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2022　Transport Phenomena at High Temperature

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Academic unit or major
Undergraduate major in Materials Science and Engineering
Instructor(s)
Hayashi Miyuki 
Class Format
Lecture    (Livestream)
Media-enhanced courses
Day/Period(Room No.)
Mon3-4(H115)  
Group
-
Course number
MAT.M318
Credits
1
Academic year
2022
Offered quarter
1Q
Syllabus updated
2022/3/16
Lecture notes updated
-
Language used
Japanese
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Course description and aims

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.

Student learning outcomes

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 that will be developed

✔ 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/Required learning

  Course schedule Required learning
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

Out-of-Class Study Time (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　

Assessment criteria and methods

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 (i.e., required knowledge, skills, courses, etc.)

Students should have taken Chemical Reaction Dynamics (MAT.M203), or have equivalent knowledge.

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