Impacts of diffusion and chemical reaction on heat transfer in Casson nanofluids flow over a flat plate with accretion

This research aims to understand the application of Casson nanofluids with diffusion and chemical reactions in accretion, ultimately contributing to the development of more efficient and resilient materials for high-temperature environments. The study investigates the unsteady flow of Casson nanofluids over an aligned flat plate with a moving slot subjected to slip boundary conditions. Throughout this analysis, we consider the moment of the nanofluids due to yield stress of the Casson fluid, convection driven by temperature and concentration differences (bi-convection/buoyancy-driven flow), energy transport due to thermal conduction, as well as thermal and mass transport by diffusion, and chemical reactions. The analysis incorporates the effects of convective transport, Brownian motion, thermophoresis diffusion, concentration variations, chemical reactions, and slip conditions. Using the shooting methodology in Matlab software, the Runge–Kutta–Fehlberg (RKF) method evaluates the convergence of the numerical solution. The findings are illustrated using visualizations that provide a clear understanding of the impacts of Casson nanofluids in accretion. Additionally, a performance analysis is conducted by comparing Casson nanofluids such as water with F e 3 O 4 , sodium carboxymethyl cellulose with T i O 2 , and ethylene glycol with C u under increasing accretion rates. We demonstrate the influence of accretion rates on Casson nanofluid flow and thermal properties, highlighting the uniqueness and importance of our contribution to the field. Enhanced molecular diffusion (e.g., through Brownian motion or thermophoresis) can contribute to improved mixing and potentially enhance heat transfer under certain conditions. Conversely, more chemical reactions reduce the heat transfer rate. Concentration reduction can inhibit convective heat and mass transfer, which can reduce the efficiency of systems. Brownian motion typically enhances dispersion and may improve effective thermal conductivity in nanofluids. Finally, our study illustrates the heat transfer efficiency of various nanofluid combinations. This study presents a novel investigation into the heat transfer analysis of the unsteady flow of a mixed convective Casson nanofluid over an aligned flat plate with accretion, which distinguishes our work. We explore new territory in fluid dynamics by considering accretion with the factors such as non-linear velocity, momentum, thermal and concentration gradients, convection, Grashof effects, diffusion and chemical reactions that have not been thoroughly examined in prior studies despite their obvious relevance.