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This course focuses on laws, approximations and relations of continuum electromechanics.
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Description
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.
Course content
- Lecture 1: review of Maxwell’s equations Unlimited
- Lecture 2: flux-potential relations for Laplacian fields Unlimited
- Lecture 3: air-gap magnetic machines and electrostatic machines Unlimited
- Lecture 4: solenoidal fields and vector potential transfer relations Unlimited
- Lecture 5: laws, approximations, and relations of fluid mechanics Unlimited
- Lecture 6: stress tensors Unlimited
- Lecture 6 (cont.): electromechanical dynamics Unlimited
- Lecture 7: pressure-velocity relations for inviscid, incompressible fluids Unlimited
- Lecture 8: electrohydrodynamic and ferrohydrodynamic instabilities Unlimited
- Kelvin-Helmholtz instability Unlimited
- Lecture 9: plasma stability (z-θ pinch) Unlimited
- Lecture 10: stability of a perfectly conducting spherical drop (Rayleigh’s limit) Unlimited
- Lecture 11: smoothly inhomogeneous systems Unlimited
Instructor
