Advanced Fluid Mechanics 2: the Navier-stokes Equations for Viscous Flows
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.
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- Virtual Classroom
Who should attend?
Comfort with undergraduate-level fluid mechanics, multivariable calculus and undergraduate differential equations: elementary vector and tensor manipulation, Fourier transforms, solving second order linear ODEs and PDEs. Students without this background will find there is a steep learning curve and may have to put in more than the estimated time effort.
- The Navier-Stokes equation and viscous flow
- Pipe flows, channel flows and free surface flows
- Dynamical Similarity and dimensional analysis
- More Complex Viscous Flows; Stokes Flows, Similarity Solutions and Transient Responses
- Lubrication Analysis for Thin fluid films and slender geometries
Course delivery details
This course is offered through Massachusetts Institute of Technology, a partner institute of EdX.
8-12 hours per week
- Verified Track -$99
- Audit Track - Free
Certification / Credits
What you'll 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
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