This research investigates the Magnetohydrodynamic (MHD) flow of a Sutterby hybrid nanofluid over a convectively heated stretching sheet, specifically addressing the protection of human skin from solar thermal radiation. Utilizing Buongiorno’s nanomaterial model, the study evaluates the synergy of Cadmium Selenide (CdSe) and (š¶6š»11šš4)š− Chitosan nanoparticles in mitigating radiation absorption. The governing nonlinear equations are transformed into ordinary differential equations and solved numerically. The analysis is conducted in two distinct phases. First, the physical flow dynamics are examined. Results indicate that an increase in the Deborah number (De) and Reynolds number (Re) enhances fluid velocity, while an intensified magnetic field (M) reduces flow speed due to the Lorentz force. Thermal analysis reveals that the radiation parameter (Rd) and Eckert number (Ec) significantly thicken the thermal boundary layer, enhancing heat dissipation. Second, the study introduces a novel uncertainty analysis using Triangular Fuzzy Numbers (TFN) within the α range [0, 0.5, 1] to assess nanoparticle volume fractions. By employing the α-cut methodology and the Triangular Membership Function (TMF), the research evaluates the variability of the velocity and temperature profiles. Fuzzy linear regression demonstrates that the fuzzy velocity profile achieves its maximum flow rate at the central (crisp) value compared to the left and right membership bounds. These findings suggest that hybrid nanoparticles offer a superior internal defense mechanism against solar damage compared to topical treatments, providing a theoretical foundation for developing high-efficiency solar protection technologies.
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