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.
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.
Heat transfer, quadrupole method, inverse method
✔ Specialist skills | ✔ Intercultural skills | ✔ Communication skills | ✔ Critical thinking skills | ✔ Practical and/or problem-solving skills |
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 | |
---|---|---|
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. |
Not required.
Materials used in class can be found on OCW-i.
Student's course scores are based on the report submitted.
No prerequisites are necessary, but enrollment in the related courses is desirable.