In this course, at first, a difference between rarefied gas dynamis and continuum flow will be explained and then, from s view point, quilibrium state and trabsfort phenomena will be expalined as the basics to understand rarefied gas dynamics. Students will study the governing equation and numerical simulation mehod to solve the equation. Furthermore, visualizing methods and measurement methods for rarefied gas flow will be explained. Finally, engineering applications of rarefied gas flow such as CVD process, MEMS and space engineering will be shown. For better understanding, some exercises will be given in the course.
By the end of this course, students will be able to:
１）Understand differences between rarefied gas flows and continuum flows.
２）Acquire the fundamentals of statistics for treating molecular gas dynamics.
３）Understand the Boltzmann equation and how to solve it numerically.
４）Understand visualization techniques and measurement methods for rarefied gas flow.
rarefied gas flow, Knudsen number, velocity distribution, Maxwell-Boltzmann distribution, mean free path, Boltzmann equation, DSMC(direct simulation Monte Carlo method
Intercultural skills | Communication skills | ✔ Specialist skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
In each class, the topics will be explained using distributed materials. At the end of each class, students are given exercise problems related to the lecture given that day to solve. To prepare for class, students should read the course schedule section 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 | Overview of rarefied gas flow - What situation it is necessary to be considered a flow from a microscopic point of view (atoms/molecules level). | Understand a relationship between the state parameters in the normal fluid dynamics and atoms/molecules. |
Class 2 | Fundamentals of statistical thermodynamics - Basic concept making to learn thermal fluid phenomena in rarefied gas. | Learn a physical image to consider the motion of gas molecules statistically. |
Class 3 | Equilibrium state of gas from a microscopic point of view - Approach to consider the thermal motion of gas molecules statistically. | Understand the nature of gas in thermal equilibrium state. |
Class 4 | Transport phenomena from a microscopic point of view - Essence of thermal-fluid properies of gas such as viscosity and thermal conductivity. | Understand a relationship between the thermal motion of gas molecules and thermal fluid properties. |
Class 5 | Behavior of molecules striking a solid surface - Interaction between molecues and solid surface | Interaction between molecues and solid surface |
Class 6 | Numerical simulation for rarefied gas flow - DSMC method to solve Boltzmann equation | DSMC method to solve Boltzmann equation |
Class 7 | Visualization and measurement technique for rarefied gas flow | Visualization and measurement technique for rarefied gas flow |
Materials will be distributed in each class
Japan Society of Mechanical Engineers, ed. Atoms and molecules of the flow - rarefied gas dynamics and its applications. Kyoritsu Shuppan. ISBN-13: 978-4320081130. (Japanese)
Ryogo, Kubo. translation supervisor. Statistical physics - Berkeley physics course. Maruzen. ISBN-13: 978-4621083437. (Japanese)
Berkeley Physics Course. Complete Statistical Physics (Berkeley Physics Course, Volume 5). McGraw-Hill Science/Engineering/Math. ISBN-13: 978-0070386624.
Course materials are provided during class.
Students' knowledge of rarefied gas flows, Maxwell-Boltzmann distribution, mean free path, Boltzmann equation, DSMC, and their ability to apply them to problems will be assessed.
Midterm and final exams 80%, exercise problems 20%.
None