基于昂萨格原理的双流体模型的推导
Derivation of Two-Fluid Model Based on Onsager Principle.
作者信息
Zhou Jiajia, Doi Masao
机构信息
South China Advanced Institute for Soft Matter Science and Technology, School of Emergent Soft Matter, South China University of Technology, Guangzhou 510640, China.
Guangdong Provincial Key Laboratory of Functional and Intelligent Hybrid Materials and Devices, South China University of Technology, Guangzhou 510640, China.
出版信息
Entropy (Basel). 2022 May 17;24(5):716. doi: 10.3390/e24050716.
Using the Onsager variational principle, we study the dynamic coupling between the stress and the composition in a polymer solution. In the original derivation of the two-fluid model of Doi and Onuki the polymer stress was introduced ; therefore, a constitutive equation is required to close the equations. Based on our previous study of viscoelastic fluids with homogeneous composition, we start with a dumbbell model for the polymer, and derive all dynamic equations using the Onsager variational principle.
利用昂萨格变分原理，我们研究了聚合物溶液中应力与成分之间的动态耦合。在Doi和Onuki的双流体模型的原始推导中引入了聚合物应力；因此，需要一个本构方程来使方程组封闭。基于我们之前对成分均匀的粘弹性流体的研究，我们从聚合物的哑铃模型出发，利用昂萨格变分原理推导所有的动力学方程。
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