{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,3]],"date-time":"2025-12-03T17:36:19Z","timestamp":1764783379203,"version":"3.41.2"},"reference-count":37,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,2,9]],"date-time":"2012-02-09T00:00:00Z","timestamp":1328745600000},"content-version":"vor","delay-in-days":39,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"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 flow of an incompressible electrically conducting viscous fluid in convergent or divergent channels under the influence of an externally applied homogeneous magnetic field is studied both analytically and numerically. Navier\u2010Stokes equations of fluid mechanics and Maxwell\u2019s electromagnetism equations are reduced into highly non\u2010linear ordinary differential equation. The resulting non\u2010linear equation has been solved analytically using a very efficient technique, namely, differential transform method (DTM). The DTM solution is compared with the results obtained by a numerical method (shooting method, coupled with fourth\u2010order Runge\u2010Kutta scheme). The plots have revealed the physical characteristics of flow by changing angles of the channel, Hartmann and Reynolds numbers.<\/jats:p>","DOI":"10.1155\/2012\/157067","type":"journal-article","created":{"date-parts":[[2012,2,9]],"date-time":"2012-02-09T21:01:54Z","timestamp":1328821314000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["MHD Flow of an Incompressible Viscous Fluid through Convergent or Divergent Channels in Presence of a High Magnetic Field"],"prefix":"10.1155","volume":"2012","author":[{"given":"Reza","family":"Hosseini","sequence":"first","affiliation":[]},{"given":"Sadegh","family":"Poozesh","sequence":"additional","affiliation":[]},{"given":"Saeed","family":"Dinarvand","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,2,9]]},"reference":[{"key":"e_1_2_7_1_2","doi-asserted-by":"publisher","DOI":"10.1080\/14786440408635327"},{"key":"e_1_2_7_2_2","first-page":"34","article-title":"Spiralf\u00f6rmige Bewgungen Z\u00e4her Fl\u00fcssigkeiten","volume":"25","author":"Hamel G.","year":"1916","journal-title":"Jahresber Deutsch Math-Verein"},{"volume-title":"Boundary Layer Theory","year":"1955","author":"Schlichting H.","key":"e_1_2_7_3_2"},{"key":"e_1_2_7_4_2","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1940.0068"},{"volume-title":"An Introduction to Fluid Dynamics","year":"1967","author":"Batchelor K.","key":"e_1_2_7_5_2"},{"key":"e_1_2_7_6_2","doi-asserted-by":"publisher","DOI":"10.1017\/S0022112086001441"},{"key":"e_1_2_7_7_2","first-page":"119","article-title":"Laminar flow in symmetrical channels with slightly curved walls. 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