This paper theoretically and numerically investigates the hydraulic resistance, mixing efficiency, and comprehensive mixing and hydraulic performance characterized by the outlet mixing efficiency to hydraulic resistance ratio of the symmetric T-shaped rectangular microchannel mixer with uniform channel height. The influences of multi-parameters including width ratio of inlet channel and outlet channel, channel height, and two different inlet conditions of inlet velocity and inlet flowrate on the hydraulic and mixing performance of the micromixer are investigated. This work found that the comprehensive performance first increases and then decreases with the increasing channel width ratio of inlet channel and outlet channel, indicating the existence of an optimal channel width ratio to reach the best comprehensive mixing and hydraulic performance. This result is similar to the conclusion of classical Murray’s law and can be considered as an extension of classical Murray’s law in the field of microscale mixing. The effects of the channel height, channel length ratio and different inlet conditions on the optimal width ratio are analyzed.

中文翻译：

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对称T型长方形微通道混合器液压及混合性能优化分析

本文从理论和数值上研究了具有均匀通道高度的对称T形矩形微通道混合器的水力阻力、混合效率以及以出口混合效率与水阻力比为特征的综合混合和水力性能。研究了入口通道与出口通道的宽度比、通道高度以及入口速度和入口流量两种不同入口条件等多参数对微混合器水力和混合性能的影响。研究发现，随着入口通道和出口通道的通道宽度比的增加，综合性能先增大后减小，表明存在一个最佳的通道宽度比，以达到最佳的综合混合和水力性能。这一结果与经典默里定律的结论相似，可以认为是经典默里定律在微尺度混合领域的延伸。分析了通道高度、通道长度比和不同入口条件对最佳宽度比的影响。