In the present paper, a double multiple-relaxation-time lattice Boltzmann simulation and response surface optimization are performed to optimize the performance of a novel active micropump-mixer at high-Peclet number flows. The micropump-mixer is comprised of rotationally oscillating rectangular stirrer and two identical square rotors. Effects of three important non-dimensional parameters of the stirrer, including its diameter ${(D}_S)$, maximum velocity $(U_S)$, and amplitude $(K)$ are investigated on the mean mixing efficiency $({\epsilon }_{out})$, time-averaged of the instantaneous dimensionless averaged velocity $(U_{ave})$, mixing energy cost $(mec)$ and pumping energy cost $(pec)$. All calculations are carried out for the non-dimensional $U_S$ and $K$ in the range of $0.1-1$, and for $D_S$ in the range of 0.5−0.9, at fixed Reynolds and Peclet numbers of $\text{R}\text{e}=1$ and $\text{P}\text{e}=10000$. Results indicated that ${\epsilon }_{out}$ increases with $D_S$, and especially with $K$, while it displays a non-monotonic behavior with $U_S$. Furthermore, $U_{ave}$ and $mec$ decrease with increasing $D_S$ and $K$. However, $U_{ave}$ is not influenced by $U_S$ variations, but $mec$ shows a decrease-increase trend with increasing $U_S$. The $pec$ increases with increasing of all three parameters. Finally, optimization results indicated that non-dimensional values of 0.5, 0.702 and 1 respectively for $D_s$, $U_s$ and $K$ are optimum values for multiple-response optimization.

在本文中，进行了两次多重弛豫时间晶格玻尔兹曼模拟和响应面优化，以优化新型主动式微型泵混合器在高佩克莱特流量下的性能。微型泵混合器由旋转振荡的矩形搅拌器和两个相同的方形转子组成。搅拌器的三个重要的无量纲参数的影响，包括其直径${（d}_{\mathrm{小号}}）$，最大速度 $（{ü}_{\mathrm{小号}}）$和幅度 $（ķ）$ 研究平均混合效率 $（{\epsilon }_{ØüŤ}）$，瞬时无量纲平均速度的时间平均 $（{ü}_{\mathrm{一种}vË}）$，混合能源成本 $（米ËC）$ 和抽水的能源成本 $（pËC）$。所有计算均针对无量纲进行${ü}_{\mathrm{小号}}$ 和 $ķ$ 在...的范围内 $0.1--\mathrm{1个}$和 $d_{\mathrm{小号}}$ 在固定的雷诺数和Peclet数为0.5-0.9的范围内 $\text{[R}\text{Ë}=\mathrm{1个}$ 和 $\text{P}\text{Ë}=10000$。结果表明${\epsilon }_{ØüŤ}$ 随着增加 $d_{\mathrm{小号}}$，尤其是 $ķ$，而显示的是非单调行为 ${ü}_{\mathrm{小号}}$。此外，${ü}_{\mathrm{一种}vË}$ 和 $米ËC$ 随着增加而减少 $d_{\mathrm{小号}}$ 和 $ķ$。然而，${ü}_{\mathrm{一种}vË}$ 不受...的影响 ${ü}_{\mathrm{小号}}$ 变化，但是 $米ËC$ 呈现出随增加而减少的趋势 ${ü}_{\mathrm{小号}}$。的$pËC$随着所有三个参数的增加而增加。最后，优化结果表明，无量纲值分别为0.5、0.702和1$d_s$， ${ü}_s$ 和 $ķ$ 是多响应优化的最佳值。