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

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), 2024. 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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[2] J. H. Merkin, V. Kumaran, The unsteady MHD boundary-layer flow on a shrinking sheet, Euro. J. Mech. B/Fluids 29 (2010) 357-363
[3] F. T. Akyildiz, D. A. Siginer, Existence results and numerical simulation of magneto hydrodynamic viscous flow over a shrinking sheet with suction, Math. Comp. Mod. 52 (2010) 346-354
[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
[5] N. A. Yacob, A. Ishak, I. Pop, Melting heat transfer in boundary layer stagnation-point flow towards a stretching/shrinking sheet in a micropolar fluid, Comp. Fluids 47 (2011) 16-21
[6] S. Nadeem, M. Awais, Thin film flow of an unsteady shrinking sheet through porous medium with variable viscosity, Phy. Letters A 372 (2008) 4965-4972
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[9] Abdul Rehman, S. Nadeem, M. Y. Malik, Boundary layer stagnation-point flow of a third grade fluid over an exponentially stretching sheet, Braz. J. Chem. Eng. 30(3) (2013) 611-618
[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
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[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.
[17] S. Nadeem, Abdul Rehman, K. Vajravelu, J. Lee, C. Lee, Axisymmetric stagnation flow of a micropolar nanofluid in a moving cylinder, Volume 2012 (2012), Article ID 378259, 17 pages.
[18] A. K. Alomari, M. S. M. Noorani, R. M. Nazar, Approximate analytical solutions of the Klein-Gordon equation by means of the homotopy analysis method, J. Quality Measur. Ana. 4 (2008) 45-57.
[19] M. Y. Malik, M. Naseer, S. Nadeem, Abdul Rehman, The boundary layer flow of Casson nanofluid over a vertical exponentially stretching cylinder, Appl. Nano Sci. DOI: 10.1007/s13204-012-0267-0.
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Cite This Article
  • 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
  • Department of Mathematics, University of Balochistan, Quetta, Pakistan

  • Department of Mathematics, University of Balochistan, Quetta, Pakistan

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