Analysis of a channel and tube flow induced by cilia

A. M. Siddiqui; Ayesha Sohail; Khadija Maqbool

doi:10.1016/j.amc.2017.04.008

Analysis of a channel and tube flow induced by cilia

A. M. Siddiqui, Ayesha Sohail, Khadija Maqbool

Penn State York

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

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.

Original language	English (US)
Pages (from-to)	133-141
Number of pages	9
Journal	Applied Mathematics and Computation
Volume	309
DOIs	https://doi.org/10.1016/j.amc.2017.04.008
State	Published - Sep 15 2017

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2017.04.008

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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.",

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AU - Sohail, Ayesha

AU - Maqbool, Khadija

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Y1 - 2017/9/15

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AB - 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.

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JO - Applied Mathematics and Computation

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Analysis of a channel and tube flow induced by cilia

Abstract

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