Fluid Dynamic Assessment and Development of Nusselt Correlations for Fischer Koch S Structures
Lattice structures such as triply periodic minimal surface (TPMS) structures have gained significance due to advancements in additive manufacturing, particularly 3D printing, which enable their engineering to be tailored to specific applications, such as heat exchangers. While traditional heat excha...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-01-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/17/3/688 |
| _version_ | 1827354755577413632 |
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| author | Philipp Knödler Volker Dreissigacker |
| author_facet | Philipp Knödler Volker Dreissigacker |
| author_sort | Philipp Knödler |
| collection | DOAJ |
| description | Lattice structures such as triply periodic minimal surface (TPMS) structures have gained significance due to advancements in additive manufacturing, particularly 3D printing, which enable their engineering to be tailored to specific applications, such as heat exchangers. While traditional heat exchanger designs have been extensively studied, investigations into the thermal performance of TPMS structures are limited. Considering the extensive range of the geometric design variations in TPMS structures, highly efficient structures on par with the performance of conventional heat exchanger designs can be expected. This study aims to comprehensively evaluate the thermal and flow characteristics of a specific TPMS structure (Fischer Koch S), and, in particular, the impact of various volume fractions on its heat transfer performance and on its friction factor. Another key objective of this study is to develop Nusselt and friction factor correlations as a function of the investigated volume fractions for potential use in future design tools. To this end, a broad CFD study was carried out. Additionally, this study provides insights into the procedures involved in generating Fischer Koch S geometries and the modeling methodology employed in CFD investigations. Based on the results of the CFD study, the thermal and fluid dynamic performances of Fischer Koch unit cells were evaluated, resulting in heat transfer coefficients up to 160 W/m<sup>2</sup>K for the investigated structures. A comparison between the heat transfer coefficient of the examined TPMS structure and a conventional plate heat exchanger suggested a potential increase in the heat transfer coefficient of approximately 35%. The generated CFD data were subsequently utilized to formulate fitting correlations for the Nusselt number and friction factors as a function of the volume fraction. The fitted parameters of these correlations are provided in this work. |
| first_indexed | 2024-03-08T03:57:17Z |
| format | Article |
| id | doaj.art-07e7c04fc242448bbe9212c4d54faef1 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-08T03:57:17Z |
| publishDate | 2024-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-07e7c04fc242448bbe9212c4d54faef12024-02-09T15:11:37ZengMDPI AGEnergies1996-10732024-01-0117368810.3390/en17030688Fluid Dynamic Assessment and Development of Nusselt Correlations for Fischer Koch S StructuresPhilipp Knödler0Volker Dreissigacker1Institute of Engineering Thermodynamics, German Aerospace Center, 70569 Stuttgart, GermanyInstitute of Engineering Thermodynamics, German Aerospace Center, 70569 Stuttgart, GermanyLattice structures such as triply periodic minimal surface (TPMS) structures have gained significance due to advancements in additive manufacturing, particularly 3D printing, which enable their engineering to be tailored to specific applications, such as heat exchangers. While traditional heat exchanger designs have been extensively studied, investigations into the thermal performance of TPMS structures are limited. Considering the extensive range of the geometric design variations in TPMS structures, highly efficient structures on par with the performance of conventional heat exchanger designs can be expected. This study aims to comprehensively evaluate the thermal and flow characteristics of a specific TPMS structure (Fischer Koch S), and, in particular, the impact of various volume fractions on its heat transfer performance and on its friction factor. Another key objective of this study is to develop Nusselt and friction factor correlations as a function of the investigated volume fractions for potential use in future design tools. To this end, a broad CFD study was carried out. Additionally, this study provides insights into the procedures involved in generating Fischer Koch S geometries and the modeling methodology employed in CFD investigations. Based on the results of the CFD study, the thermal and fluid dynamic performances of Fischer Koch unit cells were evaluated, resulting in heat transfer coefficients up to 160 W/m<sup>2</sup>K for the investigated structures. A comparison between the heat transfer coefficient of the examined TPMS structure and a conventional plate heat exchanger suggested a potential increase in the heat transfer coefficient of approximately 35%. The generated CFD data were subsequently utilized to formulate fitting correlations for the Nusselt number and friction factors as a function of the volume fraction. The fitted parameters of these correlations are provided in this work.https://www.mdpi.com/1996-1073/17/3/688TPMSFischer Koch SNusselt numberfriction factor |
| spellingShingle | Philipp Knödler Volker Dreissigacker Fluid Dynamic Assessment and Development of Nusselt Correlations for Fischer Koch S Structures Energies TPMS Fischer Koch S Nusselt number friction factor |
| title | Fluid Dynamic Assessment and Development of Nusselt Correlations for Fischer Koch S Structures |
| title_full | Fluid Dynamic Assessment and Development of Nusselt Correlations for Fischer Koch S Structures |
| title_fullStr | Fluid Dynamic Assessment and Development of Nusselt Correlations for Fischer Koch S Structures |
| title_full_unstemmed | Fluid Dynamic Assessment and Development of Nusselt Correlations for Fischer Koch S Structures |
| title_short | Fluid Dynamic Assessment and Development of Nusselt Correlations for Fischer Koch S Structures |
| title_sort | fluid dynamic assessment and development of nusselt correlations for fischer koch s structures |
| topic | TPMS Fischer Koch S Nusselt number friction factor |
| url | https://www.mdpi.com/1996-1073/17/3/688 |
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