  While several articles have been written on Electrohydrodynamics (EHD) flows
or flows with constant vorticity separately, little is known about the extent
to which the combined effects of EHD and constant vorticity affect the flow.
This study aims to fill this gap by investigating how a horizontal electric
field and constant vorticity jointly influence the free surface and the
emergence of stagnation points. Using the Euler equations framework, we employ
conformal mapping and pseudo-spectral numerical methods. Our findings reveal
that increasing the electric field intensity eliminates stagnation points and
smoothen the wave profile. This implies that a horizontal electric field acts
as a mechanism for the elimination of stagnation points within the fluid body.
