Kirwan A D, Massoudi Mehrdad
School of Marine Science and Policy, University of Delaware, Robinson Hall, Newark, DE 19716, USA.
U.S. Department of Energy, National Energy Technology Laboratory (NETL), 626 Cochrans Mill Road, Pittsburg, PA 15236, USA.
Entropy (Basel). 2024 Aug 24;26(9):723. doi: 10.3390/e26090723.
We propose new implicit constitutive relations for the heat fluxes of a two-temperature mixture of fluids. These relations are frame-indifferent forms. However, classical explicit forms of the stress tensors and the interaction forces (specified as explicit forms of constitutive relations) as given in mixture theory are used. The focus here is to establish constraints imposed on the implicit terms in the heat fluxes due to the Second Law of Thermodynamics. Our analysis establishes that the magnitude of the explicit entropy production is equal to or greater than that of the implicit entropy production.
我们提出了一种针对双温混合流体热通量的新的隐式本构关系。这些关系具有与参考系无关的形式。然而，这里使用的是混合理论中给出的应力张量和相互作用力的经典显式形式（指定为本构关系的显式形式）。这里的重点是确定由于热力学第二定律施加在热通量隐式项上的约束。我们的分析表明，显式熵产生的大小等于或大于隐式熵产生的大小。
