In this article, a numerical study was conducted to analyze the effect of electro-convection and electro-thermo-convection in a solar chimney geometry subjected to the simultaneous action of an electric field and a thermal gradient (in the case of electro-thermo-convection). The full set of equations is solved using the finite element software COMSOL Multiphysics. The effects of thermal and electric Rayleigh numbers on charge density distribution, fluid flow and temperature distribution are analyzed. Also the impact of different chimney collector widths is studied in order to determine the optimum width allowing achieving the maximum fluid velocity. It was shown that using a smaller chimney collector width is more convenient in order to increase the fluid flow velocity. In addition, an evaluation of the heat transfer enhancement was made by observing the evolution of heat flow at the exit of the chimney tower as a function of both, the electric and thermal Rayleigh numbers. It was found that the heat transfer enhancement reaches more than 90 % when thermal Rayleigh rises from 5000 to 20000. Finally, the effect of Prandtl number was investigated.