Boundary Layer Stagnation-Point Flow of Micropolar Fluid over an Exponentially Stretching Sheet

Abdul Rehman; Naveed Sheikh

doi:doi:10.11648/j.ijfmts.20170303.11

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Boundary Layer Stagnation-Point Flow of Micropolar Fluid over an Exponentially Stretching Sheet

Abdul Rehman, Naveed Sheikh

Published in International Journal of Fluid Mechanics & Thermal Sciences (Volume 3, Issue 3)

Received: 19 May 2017 Accepted: 24 August 2017 Published: 7 October 2017

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Abstract

In this paper, the steady boundary layer stagnation point flow and heat transfer of a micropolar fluid flowing over an exponentially stretching sheet is investigated. The solution of the problem is obtained numerically using the Keller-box method and the series solutions are obtained with the help of homotopy analysis method (HAM). Comparisons of both the solutions are presented. At the end the effects of important physical parameters are presented through graphs and the salient features are discussed.

Published in	International Journal of Fluid Mechanics & Thermal Sciences (Volume 3, Issue 3)
DOI	10.11648/j.ijfmts.20170303.11
Page(s)	25-31
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Boundary Layer Flow, Heat Transfer, Micropolar Fluid, Exponential Stretching/Shrinking, Keller-Box Scheme, Homotopy Analysis Method

References

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[4]	S. Nadeem, A. Hussain, M. Khan, HAM solutions for boundary layer flow in the region of the stagnation point towards a stretching sheet, Commun Nonlinear Sci Numer Simulat 15 (2010) 475-481
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[10]	Abdul Rehman, S. Nadeem, M. Y. Malik, Stagnation flow of couple stress nanofluid over an exponentially stretching sheet through a porous medium, J. Power Tech. 93(2) (2013) 122-132
[11]	Sj. Liao, Notes on the homotopy analysis method: Some definitions and theorems, Commun. Nonlinear Sci. Numer. Simulat. 14 (2009) 983-997
[12]	Sj. Liao, On the relationship between the homotopy analysis method and Euler transform, Commun. Nonlinear Sci. Numer. Simulat. 15 (2010) 1421-1431
[13]	Abdul Rehman, S. Nadeem, Mixed convection heat transfer in micropolar nanofluid over a vertical slender cylinder, Chin. Phy. Lett. 29 (12) (2012) 124701-5
[14]	Abdul Rehman, Saleem Iqbal, Syed Mohsin Raza, Axisymmetric Stagnation Flow of a Micropolar Fluid in a Moving Cylinder: An Analytical Solution, Fluid Mechanics, 2(1) (2016) 1-7.
[15]	Abdul Rehman, S. Nadeem, S. Iqbal, M. Y. Malik, M. Naseer, Nanoparticle effect over the boundary layer flow over an exponentially stretching cylinder, J. Nano Engineering and Nano Systems (2014) 1-6.
[16]	S. Nadeem, Abdul Rehman, Changhoon Lee, Jinho Lee, Boundary layer flow of second grade fluid in a cylinder with heat transfer, Mathematical Problems in Engineering, Volume 2012, Article ID 640289.
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APA Style

Abdul Rehman, Naveed Sheikh. (2017). Boundary Layer Stagnation-Point Flow of Micropolar Fluid over an Exponentially Stretching Sheet. International Journal of Fluid Mechanics & Thermal Sciences, 3(3), 25-31. https://doi.org/10.11648/j.ijfmts.20170303.11

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ACS Style

Abdul Rehman; Naveed Sheikh. Boundary Layer Stagnation-Point Flow of Micropolar Fluid over an Exponentially Stretching Sheet. Int. J. Fluid Mech. Therm. Sci. 2017, 3(3), 25-31. doi: 10.11648/j.ijfmts.20170303.11

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AMA Style

Abdul Rehman, Naveed Sheikh. Boundary Layer Stagnation-Point Flow of Micropolar Fluid over an Exponentially Stretching Sheet. Int J Fluid Mech Therm Sci. 2017;3(3):25-31. doi: 10.11648/j.ijfmts.20170303.11

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@article{10.11648/j.ijfmts.20170303.11,
  author = {Abdul Rehman and Naveed Sheikh},
  title = {Boundary Layer Stagnation-Point Flow of Micropolar Fluid over an Exponentially Stretching Sheet},
  journal = {International Journal of Fluid Mechanics & Thermal Sciences},
  volume = {3},
  number = {3},
  pages = {25-31},
  doi = {10.11648/j.ijfmts.20170303.11},
  url = {https://doi.org/10.11648/j.ijfmts.20170303.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20170303.11},
  abstract = {In this paper, the steady boundary layer stagnation point flow and heat transfer of a micropolar fluid flowing over an exponentially stretching sheet is investigated. The solution of the problem is obtained numerically using the Keller-box method and the series solutions are obtained with the help of homotopy analysis method (HAM). Comparisons of both the solutions are presented. At the end the effects of important physical parameters are presented through graphs and the salient features are discussed.},
 year = {2017}
}

