AI 中文总结
本文通过平衡锚定公理锐化熵原理，构建可压缩非等温稀聚合物溶液的双流体热力学模型，导出构象应力与扩散项，并在极限下恢复Oldroyd-B/UCM方程。
AI 中文摘要
可压缩、非等温的稀聚合物溶液被构建为Class-II二元混合物，其中溶剂和聚合物具有各自独立的质量与动量平衡，而整个混合物则具有总能量与总熵平衡。通过本文引入的平衡锚定公理，熵的利用得以锐化：在固定的平衡表示中，每个选定的二元耗散产物都包含来自未闭合平衡通量或源的本构因子。聚合物构型首先通过连接子分布解析，随后通过其构象张量解析。群体运动学确定了聚合物输运，并通过矩方法产生双速度上对流速率；客观性验证了协变性而非选择协变性。在总熵平衡中，当变形与应力分解权重匹配时，构象输运和变形功率与其化学势和弹性偏应力对应项相抵消。Gordon–Schowalter检验独立地要求所陈述的哑铃自由能和Kramers应力采用仿射上对流选择，除非提供额外的可逆通道。协调的应力-相互作用变化通过散度项移动局部熵通量/产生对，揭示了局部机制产生表示的依赖性。熵不变的Class-II到Class-I约简选择了一个保持母体产生的后代熵通量，并产生热化学、构象应力和偏粘性应力扩散项。被省略的二次相对惯性通量与相对动能存储和输运配对，是可逆截断，而非缺失熵产生。所得可压缩非等温Hookean应力和温度方程仅在单速度、不可压缩和等温极限下才简化为Oldroyd-B/UCM模型。
英文摘要
A compressible, non-isothermal dilute polymer solution is formulated as a Class-II binary mixture with separate solvent and polymer mass and momentum balances and with total energy and entropy balances for the complete mixture. The entropy exploitation is sharpened by a balance-anchoring axiom introduced here: in a fixed balance representative, each selected binary dissipative product contains a constitutive factor from an unclosed balance flux or source. Polymer configuration is resolved first by a connector distribution and then by its conformation tensor. Population kinematics fix polymer transport and, by moments, yield a two-velocity upper-convected rate; objectivity verifies covariance rather than selecting it. Within the total entropy balance, configurational transport and deformation powers cancel their chemical-potential and elastic partial-stress counterparts when deformation and stress-decomposition weights match. A Gordon--Schowalter test independently requires the affine upper-convected choice for the stated dumbbell free energy and Kramers stress unless an additional reversible channel is supplied. Coordinated stress--interaction changes shift the local entropy flux/production pair by a divergence, exposing representation dependence of local mechanism-wise production. An entropy-invariant Class-II-to-Class-I reduction selects a descendant entropy flux preserving the parent production and yields thermo-chemical, configurational-stress and partial-viscous-stress diffusion terms. The omitted quadratic relative-inertia flux is paired with relative kinetic-energy storage and transport and is a reversible truncation, not missing entropy production. The resulting compressible non-isothermal Hookean stress and temperature equations reduce to Oldroyd-B/UCM only after one-velocity, incompressible and isothermal limits.
CommentsRevised version submitted to Open Transport
