A static continuous flow mixer, with or without reaction, is provided with basic cells, which are individually provided with an individualized chamber (1). The basic cells are also provided with at least two connecting channels (2), at least two of them being oblique relatively to the resulting direction (x) of the flow in the mixer, and with at least two additional apertures (0) for connection with the exterior. The cells interconnect successively in the space, forming a network. The mixer promotes convective processes. The dimensions (Dj, li, di, φ), the geometry of the chambers (spherical or cylindrical) and of the channels (cylindrical or prismatic) may vary, as well as their quantity.