Course number: ES 275
Instructor: Gary A Glatzmaier
This is the study of fluid flow and magnetic fields for electrically conducting fluids flowing at non-relativistic speeds, i.e., for problems for which the magnetohydrodynamic approximation of Maxwell's equations is valid. After a review of the fundamental equations governing this subject, several example problems are described, including convection and magnetic field generation in the interiors of planets and stars. An assigned computer modeling project on magneto-convection gives the students experience in defining a conceptual problem in geophysics, planetary physics, or astrophysics, setting up a system of equations that mathematically approximates the problem, developing a numerical method for solving the equations, programming the method on a computer, using a graphical post-processor to analyze the computer solutions, running a series of computer jobs that surveys the relevant parameter space, and writing a paper on what was learned.
Review of Fluid Dynamics
Conservation of mass, momentum and energy
Equation of state
Rotation and buoyancy
Magnetic induction equation
Magnetic induction and diffusion
Magnetic pressure, tension and buoyancy
Ferraro isorotation law
Bullard one-disc dynamo
Rikitake two-disc dynamo
Mean field dynamos
This course is designed for graduate students but available for qualified undergraduates with permission of instructor.