Abstract The air-jet vortex generator has been proposed as a credible alternative to the more conventional vane vortex generator. Some numerical models of the flow in the neighborhood of these devices have been constricted to evaluate their potential benefits. The objective of this paper is to consider the effects of a single minute AJVG in a turbulent boundary layer on a flat plane and study the longitudinal vortex caused by merging two-minute co-rotating vortex in turbulent boundary layer. The flows were assumed fully turbulent and were solved using the finite volume, OpenFoam 5.0 on a structures grid, using SST k-ω turbulence model and standard wall functions. Predicted results were also validated with experimental data. A reasonably good match was served between the predicted and experimental Reynolds stress data. However, in compare of experimental data the longitudinal vortices were not remain along the stream and were disappeared early.