Natural convection of large Prandtl number fluids: A controversy answered by a new thermal lattice Boltzmann model
The purpose of this work is to deepen our understanding of natural convection with large Prandtl number fluids and to resolve some controversies in the previous publications. To achieve this purpose, a new thermal multiple-relaxation-time lattice Boltzmann model is proposed. Natural convection in a...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-04-01
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| Series: | Case Studies in Thermal Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X23001338 |
| _version_ | 1827986547373244416 |
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| author | Sheng Chen Kai H. Luo Amit Kumar Jain Dharminder Singh Don McGlinchey |
| author_facet | Sheng Chen Kai H. Luo Amit Kumar Jain Dharminder Singh Don McGlinchey |
| author_sort | Sheng Chen |
| collection | DOAJ |
| description | The purpose of this work is to deepen our understanding of natural convection with large Prandtl number fluids and to resolve some controversies in the previous publications. To achieve this purpose, a new thermal multiple-relaxation-time lattice Boltzmann model is proposed. Natural convection in a square cavity, a benchmark test case, is investigated numerically using the new model. The Prandtl number is up to 100. For the first time, it is numerically observed that there are two critical Prandtl numbers in the natural convection, which will affect the correlation between the Nusselt number and Prandtl number critically. Three heat transfer characteristic ranges of natural convection are defined in this work, according to the two critical Prandtl numbers. In each range, the dominant heat transfer mechanism is different, which can solve a long-standing issue in the discipline of heat and mass transfer: completely opposing statements on the correlation between the Nusselt number and Prandtl number for natural convection, were published in the open literature. For the first time, this work reveals cause behind the controversial reports and provides the guidance for the future research. |
| first_indexed | 2024-04-09T23:33:06Z |
| format | Article |
| id | doaj.art-8bfd49eb3d5c48f9b9e592f9ea0a2829 |
| institution | Directory Open Access Journal |
| issn | 2214-157X |
| language | English |
| last_indexed | 2024-04-09T23:33:06Z |
| publishDate | 2023-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj.art-8bfd49eb3d5c48f9b9e592f9ea0a28292023-03-21T04:16:26ZengElsevierCase Studies in Thermal Engineering2214-157X2023-04-0144102827Natural convection of large Prandtl number fluids: A controversy answered by a new thermal lattice Boltzmann modelSheng Chen0Kai H. Luo1Amit Kumar Jain2Dharminder Singh3Don McGlinchey4School of Computing, Engineering and Built Environment, Glasgow Caledonian University, Glasgow G4 0BA, UK; Corresponding author.Department of Mechanical Engineering, University College London, London WC1E 7JE, UKSchool of Computing, Engineering and Built Environment, Glasgow Caledonian University, Glasgow G4 0BA, UKSchool of Computing, Engineering and Built Environment, Glasgow Caledonian University, Glasgow G4 0BA, UKSchool of Computing, Engineering and Built Environment, Glasgow Caledonian University, Glasgow G4 0BA, UKThe purpose of this work is to deepen our understanding of natural convection with large Prandtl number fluids and to resolve some controversies in the previous publications. To achieve this purpose, a new thermal multiple-relaxation-time lattice Boltzmann model is proposed. Natural convection in a square cavity, a benchmark test case, is investigated numerically using the new model. The Prandtl number is up to 100. For the first time, it is numerically observed that there are two critical Prandtl numbers in the natural convection, which will affect the correlation between the Nusselt number and Prandtl number critically. Three heat transfer characteristic ranges of natural convection are defined in this work, according to the two critical Prandtl numbers. In each range, the dominant heat transfer mechanism is different, which can solve a long-standing issue in the discipline of heat and mass transfer: completely opposing statements on the correlation between the Nusselt number and Prandtl number for natural convection, were published in the open literature. For the first time, this work reveals cause behind the controversial reports and provides the guidance for the future research.http://www.sciencedirect.com/science/article/pii/S2214157X23001338Natural convectionLattice BoltzmannPrandtl numberNusselt numberMultiple-relaxation-time (MRT) model |
| spellingShingle | Sheng Chen Kai H. Luo Amit Kumar Jain Dharminder Singh Don McGlinchey Natural convection of large Prandtl number fluids: A controversy answered by a new thermal lattice Boltzmann model Case Studies in Thermal Engineering Natural convection Lattice Boltzmann Prandtl number Nusselt number Multiple-relaxation-time (MRT) model |
| title | Natural convection of large Prandtl number fluids: A controversy answered by a new thermal lattice Boltzmann model |
| title_full | Natural convection of large Prandtl number fluids: A controversy answered by a new thermal lattice Boltzmann model |
| title_fullStr | Natural convection of large Prandtl number fluids: A controversy answered by a new thermal lattice Boltzmann model |
| title_full_unstemmed | Natural convection of large Prandtl number fluids: A controversy answered by a new thermal lattice Boltzmann model |
| title_short | Natural convection of large Prandtl number fluids: A controversy answered by a new thermal lattice Boltzmann model |
| title_sort | natural convection of large prandtl number fluids a controversy answered by a new thermal lattice boltzmann model |
| topic | Natural convection Lattice Boltzmann Prandtl number Nusselt number Multiple-relaxation-time (MRT) model |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X23001338 |
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