Cébron, D, Viroulet, S, Vidal, J orcid.org/0000-0002-3654-6633 et al. (2 more authors) (2017) Experimental and theoretical study of magnetohydrodynamic ship models. PLOS ONE, 12 (6). e0178599. ISSN 1932-6203
Abstract
Magnetohydrodynamic (MHD) ships represent a clear demonstration of the Lorentz force in fluids, which explains the number of students practicals or exercises described on the web. However, the related literature is rather specific and no complete comparison between theory and typical small scale experiments is currently available. This work provides, in a self-consistent framework, a detailed presentation of the relevant theoretical equations for small MHD ships and experimental measurements for future benchmarks. Theoretical results of the literature are adapted to these simple battery/magnets powered ships moving on salt water. Comparison between theory and experiments are performed to validate each theoretical step such as the Tafel and the Kohlrausch laws, or the predicted ship speed. A successful agreement is obtained without any adjustable parameter. Finally, based on these results, an optimal design is then deduced from the theory. Therefore this work provides a solid theoretical and experimental ground for small scale MHD ships, by presenting in detail several approximations and how they affect the boat efficiency. Moreover, the theory is general enough to be adapted to other contexts, such as large scale ships or industrial flow measurement techniques.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2017 Cébron et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. (https://creativecommons.org/licenses/by/4.0/) |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 10 Dec 2018 11:41 |
Last Modified: | 25 Jun 2023 21:38 |
Status: | Published |
Publisher: | Public Library of Science |
Identification Number: | 10.1371/journal.pone.0178599 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:139731 |
Commentary/Response Threads
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Cébron, D, Viroulet, S, Vidal, J, Masson, J-P and Viroulet, P
Experimental and theoretical study of magnetohydrodynamic ship models. (deposited 10 Dec 2018 11:41)
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- Cébron, D, Viroulet, S, Vidal, J, Masson, J-P and Viroulet, P Correction: Experimental and theoretical study of magnetohydrodynamic ship models. (deposited 10 Dec 2018 13:22)
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