Dynamics of an electrified confined planar jet in a zero gravity environment

The present work deals with temporal electro-aerodynamics instability properties of an inviscid confined planar jet in a zero gravity environment and the existence of electric field. The considered system is composed of a horizontal liquid sheet surrounded by two identical moving layers of fluid. The electric field acts uniformly normal to the interfaces. The governing equations with the boundary conditions are solved for fluid dynamics and electric fields. The dispersion relation and the integrated solution for the model are obtained for both varicose and sinuous modes. The influence of different parameters governing the flow on instability behavior of the system such as the confinement, basic velocity ratio, and electric voltage is discussed in detail. We conclude that increasing the thickness of the outer fluids for small range of unstable wave numbers decreases the disturbance growth rate and increases the number of saddle points. In addition, when the basic velocity ratio is less than one the electric field has a stabilizing effects, but when it exceeds one it has a destabilizing effect.