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Convective heat transfer analysis for peristaltic flow of power-law fluid in a channel

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Abstract

The peristaltic flow of power law fluid in an asymmetric channel is discussed. The flow is generated because of peristaltic waves propagating along the channel walls. Heat transfer is examined through convective conditions of channel walls. Mathematical model is presented using the long wavelength and low Reynolds number approximations. The differential equations governing the flow are nonlinear and can admit non-unique solutions. There exist two different physically meaningful solutions one of which satisfies the boundary conditions at the upper wall and the other at the lower wall. The effects of the Biot numbers and the power-law nature of the fluid on the longitudinal velocity, temperature and pumping characteristics are studied in detail. Important conclusions have been pointed out. The streamlines pattern and trapping are given due attention.

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Authors and Affiliations

  1. Department of Mathematics, Quaid-I-Azam University, 45320, Islamabad, 44000, Pakistan

    T. Hayat & Humaira Yasmin

  2. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

    T. Hayat & A. Alsaedi

Authors
  1. T. Hayat
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  2. Humaira Yasmin
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  3. A. Alsaedi
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Correspondence to Humaira Yasmin.

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Technical Editor: Francisco Ricardo Cunha, Ph.D.

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Hayat, T., Yasmin, H. & Alsaedi, A. Convective heat transfer analysis for peristaltic flow of power-law fluid in a channel. J Braz. Soc. Mech. Sci. Eng. 37, 463–477 (2015). https://doi.org/10.1007/s40430-014-0177-4

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  • DOI: https://doi.org/10.1007/s40430-014-0177-4

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