Derivation of Equations for Continuum Mechanics and Thermodynamics of Fluids
Derivation of Equations for Continuum Mechanics and Thermodynamics of Fluids
复制标题
流体连续力学和热力学方程的推导
DOI：
10.1007/978-3-319-10151-4_1-1
复制
发表时间：
2016
期刊：
影响因子：
--
通讯作者：
V. Průša
中科院分区：
文献类型：
--
作者：
J. Málek;V. Průša
本章首先概述了质量、动量、角动量和总能量的平衡方程的推导，然后详细讨论了熵和熵产生的概念。虽然平衡定律对任何连续介质都是普适的，但感兴趣的材料的特定行为必须由一组额外的材料特定方程来描述。例如，将柯西应力张量和运动学量相关联的这些方程称为本构关系。本章的核心部分是致力于介绍一个现代的基于现象学的本构关系理论。该理论的主要特点是本构关系来源于内能和熵产生这两个标量的选择。这相当于这样一个命题，即物质的行为完全由它储存能量和产生熵的方式来表征。一般的理论是由几个例子证明日益复杂。它示出了如何推导可压缩和不可压缩的粘性导热流体（Navier-Stokes-Fourier流体），Korteweg流体，可压缩和不可压缩的导热粘弹性流体（Oldrophil-B和麦克斯韦流体）的本构关系。
The chapter starts with overview of the derivation of the balance equations for mass, momentum, angular momentum, and total energy, which is followed by a detailed discussion of the concept of entropy and entropy production. While the balance laws are universal for any continuous medium, the particular behavior of the material of interest must be described by an extra set of material-specific equations. These equations relating, for example, the Cauchy stress tensor and the kinematical quantities are called the constitutive relations. The core part of the chapter is devoted to the presentation of a modern thermodynamically based phenomenological theory of constitutive relations. The key feature of the theory is that the constitutive relations stem from the choice of two scalar quantities, the internal energy and the entropy production. This is tantamount to the proposition that the material behavior is fully characterized by the way it stores the energy and produces the entropy. The general theory is documented by several examples of increasing complexity. It is shown how to derive the constitutive relations for compressible and incompressible viscous heat-conducting fluids (Navier–Stokes–Fourier fluid), Korteweg fluids, and compressible and incompressible heat-conducting viscoelastic fluids (Oldroyd-B and Maxwell fluid).
流固耦合的欧拉技术：第一部分 - 建模和仿真
DOI：
10.1007/978-3-319-10705-9_74
发表时间：
2015
期刊：
影响因子：
--
作者：
S. Frei;T. Richter;T. Wick
通讯作者：
T. Wick