{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,12]],"date-time":"2025-12-12T13:26:51Z","timestamp":1765546011155,"version":"3.37.3"},"reference-count":18,"publisher":"Wiley","license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"Deanship of Scientific Research at King Saud University","award":["RGP-VPP-080"],"award-info":[{"award-number":["RGP-VPP-080"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2015]]},"abstract":"<jats:p>Natural convective boundary-layer flow of a nanofluid on a heated vertical cylinder embedded in a nanofluid-saturated porous medium is studied. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. Lie groups analysis is used to get the similarity transformations, which transform the governing partial differential equations to a system of ordinary differential equations. Two groups of similarity transformations are obtained. Numerical solutions of the resulting ordinary differential systems are obtained and discussed for various values of the governing parameters.<\/jats:p>","DOI":"10.1155\/2015\/741352","type":"journal-article","created":{"date-parts":[[2015,3,25]],"date-time":"2015-03-25T19:29:14Z","timestamp":1427311754000},"page":"1-6","source":"Crossref","is-referenced-by-count":4,"title":["Lie Group Analysis on Brownian Motion and Thermophoresis Effect on Free Convective Boundary-Layer Flow on a Vertical Cylinder Embedded in a Nanofluid-Saturated Porous Medium"],"prefix":"10.1155","volume":"2015","author":[{"given":"Mohammad","family":"Ferdows","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohammed Abdul Ali","family":"Hamad","sequence":"additional","affiliation":[{"name":"Mathematics Department, Faculty of Science, Assiut University, Assiut 71516, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8149-8098","authenticated-orcid":true,"given":"Mohamed","family":"Ali","sequence":"additional","affiliation":[{"name":"Mechanical Engineering Department, King Saud University, P.O. 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