“…Moreover, it can be also seen from Figure 5a that in surfactant solution, the drag reduction rates of microgrooves are much larger than that in water. Moreover, it can also be found from the results of Cases 5-7 (s 1 514.1, 16.9, 22.5) that the drag reduction rates of surfactant solution in these grooved channels are larger than that in the smooth channel, indicating that the drag reduction performance of surfactant solution can be further enhanced by microgrooves, which verifies the experimental discoveries of Huang et al 27,28 and the speculation about the complementarity between the drag reduction mechanisms of surfactants and microgrooves. To study more intuitively the difference between the drag reduction performance of microgroove in water and surfactant solution, Figure 5b portrays the comparison between the drag reduction enhancement performance (DRE listed in Table 2) of surfactant solution in the grooved channel and the drag reduction performance of microgrooves in water (DR obtained by Huang et al 30 ) It is also seen from Figure 5b that in water, the optimal drag-reducing size of microgroove is s 1 516.9, but in the surfactant solution, its optimal drag-reducing size is s 1 522.5, meaning that the real optimal drag-reducing size of microgroove is enlarged in the surfactant solution.…”