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Peristaltic flow of a Johnson-Segalman fluid through a deformable tube

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Abstract

To understand theoretically the flow properties of physiological fluids we have considered as a model the peristaltic motion of a Johnson–Segalman fluid in a tube with a sinusoidal wave traveling down its wall. The perturbation solution for the stream function is obtained for large wavelength and small Weissenberg number. The expressions for the axial velocity, pressure gradient, and pressure rise per wavelength are also constructed. The general solution of the governing nonlinear partial differential equation is given using a transformation method. The numerical solution is also obtained and is compared with the perturbation solution. Numerical results are demonstrated for various values of the physical parameters of interest.

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Authors and Affiliations

  1. Chair of Fluid Dynamics, Department of Mechanical Engineering, Darmstadt University of Technology, Hochschulstrasse 1, 64289, Darmstadt, Germany

    Yongqi Wang

  2. Institute of Geotechnical Engineering, Universität für Bodenkultur, Feistmantelstr. 4, 1180, Vienna, Austria

    Yongqi Wang

  3. Mathematics Department, Quaid-i-Azam University, Islamabad, 45320, Pakistan

    Tasawar Hayat

  4. VAW, ETH Zürich, Gloriastrasse 37, 8092, Zürich, Switzerland

    Kolumban Hutter

Authors
  1. Yongqi Wang
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  2. Tasawar Hayat
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  3. Kolumban Hutter
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Correspondence to Yongqi Wang.

Additional information

Communicated by M.Y. Hussaini

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Wang, Y., Hayat, T. & Hutter, K. Peristaltic flow of a Johnson-Segalman fluid through a deformable tube. Theor. Comput. Fluid Dyn. 21, 369–380 (2007). https://doi.org/10.1007/s00162-007-0054-1

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  • DOI: https://doi.org/10.1007/s00162-007-0054-1

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