Heat Transfer Correlations for Star-Shaped Fins
Star-shaped fins are a newer type of fin for which correlations for heat transfer and pressure drop do not yet exist in the literature. Therefore, correlation equations for air-side heat transfer and pressure drop in a finned heat exchanger with star-shaped stainless-steel fins in staggered arrangem...
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MDPI AG
2021-06-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/11/13/5912 |
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| author | Mladen Bošnjaković Ante Čikić Simon Muhič Mario Holik |
| author_facet | Mladen Bošnjaković Ante Čikić Simon Muhič Mario Holik |
| author_sort | Mladen Bošnjaković |
| collection | DOAJ |
| description | Star-shaped fins are a newer type of fin for which correlations for heat transfer and pressure drop do not yet exist in the literature. Therefore, correlation equations for air-side heat transfer and pressure drop in a finned heat exchanger with star-shaped stainless-steel fins in staggered arrangement were developed in this work. To obtain these correlations, a numerical analysis of the basic heat exchanger geometry and another 21 variants of heat exchanger geometry was performed using computational fluid dynamics, and then the results of laboratory tests of a model of heat exchangers with star-shaped fins were used. In the numerical analysis, the fin pitch, the fin thickness, and the air velocity at the inlet to the heat exchanger were varied. The Nusselt (<i>Nu</i>) and Euler (<i>Eu</i>) numbers were determined for each variation analyzed. Initial correlations for <i>Nu</i> and <i>Eu</i> were derived using the least-squares deviation method. The correlation coefficients thus obtained were adjusted to agree with the results of the laboratory tests. The deviation of the final obtained correlation for <i>Nu</i> from the experimental test results was up to 10% in the range of <i>Re</i> < 3500, whereas for higher values of <i>Re</i>, the deviation was less than 2%. The <i>Eu</i> correlation deviated from experimental results up to 19% in the range of <i>Re</i> < 4000, whereas in the range of <i>Re</i> > 5600, the deviation was less than 1%. The correlations were valid in the range 2000 < <i>Re</i> < 16,000. |
| first_indexed | 2024-03-10T10:03:16Z |
| format | Article |
| id | doaj.art-14a16292d6274d199c37d3baa58f6a59 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T10:03:16Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-14a16292d6274d199c37d3baa58f6a592023-11-22T01:43:20ZengMDPI AGApplied Sciences2076-34172021-06-011113591210.3390/app11135912Heat Transfer Correlations for Star-Shaped FinsMladen Bošnjaković0Ante Čikić1Simon Muhič2Mario Holik3Technical Department, University of Slavonski Brod, Trg Ivane Brlić Mažuranić 2, 35000 Slavonski Brod, CroatiaDepartment of Mechanical Engineering, University North, 104. Brigade 3, 42000 Varaždin, CroatiaFaculty of Mechanical Engineering, University of Novo Mesto, Na Loko 2, 8000 Novo Mesto, SloveniaMechanical Engineering Faculty, University of Slavonski Brod, Trg Ivane Brlić Mažuranić 2, 35000 Slavonski Brod, CroatiaStar-shaped fins are a newer type of fin for which correlations for heat transfer and pressure drop do not yet exist in the literature. Therefore, correlation equations for air-side heat transfer and pressure drop in a finned heat exchanger with star-shaped stainless-steel fins in staggered arrangement were developed in this work. To obtain these correlations, a numerical analysis of the basic heat exchanger geometry and another 21 variants of heat exchanger geometry was performed using computational fluid dynamics, and then the results of laboratory tests of a model of heat exchangers with star-shaped fins were used. In the numerical analysis, the fin pitch, the fin thickness, and the air velocity at the inlet to the heat exchanger were varied. The Nusselt (<i>Nu</i>) and Euler (<i>Eu</i>) numbers were determined for each variation analyzed. Initial correlations for <i>Nu</i> and <i>Eu</i> were derived using the least-squares deviation method. The correlation coefficients thus obtained were adjusted to agree with the results of the laboratory tests. The deviation of the final obtained correlation for <i>Nu</i> from the experimental test results was up to 10% in the range of <i>Re</i> < 3500, whereas for higher values of <i>Re</i>, the deviation was less than 2%. The <i>Eu</i> correlation deviated from experimental results up to 19% in the range of <i>Re</i> < 4000, whereas in the range of <i>Re</i> > 5600, the deviation was less than 1%. The correlations were valid in the range 2000 < <i>Re</i> < 16,000.https://www.mdpi.com/2076-3417/11/13/5912correlationheat transferpressure dropstar-shaped fins |
| spellingShingle | Mladen Bošnjaković Ante Čikić Simon Muhič Mario Holik Heat Transfer Correlations for Star-Shaped Fins Applied Sciences correlation heat transfer pressure drop star-shaped fins |
| title | Heat Transfer Correlations for Star-Shaped Fins |
| title_full | Heat Transfer Correlations for Star-Shaped Fins |
| title_fullStr | Heat Transfer Correlations for Star-Shaped Fins |
| title_full_unstemmed | Heat Transfer Correlations for Star-Shaped Fins |
| title_short | Heat Transfer Correlations for Star-Shaped Fins |
| title_sort | heat transfer correlations for star shaped fins |
| topic | correlation heat transfer pressure drop star-shaped fins |
| url | https://www.mdpi.com/2076-3417/11/13/5912 |
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