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首页> 外文期刊>International Journal of Heat and Fluid Flow >LBM simulation of fluid flow in a viscous micropump with non-circular rotors and RSM approach for multiple response optimization
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LBM simulation of fluid flow in a viscous micropump with non-circular rotors and RSM approach for multiple response optimization

机译：具有非圆形转子的粘性微型泵中LBM的流体流动模拟和RSM方法，用于多重响应优化

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A numerical simulation is performed to analyze the performance of viscous micropumps with elliptic and rectangular rotors with variable aspect ratios by lattice Boltzmann method (LBM). The influences of three effective geometrical parameters of viscous micropump namely rotor aspect ratio (AR), microchannel height (S) and rotor eccentricity (epsilon) in the ranges of 0.2-1, 1.5-3.5 and 0.1-0.9, respectively, are investigated on the cross sectional instantaneous dimensionless averaged velocity ((U) over bar) and the instantaneous area averaged total entropy generation ((S) over bar (F)) as well as their time-averaged values (U-ave and S-F, (ave)). A five-level central composite design (CCD), which is one of the most important response surface method (RSM) schemes, is adopted for the analysis of main and interaction effects as well as the optimization of these parameters. Results show that the U-ave increases with the increase of AR and epsilon in all aspect ratios while decreases as S increases at high aspect ratios for both rotors. However, this trend is reversed at low aspect ratios. Furthermore, results indicate that S-F, (ave) increases with the increase of all three geometrical parameters for both rotors. Finally, a numerical optimization is employed to simultaneously optimize both responses of U-ave and S-F, (ave) for elliptic and rectangular rotors. Overall desirability values of 0.701 and 0.758 are obtained for elliptic and rectangular rotors, respectively. For elliptic rotor, the obtained optimal values of geometrical parameters are 0.884, 1.5 and 0.744, respectively, for aspect ratio, microchannel height, and eccentricity, while the respective values for rectangular rotor are 1, 1.5 and 0.694.
机译：进行了数值模拟，以通过格子Boltzmann方法（LBM）分析具有可变长宽比的椭圆形和矩形转子的粘性微型泵的性能。研究了粘性微型泵的三个有效几何参数，分别是转子长宽比（AR），微通道高度（S）和转子偏心率（ε）分别在0.2-1、1.5-3.5和0.1-0.9范围内的影响。截面瞬时无量纲平均速度（bar上的（U））和瞬时面积平均总熵产生（bar（F）上的瞬时平均熵）以及它们的时间平均值（U-ave和SF，（ave） ）。采用五级中央复合设计（CCD）作为最重要的响应面方法（RSM）方案之一，以分析主效应和相互作用效应以及优化这些参数。结果表明，对于两个转子，U-ave在所有纵横比中均随AR和ε的增加而增加，而随着S在高纵横比中的增加而减小。但是，这种趋势在低长宽比时会逆转。此外，结果表明，S-F（ave）随两个转子的所有三个几何参数的增加而增加。最后，采用数值优化来同时优化椭圆形和矩形转子的U-ave和S-F（ave）响应。椭圆形转子和矩形转子的总理想值分别为0.701和0.758。对于椭圆形转子，对于长宽比，微通道高度和偏心率，几何参数的最佳值分别为0.884、1.5和0.744，而矩形转子的最佳值分别为1、1.5和0.694。

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