{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,3]],"date-time":"2026-07-03T01:07:41Z","timestamp":1783040861184,"version":"3.54.6"},"reference-count":53,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2015,2,13]],"date-time":"2015-02-13T00:00:00Z","timestamp":1423785600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Investigation of the effect of thermal radiation on a fully developed magnetohydrodynamic (MHD) convective flow of a Newtonian, incompressible and electrically conducting fluid in a vertical microchannel bounded by two infinite vertical parallel plates with constant temperature walls through a lateral magnetic field of uniform strength is presented. The Rosseland model for the conduction radiation heat transfer in an absorbing medium and two plates with slip-flow and no-slip conditions are assumed. In addition, the induced magnetic field is neglected due to the assumption of a small magnetic Reynolds number. The non-dimensional governing equations are solved numerically using Runge\u2013Kutta\u2013Fehlberg method with a shooting technique. The channel is optimized based on the Second Law of Thermodynamics by changing various parameters such as the thermal radiation parameter, the temperature parameter, Hartmann number, Grashof to Reynolds ratio, velocity slip length, and temperature jump.<\/jats:p>","DOI":"10.3390\/e17020866","type":"journal-article","created":{"date-parts":[[2015,2,13]],"date-time":"2015-02-13T10:40:07Z","timestamp":1423824007000},"page":"866-881","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":23,"title":["Optimal Design of Magnetohydrodynamic Mixed Convection Flow in a Vertical Channel with Slip Boundary Conditions and Thermal Radiation Effects by Using an Entropy Generation Minimization Method"],"prefix":"10.3390","volume":"17","author":[{"given":"Mohamad","family":"Abdollahzadeh Jamalabadi","sequence":"first","affiliation":[{"name":"Ship Engineering Department, School of Mechanical Engineering, Maritime University of Chabahar, Chabahar 99717-56499, Iran"},{"name":"Graduate School of Mechanical and Aerospace Engineering, Gyeongsang National University, Jinju, Gyeongnam 660-701, Korea"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jae","family":"Park","sequence":"additional","affiliation":[{"name":"Department of Aerospace and Software Engineering and Research Center for Aircraft Parts Technology, Gyeongsang National University, Jinju, Gyeongnam 660-701, Korea"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Chang","family":"Lee","sequence":"additional","affiliation":[{"name":"Thermochemical Energy System R&BD Group, Korea Institute of Industrial Technology, Cheonan-si, Chungcheongnam-do 331-822, Korea"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2015,2,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1115\/1.2825987","article-title":"Analysis of combine forced and free flow in a vertical channel with viscous dissipation and isothermal-isoflux boundary conditions","volume":"121","author":"Barletta","year":"1999","journal-title":"J. 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