In this study both linearized and the exponential forms of the Phan-Thien–Tanner model (PTT) are used to simulate the peristaltic flow in a tube. The solutions are investigated under zero Reynolds number and infinitely long wavelength assumptions. Computational solutions are obtained for pressure rise and friction force. The results of the average chyme velocity in the small intestine show that the PTT model is in good agreement with the experimental results, as shown in Table 1. Also, the magnitude of pressure rise and friction force of the exponential PTT model are smaller than in linear PTT model for different values of flow rate. The peristaltic pumping and the augmented pumping are discussed for various values of the physical parameters of interest. The pressure rise and friction force of PTT were compared with other studies in both Newtonian and non-Newtonian cases.
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November 2009
Technical Briefs
Creeping Flow of Phan-Thien–Tanner Fluids in a Peristaltic Tube With an Infinite Long Wavelength
Abd El Hakeem Abd El Naby
Abd El Hakeem Abd El Naby
Department of Mathematics, Faculty of Science,
e-mail: hakeemnaby@yahoo.com
Mansoura University
, New Damietta, Mansoura 3415, Egypt
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Abd El Hakeem Abd El Naby
Department of Mathematics, Faculty of Science,
Mansoura University
, New Damietta, Mansoura 3415, Egypte-mail: hakeemnaby@yahoo.com
J. Appl. Mech. Nov 2009, 76(6): 064504 (6 pages)
Published Online: July 27, 2009
Article history
Received:
May 15, 2008
Revised:
October 4, 2008
Published:
July 27, 2009
Citation
Abd El Naby, A. E. H. (July 27, 2009). "Creeping Flow of Phan-Thien–Tanner Fluids in a Peristaltic Tube With an Infinite Long Wavelength." ASME. J. Appl. Mech. November 2009; 76(6): 064504. https://doi.org/10.1115/1.3132183
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