A Logarithmic Turbulent Heat Transfer Model in Applications with Liquid Metals for <i>Pr</i> = 0.01–0.025
The study of turbulent heat transfer in liquid metal flows has gained interest because of applications in several industrial fields. The common assumption of similarity between the dynamical and thermal turbulence, namely, the Reynolds analogy, has been proven to be invalid for these fluids. Many me...
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MDPI AG
2020-06-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/10/12/4337 |
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| author | Roberto Da Vià Valentina Giovacchini Sandro Manservisi |
| author_facet | Roberto Da Vià Valentina Giovacchini Sandro Manservisi |
| author_sort | Roberto Da Vià |
| collection | DOAJ |
| description | The study of turbulent heat transfer in liquid metal flows has gained interest because of applications in several industrial fields. The common assumption of similarity between the dynamical and thermal turbulence, namely, the Reynolds analogy, has been proven to be invalid for these fluids. Many methods have been proposed in order to overcome the difficulties encountered in a proper definition of the turbulent heat flux, such as global or local correlations for the turbulent Prandtl number and four parameter turbulence models. In this work we assess a four parameter logarithmic turbulence model for liquid metals based on the Reynolds Averaged Navier-Stokes (RAN) approach. Several simulation results considering fluids with <inline-formula> <math display="inline"> <semantics> <mrow> <mi>P</mi> <mi>r</mi> <mo>=</mo> <mn>0.01</mn> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mi>P</mi> <mi>r</mi> <mo>=</mo> <mn>0.025</mn> </mrow> </semantics> </math> </inline-formula> are reported in order to show the validity of this approach. The Kays turbulence model is also assessed and compared with integral heat transfer correlations for a wide range of Peclet numbers. |
| first_indexed | 2024-03-10T18:54:00Z |
| format | Article |
| id | doaj.art-23753758514b43f6ade22599abcebb78 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T18:54:00Z |
| publishDate | 2020-06-01 |
| publisher | MDPI AG |
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| series | Applied Sciences |
| spelling | doaj.art-23753758514b43f6ade22599abcebb782023-11-20T04:51:31ZengMDPI AGApplied Sciences2076-34172020-06-011012433710.3390/app10124337A Logarithmic Turbulent Heat Transfer Model in Applications with Liquid Metals for <i>Pr</i> = 0.01–0.025Roberto Da Vià0Valentina Giovacchini1Sandro Manservisi2SuperComputing Applications and Innovation Department—CINECA, 40033 Bologna, ItalyDIN, Montecuccolino Laboratory, University of Bologna, 40136 Bologna, ItalyDIN, Montecuccolino Laboratory, University of Bologna, 40136 Bologna, ItalyThe study of turbulent heat transfer in liquid metal flows has gained interest because of applications in several industrial fields. The common assumption of similarity between the dynamical and thermal turbulence, namely, the Reynolds analogy, has been proven to be invalid for these fluids. Many methods have been proposed in order to overcome the difficulties encountered in a proper definition of the turbulent heat flux, such as global or local correlations for the turbulent Prandtl number and four parameter turbulence models. In this work we assess a four parameter logarithmic turbulence model for liquid metals based on the Reynolds Averaged Navier-Stokes (RAN) approach. Several simulation results considering fluids with <inline-formula> <math display="inline"> <semantics> <mrow> <mi>P</mi> <mi>r</mi> <mo>=</mo> <mn>0.01</mn> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mi>P</mi> <mi>r</mi> <mo>=</mo> <mn>0.025</mn> </mrow> </semantics> </math> </inline-formula> are reported in order to show the validity of this approach. The Kays turbulence model is also assessed and compared with integral heat transfer correlations for a wide range of Peclet numbers.https://www.mdpi.com/2076-3417/10/12/4337turbulent heat transferlow-Prandtl fluidsRANS modelinglogarithmic turbulence model |
| spellingShingle | Roberto Da Vià Valentina Giovacchini Sandro Manservisi A Logarithmic Turbulent Heat Transfer Model in Applications with Liquid Metals for <i>Pr</i> = 0.01–0.025 Applied Sciences turbulent heat transfer low-Prandtl fluids RANS modeling logarithmic turbulence model |
| title | A Logarithmic Turbulent Heat Transfer Model in Applications with Liquid Metals for <i>Pr</i> = 0.01–0.025 |
| title_full | A Logarithmic Turbulent Heat Transfer Model in Applications with Liquid Metals for <i>Pr</i> = 0.01–0.025 |
| title_fullStr | A Logarithmic Turbulent Heat Transfer Model in Applications with Liquid Metals for <i>Pr</i> = 0.01–0.025 |
| title_full_unstemmed | A Logarithmic Turbulent Heat Transfer Model in Applications with Liquid Metals for <i>Pr</i> = 0.01–0.025 |
| title_short | A Logarithmic Turbulent Heat Transfer Model in Applications with Liquid Metals for <i>Pr</i> = 0.01–0.025 |
| title_sort | logarithmic turbulent heat transfer model in applications with liquid metals for i pr i 0 01 0 025 |
| topic | turbulent heat transfer low-Prandtl fluids RANS modeling logarithmic turbulence model |
| url | https://www.mdpi.com/2076-3417/10/12/4337 |
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