IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v15y2022i16p6085-d894560.html
   My bibliography  Save this article

Cooling Modelling of an Electrically Heated Ceramic Heat Accumulator

Author

Listed:
  • Dawid Taler

    (Department of Thermal Processes, Air Protection, and Waste Utilization, Faculty of Environmental Engineering and Energy, Cracow University of Technology, ul. Warszawska 24, 31-155 Cracow, Poland)

  • Jan Taler

    (Department of Energy, Faculty of Environmental Engineering and Energy, Cracow University of Technology, Al. Jana Pawła II 37, 31-864 Cracow, Poland)

  • Tomasz Sobota

    (Department of Thermal Processes, Air Protection, and Waste Utilization, Faculty of Environmental Engineering and Energy, Cracow University of Technology, ul. Warszawska 24, 31-155 Cracow, Poland)

  • Jarosław Tokarczyk

    (Department of Thermal Processes, Air Protection, and Waste Utilization, Faculty of Environmental Engineering and Energy, Cracow University of Technology, ul. Warszawska 24, 31-155 Cracow, Poland)

Abstract

This paper presents a simple novel mathematical model of a heat accumulator with an arranged packing in the form of ceramic cylinders. The accumulator analysed in the paper can be heated with inexpensive electricity overnight or excess electricity from wind farms. It can be used as a heat source in a hydronic heating system or for domestic hot water. The differential equations describing the transient temperature of the accumulator packing and flowing air were solved using the explicit Euler and Crank–Nicolson methods. The accuracy of both methods was assessed using exact analytical solutions and the superposition method for a uniform initial temperature and accounted for time changes in inlet air temperature. A numerical simulation of the accumulator cooled by flowing air was carried out. The correlation for the air-side Nusselt number was determined using the method of least squares based on experimental data. The calculated exit air temperature was compared with the measured data. The accumulator can operate as a heat source with dynamic discharge. The developed mathematical model of the accumulator can be used in a system to adjust the fan rotational speed so that the air temperature in the room is equal to the preset temperature.

