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National Academy Science Letters

, Volume 41, Issue 1, pp 59–63 | Cite as

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

  • Abdelhalim Ebaid
  • Emad H. Aly
Short Communication

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.

Keywords

Nanofluid Peristaltic Convective conditions Asymmetric channel Exact solution 

Notes

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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Copyright information

© The National Academy of Sciences, India 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceUniversity of TabukTabukSaudi Arabia
  2. 2.Department of Mathematics, Faculty of ScienceUniversity of JeddahJeddahSaudi Arabia
  3. 3.Department of Mathematics, Faculty of EducationAin Shams UniversityRoxy, CairoEgypt

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