A robust model of dilute polyelectrolyte solutions is constructed based on kinetic theory arguments. The polyelectrolyte molecules are modelled by finitely elongated non-linear elastic dumbbells with beads carrying identical effective charges. The electric interaction between the beads is described in a simplified way through an electrostatic Coulomb force. With two pre-averaging approximations, the constitutive equations of the fluid model are formulated in closed form; and its rheological properties in steady and transient shear and elongational flows are investigated by analytical and simple numerical means. It is found that despite its simplicity, the model shows an excellent qualitative agreement with the results obtained by advanced numerical simulations of polyelectrolyte solutions and predicts most of the experimentally observed features of such fluids.

中文翻译：

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带电有限延展哑铃模型：解释稀聚电解质溶液的流变学

基于动力学理论论证构建了一个稳健的稀聚电解质溶液模型。聚电解质分子由有限伸长的非线性弹性哑铃模拟，珠子带有相同的有效电荷。通过静电库仑力以简化的方式描述珠子之间的电相互作用。通过两个预平均近似，流体模型的本构方程以封闭形式表示；并通过解析和简单的数值方法研究了其在稳态和瞬态剪切流和拉伸流中的流变特性。人们发现，尽管它很简单，