IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v14y2021i9p2611-d548109.html
   My bibliography  Save this article

A Flow Rate Dependent 1D Model for Thermally Stratified Hot-Water Energy Storage

Author

Listed:
  • Joseph Rendall

    (Multifunctional Equipment Research Group, Oak Ridge National Laboratory, Oak Ridge, TN 37830, USA
    Department of Mechanical and Industrial Engineering, Texas A&M University Kingsville, Kingsville, TX 78363, USA)

  • Fernando Karg Bulnes

    (Southwest Research Institute, San Antonio, TX 78238, USA)

  • Kyle Gluesenkamp

    (Multifunctional Equipment Research Group, Oak Ridge National Laboratory, Oak Ridge, TN 37830, USA)

  • Ahmad Abu-Heiba

    (Multifunctional Equipment Research Group, Oak Ridge National Laboratory, Oak Ridge, TN 37830, USA)

  • William Worek

    (Department of Mechanical and Industrial Engineering, Texas A&M University Kingsville, Kingsville, TX 78363, USA
    Argonne National Laboratory, Lemont, IL 60439, USA)

  • Kashif Nawaz

    (Multifunctional Equipment Research Group, Oak Ridge National Laboratory, Oak Ridge, TN 37830, USA)

Abstract

Stratified tank models are used to simulate thermal storage in applications such as residential or commercial hot-water storage tanks, chilled-water storage tanks, and solar thermal systems. The energy efficiency of these applications relates to the system components and the level of stratification maintained during various flow events in the tank. One-dimensional (1D) models are used in building energy simulations because of the short computation time but often do not include flow-rate dependent mixing. The accuracy of 1D models for plug flow, plug flow with axial conduction, and two convection eddy-diffusivity models were compared with experimental data sets for discharging a 50-gal residential tank and recharging the tank with hot water from an external hot-water source. A minimum and maximum relationship for the eddy diffusivity factor were found at Re <2100 and >10,000 for recirculation of hot water to the top of the tank and vertical tubes inletting cold water at the bottom. The root mean square error decreased from >4 °C to near 2 °C when considering flow-based mixing models during heating, while the exponential decay of the eddy diffusion results in a root mean square error reduction of 1 °C for cone-shaped diffusers that begin to relaminarize flow at the inlet.

Suggested Citation

  • Joseph Rendall & Fernando Karg Bulnes & Kyle Gluesenkamp & Ahmad Abu-Heiba & William Worek & Kashif Nawaz, 2021. "A Flow Rate Dependent 1D Model for Thermally Stratified Hot-Water Energy Storage," Energies, MDPI, vol. 14(9), pages 1-17, May.
  • Handle: RePEc:gam:jeners:v:14:y:2021:i:9:p:2611-:d:548109
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/14/9/2611/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1996-1073/14/9/2611/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Raccanello, J. & Rech, S. & Lazzaretto, A., 2019. "Simplified dynamic modeling of single-tank thermal energy storage systems," Energy, Elsevier, vol. 182(C), pages 1154-1172.
    2. Ye, Yang & Lu, Jianfeng & Ding, Jing & Wang, Weilong & Yan, Jinyue, 2020. "Numerical simulation on the storage performance of a phase change materials based metal hydride hydrogen storage tank," Applied Energy, Elsevier, vol. 278(C).
    3. Wang, Zilong & Zhang, Hua & Huang, Huajie & Dou, Binlin & Huang, Xiuhui & Goula, Maria A., 2019. "The experimental investigation of the thermal stratification in a solar hot water tank," Renewable Energy, Elsevier, vol. 134(C), pages 862-874.
    4. 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.
    5. Lago, Jesus & De Ridder, Fjo & Mazairac, Wiet & De Schutter, Bart, 2019. "A 1-dimensional continuous and smooth model for thermally stratified storage tanks including mixing and buoyancy," Applied Energy, Elsevier, vol. 248(C), pages 640-655.
    6. Oppel, F. J. & Ghajar, A. J. & Moretti, P. M., 1986. "Computer simulation of stratified heat storage," Applied Energy, Elsevier, vol. 23(3), pages 205-224.
    7. Lake, Andrew & Rezaie, Behanz, 2018. "Energy and exergy efficiencies assessment for a stratified cold thermal energy storage," Applied Energy, Elsevier, vol. 220(C), pages 605-615.
    8. Han, Y.M. & Wang, R.Z. & Dai, Y.J., 2009. "Thermal stratification within the water tank," Renewable and Sustainable Energy Reviews, Elsevier, vol. 13(5), pages 1014-1026, June.
    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. Moonis R. Ally & Brian Fricke, 2021. "Heat Transfer, Refrigeration and Heat Pumps," Energies, MDPI, vol. 14(23), pages 1-3, November.
    2. Rendall, Joseph & Abu-Heiba, Ahmad & Gluesenkamp, Kyle & Nawaz, Kashif & Worek, William & Elatar, Ahmed, 2021. "Nondimensional convection numbers modeling thermally stratified storage tanks: Richardson's number and hot-water tanks," Renewable and Sustainable Energy Reviews, Elsevier, vol. 150(C).

