Mathematical Models of Chemical Engineering Processes Using Differential Equations

Abstract

Mathematical modeling plays a critical role in chemical engineering by offering quantitative tools to simulate and predict the behavior of physical and chemical processes. Differential equations, both ordinary and partial, are widely used to describe transport phenomena, reaction kinetics, and dynamic systems in reactors and separations. This article presents foundational and advanced models of chemical engineering processes using differential equations, emphasizing heat and mass transfer, chemical kinetics, reactor dynamics, and process control. The incorporation of numerical methods and simulation tools is also highlighted to solve non-linear systems. Graphical representation of a plug flow reactor (PFR) temperature profile is provided to illustrate modeling capabilities. The study concludes with reflections on the importance of model validation and real-world applications in sustainable and industrial chemical processes.