NONE 20260602082558017 wseas/wseas content-registration-form+ja@crossref.org content-registration-form WSEAS TRANSACTIONS ON FLUID MECHANICS 1790-5087 2224-347X M. G. Ibrahim Basic and Applied Science Department, International Academy for Engineering and Media Science, 11311, EGYPT Ibrahim. M. Gomaa ElSewedy University of Technology, Basic Science Department, EGYPT Samar El-Sayed Ahmed Architecture Engineering Department, International Academy for Engineering and Media Science, 11311, EGYPT This study investigates the magnetohydrodynamic (MHD) flow, heat, and mass transfer of a pseudoplastic (non-Newtonian) nanofluid within a mixed convection channel. The analysis focuses on the coupled effects of temperature-dependent activation energy and variable electrical conductivity, governed by the Wiedemann-Franz law. An adaptive multi-step differential transform method (AM-DTM) is employed to solve the governing non-linear equations. The solutions characterize the behavior of a tabbed bolus, the velocity maximum, and the spatial distributions of velocity, temperature, and nanoparticle concentration. Model validation is achieved through numerical comparison with nearest published results. Key findings indicate that elevated temperature- and concentration-dependent electrical conductivity enhances the potential energy of nanoparticles. This effect increases the temperature of the interior channel walls by 3–5 °C, a mechanism with potential applications for sustainable thermal management in building envelopes. Furthermore, modulation of thermophoresis and Brownian motion parameters provides effective control over the maximum flow velocity, thereby optimizing heat transfer rates. This optimization is directly relevant to improving thermal regulation in advanced solar cell systems. The absorption and transfer of solar thermal energy are critical in numerous industrial and architectural applications. 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