    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. Untrau, Alix & Sochard, Sabine & Marias, Frédéric & Reneaume, Jean-Michel & Le Roux, Galo A.C. & Serra, Sylvain, 2023. "A fast and accurate 1-dimensional model for dynamic simulation and optimization of a stratified thermal energy storage," Applied Energy, Elsevier, vol. 333(C).
    2. Ding, Tao & Meng, Zhaoming & Chen, Kailun & Fan, Guangming & Yan, Changqi, 2020. "Experimental study on thermal stratification in water tank and heat transfer characteristics of condenser in water-cooled passive residual heat removal system of molten salt reactor," Energy, Elsevier, vol. 205(C).
    3. Saloux, E. & Candanedo, J.A., 2019. "Modelling stratified thermal energy storage tanks using an advanced flowrate distribution of the received flow," Applied Energy, Elsevier, vol. 241(C), pages 34-45.
    4. Rendall, Joseph & Elatar, Ahmed & Nawaz, Kashif & Sun, Jian, 2023. "Medium-temperature phase change material integration in domestic heat pump water heaters for improved thermal energy storage," Renewable and Sustainable Energy Reviews, Elsevier, vol. 185(C).
    5. Rendall, Joseph & Abu-Heiba, Ahmad & Gluesenkamp, Kyle & Nawaz, Kashif & Worek, William & Elatar, Ahmed, 2021. "Nondimensional convection numbers modeling thermally stratified storage tanks: Richardson's number and hot-water tanks," Renewable and Sustainable Energy Reviews, Elsevier, vol. 150(C).
    6. María Gasque & Federico Ibáñez & Pablo González-Altozano, 2021. "Minimum Number of Experimental Data for the Thermal Characterization of a Hot Water Storage Tank," Energies, MDPI, vol. 14(16), pages 1-16, August.
    7. Agnieszka Malec & Tomasz Cholewa & Alicja Siuta-Olcha, 2021. "Influence of Cold Water Inlets and Obstacles on the Energy Efficiency of the Hot Water Production Process in a Hot Water Storage Tank," Energies, MDPI, vol. 14(20), pages 1-26, October.
    8. Osorio, J.D. & Rivera-Alvarez, A. & Swain, M. & Ordonez, J.C., 2015. "Exergy analysis of discharging multi-tank thermal energy storage systems with constant heat extraction," Applied Energy, Elsevier, vol. 154(C), pages 333-343.
    9. Baeten, Brecht & Confrey, Thomas & Pecceu, Sébastien & Rogiers, Frederik & Helsen, Lieve, 2016. "A validated model for mixing and buoyancy in stratified hot water storage tanks for use in building energy simulations," Applied Energy, Elsevier, vol. 172(C), pages 217-229.
    10. Porteiro, Jacobo & Míguez, José Luis & Crespo, Bárbara & López González, Luis María & De Lara, José, 2015. "Experimental investigation of the thermal response of a thermal storage tank partially filled with different PCMs (phase change materials) to a steep demand," Energy, Elsevier, vol. 91(C), pages 202-214.
    11. Shukla, Ruchi & Sumathy, K. & Erickson, Phillip & Gong, Jiawei, 2013. "Recent advances in the solar water heating systems: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 19(C), pages 173-190.
    12. Kicsiny, Richárd, 2018. "Black-box model for solar storage tanks based on multiple linear regression," Renewable Energy, Elsevier, vol. 125(C), pages 857-865.
    13. Arteconi, A. & Hewitt, N.J. & Polonara, F., 2012. "State of the art of thermal storage for demand-side management," Applied Energy, Elsevier, vol. 93(C), pages 371-389.
    14. Shi, Tao & Xu, Huijin, 2022. "Integration of hydrogen storage and heat storage in thermochemical reactors enhanced with optimized topological structures: Charging process," Applied Energy, Elsevier, vol. 327(C).
    15. Navarro, Lidia & de Gracia, Alvaro & Colclough, Shane & Browne, Maria & McCormack, Sarah J. & Griffiths, Philip & Cabeza, Luisa F., 2016. "Thermal energy storage in building integrated thermal systems: A review. Part 1. active storage systems," Renewable Energy, Elsevier, vol. 88(C), pages 526-547.
    16. Shirazi, Ali & Taylor, Robert A. & White, Stephen D. & Morrison, Graham L., 2016. "Transient simulation and parametric study of solar-assisted heating and cooling absorption systems: An energetic, economic and environmental (3E) assessment," Renewable Energy, Elsevier, vol. 86(C), pages 955-971.
    17. Marika Pilou & George Kosmadakis & George Meramveliotakis, 2023. "Modeling of an Integrated Renewable-Energy-Based System for Heating, Cooling, and Electricity for Buildings," Energies, MDPI, vol. 16(12), pages 1-29, June.
    18. Hesaraki, Arefeh & Holmberg, Sture & Haghighat, Fariborz, 2015. "Seasonal thermal energy storage with heat pumps and low temperatures in building projects—A comparative review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 43(C), pages 1199-1213.
    19. Lihua Cao & Jingwen Yu & Xifeng Liu & Zhanzhou Wang, 2024. "Evaluation Method and Analysis on Performance of Diffuser in Heat Storage Tank," Energies, MDPI, vol. 17(3), pages 1-15, January.
    20. Sabarathinam Srinivasan & Suresh Kumarasamy & Zacharias E. Andreadakis & Pedro G. Lind, 2023. "Artificial Intelligence and Mathematical Models of Power Grids Driven by Renewable Energy Sources: A Survey," Energies, MDPI, vol. 16(14), pages 1-56, July.

    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:14:y:2021:i:9:p:2611-:d:548109. 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.