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Description
In fluid-solid interaction systems, reactions at the interface can significantly influence the diffusion process, leading to complex mass transfer dynamics. This study presents a mathematical model to investigate the coupled behavior of an acid solution interacting with a reactive solid boundary. By formulating a one-dimensional diffusion equation with various types of reactions at the boundary, we examine how the diffusion process is affected by different reaction orders and types. The resulting model is characterized by a Robin boundary condition, which reflects the interaction between diffusion and surface reaction rates. Our findings demonstrate that the presence of a reactive boundary condition substantially increases the diffusion flux at the interface, particularly at the initial stages of the process, where the imposed reaction rate is higher. This enhanced diffusion leads to a stronger mass transfer rate, underscoring the importance of considering both diffusion and reaction kinetics in modeling fluid-solid systems. The insights gained from this study provide a deeper understanding of the diffusion-reaction coupling at interfaces, with potential applications in fields such as catalysis, corrosion, and environmental engineering.
| Country | Brazil |
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