Novel Multi-Objective Optimal Design of a Shell-and-Tube Latent Heat Thermal Energy Storage Device
In the present paper a new multi-objective optimisation procedure for the design of a shell-and-tube Latent Heat Thermal Energy Storage (LHTES) is proposed. A simple arrangement of a cylindrical shell with multiple vertical tubes has been examined. The optimisation considers, as design variables, th...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/16/4/1882 |
| _version_ | 1811153838491566080 |
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| author | Francesco Fornarelli Lorenzo Dambrosio Sergio Mario Camporeale Luigi Terlizzi |
| author_facet | Francesco Fornarelli Lorenzo Dambrosio Sergio Mario Camporeale Luigi Terlizzi |
| author_sort | Francesco Fornarelli |
| collection | DOAJ |
| description | In the present paper a new multi-objective optimisation procedure for the design of a shell-and-tube Latent Heat Thermal Energy Storage (LHTES) is proposed. A simple arrangement of a cylindrical shell with multiple vertical tubes has been examined. The optimisation considers, as design variables, the number of tubes, the tube internal radius and the device height-to-diameter ratio, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>H</mi><mo>/</mo><mi>D</mi></mrow></semantics></math></inline-formula>, while the storage volume is kept constant. This analysis aims to detect the set of solutions which optimises the LHTES performances evaluated in terms of charging and discharging times and overall thermal energy capacity. To accomplish the multi-objectives optimal thermal storage design, a simplified mathematical model of the LHTES has been employed. This model can evaluate the prescribed performances for a given set of design variables. The proposed optimisation procedure evaluates new solutions along the most promising directions in the design variables domain, leading to a significant improvement in storage performances. The Design of the Experiment, together with the <i>Pareto</i> dominance relationship, gives a starting optimal solutions subset. The proposed optimisation procedure permits to enhance the starting optimal solutions subset letting approach the <i>Pareto</i> barrier. The paper shows that, at the end of the optimisation procedure, the designer can select the solutions on the <i>Pareto</i> barrier with the best performance and the corresponding design variables for each chosen solution. The proposed optimisation procedure will also allow for maintaining low computational costs due to the low number of the new design variables evaluated only in the promising directions. |
| first_indexed | 2024-03-11T08:52:26Z |
| format | Article |
| id | doaj.art-064fa7b1a8f049b29f40ec88cab276d6 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-11T08:52:26Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-064fa7b1a8f049b29f40ec88cab276d62023-11-16T20:19:05ZengMDPI AGEnergies1996-10732023-02-01164188210.3390/en16041882Novel Multi-Objective Optimal Design of a Shell-and-Tube Latent Heat Thermal Energy Storage DeviceFrancesco Fornarelli0Lorenzo Dambrosio1Sergio Mario Camporeale2Luigi Terlizzi3Department of Sciences of Agriculture, Food, Natural Resources and Engineering, University of Foggia, Via Napoli, 25, 71121 Foggia, ItalyDepartment of Mechanics, Mathematics and Management (DMMM), Politecnico di Bari, Via Orabona, 4, 70125 Bari, ItalyDepartment of Mechanics, Mathematics and Management (DMMM), Politecnico di Bari, Via Orabona, 4, 70125 Bari, ItalyDepartment of Mechanics, Mathematics and Management (DMMM), Politecnico di Bari, Via Orabona, 4, 70125 Bari, ItalyIn the present paper a new multi-objective optimisation procedure for the design of a shell-and-tube Latent Heat Thermal Energy Storage (LHTES) is proposed. A simple arrangement of a cylindrical shell with multiple vertical tubes has been examined. The optimisation considers, as design variables, the number of tubes, the tube internal radius and the device height-to-diameter ratio, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>H</mi><mo>/</mo><mi>D</mi></mrow></semantics></math></inline-formula>, while the storage volume is kept constant. This analysis aims to detect the set of solutions which optimises the LHTES performances evaluated in terms of charging and discharging times and overall thermal energy capacity. To accomplish the multi-objectives optimal thermal storage design, a simplified mathematical model of the LHTES has been employed. This model can evaluate the prescribed performances for a given set of design variables. The proposed optimisation procedure evaluates new solutions along the most promising directions in the design variables domain, leading to a significant improvement in storage performances. The Design of the Experiment, together with the <i>Pareto</i> dominance relationship, gives a starting optimal solutions subset. The proposed optimisation procedure permits to enhance the starting optimal solutions subset letting approach the <i>Pareto</i> barrier. The paper shows that, at the end of the optimisation procedure, the designer can select the solutions on the <i>Pareto</i> barrier with the best performance and the corresponding design variables for each chosen solution. The proposed optimisation procedure will also allow for maintaining low computational costs due to the low number of the new design variables evaluated only in the promising directions.https://www.mdpi.com/1996-1073/16/4/1882thermal storageLHTESmulti-objective optimisationPCM |
| spellingShingle | Francesco Fornarelli Lorenzo Dambrosio Sergio Mario Camporeale Luigi Terlizzi Novel Multi-Objective Optimal Design of a Shell-and-Tube Latent Heat Thermal Energy Storage Device Energies thermal storage LHTES multi-objective optimisation PCM |
| title | Novel Multi-Objective Optimal Design of a Shell-and-Tube Latent Heat Thermal Energy Storage Device |
| title_full | Novel Multi-Objective Optimal Design of a Shell-and-Tube Latent Heat Thermal Energy Storage Device |
| title_fullStr | Novel Multi-Objective Optimal Design of a Shell-and-Tube Latent Heat Thermal Energy Storage Device |
| title_full_unstemmed | Novel Multi-Objective Optimal Design of a Shell-and-Tube Latent Heat Thermal Energy Storage Device |
| title_short | Novel Multi-Objective Optimal Design of a Shell-and-Tube Latent Heat Thermal Energy Storage Device |
| title_sort | novel multi objective optimal design of a shell and tube latent heat thermal energy storage device |
| topic | thermal storage LHTES multi-objective optimisation PCM |
| url | https://www.mdpi.com/1996-1073/16/4/1882 |
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