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Electrohydrodynamic and Magnetohydrodynamic Nonlinear Surface Waves

Journal Article · · Physics of Fluids (New York)
DOI:https://doi.org/10.1063/1.1724470· OSTI ID:4775667
A nonlinear formulation of electrohydrodynamic and magnetohydrodynamic surface interactions is developed which, in the absence of magnetic or electric fields, becomes the classical long'' gravity-wave theory. The results are valid for a shallow highly conducting fluid that interacts strongly with a rigid highly conducting plate in such a way as to either conserve an electric potential difference or a magnetic flux. The growth of surface discontinuities from compression and depression waves is discussed, with transition electrohydrodynamic waves originating from timelike data given to illustrate waves that are partly controlled by gravity and partly by the electric field. Waves initiated from spacelike data are also described, and the integral jump conditions derived.
Research Organization:
Massachusetts Inst. of Tech., Cambridge
Sponsoring Organization:
USDOE
NSA Number:
NSA-17-003611
OSTI ID:
4775667
Journal Information:
Physics of Fluids (New York), Journal Name: Physics of Fluids (New York) Journal Issue: 9 Vol. 5; ISSN 0031-9171; ISSN PFLDAS
Publisher:
American Institute of Physics
Country of Publication:
Country unknown/Code not available
Language:
English

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