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Additional Results for the Peristaltic Transport of Viscous Nanofluid in an Asymmetric Channel with Effects of the Convective Conditions

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Abstract

Exact theoretical solutions were obtained for the peristaltic transport of viscous nanofluid in an asymmetric channel in presence of the convective conditions. Therefore, on comparing the present results with those published approximate ones by using the homotopy perturbation method (HPM), great remarkable differences and contradictions have been detected. It was also shown that the published approximate solutions does not satisfy the boundary conditions of the studied problem. In addition, it was mentioned that the current work have many advantages over those obtained by using the HPM and, hence, reveals firmly that the researchers have to be very careful on using the homotopy perturbation method to solve the governing equations of a peristalsis flow, otherwise, a spurious physical sight is to be obtained.

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Acknowledgements

The authors would like to acknowledge financial support for this work from the Deanship of Scientific Research (DSR), University of Tabuk, Tabuk, Saudi Arabia, under Grant No. S-1437-0034.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk, 71491, Saudi Arabia

    Abdelhalim Ebaid

  2. Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah, 21589, Saudi Arabia

    Emad H. Aly

  3. Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, 11757, Egypt

    Emad H. Aly

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  1. Abdelhalim Ebaid
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  2. Emad H. Aly
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Correspondence to Abdelhalim Ebaid.

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Ebaid, A., Aly, E.H. Additional Results for the Peristaltic Transport of Viscous Nanofluid in an Asymmetric Channel with Effects of the Convective Conditions. Natl. Acad. Sci. Lett. 41, 59–63 (2018). https://doi.org/10.1007/s40009-017-0607-9

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  • DOI: https://doi.org/10.1007/s40009-017-0607-9

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