| 摘要: |
| 在Reynolds润滑理论的基础上，采用小参数法，导出了存在填隙二阶流体时，两圆球相对运动时流体的速度场和压力方程，进而求出切向阻力和阻力矩的解析解。结果表明：由于二阶流体存在法向应力差。计算得到的流体速度场和压力分布比存在填隙牛顿流体时的情况要复杂得多；但两圆球相对运动时，因存在填隙二阶流体引起的切向阻力和阻力矩与存在填隙牛顿流体时的结果相同。 |
| 关键词: 二阶流体 小参数法 润滑理论 阻力 |
| DOI：10.11841/j.issn.1007-4333.2005.01.026 |
| 修订日期：2004-09-07 |
| 基金项目:国家自然科学基金资助项目 (10 372 113) |
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| Analytical solution to relatively moving resistance of two spheres with interstitial second-order fluid |
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| Abstract: |
| Based on the Reynolds' lubrication approximation and the perturbation method, the velocity and the pressure equations for two relatively moving spheres with an interstitial second-order fluid was derived and the analytical solution to its resistances of the tangential force and the torque were obtained. The results indicate that there exist normal stress differences in a second-order fluid, so the equations of velocity and pressure are more complicated than that for a Newtonian fluid; however, their final results are the same as that for a Newtonian fluid. |
| Key words: second-order fluid,the perturbation method,lubrication approximation,resistance |
