The demand for heat exchangers that have high performance is still a major challenge for the industrial field. In this work, a spiral flow of cold air and a 0.5% volume concentration of the nanoaluminum metal heat exchanger were used to analyze the Taylor vortex that forms in the hot nanofluid Al2O3. According to the experimental results, the effectiveness of the heat exchanger at the ratio Cmin/Cmax of 0.08 could be improved over that of the exchanger at the ratio Cmin/Cmax of 0.0. Additionally, at an inner cylinder rotational speed of 80 r.p.m, employing the spiral flow of cold air and nanofluid as a hot fluid to transfer heat increased its efficacy can reach up to 53.8%.