2022 Faculty Courses School of Materials and Chemical Technology Undergraduate major in Materials Science and Engineering
Transport Phenomena at High Temperature
- Academic unit or major
- Undergraduate major in Materials Science and Engineering
- Instructor(s)
- Miyuki Hayashi
- Class Format
- Lecture (Livestream)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 3-4 Mon (H115)
- Class
- -
- Course Code
- MAT.M318
- Number of credits
- 100
- Course offered
- 2022
- Offered quarter
- 1Q
- Syllabus updated
- Jul 10, 2025
- Language
- Japanese
Syllabus
Course overview and goals
After an overview of the relationship between iron and steelmaking process and transport phenomena, and the concepts of matter, momentum, and energy flow, the lecture will focus on diffusion flux, reaction rates, and heat flux. First, Fick's first and second laws are explained so that the diffusion flux in steady and unsteady state can be treated quantitatively. Next, reaction kinetics, especially heterogeneous reactions that are important in iron and steelmaking, are explained, and the rate-controlling step and elementary processes are described using unreacted-core model. Finally, Fourier's heat conduction equation is explained so that students can handle energy flux quantitatively. Along with thermodynamics, transfer kinetics is an important subject in the research and development of high temperature materials and processes. When trying to manufacture a certain material, it is necessary to consider it from two perspectives: thermodynamics and transfer kinetics. In this lecture, we will learn about the flow of mass and energy, which is necessary to examine how fast a material can be produced "kinetically" when it is produced spontaneously.
Course description and aims
By taking this course, students will acquire the following abilities.
(1) Understand the concepts of matter, momentum, and energy flow. (2) To be able to deal quantitatively with diffusion flux and energy flux in steady and unsteady states. (3) Understand the concepts of elementary reaction and rate-controlling steps, and be able to handle heterogeneous reaction rates quantitatively.
Keywords
Flux, Steady state, Non-steady state, diffusion coefficient, chemical reaction rate, rate-controlling step, heterogeneous reaction, conduction heat flow
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
At the beginning of each lecture, the answers will be explained to the previous exercises as a review. Please read the learning objectives of each lecture carefully and do the assignments in preparation and review.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Definition of flux - Analogy among mass, momentum and heat fluxes, Fick's first law | Learn about the relationship between the iron and steelmaking process and transport phenomena, and how to calculate the diffusion flux in steady state. |
| Class 2 | Steady state diffusion - Diffusion of gas and liquid, Diffusion with chemical reaction, Diffusion in solids | Calculation of diffusion in steady state with and without chemical reactions |
| Class 3 | Non-steady state diffusion - Fick's second law, Measurement of inter-diffusion coefficient | Calculation of diffusion in non-steady state |
| Class 4 | Darken's analysis and mass transfer by convection - Boltqmann-Matano's analysis, Up-hill diffusion, Spinodal decomposition, boundary film layer | Calculation of diffusion coefficients using Boltzmann-Matano's analysis |
| Class 5 | Chemical reaction rate - Reaction rate constant, reaction rate equation | Calculation of reaction rates for primary, secondary, sequential, and interfacial reactions |
| Class 6 | Analysis of heterogeneous reactions - Rate-controlling step and unreacted-core model | Calculation of topochemical reaction rate |
| Class 7 | Heat flux and conduction heat flow - Fourier’s equation for heat transfer, thermal conductivity | Calculation of heat flux |
Study advice (preparation and review)
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
Materials relevent to the lecture are provided.
Reference books, course materials, etc.
R. Byron Bird, Warren E. Stewart and Edwin N. Lightfoot 『Transport Phenomena』 John Wiley&Sons, Inc., ISBN: 0-471-41077-2
Evaluation methods and criteria
Students' knowledge of the diffusion in solids, and the momentam and energy transport, and their ability to apply them to problems will be assessed.
Final exams 70%, exercise problems 30%.
Related courses
- MAT.M203 ： Chemical Reaction Dynamics(M)
- MAT.M319 ： Thermodynamics in Metals
Prerequisites
Students should have taken Chemical Reaction Dynamics (MAT.M203), or have equivalent knowledge.