Course Title : Fundamentals of Magnetohydrodynamics

Code 10C076
Course Year Master and Doctor Course
Term 1st term
Class day & Period Thu 2nd
Location C3-Lecture Room 5
Credits 2
Restriction No Restriction
Lecture Form(s) English Lecture
Language English
Instructor Tomoaki Kunugi, Sadayoshi Murakami,

Course Description

This course provides fundamentals of magnetohydrodynamics which describes the dynamics of electrically conducting fluids, such as plasmas and liquid metals. The course covers the fundamental equations in magnetohydrodynamics, dynamics and heat transfer of magnetofluid in a magnetic field, equilibrium and stability of magnetized plasmas, as well as illustrative examples.

Grading

Attendance and two reports

Course Goals

The students can understand fundamentals of magnetohydrodynamics which describes the dynamics of electrically conducting fluids, such as plasmas and liquid metals. Moreover, the students will figure out the applications of magnetohydrodynamics to the various science and engineering fields.

Course Topics

Theme Class number of times Description
Liquid Metal MHD 7 1. Introduction and Overview of Magnetohydrodynamics
2. Governing Equations of Electrodynamics and Fluid Dynamics
3. Turbulence and Its Modeling
4. Dynamics at Low Magnetic Reynolds Numbers
5. Glimpse at MHD Turbulence & Natural Convection under B field
6. Boundary Layers of MHD Duct Flows
7. MHD Turbulence at Low and High Magnetic Reynolds Numbers
Plasma MHD 8 1. Introduction to Plasma MHD
2. Basic Equation of Plasma MHD
3. MHD Equilibrium
4. Axisymmetric MHD Equilibrium
5. Ideal MHD Instabilities
6. Resistive MHD Instabilities
7. MHD Waves in Plasmas
8. Student Assessment

Textbook

Handout of the presentation will be provided at the lecture

Textbook(supplemental)

P. A. Davidson, “An Introduction to Magnetohydrodynamics,”Cambridge texts in applied mathematics, Cambridge University Press, 2001

Prerequisite(s)

Fundamental fluid dynamics and electromagnetics should be learned prior to attend this lecture.

Independent Study Outside of Class

Web Sites

Additional Information