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Continuum Electromechanics

Graduate · Historical course

Fall 2008

This course focuses on laws, approximations and relations of continuum electromechanics. Topics include mechanical and electromechanical transfer relations, statics and dynamics of electromechanical systems having a static equilibrium, electromechanical flows, and field coupling with thermal and molecular diffusion. Also covered are electrokinetics, streaming interactions, application to materials processing, magnetohydrodynamic and electrohydrodynamic pumps and generators, ferrohydrodynamics, physiochemical systems, heat transfer, continuum feedback control, electron beam devices, and plasma dynamics. ##### Acknowledgements The instructor would like to thank Xuancheng Shao and Anyang Hou for transcribing into LaTeX the problem set solutions and exam solutions, respectively.

Readings

  • Melcher, James R. Continuum Electromechanics . Cambridge, MA: MIT Press, 1981. ISBN: 9780262131650.
    Required
  • Zahn, Markus. Electromagnetic Field Theory: A Problem Solving Approach . Malabar, FL: Krieger Publishing, Co., 2003. ISBN: 9781575242354.
    Listed reading
  • All textbook readings come from Continuum Electromechanics .
    Listed reading
  • WEEK #: 1 · TOPICS: Review of Maxwell’s equations · READINGS: Lecture note 1
    Reading assignment
  • WEEK #: 3 · TOPICS: Solenoidal fields and vector potential transfer relations · READINGS: Lecture note 4 Sections 2.18 to 2.19
    Reading assignment
  • WEEK #: 5 · TOPICS: Electromechanical dynamics · READINGS: Lecture note 6 (cont.) Sections 4.4, 4.10, 6.1 to 6.6
    Reading assignment
  • WEEK #: 6 · TOPICS: Pressure-velocity relations for inviscid, incompressible fluids · READINGS: Lecture note 7 Sections 8.1 to 8.4
    Reading assignment
  • WEEK #: 8 · TOPICS: Plasma stability (z-θ pinch) · READINGS: Lecture note 9 Section 8.12
    Reading assignment
  • WEEK #: 9 · TOPICS: Stability of a perfectly conducting spherical drop (Rayleigh’s limit) · READINGS: Lecture note 10 Section 8.13
    Reading assignment
  • WEEK #: 10 · TOPICS: Stability of a perfectly conducting spherical drop (Rayleigh’s limit) (cont.) · READINGS: Lecture note 10 (cont.)
    Reading assignment
  • WEEK #: 11 · TOPICS: Stability of a perfectly conducting spherical drop (Rayleigh’s limit) (cont.) · READINGS: Lecture note 10 (cont.)
    Reading assignment
  • WEEK #: 12 · TOPICS: Smoothly inhomogeneous systems · READINGS: Lecture note 11 Section 8.18
    Reading assignment
Sources