Metachronal Wave of Cilia Transport in a Curved Channel

被引：31

作者：

Nadeem, Sohail ^{[1
]}

Sadaf, Hina ^{[1
]}

机构：

[1] Quaid I Azam Univ 45320, Dept Math, Islamabad 44000, Pakistan

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2015年 / 70卷 / 01期

关键词：

Cilia-Induced Flow; Curved Channel; Exact Solution; Metachronal Wave; Viscous Fluid; HYPERBOLIC TANGENT FLUID; PERISTALTIC FLOW;

D O I：

10.1515/zna-2014-0117

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

In this article, the mechanism of cilia-induced flow is discussed through a mathematical model. In this analysis two-dimensional flow of a viscous fluid is observed in a curved channel with ciliated walls. The features of ciliary structures are determined by the dominance of viscous effects over inertial effects using the long-wavelength approximation. The flow is modeled in both fixed and wave frame references. The exact solution is calculated for the velocity profile and the flow properties for the viscous fluid are determined as a function of the cilia and metachronal wave velocity. Results for the pressure rise, pressure gradient and stream function are constructed and analyzed graphically.

引用

页码：33 / 38

页数：6

共 23 条

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AGRAWAL HL, 1984, INDIAN J PURE AP MAT, V15, P1128

[2] Metachronal beating of cilia under influence of Hartmann layer and heat transfer [J].