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Analysis of a channel and tube flow induced by cilia

Author

Listed:
  • Siddiqui, A.M.
  • Sohail, Ayesha
  • Maqbool, Khadija

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.

Suggested Citation

  • Siddiqui, A.M. & Sohail, Ayesha & Maqbool, Khadija, 2017. "Analysis of a channel and tube flow induced by cilia," Applied Mathematics and Computation, Elsevier, vol. 309(C), pages 133-141.
    • Handle: RePEc:eee:apmaco:v:309:y:2017:i:c:p:133-141
    DOI: 10.1016/j.amc.2017.04.008
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    Cited by:

    1. Farooq, A.A. & Tripathi, D. & Elnaqeeb, Thanaa, 2019. "On the propulsion of micropolar fluid inside a channel due to ciliary induced metachronal wave," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 225-235.
    2. Ponalagusamy, R., 2018. "Mathematical analysis of flow of non-Newtonian fluid due to metachronal beating of cilia in a tube and its physiological applications," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 545-561.
    3. Muhammad Mubashir Bhatti & Fehid Ishtiaq & Rahmat Ellahi & Sadiq M. Sait, 2023. "Novel Aspects of Cilia-Driven Flow of Viscoelastic Fluid through a Non-Darcy Medium under the Influence of an Induced Magnetic Field and Heat Transfer," Mathematics, MDPI, vol. 11(10), pages 1-27, May.

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