Abstract: 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. The integration of nanofluids within building envelopes represents an innovative passive cooling strategy for sustainable architecture.

Keywords: Sustainable Architecture, Hybrid channel, Pseudoplastic nanofluid, adaptive multi-step differential transform method, Dependent - Electrical conductivity, Activation energy, WolframMathematica 14.2.

Pages: 206-214