Free surface flows in electrohydrodynamics with a constant vorticity distribution

摘要: In 1895, Korteweg and de Vries (Philos Mag 20:20, 1895) studied an equation describing the motion of waves using assumptions long wavelength small amplitude. Two implicit which they also made were irrotational inviscid fluids. Comparing experiment observation seems to suggest that these two are well justified. This paper removes assumption irrotationality in case electrohydrodynamics with globally constant vorticity fluid. A study effect on wave profiles amplitudes is revealing some unusual features. The velocity potential important variable flow; vertical component takes place this our analysis. allows bypassing Burns condition demonstrates exist even for negative values vorticity. linear weakly nonlinear models derived.