{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:22:53Z","timestamp":1760145773951,"version":"build-2065373602"},"reference-count":39,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2024,8,26]],"date-time":"2024-08-26T00:00:00Z","timestamp":1724630400000},"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>In this article, we analytically investigate the isothermal magnetohydrodynamic axial symmetric flows of ordinary and fractional incompressible Oldroyd-B fluids through a porous medium in an annular channel. The fluid\u2019s motion is generated by an outer cylinder, which moves along its symmetry axis with an arbitrary time-dependent velocity Vh(t). Closed-form expressions are established for the dimensionless velocity fields of both kinds of fluids, generating exact solutions for any motion of this type. To illustrate the concept, two particular cases are considered, and the velocity fields corresponding to the flow induced by the outer cylinder are presented in simple forms, with the results validated graphically. The motion of fractional and ordinary fluids becomes steady over time, and their corresponding velocities are presented as the sum of their steady and transient components. Moreover, the steady components of these velocities are identical. The influence of magnetic fields and porous media on the flow of fractional fluids is graphically depicted and discussed. It was found that a steady state is reached earlier in the presence of a magnetic field and later in the presence of a porous medium. Moreover, this state is obtained earlier in fractional fluids compared with ordinary fluids.<\/jats:p>","DOI":"10.3390\/sym16091108","type":"journal-article","created":{"date-parts":[[2024,8,26]],"date-time":"2024-08-26T05:16:24Z","timestamp":1724649384000},"page":"1108","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Memory Effects in the Magnetohydrodynamic Axial Symmetric Flows of Oldroyd-B Fluids in a Porous Annular Channel"],"prefix":"10.3390","volume":"16","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\/0000-0001-9989-8452","authenticated-orcid":false,"given":"Dumitru","family":"Vieru","sequence":"additional","affiliation":[{"name":"Department of Theoretical Mechanics, Technical University of Iasi, 700050 Iasi, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lucian","family":"Eva","sequence":"additional","affiliation":[{"name":"Emergency Hospital \u201cProf. Dr. Nicolae Oblu\u201d, 2 Ateneului Street, 700309 Iasi, Romania"},{"name":"Faculty of Medicine, Apollonia University of Iasi, 11 Pacurari Street, 700511 Iasi, Romania"}],"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"}]}],"member":"1968","published-online":{"date-parts":[[2024,8,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"523","DOI":"10.1098\/rspa.1950.0035","article-title":"On the formulation of rheological equations of state","volume":"200","author":"Oldroyd","year":"1950","journal-title":"Proc. R. Soc. London Ser. A"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"204","DOI":"10.1088\/0022-3727\/4\/2\/304","article-title":"The unsteady flow of an elastico-viscous liquid in a straight pipe of circular cross section","volume":"4","author":"Waters","year":"1971","journal-title":"J. Phys. D Appl. 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