{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,17]],"date-time":"2026-01-17T08:51:08Z","timestamp":1768639868250,"version":"3.49.0"},"reference-count":33,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2012,6,12]],"date-time":"2012-06-12T00:00:00Z","timestamp":1339459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In this paper, we investigate the combined effects of buoyancy force and Navier slip on the entropy generation rate in a vertical porous channel with wall suction\/injection. The nonlinear model problem is tackled numerically using Runge\u2013Kutta\u2013Fehlberg method with shooting technique. Both the velocity and temperature profiles are obtained and utilized to compute the entropy generation number. The effects of slip parameter, Brinkmann number, the Peclet number and suction\/injection Reynolds number on the fluid velocity, temperature profile, Nusselt number, entropy generation rate and Bejan number are depicted graphically and discussed quantitatively.<\/jats:p>","DOI":"10.3390\/e14061028","type":"journal-article","created":{"date-parts":[[2012,6,12]],"date-time":"2012-06-12T11:01:39Z","timestamp":1339498899000},"page":"1028-1044","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":34,"title":["Combined Effect of Buoyancy Force and Navier Slip on Entropy Generation in a Vertical Porous Channel"],"prefix":"10.3390","volume":"14","author":[{"given":"Adetayo Samuel","family":"Eegunjobi","sequence":"first","affiliation":[{"name":"Institute for Advance Research in Mathematical Modelling and Computation, Cape Peninsula University of Technology, P.O. Box 1906, Bellville 7535, South Africa"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Oluwole Daniel","family":"Makinde","sequence":"additional","affiliation":[{"name":"Institute for Advance Research in Mathematical Modelling and Computation, Cape Peninsula University of Technology, P.O. Box 1906, Bellville 7535, South Africa"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2012,6,12]]},"reference":[{"key":"ref_1","unstructured":"White, F.S. (1974). Viscous Fluid Flow, McGraw-Hill."},{"key":"ref_2","unstructured":"Ingham, D.B., and Pop, I. (2002). Transport Phenomena in Porous Media, Pergamon."},{"key":"ref_3","unstructured":"Nield, D.A., and Bejan, A. (2006). Convection in Porous Media, Springer. [3rd ed.]."},{"key":"ref_4","first-page":"319","article-title":"MHD steady flow in a channel with slip at the permeable boundaries","volume":"51","author":"Makinde","year":"2006","journal-title":"Rom. J. 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