Suggested Citation

  • Dawid Taler & Jan Taler & Tomasz Sobota & Jarosław Tokarczyk, 2022. "Cooling Modelling of an Electrically Heated Ceramic Heat Accumulator," Energies, MDPI, vol. 15(16), pages 1-26, August.
  • Handle: RePEc:gam:jeners:v:15:y:2022:i:16:p:6085-:d:894560
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/15/16/6085/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1996-1073/15/16/6085/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hussam, Wisam K. & Rahbari, Hamid Reza & Arabkoohsar, Ahmad, 2020. "Off-design operation analysis of air-based high-temperature heat and power storage," Energy, Elsevier, vol. 196(C).
    2. Fan, Yi & Zhao, Xudong & Li, Jing & Cheng, Yuanda & Badiei, Ali & Zhou, Jinzhi & Yu, Min & Li, Guiqiang & Du, Zhenyu & Ji, Jie & Zhu, Zishang & Ma, Xiaoli & Bai, Huifeng & Myers, Steve, 2020. "Operational performance of a novel fast-responsive heat storage/exchanging unit (HSEU) for solar heating systems," Renewable Energy, Elsevier, vol. 151(C), pages 137-151.
    3. Araújo, António & Pereira, Vítor, 2017. "Solar thermal modeling for rapid estimation of auxiliary energy requirements in domestic hot water production: Proportional flow rate control," Energy, Elsevier, vol. 138(C), pages 668-681.
    4. Trojan, Marcin & Taler, Dawid & Dzierwa, Piotr & Taler, Jan & Kaczmarski, Karol & Wrona, Jan, 2019. "The use of pressure hot water storage tanks to improve the energy flexibility of the steam power unit," Energy, Elsevier, vol. 173(C), pages 926-936.
    5. Sacharczuk, Jacek & Taler, Dawid, 2019. "Numerical and experimental study on the thermal performance of the concrete accumulator for solar heating systems," Energy, Elsevier, vol. 170(C), pages 967-977.
    6. Dzierwa, Piotr & Taler, Jan & Peret, Patryk & Taler, Dawid & Trojan, Marcin, 2022. "Transient CFD simulation of charging hot water tank," Energy, Elsevier, vol. 239(PC).
    7. Dawid Taler & Tomasz Sobota & Magdalena Jaremkiewicz & Jan Taler, 2020. "Influence of the Thermometer Inertia on the Quality of Temperature Control in a Hot Liquid Tank Heated with Electric Energy," Energies, MDPI, vol. 13(15), pages 1-18, August.
    8. Yildiz, Baran & Bilbao, Jose I. & Roberts, Mike & Heslop, Simon & Dore, Jonathon & Bruce, Anna & MacGill, Iain & Egan, Renate J. & Sproul, Alistair B., 2021. "Analysis of electricity consumption and thermal storage of domestic electric water heating systems to utilize excess PV generation," Energy, Elsevier, vol. 235(C).
    9. Lakshmanan, Venkatachalam & Sæle, Hanne & Degefa, Merkebu Zenebe, 2021. "Electric water heater flexibility potential and activation impact in system operator perspective – Norwegian scenario case study," Energy, Elsevier, vol. 236(C).
    10. Stack, Daniel C. & Curtis, Daniel & Forsberg, Charles, 2019. "Performance of firebrick resistance-heated energy storage for industrial heat applications and round-trip electricity storage," Applied Energy, Elsevier, vol. 242(C), pages 782-796.
    11. Behzadi, Amirmohammad & Arabkoohsar, Ahmad, 2020. "Feasibility study of a smart building energy system comprising solar PV/T panels and a heat storage unit," Energy, Elsevier, vol. 210(C).
    12. Mao, Qianjun & Li, Ying & Li, Guiqiang & Badiei, Ali, 2021. "Study on the influence of tank structure and fin configuration on heat transfer performance of phase change thermal storage system," Energy, Elsevier, vol. 235(C).
    13. Araújo, António & Pereira, Vítor, 2017. "Solar thermal modeling for rapid estimation of auxiliary energy requirements in domestic hot water production: On-off flow rate control," Energy, Elsevier, vol. 119(C), pages 637-651.
    14. Pirasaci, Tolga, 2020. "Investigation of phase state and heat storage form of the phase change material (PCM) layer integrated into the exterior walls of the residential-apartment during heating season," Energy, Elsevier, vol. 207(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Artur S. Bartosik, 2023. "Numerical Heat Transfer and Fluid Flow: New Advances," Energies, MDPI, vol. 16(14), pages 1-7, July.

