Electrohydrodynamic solitons in Kelvin-Helmholtz flow. The case of a normal field in the absence of surface charges

Journal Article · Wed Jan 01 04:00:00 EST 1986 · Q. Appl. Math.; (United States)

OSTI ID:6100702

El Shehawey, E S.F.

Nonlinear electrohydrodynamic Kelvin-Helmholtz instability conditions are investigated. A charge-free surface separating two semi-infinite dielectric streaming fluids influenced by a normal electric field is subjected to nonlinear deformations. The method of multiple scale perturbations is used in order to obtain two nonlinear Schroedinger (NLS) equations describing the behavior of the disturbed system. The stability and instability conditions of the perturbed system are discussed analytically. One of the two NLS is used to obtain the electrohydrodynamic (EHD) nonlinear cut-off wavenumber separating stable and unstable disturbances while the other equation is used to describe analytically the necessary condition for stability and instability for the system. For unstable case, the solution starting with a solitary wave degenerates into a finite number of EHD solitons.

• Research Organization: Ain Shams University, Egypt
• OSTI ID: 6100702
• Journal Information: Q. Appl. Math.; (United States), Journal Name: Q. Appl. Math.; (United States) Vol. 43:4; ISSN QAMAA
• Country of Publication: United States
• Language: English

Related Subjects

640440* -- Fluid Physics-- Electrohydrodynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DIELECTRIC MATERIALS
DIFFERENTIAL EQUATIONS
DISTURBANCES
ELECTRIC FIELDS
ELECTROHYDRODYNAMICS
EQUATIONS
FLUID FLOW
FLUID MECHANICS
HELMHOLTZ INSTABILITY
HYDRODYNAMICS
INSTABILITY
MATERIALS
MECHANICS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
QUASI PARTICLES
SCHROEDINGER EQUATION
SOLITONS
WAVE EQUATIONS