Electrohydrodynamics
Thesis/Dissertation
·
OSTI ID:6741631
An order of magnitude analysis shows the exact conditions under which the induced magnetic fields in electrohydrodynamics can be neglected, leaving only a fluid flow-electric field coupling. Electrically driven flow and flow dominated electrodynamics are derived as special cases of electrohydrodynamics based mainly on the parameter Omega, which represents the ratio of the applied and induced pressure forces to the electric body forced. The equations of the flow-dominated case, based on large Omega, are shown to reduce to those of classical fluid mechanics and a set of linear equations for the electrodynamics which depend on the fluid flow solution. The theory for electrically driven flow begins with several theorems, some of which show that inviscid flows exhibit a balance between mechanical energy changes and work done on the fluid by the electric body force. It is also proven that when the current density is irrotational that vorticity is produced by the classical mechanical means only. Complementary to this is the result that an irrotational flow implies an irrotational current density. However, cases for which the current density is irrotational, which includes the vast majority of static cases, are shown to exist only when all the level surfaces of electrical potential, including the electrode surfaces, are parallel and have constant mean and Gaussian curvatures. A generally applicable perturbation scheme is then developed as well as several new exact solutions to both the electrical equations and to the complete problem.
- Research Organization:
- Duke Univ., Durham, NC (USA)
- OSTI ID:
- 6741631
- Country of Publication:
- United States
- Language:
- English
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