Thermoelectric magnetohydrodynamic flow in a liquid metal-infused trench
We derive a mathematical model for steady, unidirectional, thermoelectric magnetohydrodynamic (TEMHD) flow of liquid lithium along a solid metal trench, subject to an imposed heat flux. We use a finite-element method implemented in COMSOL Multiphysics to solve the problem numerically, demonstrating...
Saved in:
| Published in | Journal of fluid mechanics Vol. 1004 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Cambridge, UK
Cambridge University Press
28.01.2025
|
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | We derive a mathematical model for steady, unidirectional, thermoelectric magnetohydrodynamic (TEMHD) flow of liquid lithium along a solid metal trench, subject to an imposed heat flux. We use a finite-element method implemented in COMSOL Multiphysics to solve the problem numerically, demonstrating how the fluid velocity, induced magnetic field and temperature change depending on the key physical and geometrical parameters. The observed flow structures are elucidated by using the method of matched asymptotic expansions to obtain approximate solutions in the limit where the Hartmann number is large and the trench walls are thin. |
|---|---|
| AbstractList | We derive a mathematical model for steady, unidirectional, thermoelectric magnetohydrodynamic (TEMHD) flow of liquid lithium along a solid metal trench, subject to an imposed heat flux. We use a finite-element method implemented in COMSOL Multiphysics to solve the problem numerically, demonstrating how the fluid velocity, induced magnetic field and temperature change depending on the key physical and geometrical parameters. The observed flow structures are elucidated by using the method of matched asymptotic expansions to obtain approximate solutions in the limit where the Hartmann number is large and the trench walls are thin. |
| Author | Howell, P.D. Bond, O.G. |
| Author_xml | – sequence: 1 givenname: O.G. orcidid: 0000-0002-9986-7506 surname: Bond fullname: Bond, O.G. email: OGBond@pm.me organization: 1Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK – sequence: 2 givenname: P.D. orcidid: 0000-0002-6036-3386 surname: Howell fullname: Howell, P.D. organization: 1Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK |
| BookMark | eNot0M1qwzAQBGBRUqiT9ti7X8DOSpYj-1hC2xQCvaRns5JWsY0tUf9Q8va1aU8LwzID35ZtfPDE2DOHlANX-9b1qQAhU84zuGMRl4cyUQeZb1gEIETCuYAHth3HFmB5KVXETpeahj5QR2YaGhP3ePU0hfpmh2BvHvslc134iRsfY9w133Nj454m7JLGu3kkG08DeVM_snuH3UhP_3fHvt5eL8dTcv58_zi-nBOTAUwJliSLDA3kiLpQRhcIAsAVHAqryYHUJUEmSEhyuZSAUmlShbAakSvKdmz_12uw10Njr1S1YR78sllxqFaIaoGoVohqhch-AQBdVH0 |
| ContentType | Journal Article |
| Copyright | The Author(s), 2025. Published by Cambridge University Press. |
| Copyright_xml | – notice: The Author(s), 2025. Published by Cambridge University Press. |
| DBID | IKXGN |
| DOI | 10.1017/jfm.2024.1130 |
| DatabaseName | Cambridge University Press Wholly Gold Open Access Journals |
| DatabaseTitleList | |
| Database_xml | – sequence: 1 dbid: IKXGN name: Cambridge University Press Wholly Gold Open Access Journals url: http://journals.cambridge.org/action/login sourceTypes: Publisher |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences Engineering Physics |
| EISSN | 1469-7645 |
| ExternalDocumentID | 10_1017_jfm_2024_1130 |
| GroupedDBID | -DZ -E. -~X .DC .FH 09C 09E 0E1 0R~ 4.4 5GY 5VS 74X 74Y 7~V AAAZR AABES AABWE AACJH AAGFV AAKTX AAMNQ AARAB AASVR AAUIS AAUKB ABBXD ABGDZ ABITZ ABJNI ABKKG ABMWE ABQTM ABQWD ABROB ABTCQ ABVKB ABXAU ABZCX ACBEA ACBMC ACDLN ACGFO ACGFS ACGOD ACIMK ACIWK ACUIJ ACYZP ACZBM ACZUX ACZWT ADCGK ADDNB ADFEC ADFRT ADKIL ADVJH AEBAK AEMTW AENEX AENGE AEYYC AFFUJ AFKQG AFLOS AFLVW AFRAH AFUTZ AFZFC AGABE AGBYD AGJUD AHQXX AHRGI AIDUJ AIGNW AIHIV AIOIP AISIE AJ7 AJCYY AJPFC AJQAS ALMA_UNASSIGNED_HOLDINGS ALVPG ALWZO AQJOH ARABE ARAPS ATUCA AUXHV BBLKV BENPR BGHMG BHPHI BLZWO BMAJL C0O CBIIA CCQAD CFAFE CHEAL CJCSC CS3 DOHLZ DU5 E.L EBS F5P HCIFZ HG- HST HZ~ I.6 IH6 IKXGN IOEEP IS6 I~P J36 J38 J3A JHPGK JQKCU KCGVB KFECR L98 LW7 M-V M2O NIKVX O9- OYBOY P2P PYCCK RAMDC RCA RNS ROL RR0 S6- S6U SAAAG SC5 T9M TAE TN5 UT1 WFFJZ WH7 WQ3 WXU WYP ZYDXJ ~02 |
