{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T22:18:47Z","timestamp":1774649927904,"version":"3.50.1"},"reference-count":25,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,5,17]],"date-time":"2012-05-17T00:00:00Z","timestamp":1337212800000},"content-version":"vor","delay-in-days":137,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100003093","name":"Ministry of Higher Education, Malaysia","doi-asserted-by":"publisher","award":["FRGS\/1\/2011\/SG\/UNIMAP\/03\/7"],"award-info":[{"award-number":["FRGS\/1\/2011\/SG\/UNIMAP\/03\/7"]}],"id":[{"id":"10.13039\/501100003093","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":[[2012,1]]},"abstract":"<jats:p>The problem of thermal diffusion and diffusion thermo effects on thermosolutal Marangoni convection flow of an electrically conducting fluid over a permeable surface is investigated. Using appropriate similarity transformations, the governing system of partial differential equation is transformed to a set of nonlinear ordinary differential equations, then solved numerically using the Runge\u2010Kutta\u2010Fehlberg method. The effects of thermal diffusion and diffusion thermo, magnetic field parameter, thermosolutal surface tension ratio, and suction\/injection parameter on the flow field, heat transfer characteristic, and concentration are thoroughly examined. Numerical results are obtained for temperature and concentration profiles as well as the local Nusselt and Sherwood numbers are presented graphically and analyzed. It is found that these governing parameters affect the variations of the temperature and concentration and also the local Nusselt and Sherwood numbers.<\/jats:p>","DOI":"10.1155\/2012\/750939","type":"journal-article","created":{"date-parts":[[2012,5,17]],"date-time":"2012-05-17T21:02:57Z","timestamp":1337288577000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Thermal Diffusion and Diffusion Thermo Effects on MHD Thermosolutal Marangoni Convection Boundary Layer Flow over a Permeable Surface"],"prefix":"10.1155","volume":"2012","author":[{"given":"R. A.","family":"Hamid","sequence":"first","affiliation":[]},{"given":"W. M. K. A.","family":"Wan Zaimi","sequence":"additional","affiliation":[]},{"given":"N. M.","family":"Arifin","sequence":"additional","affiliation":[]},{"given":"N. A. A.","family":"Bakar","sequence":"additional","affiliation":[]},{"given":"B.","family":"Bidin","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,5,17]]},"reference":[{"key":"e_1_2_6_1_2","unstructured":"NapolitanoL. G. Microgravity fluid dynamics Proceedings of the 2nd Levitch Conference 1978 Washington DC USA."},{"key":"e_1_2_6_2_2","unstructured":"NapolitanoL. G. Marangoni boundary layers Proceedings of the 3rd European Symposium on Materials Sciences in Space 1979 Grenoble France."},{"key":"e_1_2_6_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-0248(98)01071-9"},{"key":"e_1_2_6_4_2","doi-asserted-by":"crossref","first-page":"2404","DOI":"10.1016\/S0017-9310(00)00284-2","article-title":"Interactive thermal and solutal Marangoni convection during compound semiconductor growth in a rectangular open boat","volume":"44","author":"Arafune K.","year":"2001","journal-title":"International Journal of Heat and Mass Transfer"},{"key":"e_1_2_6_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-0248(00)00426-7"},{"key":"e_1_2_6_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0921-5093(03)00512-4"},{"key":"e_1_2_6_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijheatmasstransfer.2006.10.055"},{"key":"e_1_2_6_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.tafmec.2007.05.004"},{"key":"e_1_2_6_9_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00231-004-0611-8"},{"key":"e_1_2_6_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/S1290-0729(01)01244-3"},{"key":"e_1_2_6_11_2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1017431224943"},{"key":"e_1_2_6_12_2","doi-asserted-by":"publisher","DOI":"10.1155\/2011\/875754"},{"key":"e_1_2_6_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2007.05.024"},{"key":"e_1_2_6_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijthermalsci.2007.07.004"},{"key":"e_1_2_6_15_2","first-page":"376","article-title":"Thermal and solutal marangoni mixed convection boundary layer flow","volume":"9","author":"Arifin N. M.","year":"2010","journal-title":"WSEAS Transactions on Mathematics"},{"key":"e_1_2_6_16_2","first-page":"13","article-title":"Radiation effects on marangoni convection over a flat surface with suction and injection","volume":"5","author":"Hamid R. A.","year":"2011","journal-title":"Malaysian Journal of Mathematical Sciences"},{"key":"e_1_2_6_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/0020-7225(94)00132-4"},{"key":"e_1_2_6_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.nahs.2010.08.003"},{"key":"e_1_2_6_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.icheatmasstransfer.2008.04.011"},{"key":"e_1_2_6_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2008.07.001"},{"key":"e_1_2_6_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0096-3003(03)00603-9"},{"key":"e_1_2_6_22_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2007.07.015"},{"key":"e_1_2_6_23_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2011.03.015"},{"key":"e_1_2_6_24_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijheatmasstransfer.2011.02.045"},{"key":"e_1_2_6_25_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2008.05.003"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/750939.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/750939.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/750939","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T07:20:29Z","timestamp":1718090429000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/750939"}},"subtitle":[],"editor":[{"given":"Hiroshi","family":"Kanayama","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":25,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/750939"],"URL":"https:\/\/doi.org\/10.1155\/2012\/750939","archive":["Portico"],"relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,1]]},"assertion":[{"value":"2012-01-06","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-03-15","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-05-17","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"750939"}}