International Journal of Science, Engineering and TechnologyAuthors: K. Vanaja, Associate Professor, Indla Vakula
Abstract: Applied mathematics plays a fundamental role in advancing chemical science and technology by providing quantitative tools for analyzing chemical reactions, transport phenomena, process optimization, thermodynamics, fluid mechanics, and molecular interactions. Mathematical models enable scientists and engineers to simulate complex chemical systems, predict reaction behavior, optimize industrial processes, and develop sustainable technologies. The present study investigates the contribution of applied mathematics to chemical science through differential equations, numerical methods, optimization techniques, statistical analysis, and computational simulations. Mathematical formulations of reaction kinetics, diffusion transport, heat transfer, and reactor design are presented and analyzed. Numerical simulations demonstrate the influence of governing parameters on chemical processes and industrial performance. Comparative studies reveal that mathematical modeling significantly improves process efficiency, safety, and economic feasibility. The study highlights the interdisciplinary importance of applied mathematics in chemical engineering, nanotechnology, pharmaceuticals, environmental science, and advanced materials research.
DOI: http://doi.org/10.5281/zenodo.20583659