| ID | FETCH-LOGICAL-c300t-a9e483ac05aab87cb8a0200f8108dbef04b9e032e24ef5440a47be782dbaa17e3 |
| IEDL.DBID | IKXGN |
| ISSN | 0022-1120 |
| IngestDate | Tue Jan 28 02:21:58 EST 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | magnetic fluids high-Hartmann-number flows |
| Language | English |
| License | http://creativecommons.org/licenses/by/4.0This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited. |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c300t-a9e483ac05aab87cb8a0200f8108dbef04b9e032e24ef5440a47be782dbaa17e3 |
| ORCID | 0000-0002-9986-7506 0000-0002-6036-3386 |
| OpenAccessLink | https://www.cambridge.org/core/product/identifier/S0022112024011303/type/journal_article |
| PageCount | 31 |
| ParticipantIDs | cambridge_journals_10_1017_jfm_2024_1130 |
| PublicationCentury | 2000 |
| PublicationDate | 2025-01-28 |
| PublicationDateYYYYMMDD | 2025-01-28 |
| PublicationDate_xml | – month: 01 year: 2025 text: 2025-01-28 day: 28 |
| PublicationDecade | 2020 |
| PublicationPlace | Cambridge, UK |
| PublicationPlace_xml | – name: Cambridge, UK |
| PublicationTitle | Journal of fluid mechanics |
| PublicationTitleAlternate | J. Fluid Mech |
| PublicationYear | 2025 |
| Publisher | Cambridge University Press |
| Publisher_xml | – name: Cambridge University Press |
| References | 2021; 26 1948; 73 2014; T159 1971; 46 2021; 28 2015; 463 1971; 48 2015; 55 1971; 69 1964; 21 1967; 28 1979; 91 2019; 867 2014; 89 2016; 56 2023; 63 1976; 78 1953; 49 2013; 55 1997; 11 2013; 438 2022; 62 2011; 51 2017; 13 1984; 13 1972; 72 1988; 157 2020; 27 2021; 173 2020; 25 2007; 82 2020; 158 1953; 25 1979; 22 1996; 8 |
| References_xml | – volume: 173 start-page: 112930 year: 2021 article-title: Design window for open-surface lithium divertor with helium-cooled substrate publication-title: Fusion Engng Des. – volume: 28 start-page: 241 year: 1967 end-page: 260 article-title: Magnetohydrodynamic flow in channels of variable cross-section with strong transverse magnetic fields publication-title: J. Fluid Mech. – volume: 26 start-page: 100935 year: 2021 article-title: Modeling of liquid lithium flow in porous plasma facing material publication-title: Nucl. Mater. Energy – volume: 438 start-page: S422 year: 2013 end-page: S425 article-title: Heat transfer of TEMHD driven lithium flow in stainless steel trenches publication-title: J. Nucl. Mater. – volume: 867 start-page: 835 year: 2019 end-page: 876 article-title: Flow of a thin liquid-metal film in a toroidal magnetic field publication-title: J. Fluid Mech. – volume: 13 start-page: 42 year: 2017 end-page: 57 article-title: Analytical expressions for thermophysical properties of solid and liquid tungsten relevant for fusion applications publication-title: Nucl. Mater. Energy – volume: 72 start-page: 117 issue: 1 year: 1972 end-page: 122 article-title: Corner regions in the asymptotic solution of $\epsilon \nabla ^2 u = \partial u/\partial y$ with reference to MHD duct flow publication-title: Math. Proc. Camb. Phil. Soc. – volume: 69 start-page: 337 issue: 2 year: 1971 end-page: 351 article-title: The effects of wall conductivity in magnetohydrodynamic duct flow at high Hartmann numbers publication-title: Math. Proc. Camb. – volume: 158 start-page: 111661 year: 2020 article-title: On thermal axisymmetric liquid-metal divertors publication-title: Fusion Engng Des. – volume: 51 start-page: 102002 issue: 10 year: 2011 article-title: