Abstract The common design methods for mixers agitating non-Newtonian fluid flow are not suitable for developing a completely new geometrical shape. These design methods were originally intended only to scale an existing mixer with several correlation methods. For this, the dimensionless power characteristics of the mixer is first determined for agitating Newtonian fluid flow. Subsequently, for the desired operating conditions, the apparent viscosity of the non-Newtonian fluid is derived using the mentioned correlation principles. After setting the desired geometrical parameters, it is possible to calculate the apparent Reynolds number. By comparing the apparent Reynolds number with the dimensionless power characteristics, the estimated power consumption and, therefore, the engine to drive the mixer can be determined. This procedure comes with the assumption of a valid correlation between Newtonian and non-Newtonian fluid flow, which is not physical. Furthermore, the question of how to develop the geometric shape of a mixer for a considered operation point is still open. In this paper, a new method is introduced to develop the shape of a propeller mixer for arbitrary operating conditions in pseudo-plastic fluids by analytical methods. The method is based on the consequently implemented blade element momentum theory.

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一种搅拌非牛顿流体流动的螺旋桨混合器的新设计方法

摘要 搅拌非牛顿流体流动的混合器的常用设计方法不适合开发全新的几何形状。这些设计方法最初仅用于使用多种相关方法缩放现有混频器。为此，首先确定混合器的无量纲功率特性以搅拌牛顿流体流。随后，对于所需的操作条件，非牛顿流体的表观粘度是使用上述相关原理推导出来的。设置所需的几何参数后，可以计算表观雷诺数。通过将表观雷诺数与无量纲功率特性进行比较，可以确定估计的功耗，因此可以确定驱动混合器的发动机。该过程假设牛顿流体和非牛顿流体流动之间存在有效的相关性，这不是物理的。此外，如何为所考虑的操作点开发混合器的几何形状的问题仍然悬而未决。在本文中，介绍了一种新方法，通过分析方法开发适用于假塑性流体中任意操作条件的螺旋桨混合器的形状。该方法基于随后实施的叶片元件动量理论。引入了一种新方法，通过分析方法为假塑性流体中的任意操作条件开发螺旋桨混合器的形状。该方法基于随后实施的叶片元件动量理论。引入了一种新方法，通过分析方法为假塑性流体中的任意操作条件开发螺旋桨混合器的形状。该方法基于随后实施的叶片元件动量理论。