An analysis of the flow of a power law fluid due to ciliary motion in an infinite channel

Abdul M. Siddiqui, Tahira Haroon, Mehwish Rani, Ali R. Ansari

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

The propulsion mechanics of cilia-induced flow is studied through a mathematical model. The problem of two-dimensional motion of a power law fluid inside a channel with ciliated walls is considered. The characteristics of ciliary systems are determined by the dominance of viscous effects over inertial effects using the long-wavelength approximation. Solutions for the longitudinal, transverse, and resultant velocities are obtained. The pressure gradient and volume flow rate for different values of the power law index are also calculated. The flow properties for the power law fluid are determined as a function of the cilia and metachronal wave velocity. The viscous and power law fluid are compared and discussed graphically.

Original languageEnglish (US)
Pages (from-to)56-69
Number of pages14
JournalJournal of Biorheology
Volume24
Issue number2
DOIs
StatePublished - Dec 1 2010

Fingerprint

Fluids
Pressure gradient
Propulsion
Mechanics
Flow rate
Mathematical models
Wavelength

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Siddiqui, Abdul M. ; Haroon, Tahira ; Rani, Mehwish ; Ansari, Ali R. / An analysis of the flow of a power law fluid due to ciliary motion in an infinite channel. In: Journal of Biorheology. 2010 ; Vol. 24, No. 2. pp. 56-69.
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An analysis of the flow of a power law fluid due to ciliary motion in an infinite channel. / Siddiqui, Abdul M.; Haroon, Tahira; Rani, Mehwish; Ansari, Ali R.

In: Journal of Biorheology, Vol. 24, No. 2, 01.12.2010, p. 56-69.

Research output: Contribution to journalArticle

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