Mathematical Modeling of Fluid Dynamics: Applications in Engineering and Environmental Science

Abstract

Mathematical modeling of fluid dynamics plays a pivotal role in various domains, particularly in engineering and environmental science. This article provides an in-depth exploration of mathematical techniques used to model fluid flow, emphasizing their applications in solving complex engineering problems and addressing environmental challenges. By analyzing the governing equations of fluid dynamics, such as the Navier-Stokes equations, and applying numerical methods for their solution, the study highlights how these models contribute to advancements in engineering design, environmental monitoring, and resource management. The paper also discusses the integration of these models with empirical data and the development of innovative simulation tools that enhance predictive capabilities. Through case studies and practical examples, this article illustrates the transformative impact of fluid dynamics modeling on contemporary scientific and engineering practices.