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Investigation of Unsteady Mixed Convection Flow near the Stagnation Point of a Heated Vertical Plate embedded in a Nanofluid-Saturated Porous Medium by Self-Similar Technique

Received: 5 February 2015     Accepted: 6 February 2015     Published: 24 February 2015
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Abstract

This paper aims to study the problem of unsteady mixed convection in a stagnation flow on a heated vertical surface embedded in a nanofluid-saturated porous medium. The employed mathematical model for the nanofluid takes into account the effects of Brownian motion and thermophoresis. The presence of a solid matrix, which exerts first and second resistance parameters, is considered in this study. The self-similar solutions for the system of equations governing the problem are obtained. The resulting system of ordinary differential equations that govern the flow is solved numerically using fourth-fifth order Runge-Kutta with shooting method. Numerical results for the dimensionless velocity, temperature and nanoparticle volume fraction as well as skin friction, Nusselt number and Sherwood number are produced for different values of the influence parameters.

Published in American Journal of Energy Engineering (Volume 3, Issue 4-1)

This article belongs to the Special Issue Fire, Energy and Thermal Real-Life Challenges

DOI 10.11648/j.ajee.s.2015030401.13
Page(s) 42-51
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), 2015. Published by Science Publishing Group

Keywords

Unsteady Mixed Convection, Self-Similar Solution, Nanofluids, Stagnation, Porous Media

References
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Cite This Article
  • APA Style

    A. A. Abdullah, F. S. Ibrahim, A. F. Abdel Gawad, A. Batyyb. (2015). Investigation of Unsteady Mixed Convection Flow near the Stagnation Point of a Heated Vertical Plate embedded in a Nanofluid-Saturated Porous Medium by Self-Similar Technique. American Journal of Energy Engineering, 3(4-1), 42-51. https://doi.org/10.11648/j.ajee.s.2015030401.13

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    ACS Style

    A. A. Abdullah; F. S. Ibrahim; A. F. Abdel Gawad; A. Batyyb. Investigation of Unsteady Mixed Convection Flow near the Stagnation Point of a Heated Vertical Plate embedded in a Nanofluid-Saturated Porous Medium by Self-Similar Technique. Am. J. Energy Eng. 2015, 3(4-1), 42-51. doi: 10.11648/j.ajee.s.2015030401.13

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    AMA Style

    A. A. Abdullah, F. S. Ibrahim, A. F. Abdel Gawad, A. Batyyb. Investigation of Unsteady Mixed Convection Flow near the Stagnation Point of a Heated Vertical Plate embedded in a Nanofluid-Saturated Porous Medium by Self-Similar Technique. Am J Energy Eng. 2015;3(4-1):42-51. doi: 10.11648/j.ajee.s.2015030401.13

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  • @article{10.11648/j.ajee.s.2015030401.13,
      author = {A. A. Abdullah and F. S. Ibrahim and A. F. Abdel Gawad and A. Batyyb},
      title = {Investigation of Unsteady Mixed Convection Flow near the Stagnation Point of a Heated Vertical Plate embedded in a Nanofluid-Saturated Porous Medium by Self-Similar Technique},
      journal = {American Journal of Energy Engineering},
      volume = {3},
      number = {4-1},
      pages = {42-51},
      doi = {10.11648/j.ajee.s.2015030401.13},
      url = {https://doi.org/10.11648/j.ajee.s.2015030401.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajee.s.2015030401.13},
      abstract = {This paper aims to study the problem of unsteady mixed convection in a stagnation flow on a heated vertical surface embedded in a nanofluid-saturated porous medium. The employed mathematical model for the nanofluid takes into account the effects of Brownian motion and thermophoresis. The presence of a solid matrix, which exerts first and second resistance parameters, is considered in this study. The self-similar solutions for the system of equations governing the problem are obtained. The resulting system of ordinary differential equations that govern the flow is solved numerically using fourth-fifth order Runge-Kutta with shooting method. Numerical results for the dimensionless velocity, temperature and nanoparticle volume fraction as well as skin friction, Nusselt number and Sherwood number are produced for different values of the influence parameters.},
     year = {2015}
    }
    

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    T1  - Investigation of Unsteady Mixed Convection Flow near the Stagnation Point of a Heated Vertical Plate embedded in a Nanofluid-Saturated Porous Medium by Self-Similar Technique
    AU  - A. A. Abdullah
    AU  - F. S. Ibrahim
    AU  - A. F. Abdel Gawad
    AU  - A. Batyyb
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    T2  - American Journal of Energy Engineering
    JF  - American Journal of Energy Engineering
    JO  - American Journal of Energy Engineering
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    SN  - 2329-163X
    UR  - https://doi.org/10.11648/j.ajee.s.2015030401.13
    AB  - This paper aims to study the problem of unsteady mixed convection in a stagnation flow on a heated vertical surface embedded in a nanofluid-saturated porous medium. The employed mathematical model for the nanofluid takes into account the effects of Brownian motion and thermophoresis. The presence of a solid matrix, which exerts first and second resistance parameters, is considered in this study. The self-similar solutions for the system of equations governing the problem are obtained. The resulting system of ordinary differential equations that govern the flow is solved numerically using fourth-fifth order Runge-Kutta with shooting method. Numerical results for the dimensionless velocity, temperature and nanoparticle volume fraction as well as skin friction, Nusselt number and Sherwood number are produced for different values of the influence parameters.
    VL  - 3
    IS  - 4-1
    ER  - 

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Author Information
  • Department of Mathematical Sciences, Umm Al-Qura University, Makkah, Saudi Arabia

  • Department of Mathematics, University College, Umm Al-Qura University, Makkah, Saudi Arabia

  • Mech. Eng. Dept., College of Engineering and Islamic Architecture, Umm Al-Qura University, Makkah, Saudi Arabia

  • Mech. Eng. Dept., College of Engineering and Islamic Architecture, Umm Al-Qura University, Makkah, Saudi Arabia

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