Development of nonlinear nonequilibrium fluid mechanics through comprehensive integration of molecular dynamics of vapor-liquid interface and molecular gas dynamics

本研究的最终目的是以Boltzmann方程为理论基础，将汽液界面分子动力学与分子气体动力学相结合，为非线性非平衡流体力学开辟新的天地。为此，我们进行了几个具体的分析：1.伴随着界面蒸发或冷凝的非平衡非定常蒸汽运动的一般公式；2.建立了稀薄气体的元素松弛和驱动流动问题之间的相互作用；3.仔细研究了宏观流体力学对某些纳米尺度流动的适用性。

The ultimate goal of this research is to break a new ground of nonlinear nonequilibrium fluid mechanics by a comprehensive integration of molecular dynamics at the vapor-liquid interface and molecular gas dynamics based on the theory of Boltzmann equation. To this end, we have performed several specific analyses: 1. General formulation of nonequilibrium unsteady vapor motions accompanied with evaporation or condensation at the interface; 2. Establishment of reciprocity among elemental relaxation and driven-flow problems for a rarefied gas; 3. Careful investigation of applicability of macroscopic fluid mechanics to some nano-scale flows.