Consistent modeling of nonlinear shear and elongational start-up data of entangled polystyrene solutions

IF 3 3区工程技术 Q2 MECHANICS

Rheologica Acta Pub Date : 2025-06-09 DOI:10.1007/s00397-025-01494-y

Teng Cui, Shuang Liu, Manfred H. Wagner, Qian Huang

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Abstract

Nonlinear shear and elongational start-up data of three entangled PS solutions consisting of the same weight fraction of a linear long-chain polystyrene PS-600 k and three different styrene oligomeric solvents were recently reported by Cui et al. (Rheol Acta 64:97-105, 2025). The solvents are two linear styrene oligomers of different molecular weights as well as a star styrene oligomer. We show that start-up of shear viscosity and apparent normal stress difference as well as start-up of elongational viscosity can consistently be described by the Rotation Zero Stretch (RZS) model (Rheol Acta 63:573, 2024; Phys Fluids 36:093124, 2024), which is based on the tube model and a flow-strength sensitive evolution equation of stretch. In extensional flows, the RZS model reduces to the Enhanced Relaxation of Stretch (ERS) model (J Rheol. 65:1413, 2021). The modeling is based exclusively on the linear-viscoelastic characterization of the solutions and a consistent set of Rouse stretch relaxation times for PS-600 k.

Graphical Abstract

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纠缠聚苯乙烯溶液非线性剪切和伸长启动数据的一致性建模

Cui等人最近报道了由相同质量分数的线性长链聚苯乙烯PS-600 k和三种不同的苯乙烯低聚溶剂组成的三种纠缠PS溶液的非线性剪切和伸长启动数据（Rheol学报64:97- 105,2025）。溶剂为两种不同分子量的线性苯乙烯低聚物和一种星形苯乙烯低聚物。研究表明，基于管模型和流动强度敏感的拉伸演化方程的旋转零拉伸（RZS）模型（Rheol学报63:573,2024；物理流体36:093124,2024）可以一致地描述剪切粘度和表观法向应力差的启动以及伸长粘度的启动。在拉伸流中，RZS模型可简化为增强拉伸松弛（ERS）模型（J Rheol. 65:1413, 2021）。建模完全基于解的线性粘弹性特性和ps - 600k的一致的劳斯拉伸松弛时间集

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来源期刊

Rheologica Acta 物理-力学

CiteScore

4.60

自引率

8.70%

发文量

审稿时长

3 months

期刊介绍： "Rheologica Acta is the official journal of The European Society of Rheology. The aim of the journal is to advance the science of rheology, by publishing high quality peer reviewed articles, invited reviews and peer reviewed short communications. The Scope of Rheologica Acta includes: - Advances in rheometrical and rheo-physical techniques, rheo-optics, microrheology - Rheology of soft matter systems, including polymer melts and solutions, colloidal dispersions, cement, ceramics, glasses, gels, emulsions, surfactant systems, liquid crystals, biomaterials and food. - Rheology of Solids, chemo-rheology - Electro and magnetorheology - Theory of rheology - Non-Newtonian fluid mechanics, complex fluids in microfluidic devices and flow instabilities - Interfacial rheology Rheologica Acta aims to publish papers which represent a substantial advance in the field, mere data reports or incremental work will not be considered. Priority will be given to papers that are methodological in nature and are beneficial to a wide range of material classes. It should also be noted that the list of topics given above is meant to be representative, not exhaustive. The editors welcome feedback on the journal and suggestions for reviews and comments."