Zhao, Longhua (2015) Fluid Dynamics of Flow Driven by Nodal Cilia Precessing Non-circular Cones. British Journal of Mathematics & Computer Science, 9 (3). pp. 246-260. ISSN 22310851
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Abstract
Nodal cilia play an important role in the left-right symmetry breaking at the early stage of the mammal embryos and show an apparent rotational motion. This study is about the flow induced by cilia sweeping out circular/elliptical cones above a no-slip plane in the low Reynolds number regime. Using the regularized Stokeslet method, we examine the properties of flows generated by a single cilium and multiple cilia, especially two cilia, which are assumed to be anchored to the embryonic heart wall. For a short-term Lagrangian fluid tracer trajectory, epicycles are presented as a nodal cilium precesses in either a circular cone or a non-circular cone shape. For the long-term behavior, the trajectory is periodic around both the circular and elliptical cones. Compared to the circular cone cases, the vertical variances are enhanced in elliptical cone cases. Besides tracer trajectories, fluid velocity elds are presented to demonstrate the flow structure. When two cilia are considered in the system, the flow structure is analyzed for the dierent phase angles and relative orientation of the elliptical cones.
Item Type: | Article |
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Subjects: | Euro Archives > Mathematical Science |
Depositing User: | Managing Editor |
Date Deposited: | 13 Jun 2023 04:06 |
Last Modified: | 11 Jan 2024 03:45 |
URI: | http://publish7promo.com/id/eprint/2723 |