One of the ways, to control of the drag forces applying to the circular cylinder in the air flow, is control of the generated boundary layer around the cylinder, and one of the new and effective ways for control of the boundary layer, is using high voltage electrostatic field in fluid flow. In these conditions, because of the coupled relations between electric field and momentum equations, the problem is complicated and discussed as electro-hydro-dynamic or EHD.
For this purpose, the equation of conservation and momentum for flow field and conservation for electric density and Poisson's for electric field are solved with numerical and finite element method.
In this research we used two wire and two plate electrode for generation electric field. By use of the results, we observed that the effect of electric field on fluid flow field is widely dependent on geometry of the electrodes and the intensity of the electric field. But in fact, by applying these forces, particles momentum and the velocity of them is increased. It was shown that increasing in Reynolds number, decrease these effects.
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