双速双温二元混合Korteweg流体的弱非局部热力学
Weakly nonlocal thermodynamics of binary mixtures of Korteweg fluids with two velocities and two temperatures
摘要：
我们提供了一个热力学框架的二元混合物的Korteweg流体有两个速度和两个温度。允许本构函数取决于两种成分的扩散速度和比内能以及它们的第一梯度，以及取决于混合物的质量密度和一种成分的浓度，后者以及它们的第一和第二梯度。与热力学第二定律的兼容性研究通过应用广义刘程序。在一维的情况下，一个完整的解决方案的热力学限制的集合是通过假设一个可能的形式的本构方程的部分热通量和应力张量。对比熵的梯度进行一阶展开，得到了熵流的表达式。这包含了经典项（即热通量与组分温度之比的总和）和一些额外的非局部效应。
英文摘要：
We provide a thermodynamic framework for binary mixtures of Korteweg fluids with two velocities and two temperatures. The constitutive functions are allowed to depend on the diffusion velocity and the specific internal energy of both constituents, together with their first gradients, as well as on the mass density of the mixture and the concentration of one of the constituents, the latters together with their first and second gradients. Compatibility with second law of thermodynamics is investigated by applying a generalized Liu procedure. In the one-dimensional case, a complete solution of the set of thermodynamic restrictions is obtained by postulating a possible form of the constitutive equations for the partial heat fluxes and stress tensors. Taking a first order expansion in the gradients of the specific entropy, the expression of the entropy flux is determined. This contains the classical terms (namely, the sum of the ratios between the heat fluxes and the temperatures of the constituents) and some additional contributions accounting for nonlocal effects.
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