{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,5]],"date-time":"2025-12-05T12:24:52Z","timestamp":1764937492848,"version":"build-2065373602"},"reference-count":42,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2022,12,9]],"date-time":"2022-12-09T00:00:00Z","timestamp":1670544000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Princess Nourah Bint Abdulrahman University","award":["PNURSP2022R59"],"award-info":[{"award-number":["PNURSP2022R59"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The collective effect of thermal and mass convection along with the significance of thermal radiation, heat source\/sink, and magneto-nanofluid are considered. A bi-directional stretching device is used to generate the symmetry of the flowing structure. Nonlinear behavior of thermal radiation is considered here. The magnetic field is considered non-uniform and vertically upward. Significances of pedesis motion and Ludwig\u2013Soret are also revealed in an innovative way with heat source\/sink effects. The concept of symmetry is used to transmute the transport equations from PDE type to nonlinear ODE type. We solved the transformed setup numerically by adopting Keller-box method criteria with the targeted accuracy rate. Graphical interpretations are explored with code verification. It is important to conclude that friction coefficients decline for incremental values of stretching parameter (0.1\u2264\u03b1\u22640.9), magnetic field (0.3\u2264M\u22640.9), and unsteady parameter (0.2\u2264\u039b\u22640.9) along with the bidirectional velocity components, and the rate of heat transmission rises with temperature ratio (1.3\u2264\u0393\u22641.7) and temperature Biot number (0.3\u2264BiT\u22640.9) amplification. Moreso, the rate of mass transfer is enhanced with growing values of pedesis motion (0.2\u2264Nb\u22640.6), unsteady parameter and concentration Biot number (0.3\u2264BiC\u22640.9) with opposite effect when the Ludwig\u2013Soret parameter (0.3\u2264Nt\u22640.6) is boosted.<\/jats:p>","DOI":"10.3390\/sym14122609","type":"journal-article","created":{"date-parts":[[2022,12,9]],"date-time":"2022-12-09T03:59:46Z","timestamp":1670558386000},"page":"2609","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Nonlinear Radiative Nanofluidic Hydrothermal Unsteady Bidirectional Transport with Thermal\/Mass Convection Aspects"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0388-1996","authenticated-orcid":false,"given":"Muhammad","family":"Faisal","sequence":"first","affiliation":[{"name":"Department of Mathematics, Azad Jammu and Kashmir University, Muzaffarabad 13100, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5623-0492","authenticated-orcid":false,"given":"Kanayo Kenneth","family":"Asogwa","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Nigeria Maritime University, Okerenkoko 332105, Delta, Nigeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3283-4870","authenticated-orcid":false,"given":"Nazek","family":"Alessa","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, College of Sciences, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6435-2916","authenticated-orcid":false,"given":"Karuppusamy","family":"Loganathan","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur 303007, Rajasthan, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,12,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"931","DOI":"10.1016\/S0017-9310(01)00189-2","article-title":"Effects of radiation and variable viscosity on a MHD free convection flow past a semi-infinite flat plate with an aligned magnetic field in the case of unsteady flow","volume":"45","author":"Seddeek","year":"2001","journal-title":"Int. J. 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