Electrohydrodynamic Kelvin-Helmholtz Instability of Two Rotating Dielectric Fluids

Mohamed Fahmy El-Sayed
1998 Zeitschrift fur Naturforschung A-A Journal of Physical Sciences  
AbstractA linear stability analysis of a novel electrohydrodynamic Kelvin-Helmholtz system consisting of the superposition of two uniformly rotating dielectric media is presented. The characteristic equation for such an arrangement is derived, which in turn yields a stability criterion for velocity differences of disturbances at a given rotation frequency. The conditions of stability for long and short wave perturbations are obtained, and their dependence on rotation, surface tension and
more » ... electric field is discussed. Limiting cases for vanishing fluid velocities, rotation frequency, and applied electric field are also discussed. Under suitable limits, results of previous works are recovered. A detailed analysis for tangential and normal applied electric fields, in the presence and absence of surface charges, is carried out.
doi:10.1515/zna-1998-1-205 fatcat:hihpcuknmjdzhn2e5afwpsbhyy