Fundamentals of Magnetohydrodynamics

Numbering Code G-ENG08 5C076 LE28 Year/Term 2022 ・ First semester
Number of Credits 2 Course Type Lecture
Target Year Target Student
Language English Day/Period Thu.2
Instructor name MURAKAMI SADAYOSHI (Graduate School of Engineering Professor)
YOKOMINE TAKEHIKO (Graduate School of Engineering Professor)
Outline and Purpose of the Course 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.
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.
Schedule and Contents Liquid Metal MHD,7times,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,8times,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
Evaluation Methods and Policy Attendance and two reports
Course Requirements Fundamental fluid dynamics and electromagnetics should be learned prior to attend this lecture.
Textbooks Textbooks/References Handout of the presentation will be provided at the lecture
References, etc. P. A. Davidson, “An Introduction to Magnetohydrodynamics,”Cambridge texts in applied mathematics, Cambridge University Press, 2001
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