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Extensional Rheology and Flow Instabilities in Elastic Polymer Solutions

机译：弹性聚合物溶液中的拉伸流变性和流动不稳定性

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摘要

Recent advances in the quantitative measurement and modelling of the rheology of elastic polymer solutions in both shear and extension are reviewed and the connection with the onset of purely elastic flow instabilities in torsional shear flows, pure extensional flows and more complex "mixed" two-dimensional flows is discussed. A dimensionless scaling criterion for the onset of elastic instabilities is introduced which can help understand the sensitivity of the numerically computed and experimentally measured stability boundaries to changes in both the flow geometry and the rheology of the test fluid. Finally, a simple heuristic argument is presented for interpreting the variation in the stability loci predicted by typical nonlinear differential viscoelastic constitutive models and for inter-relating the rheological material functions in steady shear and steady extensional flows at high Deborah numbers.
机译：综述了在剪切和拉伸过程中弹性聚合物溶液流变学的定量测量和建模方面的最新进展，并探讨了扭转剪切流，纯拉伸流和更复杂的“混合”二维流中纯弹性流不稳定性的开始。流程进行了讨论。引入了用于弹性不稳定性发生的无量纲缩放标准，该标准可以帮助理解数值计算和实验测量的稳定性边界对测试流体的流动几何形状和流变性的敏感性。最后，提出了一种简单的启发式论据，用于解释由典型的非线性微分粘弹性本构模型预测的稳定性轨迹的变化，以及用于相互关联高Deborah数下的稳态剪切流和稳态扩展流中的流变材料功能。

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