IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v15y2022i15p5562-d876903.html
   My bibliography  Save this article

Developing a Grey Forecasting Model for the Air Flowing across the Parallel Plate Duct

Author

Listed:
  • Alok Dhaundiyal

    (Centre for Energy Research, Konkoly Thege M. út 29-33, 1121 Budapest, Hungary)

Abstract

The focus of this work is on developing a nonlinear grey model for the laminar flow regime of carrier fluid across the flat plate collector. The trust region reflective algorithm was used to solve the nonlinear laminar flow problem and handle the sparse matrix. The stream function, dimensionless velocity, gradients of velocity components, carrier fluid temperature, and the absorber plate temperature were estimated for a flat plate collector operated with and without a circular chimney. Similarly, the same technique was adopted to determine a model for heat transfer across the absorber plate. The numerically obtained solution was also compared with the parameters obtained through the instrumental measurement. The relative tolerance was kept at 10 −5 for the white and grey box solutions. The developed model was noticed to have a smaller deviation than the conventional analytical model to predict the experimental values. The slip condition was observed for the proposed scheme. The uncertainty in the temperature measurement through the proposed model varies from ±0.53 to ±1.47 K. The minimum absolute percentage error (MAPE) lies in the domain of 0.52–1.67% for the nonlinear grey model, whereas the linear grey model for measuring absorber plate temperature has a percentage error of 0.0011–0.02%.

