Exploring the dynamics of non-Newtonian Sutterby fluid conveying tiny particles along an inclined surface: insights into higher order chemical reactions and irreversibility

Sequel to various studies on Sutterby fluids conveying tiny substances, nothing is known about the dynamics of non-Newtonian Sutterby fluid conveying tiny particles along an inclined surface due to quadratic thermal convection to provide insights into higher-order chemical reactions and irreversibility. This study on the dynamics of quadratic thermal convection in Sutterby nanofluids along an inclined plate provides insights into the interplay between higher-order chemical reactions and irreversibility phenomena as it is necessary for advancing the understanding of complex fluid dynamics and enhancing the design and optimization of thermal systems in various engineering and industrial applications. The momentum equation that capture the shear rate, shear stress, consistency index, flow behavior index, and characteristic length scale was adopted for the non-Newtonian Sutterby model. The entropy generation model that depends on the temperature gradient, velocity gradients, chemical reaction rates, mass transfer rates, and heat transfer coefficients was considered. The Buongiorno model which describes the behavior of tiny fluid conveyed by fluid that incorporates volume fraction of nanoparticles, Brownian motion parameter, and thermophoresis parameter was incorporated. The dimensional equations experienced a transformation into a non-dimensional form through appropriate conversions, facilitating the analysis. Employing the built-in function bvp4c in MATLAB, numerical simulations yield insightful results. Heightened chemical reaction rates and thermophoresis parameters lead to increased nanoparticle concentrations. The augmentation of the Brownian motion parameter amplifies the magnitude of the thermal field. Intriguingly, the dominance of shear-thickening fluid over shear-thinning fluid is observed in shaping velocity and temperature profiles. The influence of the Brinkman number is revealed to fortify the entropy profile while attenuating the Bejan number, underscoring the multifaceted nature of the studied phenomena. Graphic abstract