中文摘要：

采用经典Galerkin有限元法和Newton—Raphson迭代法，配合适当的边界条件实现了微流道中牛顿流体和剪切变稀流体前沿喷泉流动的数值仿真。结果表明：两种流体在喷泉流动区域的速度压力分布规律相同，在微尺度条件下流体的本构特性对喷泉流动的形式影响较小，仅是剪切变稀流体的喷泉区域略大于牛顿流体。在微尺度条件下，喷泉效应仍然是一种纯流体动力学现象。表面张力对微流体前沿喷泉流动区域的速度压力分布影响很小，但其在流体前沿自由表面上产生的切向应力使流体前沿的形状产生较大变形，与理想的半圆形相差较远。

英文摘要：

Numerical Simulation of Fountain Flow for Newtonian and non-Newtonian Fluid Front in micro-channel was realized by using general Galerkin finite element method and Newton- Raphson iteration method with appropriate boundary conditions. The results show that the distribution of velocity and pressure in fountain region is indistinguishable for both of two fluids, but the fountain region of non-Newtonian fluid is larger than Newtonian, and it is also presented that the feature of fluids in micro-channel has little effects on fountain flow. Fountain flow in microchannel is a pure hydrodynamic phenomenon all the same. The distribution of velocity and pressure in fountain region is relative to the surface tension in fluid front weakly, but its tangential stress acting on the fluid front leads to large deformation of the shape of front, which is different with the ideal semicircle shape.