fa1e5c4f-9e77-48ef-a4f5-4a73c5a5efd720240402092057457wseas:wseasmdt@crossref.orgMDT DepositWSEAS TRANSACTIONS ON FLUID MECHANICS2224-347X1790-508710.37394/232013http://wseas.org/wseas/cms.action?id=4036123202412320241910.37394/232013.2024.19https://wseas.com/journals/fluids/2024.phpAmineEl HarfoufMultidisciplinary Laboratory of Research and Innovation (LaMRI), Energy, Materials, Atomic and Information Fusion (EMAFI) Team, Polydisciplinary Faculty of Khouribga, Sultan Moulay Slimane University, MOROCCORachidHerbaziIntelligent Systems and Applications Laboratory (LSIA), EMSI, Tangier, MOROCCOSanaa HayaniMounirMultidisciplinary Laboratory of Research and Innovation (LaMRI), Energy, Materials, Atomic and Information Fusion (EMAFI) Team, Polydisciplinary Faculty of Khouribga, Sultan Moulay Slimane University, MOROCCOHassaneMes-ΑdiLaboratory of Process Engineering, Computer Science and Mathematics, National School of Applied Sciences of the Khouribga University of Sultan Moulay Slimane, MOROCCOAbderrahimWakifFaculty of Sciences Aïn Chock, Laboratory of Mechanics, Hassan II University, Casablanca, MOROCCOThe Casson fluid flow with porous material in magnetohydrodynamics is examined in this work. Additional semi-analytical results are investigated using the Silver-Water nanofluid. The Akbari-Ganji Method (AGM) is used to solve the semi-analytical Cattaneo-Christov heat flux model after taking thermal radiation into account. With the use of appropriate parameters, such as the relaxation time parameter, Prandtl number, radiation parameter, magnetic parameter, and so on, the normalized shear stress at the wall, temperature profile, and rate of heat flux may be examined. This issue has numerous industrial applications and technical procedures, such as the extrusion of rubber sheets and the manufacture of glass fiber. The main physical application is the discovery that a rise in the thermal relaxation parameter and Prandtl number maintains a constant fluid temperature.42202442202415716516https://wseas.com/journals/fluids/2024/a325113-015(2024).pdf10.37394/232013.2024.19.16https://wseas.com/journals/fluids/2024/a325113-015(2024).pdf10.1016/j.enconman.2016.11.003M.M. Amin, M.H. 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