In this work, we carried out numerical modeling of the large deformation of a shear thinning droplet suspended in a Newtonian matrix using the constrained volume model. The adopted approach was to consider making incremental corrections to the evolution of the droplet anisotropy equation in order to capture the experimental behavior of a shear thinning droplet when subjected to deformation due to imposed flow. The constrained volume model was modified by using different models to describe the viscosity of droplet phase: the Bautista et al. model, the Carreau-Yasuda model and the Power-law model. We found that by combining the constrained volume model with a simple shear thinning viscosity model we were able to describe the available experimental data for large deformation of a shear thinning droplet suspended in a Newtonian matrix. Moreover, we developed an equation approximating flow strength during droplet retraction, and we found that the model can accurately describe the experimental data of the retraction of a shear thinning droplet.

中文翻译：

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牛顿流体中悬浮的剪切稀化液滴的变形模型

在这项工作中，我们使用约束体积模型对悬浮在牛顿矩阵中的剪切稀化液滴的大变形进行了数值模拟。所采用的方法是考虑对液滴各向异性方程的演化进行增量校正，以捕获剪切稀疏液滴在由于强流而变形时的实验行为。约束体积模型通过使用不同的模型来描述液滴相的粘度进行了修改：Bautista等人。模型，Carreau-Yasuda模型和幂律模型。我们发现通过将约束体积模型与简单的剪切稀化粘度模型相结合，我们能够描述悬浮在牛顿矩阵中的剪切稀化液滴的大变形的可用实验数据。而且，