collector, combined cooling, heating and power (CCHP) system used for a large commercial tower," Energy, Elsevier, vol. 130(C), pages 530-543.
    11. Li, Qiyuan & Zheng, Cheng & Shirazi, Ali & Bany Mousa, Osama & Moscia, Fabio & Scott, Jason A. & Taylor, Robert A., 2017. "Design and analysis of a medium-temperature, concentrated solar thermal collector for air-conditioning applications," Applied Energy, Elsevier, vol. 190(C), pages 1159-1173.
    12. Bhalla, Vishal & Khullar, Vikrant & Parupudi, Ranga Vihari, 2022. "Design and thermal analysis of nanofluid-based compound parabolic concentrator," Renewable Energy, Elsevier, vol. 185(C), pages 348-362.
    13. Gu, Xiaoguang & Taylor, Robert A. & Morrison, Graham & Rosengarten, Gary, 2014. "Theoretical analysis of a novel, portable, CPC-based solar thermal collector for methanol reforming," Applied Energy, Elsevier, vol. 119(C), pages 467-475.
    14. Kessentini, Hamdi & Bouden, Chiheb, 2013. "Numerical and experimental study of an integrated solar collector with CPC reflectors," Renewable Energy, Elsevier, vol. 57(C), pages 577-586.
    15. Timoumi, Youssef & Tlili, Iskander & Ben Nasrallah, Sassi, 2008. "Performance optimization of Stirling engines," Renewable Energy, Elsevier, vol. 33(9), pages 2134-2144.
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