Readings

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
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)