Lithium-metal infused trenches (LiMIT) for heat removal in fusion devices publication-title: Nucl. Fusion – volume: 22 start-page: 635 issue: 4 year: 1979 end-page: 640 article-title: Thermoelectric magnetohydrodynamics in closed containers publication-title: Phys. Fluids – volume: 25 start-page: 100855 year: 2020 article-title: Liquid metal “divertorlets” concept for fusion reactors publication-title: Nucl. Mater. Energy – volume: 157 start-page: 593 issue: 2 year: 1988 end-page: 599 article-title: NMR and magnetic susceptibility measurements on liquid lithium up to high temperatures publication-title: Z. Phys. Chem. Neue Fol. – volume: 62 start-page: 086008 issue: 8 year: 2022 article-title: Divertorlets concept for low-recycling fusion reactor divertor: experimental, analytical and numerical verification publication-title: Nucl. Fusion – volume: 63 start-page: 054002 issue: 5 year: 2023 article-title: Achievement of ion temperatures in excess of 100 million degrees Kelvin in the compact high-field spherical tokamak ST40 publication-title: Nucl. Fusion – volume: 463 start-page: 1181 year: 2015 end-page: 1185 article-title: Vertical flow in the thermoelectric liquid metal plasma facing structures (TELS) facility at Illinois publication-title: J. Nucl. Mater. – volume: 55 issue: 12 year: 2013 article-title: Liquid-metal plasma-facing component research on the National Spherical Torus Experiment publication-title: Plasma Phys. Control. Fusion – volume: 13 start-page: 1251 issue: 4 year: 1984 end-page: 1257 article-title: Heat capacity of reference materials: Cu and W publication-title: J. Phys. Chem. Ref. Data – volume: 21 start-page: 577 issue: 4 year: 1964 end-page: 590 article-title: Magnetohydrodynamic flow in rectangular ducts publication-title: J. Fluid Mech. – volume: 157 start-page: 587 issue: 2 year: 1988 end-page: 592 article-title: The temperature dependence of the magnetic susceptibility of liquid metals publication-title: Z. Phys. Chem. Neue Fol. – volume: 438 start-page: 224 issue: 1–3 year: 2013 end-page: 227 article-title: Seebeck coefficient measurements on Li, Sn, Ta, Mo, and W publication-title: J. Nucl. Mater. – volume: 28 start-page: 371 issue: 2 year: 1967 end-page: 384 article-title: Hartmann flow in an annular channel publication-title: J. Fluid Mech. – volume: 91 start-page: 231 issue: 2 year: 1979 end-page: 251 article-title: Thermoelectric magnetohydrodynamics publication-title: J. Fluid Mech. – volume: 46 start-page: 657 issue: 4 year: 1971 end-page: 684 article-title: Three-dimensional MHD duct flows with strong transverse magnetic fields. Part 2. Variable-area rectangular ducts with conducting sides publication-title: J. Fluid Mech. – volume: T159 year: 2014 article-title: First results of flowing liquid lithium limiter in HT-7 publication-title: Phys. Scr. – volume: 73 start-page: 1349 issue: 11 year: 1948 end-page: 1358 article-title: The application of Onsager's reciprocal relations to thermoelectric, thermomagnetic, and galvanomagnetic effects publication-title: Phys. Rev. – volume: 11 start-page: 547 issue: 5 year: 1997 end-page: 555 article-title: Experimental investigation of flow characteristics of a magnetohydrodynamic (MHD) duct of fan-shaped cross section publication-title: KSME Intl J. – volume: 78 start-page: 261 issue: 2 year: 1976 end-page: 288 article-title: Liquid-metal magnetohydrodynamics with strong magnetic fields: a report on Euromech 70 publication-title: J. Fluid Mech. – volume: 82 start-page: 2176 issue: 15–24 year: 2007 end-page: 2182 article-title: Numerical investigation of liquid metal flows in rectangular sudden expansions publication-title: Fusion Engng Des. – volume: 56 issue: 10 year: 2016 article-title: Free surface stability of liquid metal plasma facing components publication-title: Nucl. Fusion – volume: 89 start-page: 2868 issue: 12 year: 2014 end-page: 2874 article-title: Computational studies of thermoelectric MHD driven liquid lithium flow in metal trenches publication-title: Fusion Engng Des. – volume: 48 start-page: 429 year: 1971 end-page: 461 article-title: Magnetohydrodynamic duct flow in a uniform transverse magnetic field of arbitrary orientation publication-title: J. Fluid Mech. – volume: 8 start-page: 923 issue: 4 year: 1996 end-page: 935 article-title: Solutions of uniform, open-channel, liquid metal flow in a strong, oblique magnetic field publication-title: Phys. Fluids – volume: 25 start-page: 122 year: 1953 end-page: 126 article-title: The high temperature magnetic susceptibility of V, Nb, Ta, W and Mo publication-title: Rev. Mod. Phys. – volume: 49 start-page: 136 issue: 1 year: 1953 end-page: 144 article-title: Steady motion of conducting fluids in pipes under transverse magnetic fields publication-title: Math. Proc. Camb. – volume: 27 issue: 5 year: 2020 article-title: Results from a new flowing liquid Li limiter with TZM substrate during high confinement plasmas in the EAST device publication-title: Phys. Plasmas – volume: 28 issue: 5 year: 2021 article-title: Lithium, a path to make fusion energy affordable publication-title: Phys. Plasmas – volume: 55 issue: 11 year: 2015 article-title: Performance of the lithium metal infused trenches in the magnum PSI linear plasma simulator publication-title: Nucl. Fusion |
| SSID | ssj0013097 |
| Score | 2.4627693 |
| Snippet | We derive a mathematical model for steady, unidirectional, thermoelectric magnetohydrodynamic (TEMHD) flow of liquid lithium along a solid metal trench,... |
| SourceID | cambridge |
| SourceType | Publisher |
| SubjectTerms | JFM Papers |
| Title | Thermoelectric magnetohydrodynamic flow in a liquid metal-infused trench |
| URI | https://www.cambridge.org/core/product/identifier/S0022112024011303/type/journal_article |
| Volume | 1004 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV09T8MwED2VVkgw8FFAfMsDA0tU23FIOiJEKSA6gdQtujg2DaIptKkQ_55z40JH9ihW3p2Td_HdewAXyI0USuhAx0YHKolkgBFVrdg1xI8FYr7Q6X4aXPVf1MMwGjZguJyFcW2VvxoHi5P8hT_aRy1_2inyuofGTN2Mr6TqRTqRLuHexB3307LjQ5B64NegRZxBJE1o3T8O7wZ_Jwy8Gy-VxN1dvP6mk5N-s25EXSrnd8JXNRdWvjy9HdjylJFd10vtQsOUbdj29JH5zTlrw-aKtmAb1he9nXq2B31Khel4UhveFJqN8bU01WT0ndPj1ob0zL5PvlhRMmTvxee8yNnYECsPKP3mM1qkcjOBo3146d0-3_QDb6AQ6JDzygGukhA1jxCzJNZZgsQOuU0ET_LMWK6yruGhNFIZGynFUcWZIc6QZ4giNuEBNMtJaQ6BWYx1HkktiA5SRXeV5WislqGlkgQFt0dw-QtT6mMwS-sWsjglRFOHaOoQPf7_pSewIZ3fLiWPTE6hWU3n5oxIQJWd-3j-AOY9sZo |
| linkProvider | Cambridge University Press |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV09T8MwED2VIgQMfBQQ33hgYInqOA5JR4SAQqFTkbpFF8emQTSFNhXi33Nu3NKRPYqVd-fkXXz3HsAlci186StPRVp5Mg6FhyFVrdjSxI99xGym0_3SvW6_yqd-2K9Bfz4LY9sqFxoHs5P8mT_aZyV_2syzqodGj-2Mr6DqRViRLt--iZv2p2XThSBxwK_AakikmXbA6mOn_9D9O2HgrWiuJG7v4vQ3rZz0u7Ej6kJavxO-rLmw9OW534EtRxnZTbXULtR00YBtRx-Z25yTBmwuaQs2YG3W26kme9CmVBgPR5XhTa7YEN8KXY4GPxk9bmVIz8zH6JvlBUP2kX9N84wNNbFyj9JvOqFFSjsTONiH1_u73m3bcwYKngo4Ly3gMg5Q8RAxjSOVxkjskJvY53GWasNl2tI8EFpIbUIpOcoo1cQZshTRj3RwAPViVOhDYAYjlYVC-UQHqaK7TjPURonAUEmCPjdHcLWAKXExmCRVC1mUEKKJRTSxiB7__9ILWG_3Xp6T58du5wQ2hPXepUQS8SnUy_FUnxEhKNNzF9tfbZW0jw |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Thermoelectric+magnetohydrodynamic+flow+in+a+liquid+metal-infused+trench&rft.jtitle=Journal+of+fluid+mechanics&rft.au=Bond%2C+O.G.&rft.au=Howell%2C+P.D.&rft.date=2025-01-28&rft.pub=Cambridge+University+Press&rft.issn=0022-1120&rft.eissn=1469-7645&rft.volume=1004&rft_id=info:doi/10.1017%2Fjfm.2024.1130&rft.externalDocID=10_1017_jfm_2024_1130 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0022-1120&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0022-1120&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0022-1120&client=summon |