Analysis of Transport Phenomena II: Applications

In this course, you will learn to apply mathematical methods for partial differential equations to model transport phenomena in chemical engineering. Applications include fluid flow, waves, hydrodynamic instabilities, convection, coupled heat and mass transfer, phase transformations and electrochemical transport.

The engineering applications and mathematical methods that you learn in this course will advance your career in industry or academics. You will learn how to formulate models, make scaling estimates and derive analytical approximations. There is growing demand for such mathematical skills in most technical careers and graduate programs today.

At MIT, 10.50 is a required subject for all first-year graduate students in chemical engineering, but it also attracts students from other departments. This online course is suitable for anyone interested in learning the principles of continuum modeling. Although the examples are mostly from chemical engineering, no prior knowledge is assumed about the applications, but familiarity with the mathematical methods of 10.50.1x is assumed.

*Image source: Irmgard Bischofberger

There will be four chapters, each containing “lightboard” lecture videos, tutorials, and a homework assignment, followed by a final exam.

• Fluid Mechanics (continuum mechanics, uni- and multidirectional flows, waves, surface tension and capillarity)
• Convection (forced convection, natural convection)
• Nonequilibrium Thermodynamics (coupled heat and mass transfer, phase separation)
• Electrochemical Transport (neutral and charged electrolytes, electrokinetic phenomena)