Vilfan A
J. Stefan Institute, Ljubljana, Slovenia.
Eur Phys J E Soft Matter. 2012 Aug;35(8):72. doi: 10.1140/epje/i2012-12072-3. Epub 2012 Aug 15.
We describe a multipole expansion for the low-Reynolds-number fluid flows generated by a localized source embedded in a plane with a no-slip boundary condition. It contains 3 independent terms that fall quadratically with the distance and 6 terms that fall with the third power. Within this framework we discuss the flows induced by a beating cilium described in different ways: a small particle circling on an elliptical trajectory, a thin rod and a general ciliary beating pattern. We identify the flow modes present based on the symmetry properties of the ciliary beat.
我们描述了一种多极展开，用于由嵌入具有无滑移边界条件的平面中的局部源产生的低雷诺数流体流动。它包含3个与距离成二次方下降的独立项和6个与三次方下降的项。在此框架内，我们讨论了以不同方式描述的摆动纤毛所诱导的流动：在椭圆轨迹上盘旋的小颗粒、细杆和一般的纤毛摆动模式。我们根据纤毛摆动的对称性识别出存在的流动模式。
