This study aims to investigate the roles of pertinent parameters on the mixed convection of complex liquids in annular devices. The investigated area consists of two circular cylinders with fixed and heat walls. Both cylinders are enclosed within a circular room with a cold wall and rotate regularly. The zone between the inner obstacles and the outer space contains complex power-law fluids. This investigation is numerically achieved by How to cite this article: Laidoudi H, Ameur H. Complex fluid flow in annular space under the effects of mixed convection and rotating wall of the outer enclosure.