Thermodynamics of viscoelastic rate-type fluids with stress diffusion
Thermodynamics of viscoelastic rate-type fluids with stress diffusion
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DOI：
10.1063/1.5018172
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发表时间：
2017-06
期刊：
影响因子：
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通讯作者：
J. M'alek;V'it Prruvsa;Tom'avs Skvrivan;E. Suli
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文献类型：
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作者：
J. M'alek;V'it Prruvsa;Tom'avs Skvrivan;E. Suli
我们提出了具有应力扩散项的粘弹性流体的热力学一致模型。特别地，我们导出了可压缩/不可压缩的Maxwell/Oldroyd-B模型的变体，该模型在演化方程中包含额外应力张量的应力扩散项。结果表明，应力扩散项既可以解释为非局部能量储存机制的结果，也可以解释为非局部熵产生机制的结果，而对应力扩散机制的不同解释导致了不同的温度演化方程。在平衡静止态的非线性稳定性研究中，所导出模型的热力学背景知识的好处被记录下来。导出的模型为研究具有应力扩散的粘弹性速率型流体的完全耦合热力学问题开辟了可能性。
We propose thermodynamically consistent models for viscoelastic fluids with a stress diffusion term. In particular, we derive variants of compressible/incompressible Maxwell/Oldroyd-B models with a stress diffusion term in the evolution equation for the extra stress tensor. It is shown that the stress diffusion term can be interpreted either as a consequence of a nonlocal energy storage mechanism or as a consequence of a nonlocal entropy production mechanism, while different interpretations of the stress diffusion mechanism lead to different evolution equations for the temperature. The benefits of the knowledge of the thermodynamical background of the derived models are documented in the study of nonlinear stability of equilibrium rest states. The derived models open up the possibility to study fully coupled thermomechanical problems involving viscoelastic rate-type fluids with stress diffusion.