Analysis of a channel and tube flow induced by cilia

Abdul M. Siddiqui, Ayesha Sohail, Khadija Maqbool

Research output: Contribution to journalArticle

3 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)133-141
Number of pages9
JournalApplied Mathematics and Computation
Volume309
DOIs
StatePublished - Sep 15 2017

Fingerprint

Pipe flow
Channel flow
Ordinary differential equations
Tube
Ordinary differential equation
Similarity Transformation
Collocation
Boundary value problems
Partial differential equations
Convert
Power Law
Partial differential equation
Boundary Value Problem
Geometry
Motion
Demonstrate
Graphics

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

Cite this

Siddiqui, Abdul M. ; Sohail, Ayesha ; Maqbool, Khadija. / Analysis of a channel and tube flow induced by cilia. In: Applied Mathematics and Computation. 2017 ; Vol. 309. pp. 133-141.
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Analysis of a channel and tube flow induced by cilia. / Siddiqui, Abdul M.; Sohail, Ayesha; Maqbool, Khadija.

In: Applied Mathematics and Computation, Vol. 309, 15.09.2017, p. 133-141.

Research output: Contribution to journalArticle

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