Course Title : Special Topics in Transport Phenomena

Code 10H002
Course Year Master and Doctor Course
Term Spring term
Class day & Period
Credits 1.5
Restriction No Restriction
Lecture Form(s) Lecture
Language Japanese
Instructor Department of Chemical Engineering, Professor, Ryoichi Yamamoto

Course Description

After general introductions on the flow properties (Rheology) of polymeric liquids as typical examples of non-Newtonian fluids, the relationship (known as the constitutive equation) between strain rate and stress is explained. In addition to classical phenomenological approaches, molecular approaches based on statistical mechanics will be taught in this course. To this end, basic lectures on “Langevin Equation”, “Hydrodynamic Interaction”, and “Linear Response Theory” will also be given.


Answers to several questions and exercises, which will be given during the course, are used to judge.

Course Goals

To understand strength and weakness of both phenomenological and molecular approaches to formulate general behaviors of non-Newtonian fluids mathematically as forms of constitutive equations. Also to learn mathematical and physical methodologies necessarily to achieve this.

Course Topics

Theme Class number of times Description
- Polymeric Liquids / Rheology 6 Shedding lights on the nature of polymeric liquids in comparisons with simple Newtonian liquids. Various formulations on the characteristic behaviors of polymeric liquids based on both empirical and molecular approaches are lectured.
- Stochastic Process / Langevin Equation 3 To deal with Brownian motions of particles in solvents, a lecture on Langevin equation is given after some basic tutorials on stochastic process.
- Green Function / Hydrodynamic Interaction 2 To deal with motions of interacting particles in solvents, a lecture on the hydrodynamic interaction is given after some basic tutorials on Green function and Poisson equation.
Understanding Check 1


Transport Phenomena 2nd Ed., Bird, Stewart, Lightfoot, (Wiley)


Introduction to Polymer Physics, Doi, (Oxford) Theory of Simple Liquids 4th Ed., Hansen, McDonald, (Academic Press) Colloidal Dispersions, Russel, Saville, and Schowlter, (Cambridge)


Under graduate level basic knowledge on “Fluid Mechanics / Transport Phenomena” and basic mathematics including “Vector Analyses” are required.

Independent Study Outside of Class

Web Sites

Additional Information

This is an biennial course taught in Japanese (2019, 2021, 2023, ...) or in English (2018, 2020, 2022, ...).

10H002 Japanese (Present Syllabus)
10H003 English