2021 Faculty Courses School of Materials and Chemical Technology Department of Materials Science and Engineering Graduate major in Materials Science and Engineering
Analytical and analogical methods to solve the heat transfer equation and the application to infrared image processing
- Academic unit or major
- Graduate major in Materials Science and Engineering
- Instructor(s)
- Jean Christophe Gerard Batsale
- Class Format
- Lecture
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - Intensive
- Class
- -
- Course Code
- MAT.P507
- Number of credits
- 100
- Course offered
- 2021
- Offered quarter
- 3-4Q
- Syllabus updated
- Jul 10, 2025
- Language
- English
Syllabus
Course overview and goals
This course discusses the following two methods;
1. Quadrupole method (analytical and analogical methods in order to solve the heat transfer equation).
2. Inverse methods and parameters estimation, some tools for the processing of thermal images.
Course description and aims
1. Understand the heat transfer and the analytical method to solve the equations.
2. Understand the inverse methods and the parameter estimation in heat transfer.
3. Understand the heat transfer in materials.
Keywords
Heat transfer, quadrupole method, inverse method
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
Before coming to class, students should read the course schedule and check what topics will be covered. Required learning should be completed outside of the classroom for preparation and review purposes.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Part1-1. Introduction, considerations about the diffusivity and the diffusion equation | To understand the diffusivity and the diffusion equation. |
| Class 2 | Part1-2. Analytical approach with Laplace transform for simple 1D-cases and electrical analogy | To understand the analytical approach with Laplace transform for simple 1D-cases and electrical analogy. |
| Class 3 | Part1-3. Main remarks and several examples | Practice the examples to understand the remarks. |
| Class 4 | Part2-1. Parameter estimation from a big amount of data with a linear least square method | To understand the parameter estimation from a big amount of data with a linear least square method. |
| Class 5 | Part2-2. Space Fourier transform and thermal image processing (relations with the quadrupole method) | To understand the space Fourier transform and thermal image processing. |
| Class 6 | Part2-3. Examples of deconvolution problems in time and thermal image processing | To understand the examples of deconvolution problems in time and thermal image processing. |
| Class 7 | "Analytical methods adapted to the measurement of steady thermophysical properties at nano-scales" & "Inverse processing in thermal imaging" | To understand the recent topics in thermal science and engineering. |
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)
Not required.
Reference books, course materials, etc.
Materials used in class can be found on OCW-i.
Evaluation methods and criteria
Student's course scores are based on the report submitted.
Related courses
- MAT.P426 ： Thermal Properties of Materials
Prerequisites
No prerequisites are necessary, but enrollment in the related courses is desirable.