Continuum Electromechanics Notes

Continuum Electromechanics

Fall 2008

Peak pattern with a magnetic field of about 330 Gauss perpendicular to an oil-based ferrofluid layer. The peaks initiate in an hexagonal array when the magnetic surface force exceeds the stabilizing effects of fluid weight and surface tension. (Image by Prof. Markus Zahn.)

Lecture Notes

Some of the images in the lecture notes are courtesy of MIT Press and Krieger Publishing. These images are used with permission.

Images courtesy of MIT Press are from the textbook:

Melcher, James R. Continuum Electromechanics. Cambridge, MA: MIT Press, 1981. ISBN: 9780262131650.

Images courtesy of Krieger Publishing are from the textbook:

Zahn, Markus. Electromagnetic Field Theory: A Problem Solving Approach. Malabar, FL: Krieger Publishing, Co., 2003. ISBN: 9781575242354.

The textbooks are available in Supplemental Resources under Continuum Electromechanics and Electromagnetic Field Theory: A Problem Solving Approach.

WEEK #	TOPICS
1	Lecture 1: review of Maxwell's equations (PDF - 1.7 MB)
2	Lecture 2: flux-potential relations for Laplacian fields (PDF) Lecture 3: air-gap magnetic machines and electrostatic machines (PDF)
3	Lecture 4: solenoidal fields and vector potential transfer relations (PDF)
4	Lecture 5: laws, approximations, and relations of fluid mechanics (PDF - 2.1 MB) Lecture 6: stress tensors (PDF)
5	Lecture 6 (cont.): electromechanical dynamics (PDF)
6	Lecture 7: pressure-velocity relations for inviscid, incompressible fluids (PDF)
7	Lecture 8: electrohydrodynamic and ferrohydrodynamic instabilities (PDF - 1.7 MB) Kelvin-Helmholtz instability (PDF)
8	Lecture 9: plasma stability (z-θ pinch) (PDF)
9	Lecture 10: stability of a perfectly conducting spherical drop (Rayleigh's limit) (PDF)
10	Lecture 10 (cont.): stability of a perfectly conducting spherical drop (Rayleigh's limit)
11	Lecture 10 (cont.): stability of a perfectly conducting spherical drop (Rayleigh's limit)
12	Lecture 11: smoothly inhomogeneous systems (PDF)