Traditional Modeling of Fluid Flow and Transport Phenomena

Abstract

This chapter provides an introductory overview of the key concepts and principles in fluid mechanics. It begins by exploring the properties and classifications of fluids. We then present the fluid motion equations, covering the principles of mass, momentum, energy conservation, and solute transport. As common cases, the inviscid flow, Euler's equations, and Bernoulli's principle are included, illustrating fundamental concepts in fluid dynamics. The chapter also emphasizes the significance of dimensional analysis. This powerful tool simplifies complex fluid dynamics problems and helps identify parallels between disparate systems. Following this, we examine boundary layer theory, essential for understanding fluid behavior in proximity to solid surfaces. Additionally, the chapter introduces the concept of non-Newtonian fluids. Finally, we discuss the fundamentals of flow in porous media. This includes an overview of Darcy's law, various dispersion models, and the dynamics of two-phase and multiphase flows within porous structures.