J4 ›› 2008, Vol. 19 ›› Issue (21): 0-2645.

• 信息技术 •    

微结构表面上流体流动的数值模拟

李健1;周明1;蔡兰1;叶霞1,2;吴勃1;李刚1   

  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2008-11-10 发布日期:2008-11-10

Simulation of Liquid Flowing over Surfaces with Micro-structure

Li Jian1;Zhou Ming1;Cai Lan1;Ye Xia1,2;Wu Bo1;Li Gang1   

  • Received:1900-01-01 Revised:1900-01-01 Online:2008-11-10 Published:2008-11-10

摘要:

根据固液界面的复合接触模式,考察了液体在光栅表面上的流动。运用二阶中心差分方法对Navier-Stokes方程进行离散求解,采用了零滑移和零剪切交错边界条件,开发了一个用于计算二维流动参数的计算系统。运用该系统对二维管道进行了模拟,得到了管道内流体的速度分布和压强分布,并计算了管道的减阻情况。计算结果与以往类似结果对比说明了系统的理论基础和实施方案的正确性;计算结果表明,流体在光滑与光栅结构表面构成的管道中的压强分布存在一定差异,光栅结构表面具有一定的减阻性能。最后,通过对不同的表面结构参数进行数值实验,得出了用于减阻衡量的关系式。

关键词: 减阻;周期性微结构;N-S方程;零剪切;零滑移

Abstract:

The flowing past a stripe surface was modeled based on the contact mode between liquid and solid surface. The Navier-Stokes Equation was dispersed using second-order center finite difference scheme and then solved. The boundary condition was of compound condition of no-slip and zero shear stress. The velocity distribution of our simulation is in partly agreement with the results of experiment and simulation.The difference between the pressure drops of liquid in the pipe composed of by smooth surface and by stripe surface implies that the stripe surface behaves well drag-reducing performance. Then the relationship of drag reduction to the scale of the microstructure and the ratio of grooves were obtained from the simulation results of surfaces with different structures.

Key words: drag reducing, periodic micro-structure, Navier-Stokes eqution, zero shear stress, no slippage

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