Multiphase Flows: Foundations, Analytical Solutions, and Stability

Multiphase flows are central to modern chemical engineering, energy systems, and environmental processes. Understanding how different phases interact requires a solid grasp of fluid mechanics and mathematical modeling. This text-based course guides you from fundamental fluid principles to solving complex analytical equations and performing stability analyses on multiphase systems. By completing this course, you will transition from qualitative observations of fluid mixtures to rigorous quantitative modeling. You will learn to formulate governing equations for layered, dispersed, and film flows, and evaluate their stability using perturbation techniques. What you'll learn: - Understand the core terminology, classification, and physical principles of multiphase flows - Formulate mass, momentum, and energy conservation equations for multi-fluid systems - Solve classic analytical problems for stratified, film, and annular flow regimes - Apply linear stability analysis to predict when a interface becomes unstable - Analyze the effects of surface tension, viscosity ratios, and gravity on flow patterns - Practice deriving governing equations for modern engineering applications The course begins with foundational definitions of phases, interfaces, and flow regimes before moving into detailed mathematical derivations. You will then progress to solving steady-state analytical problems and exploring dynamic stability analysis step-by-step through clear written explanations and equations. This course is designed for engineering students, researchers, and professionals who want a solid mathematical foundation in multiphase fluid dynamics. A basic background in introductory fluid mechanics and calculus is helpful, but no prior experience with multiphase modeling is required. Start reading today to master the mathematical foundations of multiphase flow systems.