{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,10]],"date-time":"2026-04-10T09:43:52Z","timestamp":1775814232448,"version":"3.50.1"},"reference-count":29,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2025,5,20]],"date-time":"2025-05-20T00:00:00Z","timestamp":1747699200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Deanship of Scientific Research, Vice Presidency for Graduate Studies and Scientific Research, King Faisal University, Saudi Arabia","award":["KFU 251871"],"award-info":[{"award-number":["KFU 251871"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>The study examines the onset of magnetoconvection in a Casson fluid-saturated inclined porous layer. Oberbeck\u2013Boussinesq approximation and Darcy law employed to characterize the fluid motion. The stability of the system is examined using both linear and nonlinear stability theories. A basic solution of the governing equation is determined. The linear instability is studied by employing disturbances to the basic flow. The nonlinear instability is analyzed utilizing the energy method. The solution to the eigenvalue problem is derived using the bvp4c routine in MATLAB R2023a. This study evaluates the influence of nondimensional parameters specifically, the Hartmann number, Casson parameter, and inclination angle on both linear and nonlinear instability. The Casson parameter destabilizes the system, whereas the Hartmann number and inclination angle stabilize it. Transverse rolls exhibit greater stability compared to longitudinal rolls. Changes in the Casson parameter significantly affect the presence or absence of transverse rolls; as its value changes, so does the disappearance of transverse rolls.<\/jats:p>","DOI":"10.3390\/axioms14050384","type":"journal-article","created":{"date-parts":[[2025,5,20]],"date-time":"2025-05-20T06:10:46Z","timestamp":1747721446000},"page":"384","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Nonlinear Convection in an Inclined Porous Layer Saturated by Casson Fluid with a Magnetic Effect"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9397-0812","authenticated-orcid":false,"given":"S. Suresh Kumar","family":"Raju","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science King Faisal University, AL Asha 31982, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2025,5,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1111\/j.1365-2621.1963.tb00167.x","article-title":"The direct determination of shear stress-shear rate behavior of foods in the presence of a yield stress","volume":"28","author":"Charm","year":"1963","journal-title":"J. Food Sci."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1111\/j.1745-4603.1975.tb01247.x","article-title":"Rheology of chocolate","volume":"6","author":"Chevalley","year":"1975","journal-title":"J. Texture Stud."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Majeed, A., Mahmood, R., Shahzad, H., Pasha, A., Raizah, Z.A., Hosham, H., Reddy, D., and Hafeez, M. (2023). 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