This study introduces a three-dimensional numerical analysis of the mixing yield stress fluid inside stirred vessels. The Bingham–Papanastasiou model predicts the yield stress behavior of the working fluid. The implications of a new anchor impeller design are investigated; it involves certain modifications to a typical anchor impeller’s blade. Different curved shapes replace the straight blade of a classical anchor. The flow pattern and energy consumed inside the stirred system for various geometrical configurations, Reynolds numbers (0.1, 1, 10, and 100), and Bingham numbers (1, 10, 100, and 500) have been investigated. According to the findings, introducing this new geometrical configuration gives a significant acceleration of flow pattern and extension of the well-mixed zone, as well as decreased power consumption ( Np {\rm{Np}} ). Three configurations were introduced to the mixing system: Case 1 is a standard anchor impeller, and Cases 2 and 3 are curved anchor impellers with two shapes different. Case 3 (helical design of blade) has been found to be the less power consumption case by five times, i.e., for Case 1 and Case 2, Np = 5 {\rm{Np}}=5 , whereas for Case 3, Np = 1 {\rm{Np}}=1 . Based on the results, it is evident that the configuration (Case 3) demonstrates a superior geometric design in enhancing mixing characteristics compared to the other configurations.

中文翻译：

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弯曲锚叶轮对搅拌槽中屈服应力流体（Bingham-Papanastasiou 模型）的功耗和水动力参数的影响

本研究介绍了搅拌容器内混合屈服应力流体的三维数值分析。Bingham-Papanastasiou 模型预测工作流体的屈服应力行为。研究了新的锚式叶轮设计的影响；它涉及对典型锚式叶轮叶片的某些修改。不同的弯曲形状取代了经典锚的直叶片。研究了各种几何结构、雷诺数（0.1、1、10 和 100）以及宾汉数（1、10、100 和 500）的搅拌系统内部的流动模式和能量消耗。根据研究结果，引入这种新的几何配置可以显着加速流动模式并扩大混合区域，并降低功耗（ 氮磷 {\rm{Np}} ）。混合系统引入了三种配置：案例1是标准锚式叶轮，案例2和案例3是两种不同形状的弯曲锚式叶轮。案例 3（刀片的螺旋设计）被发现比案例 3 的功耗低五倍，IE，对于情况 1 和情况 2， 氮磷 = 5 {\rm{Np}}=5 ，而对于情况 3， 氮磷 = 1 {\rm{Np}}=1 。根据结果​​，很明显，与其他配置相比，该配置（案例 3）在增强混合特性方面表现出卓越的几何设计。