    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. Taler, Dawid & Sobota, Tomasz & Jaremkiewicz, Magdalena & Taler, Jan, 2022. "Control of the temperature in the hot liquid tank by using a digital PID controller considering the random errors of the thermometer indications," Energy, Elsevier, vol. 239(PE).
    2. Kicsiny, Richárd, 2018. "Black-box model for solar storage tanks based on multiple linear regression," Renewable Energy, Elsevier, vol. 125(C), pages 857-865.
    3. Li Peng & Hongjun Wu & Qianjun Mao, 2022. "Visualizing Experimental Study of the Effect of Inclination Angle on the Melting Performance for an Energy Storage Tank," Energies, MDPI, vol. 15(19), pages 1-11, October.
    4. Tilahun, Fitsum Bekele & Bhandari, Ramchandra & Mamo, Mengesha, 2019. "Design optimization and control approach for a solar-augmented industrial heating," Energy, Elsevier, vol. 179(C), pages 186-198.
    5. Clift, Dean Holland & Stanley, Cameron & Hasan, Kazi N. & Rosengarten, Gary, 2023. "Assessment of advanced demand response value streams for water heaters in renewable-rich electricity markets," Energy, Elsevier, vol. 267(C).
    6. Araújo, António & Silva, Rui, 2020. "Energy modeling of solar water heating systems with on-off control and thermally stratified storage using a fast computation algorithm," Renewable Energy, Elsevier, vol. 150(C), pages 891-906.
    7. Dzierwa, Piotr & Taler, Jan & Peret, Patryk & Taler, Dawid & Trojan, Marcin, 2022. "Transient CFD simulation of charging hot water tank," Energy, Elsevier, vol. 239(PC).
    8. Weeratunge, Hansani & Aditya, Gregorius Riyan & Dunstall, Simon & de Hoog, Julian & Narsilio, Guillermo & Halgamuge, Saman, 2021. "Feasibility and performance analysis of hybrid ground source heat pump systems in fourteen cities," Energy, Elsevier, vol. 234(C).
    9. Taler, Dawid & Dzierwa, Piotr & Kaczmarski, Karol & Taler, Jan, 2021. "Optimisation of heating and cooling of pressure thick-walled components operating in the saturated steam area," Energy, Elsevier, vol. 231(C).
    10. Van Thillo, L. & Verbeke, S. & Audenaert, A., 2022. "The potential of building automation and control systems to lower the energy demand in residential buildings: A review of their performance and influencing parameters," Renewable and Sustainable Energy Reviews, Elsevier, vol. 158(C).
    11. Behzadi, Amirmohammad & Holmberg, Sture & Duwig, Christophe & Haghighat, Fariborz & Ooka, Ryozo & Sadrizadeh, Sasan, 2022. "Smart design and control of thermal energy storage in low-temperature heating and high-temperature cooling systems: A comprehensive review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 166(C).
    12. Hongyu Zhang & Fei Gan & Guangqin Huang & Chunlong Zhuang & Xiaodong Shen & Shengbo Li & Lei Cheng & Shanshan Hou & Ningge Xu & Zhenqun Sang, 2022. "Study on Heat Storage Performance of Phase Change Reservoir in Underground Protection Engineering," Energies, MDPI, vol. 15(15), pages 1-31, August.
    13. Jiří Jaromír Klemeš & Petar Sabev Varbanov & Paweł Ocłoń & Hon Huin Chin, 2019. "Towards Efficient and Clean Process Integration: Utilisation of Renewable Resources and Energy-Saving Technologies," Energies, MDPI, vol. 12(21), pages 1-32, October.
    14. Kong, Xiangfei & Jiang, Lina & Yuan, Ye & Qiao, Xu, 2022. "Experimental study on the performance of an active novel vertical partition thermal storage wallboard based on composite phase change material with porous silica and microencapsulation," Energy, Elsevier, vol. 239(PE).
    15. Ahmet Feyzioglu, 2023. "A Study on the Control System of Electric Water Heaters for Decarbonization," Energies, MDPI, vol. 16(5), pages 1-12, March.
    16. Ljungdahl, V. & Taha, K. & Dallaire, J. & Kieseritzky, E. & Pawelz, F. & Jradi, M. & Veje, C., 2021. "Phase change material based ventilation module - Numerical study and experimental validation of serial design," Energy, Elsevier, vol. 234(C).
    17. Alicia Crespo & Gabriel Zsembinszki & David Vérez & Emiliano Borri & Cèsar Fernández & Luisa F. Cabeza & Alvaro de Gracia, 2021. "Optimization of Design Variables of a Phase Change Material Storage Tank and Comparison of a 2D Implicit vs. 2D Explicit Model," Energies, MDPI, vol. 14(9), pages 1-15, May.
    18. Gong, Yu & Liu, Pan & Ming, Bo & Xu, Weifeng & Huang, Kangdi & Li, Xiao, 2021. "Deriving pack rules for hydro–photovoltaic hybrid power systems considering diminishing marginal benefit of energy," Applied Energy, Elsevier, vol. 304(C).
    19. Furszyfer Del Rio, Dylan D. & Sovacool, Benjamin K. & Foley, Aoife M. & Griffiths, Steve & Bazilian, Morgan & Kim, Jinsoo & Rooney, David, 2022. "Decarbonizing the ceramics industry: A systematic and critical review of policy options, developments and sociotechnical systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 157(C).
    20. Sohani, Ali & Cornaro, Cristina & Shahverdian, Mohammad Hassan & Moser, David & Pierro, Marco & Olabi, Abdul Ghani & Karimi, Nader & Nižetić, Sandro & Li, Larry K.B. & Doranehgard, Mohammad Hossein, 2023. "Techno-economic evaluation of a hybrid photovoltaic system with hot/cold water storage for poly-generation in a residential building," Applied Energy, Elsevier, vol. 331(C).

    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:16:p:6085-:d:894560. 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.