Tensorial formulations for improved thixotropic viscoelastic modeling of human blood
Tensorial formulations for improved thixotropic viscoelastic modeling of human blood
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DOI：
10.1122/8.0000346
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发表时间：
2022-03-01
影响因子：
3.3
通讯作者：
Beris, Antony
中科院分区：
文献类型：
--
作者：
Armstrong, Matthew;Pincot, Andre;Beris, Antony
最近对人类血液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特征，包括剪切稀化、粘弹性行为、屈服应力和触变性。人们对用触变弹粘塑性流变模型模拟人体血液重新产生了兴趣。以前的工作[阿姆斯特朗和塔辛，物理学。 Fluids 32, 094111 (2020)] 导致了增强型血液触变粘弹性模型（ethixo-mHAWB；此处在稍作修改后称为 ETV）的开发，该模型将粘弹性纳入由轮状聚集体产生的应力的触变模型中，此外还使用非线性粘弹性模型描述了单个红细胞在流体作用下变形所产生的应力。流动。该模型在拟合人体血液稳态和来自应变控制流变仪的瞬态流变数据方面表现出了卓越的性能 [Horner 等人，J. Rheol。 62、577-591（2018）； 63, 799-813 (2019)] 与其他替代模型相比。在目前的工作中，我们首先开发了 ETV 模型的另一种变体，即增强结构应力触变粘弹性 (ESSTV) 模型，以及根据最近开发的弹粘塑性模型进行的修改 [Varchanis 等人，J. Rheol。 63, 609-639 (2019)]。我们为上述两个模型开发了罗洛应力的完整张应力公式，从而产生了 t-ETV 和 t-ESSTV 模型。我们使用剪切速率数据中的稳态、逐步上升和逐步下降来独立拟合所有前述模型的参数。我们将预测与在小、大和单向大幅振荡剪切条件下获得的实验数据进行比较。我们发现全张量应力公式 t-ETV 和 t-ESSTV 显着提高了早期 ETV 模型的预测能力。(c) 2022 年流变学会。
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, yield stress, and thixotropy. There is renewed interest in the modeling of human blood with thixo-elasto-visco-plastic rheological models. Previous work [Armstrong and Tussing, Phys. Fluids 32, 094111 (2020)] has led to the development of the enhanced thixotropic viscoelastic model for blood (ethixo-mHAWB; called here, after a minor modification, ETV) that incorporates viscoelasticity to a thixotropic model for the stress contributed by the rouleaux aggregates, in addition to describing using a nonlinear viscoelastic model the stress contributed by the individual red blood cells deforming under the action of the flow. This model has shown superior performance in fitting human blood steady state and transient rheological data from a strain-controlled rheometer [Horner et al., J. Rheol. 62, 577-591 (2018); 63, 799-813 (2019)] as compared to other alternate models. In the present work, we first develop another variant of the ETV model, the enhanced structural stress thixotropic-viscoelastic (ESSTV) model, and the modification patterned following an elastoviscoplastic model developed recently [Varchanis et al., J. Rheol. 63, 609-639 (2019)]. We develop full tensorial stress formulations of the rouleaux stresses for both the above-mentioned models, resulting in the t-ETV and t-ESSTV models. We use steady state and step-ups, and step-downs in shear rate data to independently fit the parameters of all before-mentioned models. We compare predictions against experimental data obtained on small, large, and unidirectional large amplitude oscillatory shear conditions. We find that the full tensor stress formulations t-ETV and t-ESSTV significantly improved the predictive capability of the earlier ETV model.& nbsp;(c) 2022 The Society of Rheology.