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

  • Original Article
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Journal of Biorheology

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.

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Authors and Affiliations

  1. Department of Mathematics, York Campus, Pennsylvania State University, York, PA, 17403, USA

    Abdul M. Siddiqui

  2. Department of Mathematics, COMSATS Institute of Information Technology, University Road, Abbottabad, NWFP, 22060, Pakistan

    Tahira Haroon & Mehwish Rani

  3. Department of Mathematics and Natural Sciences, Gulf University for Science and Technology, P.O. Box 7207, 32093, Hawally, Kuwait

    Ali R. Ansari

Authors
  1. Abdul M. Siddiqui
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  2. Tahira Haroon
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  3. Mehwish Rani
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  4. Ali R. Ansari
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Correspondence to Ali R. Ansari.

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Siddiqui, A.M., Haroon, T., Rani, M. et al. An analysis of the flow of a power law fluid due to ciliary motion in an infinite channel. J Biorheol 24, 56–69 (2010). https://doi.org/10.1007/s12573-011-0026-3

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  • DOI: https://doi.org/10.1007/s12573-011-0026-3

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