Intervals of Electrohydrodynamic Kelvin–Helmholtz Instability: A Normal Periodic Field Producing Surface Charges

Abstract

The intervals of electrohydrodynamic (EHD) KELVIN-HELMHOLTZ instability influenced by a periodic normal electric field producing surface charges is considered. It is shown that a linear model of the interface is governed by Hill's differential equation. Characteristic values and intervals of stability arB discussed. The special case of Mathieu differential equation type is obtained

Keywords:

• Electrohydrodynamic
• linear perturbation
• intervals of stability
• Kelvin–Helmholtz instability
• periodic field

AMS(MOS)::

• 34
• 76
• 78
• 80