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On the propulsion of micropolar fluid inside a channel due to ciliary induced metachronal wave

Author

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  • Farooq, A.A.
  • Tripathi, D.
  • Elnaqeeb, Thanaa

Abstract

A theoretical model is suggested to examine the consequences of ciliary activity on the propulsion of micropolar fluid through a two-dimensional channel. The inner walls of the channel are carpeted with cilia such that their coordinated beatings produce a metachronal wave. Long wavelength and low Reynolds number approximations are implemented to obtain the exact solutions of the governing differential equations. Special attention is given to investigate the pumping and the trapping characteristics of the micropolar fluid due to ciliary metachronism. The motivation of this study is to understand the mechanisms underlying the transport of human semen through ductuli efferentes. This investigation indicates that the micropolar fluid may describe the behavior of seminal material more realistically as compared to the Newtonian fluid.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:347:y:2019:i:c:p:225-235
    DOI: 10.1016/j.amc.2018.10.021
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    References listed on IDEAS

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    1. Cao, Limei & Si, Xinhui & Zheng, Liancun, 2015. "The flow of a micropolar fluid through a porous expanding channel: A Lie group analysis," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 242-250.
    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. Borrelli, Alessandra & Giantesio, Giulia & Patria, Maria Cristina, 2015. "MHD orthogonal stagnation-point flow of a micropolar fluid with the magnetic field parallel to the velocity at infinity," Applied Mathematics and Computation, Elsevier, vol. 264(C), pages 44-60.
    4. 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.
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    Cited by:

    1. Abbas, Nadeem & Nadeem, S. & Malik, M.Y., 2020. "On extended version of Yamada–Ota and Xue models in micropolar fluid flow under the region of stagnation point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).

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