Analysis of a channel and tube flow induced by cilia

A.M. Siddiqui, Ayesha Sohail and Khadija Maqbool

Applied Mathematics and Computation, 2017, vol. 309, issue C, 133-141

Abstract: Power law metachronal wave motion, responsible for the cilia transport is investigated in this paper using numerical tools. The dynamical analysis is made in channel and in tube to demonstrate the quantitative effect of the geometry. Similarity transformations are employed to convert the governing partial differential equations into a set of coupled ordinary differential equations. A swift and accurate collocation algorithm is applied to the boundary value problem (BVP) of coupled ordinary differential equations. A nondimensional graphical analysis of the waving amplitude is reported by varying the flow consistency and flow behavior indices.

Keywords: Ciliary wave-like motion; Power law fluid; Metachronism; Long wave approximation (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:309:y:2017:i:c:p:133-141

DOI: 10.1016/j.amc.2017.04.008

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