Modeling Transport Phenomena of Microparticles

Understanding how tiny particles move, interact, and settle in fluids is crucial for modern engineering, biotechnology, and drug delivery systems. This text-only course provides a clear, step-by-step introduction to the mathematical modeling of microparticle dynamics without requiring advanced prior knowledge. You will transition from basic fluid mechanics principles to constructing robust transport models for real-world scenarios. By reading through our structured explanations, you will learn to formulate and solve the governing equations that dictate microparticle behavior in various flow environments. What you'll learn: - Understand the fundamental principles of low Reynolds number flows and microfluidics - Formulate governing differential equations for particle transport and diffusion - Analyze the forces acting on microparticles, including drag, gravity, and electrostatic interactions - Apply analytical and numerical modeling techniques to predict particle trajectories - Explore modern applications such as targeted drug delivery and micro-filtration systems - Practice setting up boundary conditions for complex micro-scale boundary layers This course begins with foundational concepts in fluid dynamics and particle physics, gradually moving into advanced transport equations and boundary value problems. You will study clear mathematical derivations and practical scenarios that illustrate how these models are applied in contemporary research. This course is designed for engineering students, researchers, and professionals who want to build a solid mathematical foundation in micro-scale transport phenomena. No advanced background in microfluidics is required, though a basic understanding of calculus is helpful. Start reading today to master the physics and mathematics of microparticle transport.