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TY  - JOUR
T1  - Boundary Layer Stagnation-Point Flow of Micropolar Fluid over an Exponentially Stretching Sheet
AU  - Abdul Rehman
AU  - Naveed Sheikh
Y1  - 2017/10/07
PY  - 2017
N1  - https://doi.org/10.11648/j.ijfmts.20170303.11
DO  - 10.11648/j.ijfmts.20170303.11
T2  - International Journal of Fluid Mechanics & Thermal Sciences
JF  - International Journal of Fluid Mechanics & Thermal Sciences
JO  - International Journal of Fluid Mechanics & Thermal Sciences
SP  - 25
EP  - 31
PB  - Science Publishing Group
SN  - 2469-8113
UR  - https://doi.org/10.11648/j.ijfmts.20170303.11
AB  - In this paper, the steady boundary layer stagnation point flow and heat transfer of a micropolar fluid flowing over an exponentially stretching sheet is investigated. The solution of the problem is obtained numerically using the Keller-box method and the series solutions are obtained with the help of homotopy analysis method (HAM). Comparisons of both the solutions are presented. At the end the effects of important physical parameters are presented through graphs and the salient features are discussed.
VL  - 3
IS  - 3
ER  -

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Author Information

Abdul Rehman

Department of Mathematics, University of Balochistan, Quetta, Pakistan
Naveed Sheikh

Department of Mathematics, University of Balochistan, Quetta, Pakistan

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APA Style

Abdul Rehman, Naveed Sheikh. (2017). Boundary Layer Stagnation-Point Flow of Micropolar Fluid over an Exponentially Stretching Sheet. International Journal of Fluid Mechanics & Thermal Sciences, 3(3), 25-31. https://doi.org/10.11648/j.ijfmts.20170303.11

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ACS Style

Abdul Rehman; Naveed Sheikh. Boundary Layer Stagnation-Point Flow of Micropolar Fluid over an Exponentially Stretching Sheet. Int. J. Fluid Mech. Therm. Sci. 2017, 3(3), 25-31. doi: 10.11648/j.ijfmts.20170303.11

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AMA Style

Abdul Rehman, Naveed Sheikh. Boundary Layer Stagnation-Point Flow of Micropolar Fluid over an Exponentially Stretching Sheet. Int J Fluid Mech Therm Sci. 2017;3(3):25-31. doi: 10.11648/j.ijfmts.20170303.11

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@article{10.11648/j.ijfmts.20170303.11,
  author = {Abdul Rehman and Naveed Sheikh},
  title = {Boundary Layer Stagnation-Point Flow of Micropolar Fluid over an Exponentially Stretching Sheet},
  journal = {International Journal of Fluid Mechanics & Thermal Sciences},
  volume = {3},
  number = {3},
  pages = {25-31},
  doi = {10.11648/j.ijfmts.20170303.11},
  url = {https://doi.org/10.11648/j.ijfmts.20170303.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20170303.11},
  abstract = {In this paper, the steady boundary layer stagnation point flow and heat transfer of a micropolar fluid flowing over an exponentially stretching sheet is investigated. The solution of the problem is obtained numerically using the Keller-box method and the series solutions are obtained with the help of homotopy analysis method (HAM). Comparisons of both the solutions are presented. At the end the effects of important physical parameters are presented through graphs and the salient features are discussed.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Boundary Layer Stagnation-Point Flow of Micropolar Fluid over an Exponentially Stretching Sheet
AU  - Abdul Rehman
AU  - Naveed Sheikh
Y1  - 2017/10/07
PY  - 2017
N1  - https://doi.org/10.11648/j.ijfmts.20170303.11
DO  - 10.11648/j.ijfmts.20170303.11
T2  - International Journal of Fluid Mechanics & Thermal Sciences
JF  - International Journal of Fluid Mechanics & Thermal Sciences
JO  - International Journal of Fluid Mechanics & Thermal Sciences
SP  - 25
EP  - 31
PB  - Science Publishing Group
SN  - 2469-8113
UR  - https://doi.org/10.11648/j.ijfmts.20170303.11
AB  - In this paper, the steady boundary layer stagnation point flow and heat transfer of a micropolar fluid flowing over an exponentially stretching sheet is investigated. The solution of the problem is obtained numerically using the Keller-box method and the series solutions are obtained with the help of homotopy analysis method (HAM). Comparisons of both the solutions are presented. At the end the effects of important physical parameters are presented through graphs and the salient features are discussed.
VL  - 3
IS  - 3
ER  -

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