Nonlinear dynamics of a liquid film flow over a solid substrate in the presence of external shear stress and electric field

Abstract Using approximation techniques, long-wave length framework and boundary-layer, the effects of electrostatic force induced shear stress on flow behavior down an inclined solid substrate are investigated. In general case, considered model accounts in presence inertia regime streamwise viscous diffusion with influence normal electric field imposed stress. Galerkin weighted residual, two coupled evolution equations for rate film thickness extracted. appropriate limit cases, obtained by previous authors recovered. The primary instability has been analyzed using Whitham wave hierarchy framework. nonlinear regime, solitary waves arose surface liquid due to throughout three-dimensional dynamical systems. Some bifurcation points reported. both extremely electrogravity regimes, Benney-like equation is extracted a new form. By excluding contribution external dispersion parameter, interesting results weakly inertialess three systems discussed within Kuramoto–Sivashinsky type equation.