论文标题
基于Onsager原理的两流体模型的推导
Derivation of Two-fluid Model Based on Onsager Principle
论文作者
论文摘要
使用OnSager变分原理,我们研究了聚合物溶液中应力和组成之间的动态耦合。在两流体模型的原始推导中[Doi和Onuki,J。Phys。 II法国{\ bf 2},1631(1992)],引入了聚合物应力\ emph {a priopri},因此需要一个构型方程来关闭方程。基于我们先前对具有均匀成分的粘弹性流体的研究[Phys。流体{\ bf 3},084004(2018)],我们从聚合物的哑铃模型开始,并使用OnSager变分原理得出所有动态方程。
Using Onsager variational principle, we study the dynamic coupling between the stress and the composition in polymer solution. In the original derivation of the two-fluid model [Doi and Onuki, J. Phys. II France {\bf 2}, 1631 (1992)], the polymer stress was introduced \emph{a priopri}, therefore a constitutive equation is required to close the equations. Based on our previous study of viscoelastic fluids with homogeneous composition [Phys. Rev. Fluids {\bf 3}, 084004 (2018)], we start with a dumbbell model for the polymer, and derive all dynamic equations using the Onsager variational principle.