Derivation of Two-fluid Model Based on Onsager Principle
Soft Condensed Matter
2023-03-14 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2205.08058,
title = {Derivation of Two-fluid Model Based on Onsager Principle},
author = {Jiajia Zhou and Masao Doi},
journal= {arXiv preprint arXiv:2205.08058},
year = {2023}
}
Comments
11 pages, submitted to Entropy