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Textbooks
Required
Melcher, James R. Continuum Electromechanics. Cambridge, MA: MIT Press, 1981. ISBN: 9780262131650.
Supplementary
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.
Readings by Week
All textbook readings come from Continuum Electromechanics.
Course readings.
| WEEK # |
TOPICS |
READINGS |
| 1 |
Review of Maxwell's equations |
Lecture note 1 |
| 2 |
Flux-potential relations for Laplacian fields
Air-gap magnetic machines and electrostatic machines
|
Lecture note 2
Section 2.16
Lecture note 3
Sections 4.1 to 4.3
|
| 3 |
Solenoidal fields and vector potential transfer relations |
Lecture note 4
Sections 2.18 to 2.19 |
| 4 |
Laws, approximations, and relations of fluid mechanics
Stress tensors
|
Lecture note 5
Sections 7.1 to 7.9
Lecture note 6
Sections 3.9 to 3.10
|
| 5 |
Electromechanical dynamics |
Lecture note 6 (cont.)
Sections 4.4, 4.10, 6.1 to 6.6 |
| 6 |
Pressure-velocity relations for inviscid, incompressible fluids |
Lecture note 7
Sections 8.1 to 8.4 |
| 7 |
Electrohydrodynamic and ferrohydrodynamic instabilities
Kelvin-Helmholtz instability
|
Lecture note 8
Sections 8.9 to 8.14 |
| 8 |
Plasma stability (z-θ pinch) |
Lecture note 9
Section 8.12 |
| 9 |
Stability of a perfectly conducting spherical drop (Rayleigh's limit) |
Lecture note 10
Section 8.13 |
| 10 |
Stability of a perfectly conducting spherical drop (Rayleigh's limit) (cont.) |
Lecture note 10 (cont.) |
| 11 |
Stability of a perfectly conducting spherical drop (Rayleigh's limit) (cont.) |
Lecture note 10 (cont.) |
| 12 |
Smoothly inhomogeneous systems |
Lecture note 11
Section 8.18 |
Additional Topics
Linearized surface tension force density in spherical coordinates (PDF)
Shape of an interface bounded by a vertical plane wall (PDF)
Useful Bessel function relationships (PDF)