University of Tehran Press Journal of Computational Applied Mechanics 2423-6713 57 2 2026 04 01 Investigation of Darcy-Forchheimer Magnetohydrodynamic Casson Fluid Flow over a Nonlinear Permeable Stretching Sheet with Temperature-Reliant Viscosity 275 295 105340 10.22059/jcamech.2026.408914.1751 EN Dhananjay Yadav Department of Mathematical & Physical Sciences, University of Nizwa, Oman Hajar Al Nasiri Department of Mathematical & Physical Sciences, University of Nizwa, Oman Mukesh Kumar Awasthi Department of Mathematics, Babasaheb Bhimrao Ambedkar University, Lucknow 226025, India Pushap Lata Sharma Department of Mathematics & Statistics, Himachal Pradesh University, Summer Hill, Shimla, 171005, India Zahrah Al Wahibi Department of Mathematical & Physical Sciences, University of Nizwa, Oman Mana Al Saadi Department of Mathematical & Physical Sciences, University of Nizwa, Oman Muzna Al Riyami Department of Mathematical & Physical Sciences, University of Nizwa, Oman Alzahraa Al Toubi Department of Mathematical & Physical Sciences, University of Nizwa, Oman Balqis Al Jabri Department of Mathematical & Physical Sciences, University of Nizwa, Oman Journal Article 2025 12 27 This examination numerically inspects the influences of key factors on the flow and heat transmission of a Casson fluid over a nonlinearly stretching sheet in a permeable medium, considering inconstant viscosity and a magnetic field. The boundary-layer equations were cracked applying the Runge–Kutta technique, with results confirmed by MATLAB’s bvp5c solver and validated against published data. Results show that velocity rises with higher Prandtl number and the nonlinear factor of the stretching sheet but drops with higher porosity factor, Forchheimer number, Casson factor, magnetic field factor, and viscosity variation factor. Temperature declines with Prandtl number and the nonlinear factor of the stretching sheet but enlargements with other parameters. The nonlinear factor of the stretching sheet boosts skin friction and heat transmission, whereas higher porosity factor, Forchheimer number, viscosity variation factor, magnetic field factor, and Casson factor lessen them. The findings offer insight into the mutual effects of non-Newtonian performance, magnetic field, and permeable media on boundary layer flow and thermal transportation. https://jcamech.ut.ac.ir/article_105340_8a872a3d7daa5237f431605ac8b22012.pdf