AI 中文总结
本文针对三维中尺度奇流体，推导热传导与自扩散方程及对应张量，经模拟验证后，研究其受限几何下的热与质量输运，发现其稳态温度、密度分布受奇输运系数显著形变，与常规流体存在明显差异。
AI 中文摘要
输运系数张量具有非零反对称分量的流体被命名为奇流体。在前期工作中，我们提出了各向同性二维奇流体的中尺度模拟模型，随后将其扩展至三维情形，以模拟具有圆柱对称性的各向异性奇流体。此前已通过动力学理论推导得到该三维中尺度奇流体的纳维-斯托克斯方程与粘度张量。本文中，我们推导了热传导方程与自扩散方程，以及对应的热导率张量与自扩散系数张量，这些理论结果通过模拟得到验证。我们还利用该中尺度模型研究了受限几何中三维奇流体的热与质量输运行为。与常规各向同性流体显著不同，受限奇流体的稳态温度与密度分布会被奇输运系数显著形变。
英文摘要
Fluids with nonvanishing antisymmetric components of the transport coefficient tensor are named odd fluids. In our previous works, we proposed a mesoscale simulation model for isotropic two-dimensional odd fluids and then extended it to the three-dimensional case to model an anisotropic odd fluid with cylindrical symmetry. The Navier-Stokes equation and the viscosity tensor of this three-dimensional mesoscale odd fluid were derived previously via a kinetic theory. Herein, we derive the heat conduction and self-diffusion equations, along with the corresponding thermal conductivity and self-diffusivity tensors. These theoretical results are validated by simulations. We further investigate heat and mass transport behaviors of three-dimensional odd fluids in a confined geometry through our mesoscale model. In striking contrast to normal isotropic fluids, the steady-state temperature and density distributions of confined odd fluids are significantly deformed by the odd transport coefficients.
Comments11 pages, 3 figures
