Advanced Fluid Mechanics 2: The Navier-Stokes Equations for Viscous Flows
Learn how to model real-world phenomena using differential equations. Solve linear and nonlinear systems, understand qualitative behavior, and solve ODEs and PDEs using Fourier series. Explore the mathematical tools needed to solve differential equations and appreciate their effects on mechanical and electrical systems. Join this comprehensive course from MIT and gain valuable insights into the language of models that describe the world around us.
What you will learn
- The Navier-Stokes equation and appropriate boundary conditions
- The concept of Dynamical similarity
- Application of Dimensional analysis to complex problems
- Analysis of complex viscous flows such as Stokes flows or transient responses
- Lubrication Analysis for thin films and free surfaces
Program Overview
This course covers the Navier-Stokes equations for viscous flows: including pipe flows, channel flows and free surface flows, dynamical similarity and dimensional analysis, Stokes flows, similarity solutions and transient responses, lubrication analysis and surface tension. This course features lecture and demo videos, lecture concept checks, practice problems, and extensive problem sets.
This course is the second of a three-course sequence in incompressible fluid mechanics consisting of Advanced Fluid Mechanics 1: Fundamentals; Advanced Fluid Mechanics 2: The Navier-Stokes Equations for Viscous Flows, and Advanced Fluid Mechanics 3: Potential Flows, Lift, Circulation & Boundary Layers. The series is based on material in MIT?s class 2.25 Advanced Fluid Mechanics, one of the most popular first-year graduate classes in MIT?s Mechanical Engineering Department. This series is designed to help people gain the ability to apply the governing equations, the principles of dimensional analysis and scaling theory to develop physically-based, approximate models of complex fluid physics phenomena. People who complete these three consecutive courses will be able to apply their knowledge to analyze and break down complex problems they may encounter in industrial and academic research settings.
The material is of relevance to engineers and scientists across a wide range of mechanical chemical and process industries who must understand, analyze and optimize flow processes and fluids handling problems. Applications are drawn from hydraulics, aero & hydrodynamics as well as the chemical process industries.
