Abstract

The stability of Kelvin-Helmholtz flow at the second harmonic resonance between two marginally unstable modes is investigated in the presence of a tangential electric field. We obtain coupled amplitude equations which are examined for the stability characteristics. Numerical integration of the equations reveals that at a certain determinate time, the amplitudes of both the fundamental mode and the second harmonic mode start increasing rapidly, resulting in what is termed as "Explosive Instability". It is demonstrated that for a fluid of given density and dielectric constant, the electric field plays an important role, and the explosive instability sets in much earlier as the electric field increases.