International journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN:2313-626X

Frequency: 12
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 Volume 6, Issue 2 (February 2019), Pages: 17-22

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 Original Research Paper

 Title: A note on thin-film flow of Eyring-Powell fluid on the vertically moving belt using successive linearization method

 Author(s): Faisal Salah 1, 2, *, A. K. Alzahrani 1, Abdelmgid O. M. Sidahmed 1, K. K. Viswanathan 3

 Affiliation(s):

 1Department of Mathematics, College of Science and Arts, King Abdul-Aziz University, 21911 Rabigh, Saudi Arabia
 2Department of Mathematics, Faculty of Science, University of Kordofan, 51111 Elobid, Sudan
 3Department of Mathematics, Kuwait College of Sciences and Technology, Doha District, Safat 13133, Kuwait

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0003-0410-001X

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2019.02.004

 Abstract:

The main goal of this work is to obtain the numerical solution for thin film flow of MHD an incompressible Eyring-Powell fluid on a vertically moving belt. The nonlinear equation governing the flow problem is modeled and then solved numerically by means of a successive linearization method (SLM). The numerical results are derived in tables for comparisons. The important result of this comparison is the high precision of the SLM in solving nonlinear differential equations. The solutions take into account the behavior of Newtonian and non-Newtonian fluids. Graphical outcomes of various non-Newtonian parameters such as Hartman number and Stokes number on the flow field are discussed and analyzed. Besides this, the present results have been tested and compared with the available published results in a limiting manner and an excellent agreement is found. 

 © 2019 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Powell–Eyring fluid, Successive linearization, Thin-film flow

 Article History: Received 16 September 2018, Received in revised form 12 December 2018, Accepted 14 December 2018

 Acknowledgement:

No Acknowledgement

 Compliance with ethical standards

 Conflict of interest:  The authors declare that they have no conflict of interest.

 Citation:

 Salah F, Alzahrani AK, Sidahmed AOM et al. (2019). A note on thin-film flow of Eyring-Powell fluid on the vertically moving belt using successive linearization method. International Journal of Advanced and Applied Sciences, 6(2): 17-22

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 Figures

 Fig. 1 Fig. 2 Fig. 3 Fig. 4 Fig. 5 Fig. 6 Fig. 7 Fig. 8 Fig. 9 Fig. 10 Fig. 11 

 Tables

 Table 1 Table 2

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