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.
| 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 Lecture note 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 Lecture note 6 |
| 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)
