中文摘要：

针对流体在纳微米尺度下的流体流动规律不符合泊肃叶规律的理论依据不足的难题，研究了纳微米圆管中流体的流动，将流体的微可压缩和固壁对流体的作用同时考虑进来，并将固壁对流体的作用采用固壁作用力的形式引入到流体力学方程，采用涡函数流函数将方程解耦，并用正则摄动法求得一阶精度的压力和速度的解析解。结果发现：固壁作用力导致零阶径向压力的出现，一阶压力的增强和一阶速度的降低；量纲一的体积流量偏离了不可压缩流体的体积流量，偏离效应受流体的微可压缩性和固壁作用力的共同影响。体积流量在同尺度下偏离泊肃叶流动的流量大小随着可压缩系数和流体中和壁面产生作用的离子浓度增大而增大，随着纳微米圆管管径减小而增大，纳微米圆管管径低于某一尺寸时，流体将不能流动。通过研究表明：纳微米尺度下产生微尺度效应的原因是流体的微可压缩性和壁面力的共同影响。

英文摘要：

ABSTRACT Aiming at the problem that fluid flow in nano/micro-size tubes deviates from the Hagen-Poiseuille law but the mecha-nism remains unclear to date, this paper focuses on fluid flowing in a nano/micro-size circular tube considering the weak compressibili-ty of the fluid and the tube wall action. The tube wall action was introduced into the momentum equations as a wall force, the hydrody-namic vorticity-stream equations were derived, and the first-order perturbation solutions of pressure and velocity were obtained. It is found that there exists zero-order radial pressure. Due to the influence of wall-fluid interaction, the first-order radial pressure increases and the first-order velocity decreases. The dimensionless volume flow rate deviates from an uncompressible fluid due to the compressi-bility of the fluid and the tube wall force. The deviation of the dimensionless volume flow rate from Poiseuille flow increases with the increasing of compressible coefficient and ion concentration in the liquid acted with the tube wall, and increases with the decreasing of the tube diameter. The liquid cannot flow when the tube diameter is less than a certain size. This paper reveals that the mirco-scale effect of nano/micro-size is resulted from the compressibility of the fluid and the tube wall force together.