论材料系数随温度变化的粘弹性率型流体的热力学
流体动力学
2017-07-12 v3
摘要
我们推导出一类热力学自洽的 Maxwell/Oldroyd-B 型粘弹性流体模型变体。特别地，我们研究了允许考虑温度依赖材料系数的模型。这自然要求构建一个温度演化方程，以伴随力学量的演化方程。我们显式地构建了温度演化方程，并证明其与热力学定律及力学量演化方程自洽。该温度演化方程包含了大多数处理此类流体的工作中被忽略甚至未曾考虑的项。通过求解简单的初/边值问题，我们记录了温度演化方程中这些附加项对流动动力学的影响。
引用
@article{arxiv.1612.01724,
title = {On thermodynamics of viscoelastic rate type fluids with temperature dependent material coefficients},
author = {Jaroslav Hron and Vojtěch Miloš and Vít Průša and Ondřej Souček and Karel Tůma},
journal= {arXiv preprint arXiv:1612.01724},
year = {2017}
}
备注
Introduction, Page 2 and Page 3: We have been referred to relevant papers by I. J. Rao, K. Kannan and K. R. Rajagopal, who have considered viscoelastic rate type fluids with temperature dependent material coefficients. The comment on the relation between their work and our work has been added to the introduction