Physiological flow of Carreau fluid due to ciliary motion

S Nadeem,S Hussain,A Munim,A Shaheen

doi:10.1063/1.4945270

S Nadeem, S Hussain + Show 2 more

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https://doi.org/10.1063/1.4945270

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Abstract

In this paper, we have explained the ciliary motion of a Carreau fluid inside a symmetrical channel with ciliated walls. Carreau fluid equations for the two dimensional channel are interpreted by employing the low Reynolds number and long wave-length approximations. The analytical series solutions are found by employing the Homotopy perturbation method. Solutions are presented through graphs. The results for the distinct values of the constants are described by generating graphs of velocity, pressure gradient, pressure rise and stream lines.

Highlights

A cilium means an eye lash in Latin, is motile hair like slender that projects from free surface of certain cells
The results for the distinct values of the constants are described by generating graphs of velocity, pressure gradient, pressure rise and stream lines
Pressure gradient, pressure rise and stream lines is presented for the distinct values of parameters n, We (Weissenberg number), Q, ξ, δ and γ

Summary

Introduction

A cilium means an eye lash in Latin, is motile hair like slender that projects from free surface of certain cells. When the propagative direction of the metachronal wave is the same as the direction of the effective stroke, the beat coordination is called symplectic If instead both directions oppose each other than the coordination is termed antiplectic.[2] The interaction of cilia and its propulsion has attained much research efforts by physicists and engineers.[3,4] Basten and Giles[5] represented a detailed study on the functionality of primary cilia, their signaling, cell cycle and different diseases which developed due to the dysfunctional cilia like tumorigenesis, syndomes etc. Et al.[9] represented the mechanical characteristics of primary cilia They analyzed that a primary cilia in kidney epithelial cells have been observed to generate intercellular calcium in response to fluid flow.

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