AI 中文总结
该研究针对不可压缩载体流双流体模型，推导了不同斯托克斯数下稀颗粒流密度的无黏解，分析了黏性边界层对无颗粒薄层的影响，改进了迈克尔判据，为结冰模拟提供了理论支撑。
AI 中文摘要
为将双流体模型应用于结冰模拟，我们阐明了双流体模型中物体表面稀颗粒流密度的若干数学特性。分别针对小斯托克斯数和大斯托克斯数，获得了前驻点附近的无黏精确解与摄动解，明确了分散相密度在整个斯托克斯数范围内的行为。还基于不可压缩纳维-斯托克斯方程，研究了载体相中层流边界层的黏性效应对低斯托克斯数区域出现的无颗粒薄层的影响。对分散相速度场的量级分析揭示了该薄层的成因及其出现判据，其中后一结果对迈克尔判据进行了改进。
英文摘要
We clarify some mathematical features of the density of a dilute particle flow on a body surface in a two-fluid model, with a view toward its application to icing simulations. Inviscid solutions in the vicinity of a front stagnation point are obtained in exact and perturbed forms for small and large Stokes numbers, respectively, and the behavior of the density of the dispersed phase is clarified over the entire range of Stokes numbers. The viscous effect of the laminar boundary layer in the carrier phase on the particle-free thin layer appearing in the low-Stokes-number regime is also investigated based on the incompressible Navier-Stokes equations. An order-of-magnitude estimation of the velocity field of the dispersed phase reveals the cause of this layer and the criterion for its appearance. In particular, the latter result provides an improved form of Michael's criterion.
Comments21 pages, 8 figures
