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A shear-rate-dependent flow generated via magnetically controlled metachronal motion of artificial cilia.
Biomechanics and Modeling in Mechanobiology ( IF 3.5 ) Pub Date : 2020-02-13 , DOI: 10.1007/s10237-020-01301-y
An Wu 1 , S Z Abbas 1, 2 , Z Asghar 3 , H Sun 1 , M Waqas 3 , W A Khan 1
Affiliation  

Cilia beating is a naturally occurring phenomenon that can be utilized in fluid transport in designing several biomechanical devices. Inspired by the ubiquity of bio-fluids (which are non-Newtonian), we report the characteristics of shear-rate-dependent viscosities on fluid flow generated by the wavy propulsion of magnetic cilia. We assume that the metachronal waves of these cilia form a two-dimensional wavy channel, which is filled with generalized Newtonian Carreau liquid. Galilean transformation is employed to relate fixed and moving frames. The constitutive equations are reduced under the classical lubrication assumption. The resulting fourth-order nonlinear differential equations are solved via a perturbation approach using the stream function. The effects of four dominant fluid parameters (shear thinning/thickening, power-law index, and zero- and infinite-shear-rate viscosity), magnetic parameter (Hartmann number), and metachronal wave parameters on fluid velocity, pressure rise per wavelength, and trapping phenomenon are shown in graphical results and explained thoroughly. This study could play an advisory role in designing a magnetic micro-bot useful in the biomedical industry.

中文翻译:

剪切速率依赖的流量是通过人工纤毛的磁控同步运动产生的。

纤毛跳动是自然现象,可以在设计几种生物力学设备时用于流体传输。受普遍存在的生物流体(非牛顿流体)的启发,我们报告了由剪切波率依赖的粘度对磁纤毛的波浪推进产生的流体流动的影响。我们假设这些纤毛的异时波形成了二维波浪形通道,该通道充满了广义的牛顿卡洛液体。伽利略变换用于关联固定框架和移动框架。本构方程在经典润滑假设下被简化。所得的四阶非线性微分方程通过使用流函数的摄动方法求解。四个主要流体参数(剪切稀化/增稠,幂律指数,图形结果显示了流体速度,每个波长的压力上升和捕获现象的磁参数(Hartmann数),零和无限剪切速率粘度以及无限参数)。这项研究可以在设计对生物医学行业有用的磁性微型机器人方面起到咨询作用。
更新日期:2020-03-30
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