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首页> 外文期刊>Advances in Mechanical Engineering >Characterizing the rheological behaviors of non-Newtonian fluid via a viscoelastic component: Fractal dashpot:
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Characterizing the rheological behaviors of non-Newtonian fluid via a viscoelastic component: Fractal dashpot:

机译：通过粘弹性成分表征非牛顿流体的流变行为：分形阻尼器：

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Based on the fractal derivative, a robust viscoelastic element—fractal dashpot—is proposed to characterize the rheological behaviors of non-Newtonian fluid. The mechanical responses of the fractal dashpot are investigated with different strains and stresses, which are compared with the existing dashpot models, including the Newton dashpot and the Abel dashpot. The results show that as the derivative order is between 0 and 1, the viscoelastic behavior of the fractal dashpot is similar to that of the Abel dashpot. However, the fractal dashpot has a high computational efficiency compared with the Abel dashpot. On the other hand, the fractal dashpot can be reduced to the Newton dashpot when the derivative order equals to 1. As an extension of fractal dashpot, a fractal Bingham model is also introduced in this study. The accuracy of proposed fractal models is verified by the relevant rheological experimental data. Moreover, the obtained parameters can not only provide quantitative insights into both the viscoe...
机译：基于分形导数，提出了一种鲁棒的粘弹性单元（分形阻尼器）来表征非牛顿流体的流变行为。用不同的应变和应力研究分形阻尼器的机械响应，并与现有的阻尼器模型（包括牛顿阻尼器和Abel阻尼器）进行比较。结果表明，当导数阶数介于0和1之间时，分形阻尼器的粘弹性行为与Abel阻尼器的相似。但是，分形阻尼器与Abel阻尼器相比具有较高的计算效率。另一方面，当导数阶数等于1时，分形阻尼器可以简化为牛顿阻尼器。作为分形阻尼器的扩展，本研究还引入了分形宾汉模型。相关流变实验数据验证了提出的分形模型的准确性。此外，获得的参数不仅可以提供对两种粘度的定量分析。

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