Readings

Textbooks

Required

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

Supplementary

Amazon logo 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 #TOPICSREADINGS
1Review of Maxwell's equationsLecture 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

3Solenoidal fields and vector potential transfer relationsLecture 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

5Electromechanical dynamicsLecture note 6 (cont.)
Sections 4.4, 4.10, 6.1 to 6.6
6Pressure-velocity relations for inviscid, incompressible fluidsLecture 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
8Plasma stability (z-θ pinch)Lecture note 9
Section 8.12
9Stability of a perfectly conducting spherical drop (Rayleigh's limit)Lecture note 10
Section 8.13
10Stability of a perfectly conducting spherical drop (Rayleigh's limit) (cont.)Lecture note 10 (cont.)
11Stability of a perfectly conducting spherical drop (Rayleigh's limit) (cont.)Lecture note 10 (cont.)
12Smoothly inhomogeneous systemsLecture 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)