A methodology for adding thixotropy to Oldroyd-8 family of viscoelastic models for characterization of human blood
A methodology for adding thixotropy to Oldroyd-8 family of viscoelastic models for characterization of human blood
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DOI：
10.1063/5.0022501
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发表时间：
2020-09-01
影响因子：
4.6
通讯作者：
Tussing, Joseph
中科院分区：
文献类型：
--
作者：
Armstrong, Matthew;Tussing, Joseph
最近对人类血液的流变行为进行建模的工作表明，血液具有复杂材料的所有标志性特征，包括剪切稀化、粘弹性行为、屈服应力和触变性。在仅对稳态血液数据建模数十年之后，已经开发了稳态模型，例如Casson、Carreau-Yasuda和Herschel-Bulkley模型。血液建模的发展和演变，瞬态流动条件，现在有新的兴趣。使用最近收集的人类血液流变学数据从应变控制流变仪，我们展示和比较一个新的建模工作，使用Oldroyd-8粘弹性框架作为基础。这一基础是加强与应用程序的最近出版的触变框架模型的弹性和粘弹性的贡献，从微观结构到三个Oldroyd-8家庭的模型：共转杰弗里斯模型，对流麦克斯韦模型，和Oldroyd 4常数模型。然后将来自微结构的弹性和粘弹性应力贡献与Oldroyd-8系列模型给出的应力的粘弹性主干解线性叠加。这里展示的是一个参数分析，模型比较，并使用预测大振幅振荡剪切和单向大振幅振荡剪切流的能力的新方法的比较。新的模型家族可以解决全应力张量的分量，使其非常适合与未来的构象张量一起使用，以进化，建模和更好地了解人体血液微观结构的影响。此外，现在有一种方法来模拟血液的正常力量。
Recent work modeling the rheological behavior of human blood indicates that blood has all the hallmark features of a complex material, including shear-thinning, viscoelastic behavior, a yield stress, and thixotropy. After decades of modeling only the steady state blood data, steady state models, such as the Casson, Carreau-Yasuda, and Herschel-Bulkley models, have been developed. The advancement and evolution of blood modeling to transient flow conditions now has renewed interest. Using recently collected human blood rheological data from a strain-controlled rheometer, we show and compare a new modeling effort using the Oldroyd-8 viscoelastic framework as a foundation. This foundation is enhanced with the application of a recent thixotropic framework recently published to model elastic and viscoelastic contributions from the microstructure to three Oldroyd-8 families of models: the corotational Jeffreys model, the convected Maxwell model, and the Oldroyd 4-constant model. The elastic and viscoelastic stress contributions from the microstructure are then linearly superimposed with the viscoelastic backbone solution for stress given by the Oldroyd-8 family of models. Demonstrated here is a parametric analysis, model comparison, and a comparison of the new approaches made using the ability to predict large amplitude oscillatory shear and uni-directional large amplitude oscillatory shear flow. The new family of models can solve components of the full stress tensor, making them ideal for use with a future conformation tensor to evolve, model, and better understand the effects of the microstructure of human blood. In addition, there is now a methodology to model the normal forces of blood.