# INTRODUCTION TO MHD by zzz22140

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```									                             INTRODUCTION TO MHD

PREREQUISITES: MATH2360 (or equivalent)
MATH2620 (or co-requisite MATH3501 for JHS)

No. Of Credits 15

OBJECTIVES

INFORMAL DESCRIPTION

Magnetic fields are of vital importance in astrophysics and geophysics, playing
crucial roles in the dynamics of galaxies, stars (including star formation) and
planets (including the Earth). Magnetohydrodynamics, or MHD for short, is
concerned with understanding the nature of fluid flows in the presence of
magnetic fields. It therefore combines electromagnetic theory with fluid dynamics.
This course gives a basic introduction to MHD, detailing how magnetic fields can
have significant effects on the nature of fluid flows (including the important topic
of plasma confinement in fusion devices) and how fluid flows can self-consistently
lead to the generation of magnetic fields via dynamo action (which is believed to
be important for the maintenance of the magnetic field of both the Earth and Sun).

OBJECTIVES

At the end of this module students should be familiar with the basic properties of
electrically-conducting fluids. In particular they should be aquainted with the
induction equation and the importance of stretching and diffusion, the role of the
Lorentz force and its relevance to plasma confinement, dynamo theory and the
dynamics of magnetic waves.

ASSESSMENT
Examination paper (100%)
3 hour, closed book examination paper.
Regular examples and exercises will be set.

DETAILED SYLLABUS
Introduction to MHD through applications to astrophysics, geophysics and plasma
confinement. Derivation of MHD equations from Maxwell's equations. MHD
approximation; the induction equation and the Lorentz force. Simple
consequences of the induction equation. Illustrative MHD flows. Alfvén's theorem
and flux-freezing. Properties of the Lorentz Force; hydromagnetic equilibrium and
plasma confinement; force-free field configurations. MHD waves. An
introduction to dynamo theory.