{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:35:06Z","timestamp":1753886106612,"version":"3.41.2"},"reference-count":26,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2011,5,23]],"date-time":"2011-05-23T00:00:00Z","timestamp":1306108800000},"content-version":"vor","delay-in-days":142,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100000038","name":"Natural Sciences and Engineering Research Council of Canada","doi-asserted-by":"publisher","award":["12875"],"award-info":[{"award-number":["12875"]}],"id":[{"id":"10.13039\/501100000038","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2011,1]]},"abstract":"<jats:p>Thermomagnetic convection in a differentially heated square cavity with an infinitely long third dimension is numerically simulated using the single relaxation time lattice Boltzmann method (LBM). This problem is of considerable interest when dealing with cooling of microelectronic devices, in situations where natural convection does not meet the cooling requirements, and forced convection is not viable due to the difficulties associated with pumping a ferrofluid. Therefore, circulation is achieved by imposing a magnetic field, which is created and controlled by placing a dipole at the bottom of the enclosure. The magnitude of the magnetic force is controlled by changing the electrical current through the dipole. In this study, the effects of combined natural convection and magnetic convection, which is commonly known as \u201cthermomagnetic convection,\u201d are analysed in terms of the flow modes and heat transfer characteristics of a magnetic fluid.<\/jats:p>","DOI":"10.1155\/2011\/538637","type":"journal-article","created":{"date-parts":[[2011,5,23]],"date-time":"2011-05-23T19:33:16Z","timestamp":1306179196000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Simulation of Thermomagnetic Convection in a Cavity Using the Lattice Boltzmann Model"],"prefix":"10.1155","volume":"2011","author":[{"given":"Mahshid","family":"Hadavand","sequence":"first","affiliation":[]},{"given":"Antonio C. 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NabovatiA. andSousaA. C. M. Numerical simulation of thermomagnetic convection in an enclosure using the Lattice Boltzmann Method Proceedings of the 8th International Conference on Nanochannels Micorchannels and Minichannels (FEDSM-ICNMM \u203210) 2010 Montreal Canada."},{"key":"e_1_2_9_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijthermalsci.2006.06.010"},{"volume-title":"Introduction to Electrodynamics","year":"2002","author":"Griffiths D. J.","key":"e_1_2_9_18_2"},{"key":"e_1_2_9_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijheatmasstransfer.2005.03.021"},{"key":"e_1_2_9_20_2","unstructured":"NabovatiA. Pore level simulation of single and two phase flow in porous media using Lattice Boltzmann method Ph.D. dissertation 2009 University of New Brunswick New Brunswick NJ USA."},{"key":"e_1_2_9_21_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRev.94.511"},{"key":"e_1_2_9_22_2","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1998.6057"},{"key":"e_1_2_9_23_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.70.066310"},{"key":"e_1_2_9_24_2","doi-asserted-by":"crossref","first-page":"3315","DOI":"10.1016\/j.ijheatmasstransfer.2007.01.035","article-title":"Simulating oscillatory flows in Raleigh-B\u00e9nard convection using the lattice Boltzmann method","volume":"50","author":"Kao P. 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