Advanced Transport

Welcome to the study of advanced transport phenomena in Spring 2025!

The principles of mass, momentum, and energy transport are relevant across scales—from sub-cellular to atmospheric—and across disciplines. This one-semester graduate course provides students with the tools to understand and describe such a diverse set of phenomena. Relevant ideas from vector and tensor calculus are reviewed, as partial differential equations are the natural language of transport phenomena. General concepts from continuum mechanics are introduced, and the balance laws of mass, momentum, and energy are rigorously derived from first principles. Applications of the balance laws are studied, with the goal of developing a physical understanding of various phenomena. The concepts of non-dimensionalization and scaling are emphasized throughout.

Problem Sets

  • [PS01]: due 17 January (Fri.) @ 23:59

  • [PS02]: due 24 January (Fri.) @ 23:59

  • [PS03]: due 31 January (Fri.) @ 23:59

  • [PS04]: due 14 February (Fri.) @ 23:59

  • [PS05]: due 14 February (Fri.) @ 23:59

  • [PS06]: due 28 February (Fri.) @ 23:59

  • [PS07]: due 7 March (Fri.) @ 23:59

  • [PS08]: due 14 March (Fri.) @ 23:59

  • [PS09]: due 28 March (Fri.) @ 23:59

  • [PS10]: due 18 April (Fri.) @ 23:59

  • [PS11]: due 18 April (Fri.) @ 23:59

Exams