Synthetic jet is presently a novel technique for active flow control used for lift enhancement, improve boundary layer separation, and drag reduction, convective heat transfer enhancement and mixing enhancements. In this paper numerical simulation of macro-scale synthetic jet is carried out to investigate the effects of dimensionless numbers such as Stroke length (L), Stokes number (S) and Reynolds numbers (ReL) at constant orifice diameter of 5 mm. The computation is carried out by using commercial COMSOL Multiphysics 5.3a software for resolving the basic three dimensional incompressible unsteady Reynolds-averaged Navier-Stokes equations using k-turbulence model coupled with Moving Mesh ALE module to address the oscillating diaphragm movement. The oscillating diaphragm attached to the bottom of cavity is modelled as movable wall boundary in a sinusoidal manner with a peak-to peak displacement is equal to 0.247 mm at constant resonant frequency of 10 Hz. While the dimensionless Stroke length (L) ranges from 2 to 6, Stokes number S=7.2 to 22.9 and the Reynolds number establish on Stroke length ReL=11 to 1080 at distinct orifice diameters. Grid independence study has been invoked to confirm the authentication of extracted computational results. The radial velocity profiles at the orifice exit obtained in CFD simulations are compared with existing experimental data. A reasonable agreement between the modelling and experiment has been observed in specific domains of the flow field. The result obtained in the present study provides the basic design code for synthetic jet flow parameters for optimum output.