Mean field theory for the rheological properties of moderately concentrated polymer solutions in transversal shear flow

Walter Hess
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Abstract

Moderately concentrated polymer solutions are described as a suspension of interacting harmonic dumbbells. The interaction is treated in a mean field approximation. In the framework of this model the exact conformational distribution function for transversal shear flow is obtained. The shear viscosity and the first normal stress coefficient show the typical non-Newtonian form with a distinct power law behavior after the onset of shear rate dependence.

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中等浓度聚合物溶液在横向剪切流中的流变性能的平均场理论
中等浓度的聚合物溶液被描述为相互作用的谐波哑铃的悬浮液。这种相互作用用平均场近似来处理。在此模型的框架下,得到了横向剪切流的精确构象分布函数。剪切粘度和第一法向应力系数呈现出典型的非牛顿形式,在剪切速率依赖开始后具有明显的幂律行为。
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