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

Authors :
Emad H. Aly
Abdelhalim Ebaid
Source :
National Academy Science Letters. 41:59-63
Publication Year :
2018
Publisher :
Springer Science and Business Media LLC, 2018.

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.

Details

ISSN :
22501754 and 0250541X
Volume :
41
Database :
OpenAIRE
Journal :
National Academy Science Letters
Accession number :
edsair.doi...........49f061725f1fcff28629e842a6314c65
Full Text :
https://doi.org/10.1007/s40009-017-0607-9