The injection of fluids loaded with a precise number of particles, polymers, and other solutes is common in many areas of chemical engineering. By definition, injection of these fluids is meant to occur over the shortest possible duration. This raises the question that is answered in this note: At what concentration should a fluid be loaded in order to inject that fluid fastest? A similar question has been addressed for flows of Newtonian fluids in biophysical and physiological studies. We generalize that analysis. We show for Newtonian fluids containing a single suspended component that the optimal loading is determined from a common tangent construction for the viscosity as a function of concentration. We extend this formulation to describe optimal injection of a multicomponent Newtonian fluid. Additionally, we study the injection problem for a simple, model non‐Newtonian fluid carrying a single suspended component. Finally, we discuss applications for optimally loaded injections.

中文翻译：

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最佳注射量

在化学工程的许多领域中，通常都会注入装有精确数量的颗粒，聚合物和其他溶质的流体。根据定义，这些流体的注入应在尽可能短的时间内进行。这就引出了本说明中要回答的问题：为了以最快的速度注入流体，应在哪种浓度下加载流体？在生物物理和生理研究中，牛顿流体的流动也解决了类似的问题。我们对该分析进行概括。我们表明，对于包含单个悬浮成分的牛顿流体，最佳载荷是根据粘度的一个正切构造确定的，该粘度是浓度的函数。我们扩展此公式来描述多组分牛顿流体的最佳注入。此外，我们研究了一种简单的非牛顿流体模型，该流体携带单个悬浮组分，从而研究了注入问题。最后，我们讨论了最佳加载进样的应用。