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Peristaltic flow of a couple stress fluid in an annulus: Application of an endoscope

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  • Mekheimer, Kh.S.
  • Abd elmaboud, Y.

Abstract

This paper discusses the influence of an endoscope on the peristaltic flow of a couple stress fluid in an annulus under a zero Reynolds number and long wavelength approximation. The inner tube is uniform, rigid, while the outer tube has a sinusoidal wave traveling down its wall. Analytical expressions for the axial velocity, stream function and axial pressure gradient are established. The flow is investigated in a wave frame of reference moving with the velocity of the wave. Numerical calculations are carried out for the pressure rise, frictional forces and trapping. The features of the flow characteristics are analyzed by plotting graphs and discussed in detail.

Suggested Citation

  • Mekheimer, Kh.S. & Abd elmaboud, Y., 2008. "Peristaltic flow of a couple stress fluid in an annulus: Application of an endoscope," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(11), pages 2403-2415.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:11:p:2403-2415
    DOI: 10.1016/j.physa.2007.12.017
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    References listed on IDEAS

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    1. El Naby, Abd El Hakeem Abd & El Misery, A.E.M. & Abd El Kareem, M.F., 2006. "Effects of a magnetic field on trapping through peristaltic motion for generalized Newtonian fluid in channel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 79-92.
    2. Hayat, T. & Ali, N., 2006. "On mechanism of peristaltic flows for power-law fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 188-194.
    3. Eldabe, N.T.M. & El-Sayed, M.F. & Ghaly, A.Y. & Sayed, H.M., 2007. "Peristaltically induced transport of a MHD biviscosity fluid in a non-uniform tube," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 253-266.
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    Cited by:

    1. Sadaf, Hina & Akbar, Muhammad Usman & Nadeem, S., 2018. "Induced magnetic field analysis for the peristaltic transport of non-Newtonian nanofluid in an annulus," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 148(C), pages 16-36.
    2. Riaz, A. & Zeeshan, A. & Bhatti, M.M. & Ellahi, R., 2020. "Peristaltic propulsion of Jeffrey nano-liquid and heat transfer through a symmetrical duct with moving walls in a porous medium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    3. Abdul Manan & Saif Ur Rehman & Nageen Fatima & Muhammad Imran & Bagh Ali & Nehad Ali Shah & Jae Dong Chung, 2022. "Dynamics of Eyring–Powell Nanofluids When Bioconvection and Lorentz Forces Are Significant: The Case of a Slender Elastic Sheet of Variable Thickness with Porous Medium," Mathematics, MDPI, vol. 10(17), pages 1-20, August.
    4. Saima Noreen, 2013. "Mixed Convection Peristaltic Flow of Third Order Nanofluid with an Induced Magnetic Field," PLOS ONE, Public Library of Science, vol. 8(11), pages 1-15, November.

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