Suggested Citation

  • Alok Dhaundiyal, 2022. "Developing a Grey Forecasting Model for the Air Flowing across the Parallel Plate Duct," Energies, MDPI, vol. 15(15), pages 1-19, July.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:15:p:5562-:d:876903
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/15/15/5562/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/15/15/5562/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Sopian, K. & Alghoul, M.A. & Alfegi, Ebrahim M. & Sulaiman, M.Y. & Musa, E.A., 2009. "Evaluation of thermal efficiency of double-pass solar collector with porous–nonporous media," Renewable Energy, Elsevier, vol. 34(3), pages 640-645.
    2. Jia, Hao & Cheng, Xiaomei & Zhu, Jingjing & Li, Zhaoling & Guo, Jiansheng, 2018. "Mathematical and experimental analysis on solar thermal energy harvesting performance of the textile-based solar thermal energy collector," Renewable Energy, Elsevier, vol. 129(PA), pages 553-560.
    3. Sopian, K & Supranto, & Daud, W.R.W & Othman, M.Y & Yatim, B, 1999. "Thermal performance of the double-pass solar collector with and without porous media," Renewable Energy, Elsevier, vol. 18(4), pages 557-564.
    4. Alok Dhaundiyal & Gedion Habtay Gebremicheal, 2022. "The Stack Effect on the Thermal-Fluid Behaviour of a Solar Collector," Energies, MDPI, vol. 15(3), pages 1-18, February.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Dhiman, Prashant & Thakur, N.S. & Chauhan, S.R., 2012. "Thermal and thermohydraulic performance of counter and parallel flow packed bed solar air heaters," Renewable Energy, Elsevier, vol. 46(C), pages 259-268.
    2. Alam, Tabish & Kim, Man-Hoe, 2017. "Performance improvement of double-pass solar air heater – A state of art of review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 79(C), pages 779-793.
    3. Kareem, M.W. & Habib, Khairul & Pasha, Amjad A. & Irshad, Kashif & Afolabi, L.O. & Saha, Bidyut Baran, 2022. "Experimental study of multi-pass solar air thermal collector system assisted with sensible energy-storing matrix," Energy, Elsevier, vol. 245(C).
    4. Tan, Weng Cheong & Saw, Lip Huat & Thiam, Hui San & Xuan, Jin & Cai, Zuansi & Yew, Ming Chian, 2018. "Overview of porous media/metal foam application in fuel cells and solar power systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 96(C), pages 181-197.
    5. Singh, Satyender & Dhiman, Prashant, 2016. "Thermal performance of double pass packed bed solar air heaters – A comprehensive review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 53(C), pages 1010-1031.
    6. Varun Pratap Singh & Siddharth Jain & Ashish Karn & Ashwani Kumar & Gaurav Dwivedi & Chandan Swaroop Meena & Nitesh Dutt & Aritra Ghosh, 2022. "Recent Developments and Advancements in Solar Air Heaters: A Detailed Review," Sustainability, MDPI, vol. 14(19), pages 1-55, September.
    7. Ravi, Ravi Kant & Saini, Rajeshwer Prasad, 2016. "A review on different techniques used for performance enhancement of double pass solar air heaters," Renewable and Sustainable Energy Reviews, Elsevier, vol. 56(C), pages 941-952.
    8. Razak, A.A. & Majid, Z.A.A. & Azmi, W.H. & Ruslan, M.H. & Choobchian, Sh. & Najafi, G. & Sopian, K., 2016. "Review on matrix thermal absorber designs for solar air collector," Renewable and Sustainable Energy Reviews, Elsevier, vol. 64(C), pages 682-693.
    9. Yu Wang & Mikael Boulic & Robyn Phipps & Manfred Plagmann & Chris Cunningham, 2020. "Experimental Performance of a Solar Air Collector with a Perforated Back Plate in New Zealand," Energies, MDPI, vol. 13(6), pages 1-16, March.
    10. Omojaro, A.P. & Aldabbagh, L.B.Y., 2010. "Experimental performance of single and double pass solar air heater with fins and steel wire mesh as absorber," Applied Energy, Elsevier, vol. 87(12), pages 3759-3765, December.
    11. Aldabbagh, L.B.Y. & Egelioglu, F. & Ilkan, M., 2010. "Single and double pass solar air heaters with wire mesh as packing bed," Energy, Elsevier, vol. 35(9), pages 3783-3787.
    12. Kumar, Anil & Kim, Man-Hoe, 2017. "Solar air-heating system with packed-bed energy-storage systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 72(C), pages 215-227.
    13. Nowzari, Raheleh & Aldabbagh, L.B.Y. & Egelioglu, F., 2014. "Single and double pass solar air heaters with partially perforated cover and packed mesh," Energy, Elsevier, vol. 73(C), pages 694-702.
    14. Bakri, Badis & Eleuch, Oumaima & Ketata, Ahmed & Driss, Slah & Driss, Zied & Benguesmia, Hani, 2018. "Study of the turbulent flow in a newly solar air heater test bench with natural and forced convection modes," Energy, Elsevier, vol. 161(C), pages 1028-1041.
    15. Fudholi, Ahmad & Sopian, Kamaruzzaman, 2019. "A review of solar air flat plate collector for drying application," Renewable and Sustainable Energy Reviews, Elsevier, vol. 102(C), pages 333-345.
    16. Rui Li & Guomin Cui, 2022. "Comprehensive Performance Evaluation of a Dual-Function Active Solar Thermal Façade System Based on Energy, Economic and Environmental Analysis in China," Energies, MDPI, vol. 15(11), pages 1-19, June.
    17. Roozbeh Vaziri & Akeem Adeyemi Oladipo & Mohsen Sharifpur & Rani Taher & Mohammad Hossein Ahmadi & Alibek Issakhov, 2021. "Efficiency Enhancement in Double-Pass Perforated Glazed Solar Air Heaters with Porous Beds: Taguchi-Artificial Neural Network Optimization and Cost–Benefit Analysis," Sustainability, MDPI, vol. 13(21), pages 1-18, October.
    18. Hao, Daning & Qi, Lingfei & Tairab, Alaeldin M. & Ahmed, Ammar & Azam, Ali & Luo, Dabing & Pan, Yajia & Zhang, Zutao & Yan, Jinyue, 2022. "Solar energy harvesting technologies for PV self-powered applications: A comprehensive review," Renewable Energy, Elsevier, vol. 188(C), pages 678-697.
    19. Rounis, Efstratios Dimitrios & Athienitis, Andreas & Stathopoulos, Theodore, 2021. "Review of air-based PV/T and BIPV/T systems - Performance and modelling," Renewable Energy, Elsevier, vol. 163(C), pages 1729-1753.
    20. Alok Dhaundiyal, 2023. "Thermo-Statistical Investigation of the Solar Air Collector Using Least Angle Regression," Energies, MDPI, vol. 16(5), pages 1-21, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:15:y:2022:i:15:p:5562-:d:876903. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.