{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T09:20:07Z","timestamp":1760347207743,"version":"build-2065373602"},"reference-count":27,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2025,2,20]],"date-time":"2025-02-20T00:00:00Z","timestamp":1740009600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The isothermal motion of incompressible second-grade fluids induced by an infinite circular cylinder that rotates around its symmetry axis is analytically and numerically investigated when the magnetic and porous effects are taken into consideration. General closed-form expressions are established for the dimensionless velocity field and the corresponding motion problem is completely solved. For illustration, some special cases are considered, and the results\u2019 correctness is graphically proved. Based on a simple but important observation, the obtained results have been used to provide a general expression for the shear stress corresponding to MHD motions of the same fluids through a porous medium induced by a longitudinal shear stress on the boundary. Finally, graphical representations are used to bring to light the influence of the magnetic field and porous medium on the fluid behavior. It was found that the fluid flows slower and the steady state is reached earlier in the presence of a magnetic field or porous medium.<\/jats:p>","DOI":"10.3390\/sym17030319","type":"journal-article","created":{"date-parts":[[2025,2,20]],"date-time":"2025-02-20T11:03:37Z","timestamp":1740049417000},"page":"319","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["General Solutions for MHD Motions of Second-Grade Fluids Through a Circular Cylinder Filled with Porous Medium"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9056-0911","authenticated-orcid":false,"given":"Constantin","family":"Fetecau","sequence":"first","affiliation":[{"name":"Academy of Romanian Scientists, 3 Ilfov, 050044 Bucharest, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9212-6887","authenticated-orcid":false,"given":"Shehraz","family":"Akhtar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, The Islamia University of Bahawalpur, Rahim Yar Khan Campus, Rahim Yar Khan 64200, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Norina Consuela","family":"Forna","sequence":"additional","affiliation":[{"name":"Academy of Romanian Scientists, 3 Ilfov, 050044 Bucharest, Romania"},{"name":"Faculty of Dental Medicine, \u201cGrigore T. Popa\u201d University of Medicine and Pharmacy, 16 University Street, 700115 Iasi, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7250-3131","authenticated-orcid":false,"given":"Costic\u0103","family":"Moro\u015fanu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, \u201cAlexandru Ioan Cuza\u201d University, 700506 Iasi, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,2,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Truesdell, C., and Noll, W. (1965). The Non-Linear Field Theories of Mechanics. The Non-Linear Field Theories of Mechanics\/Die Nicht-Linearen Feldtheorien der Mechanik, Springer. 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