LAPSE:2023.32069v1
Published Article

LAPSE:2023.32069v1
A Flow Rate Dependent 1D Model for Thermally Stratified Hot-Water Energy Storage
April 19, 2023
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 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.
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 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.
Record ID
Keywords
1D flow model, hot-water tanks, stratification, thermal-energy storage
Subject
Suggested Citation
Rendall J, Karg Bulnes F, Gluesenkamp K, Abu-Heiba A, Worek W, Nawaz K. A Flow Rate Dependent 1D Model for Thermally Stratified Hot-Water Energy Storage. (2023). LAPSE:2023.32069v1
Author Affiliations
Rendall J: 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
Karg Bulnes F: Southwest Research Institute, San Antonio, TX 78238, USA
Gluesenkamp K: Multifunctional Equipment Research Group, Oak Ridge National Laboratory, Oak Ridge, TN 37830, USA
Abu-Heiba A: Multifunctional Equipment Research Group, Oak Ridge National Laboratory, Oak Ridge, TN 37830, USA [ORCID]
Worek W: Department of Mechanical and Industrial Engineering, Texas A&M University Kingsville, Kingsville, TX 78363, USA; Argonne National Laboratory, Lemont, IL 60439, USA
Nawaz K: Multifunctional Equipment Research Group, Oak Ridge National Laboratory, Oak Ridge, TN 37830, USA
Karg Bulnes F: Southwest Research Institute, San Antonio, TX 78238, USA
Gluesenkamp K: Multifunctional Equipment Research Group, Oak Ridge National Laboratory, Oak Ridge, TN 37830, USA
Abu-Heiba A: Multifunctional Equipment Research Group, Oak Ridge National Laboratory, Oak Ridge, TN 37830, USA [ORCID]
Worek W: Department of Mechanical and Industrial Engineering, Texas A&M University Kingsville, Kingsville, TX 78363, USA; Argonne National Laboratory, Lemont, IL 60439, USA
Nawaz K: Multifunctional Equipment Research Group, Oak Ridge National Laboratory, Oak Ridge, TN 37830, USA
Journal Name
Energies
Volume
14
Issue
9
First Page
2611
Year
2021
Publication Date
2021-05-02
ISSN
1996-1073
Version Comments
Original Submission
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PII: en14092611, Publication Type: Journal Article
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LAPSE:2023.32069v1
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https://doi.org/10.3390/en14092611
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Apr 19, 2023
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