A GENERIC formalism for Korteweg-type fluids: II. Higher-order models and relation to microforces
A GENERIC formalism for Korteweg-type fluids: II. Higher-order models and relation to microforces
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Korteweg 型流体的通用形式：II。
DOI：
10.1088/1873-7005/ab7ff6
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发表时间：
2020
影响因子：
1.5
通讯作者：
Suzuki Yukihito
中科院分区：
文献类型：
--
作者：
Kazuo Takemura;Yoshinori Kametaka and Atsushi Nagai;亀高惟倫，渡辺宏太郎，永井 敦，武村一雄，山岸弘幸;Yukihito Suzuki;Suzuki Yukihito;Suzuki Yukihito
在本文中，二阶模型Korteweg型流体的通用形式主义，其标准的应用Korteweg型流体的详细研究在本系列论文的第一部分。高阶模型在考虑内能的本构关系中包含了密度的二阶梯度，得到的Korteweg应力覆盖了Korteweg提出的原模型。这与Dunn和Serrin推导的模型相反，后者缺少密度的二阶梯度项。高阶模型在物理上是一致的，并且包括间隙工作，如Dunn和Serrin的模型。通用形式主义提供了一个相当简单的推导高阶模型Korteweg型流体。另一种可能的配方的基础上引入的Gurtin的微力的概念也提出和讨论有关的通用形式主义。
In this paper, a second order model for Korteweg-type fluids is derived within the GENERIC formalism, whose standard application to Korteweg-type fluids is studied in detail in Part I of this series of papers. The higher-order model contains the second-order gradient of the density in the constitutive relation concerning internal energy, and the resulting Korteweg stress covers the original model proposed by Korteweg. This is in contrast to the model derived by Dunn and Serrin, which lacks the term of the second-order gradient of density. The higher-order model is thermodynamically consistent and includes interstitial working, as in Dunn and Serrin's model. The GENERIC formalism provides a fairly simple derivation of higher-order models for Korteweg-type fluids. Another possible formulation based on the concept of microforces introduced by Gurtin is also presented and discussed in relation to the GENERIC formalism.