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2021　Analytical and analogical methods to solve the heat transfer equation and the application to infrared image processing

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Academic unit or major
Graduate major in Materials Science and Engineering
Instructor(s)
Batsale Jean Christophe Gerard 
Class Format
Lecture     
Media-enhanced courses
Day/Period(Room No.)
Intensive ()  
Group
-
Course number
MAT.P507
Credits
1
Academic year
2021
Offered quarter
3-4Q
Syllabus updated
2021/4/6
Lecture notes updated
-
Language used
English
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Course description and aims

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.

Student learning outcomes

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 that will be developed

✔ 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/Required learning

  Course schedule Required learning
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.

Textbook(s)

Not required.

Reference books, course materials, etc.

Materials used in class can be found on OCW-i.

Assessment criteria and methods

Student's course scores are based on the report submitted.

Related courses

  • MAT.P426 ： Thermal Properties of Materials

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

No prerequisites are necessary, but enrollment in the related courses is desirable.

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