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Numerical Study of Unsteady Mass Motion Flow of Power Law Fluid Along a Vertical Plate with the Effect of Viscous Dissipation and Low Magnetic Field

Received: 10 December 2017    Accepted: 11 January 2018    Published: 30 January 2018
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Abstract

The unsteady laminar boundary layer flow along a vertical stationary plate was investigated by taking into account the viscous dissipation of non- Newtonian fluid in case of free convection particularly. The governing non-linear partial differential equations are transformed into ordinary differential equations using a similarity transformation. Transformed equations have been discretized by finite difference approximation. The effects of viscous dissipation on velocity and temperature profile with unsteady case dimensionless numbers such as, Prandtl number (Pr), Eckert number (Ec), Grashof number (Gr) and magnetic parameter (M) have been depicted. It is observed that the interaction between the viscous heating and the buoyancy force has a significant influence on the results. Small effects have been found for Eckert number (Ec). Eventually, skin fiction coefficient (Cf) and heat transfer rate (Nu) are presented in tabular form for engineering studies.

Published in American Journal of Aerospace Engineering (Volume 4, Issue 4)
DOI 10.11648/j.ajae.20170404.11
Page(s) 38-53
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

Unsteady, Non-Newtonian Fluid, Viscous Dissipation, Free Boundary Layer, Skin Fiction, Heat Transfer Rate

References
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[11] Takhar, H. S., R. S. R. Glora and V. M. Soundalgekar, “Radiation effects on MHD free convection flow of radiating fluid past a semi-infinite vertical plate”, Int. J. Num. Methods Heat Fluid Flow, (1996) pp. 77-83.
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[15] Mansour M. A. and Gorla R. S. R., “Mixed convection-radiation interaction in power- law fluids along a non-isothermal wedge embedded in a porous medium”, Transport in Porous Media, (1998), pp. 113-124.
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Cite This Article
  • APA Style

    GM Fahad Bin Mostafa, Md. Rakib Hossain, Md. Abdus Samad. (2018). Numerical Study of Unsteady Mass Motion Flow of Power Law Fluid Along a Vertical Plate with the Effect of Viscous Dissipation and Low Magnetic Field. American Journal of Aerospace Engineering, 4(4), 38-53. https://doi.org/10.11648/j.ajae.20170404.11

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    ACS Style

    GM Fahad Bin Mostafa; Md. Rakib Hossain; Md. Abdus Samad. Numerical Study of Unsteady Mass Motion Flow of Power Law Fluid Along a Vertical Plate with the Effect of Viscous Dissipation and Low Magnetic Field. Am. J. Aerosp. Eng. 2018, 4(4), 38-53. doi: 10.11648/j.ajae.20170404.11

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    AMA Style

    GM Fahad Bin Mostafa, Md. Rakib Hossain, Md. Abdus Samad. Numerical Study of Unsteady Mass Motion Flow of Power Law Fluid Along a Vertical Plate with the Effect of Viscous Dissipation and Low Magnetic Field. Am J Aerosp Eng. 2018;4(4):38-53. doi: 10.11648/j.ajae.20170404.11

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  • @article{10.11648/j.ajae.20170404.11,
      author = {GM Fahad Bin Mostafa and Md. Rakib Hossain and Md. Abdus Samad},
      title = {Numerical Study of Unsteady Mass Motion Flow of Power Law Fluid Along a Vertical Plate with the Effect of Viscous Dissipation and Low Magnetic Field},
      journal = {American Journal of Aerospace Engineering},
      volume = {4},
      number = {4},
      pages = {38-53},
      doi = {10.11648/j.ajae.20170404.11},
      url = {https://doi.org/10.11648/j.ajae.20170404.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajae.20170404.11},
      abstract = {The unsteady laminar boundary layer flow along a vertical stationary plate was investigated by taking into account the viscous dissipation of non- Newtonian fluid in case of free convection particularly. The governing non-linear partial differential equations are transformed into ordinary differential equations using a similarity transformation. Transformed equations have been discretized by finite difference approximation. The effects of viscous dissipation on velocity and temperature profile with unsteady case dimensionless numbers such as, Prandtl number (Pr), Eckert number (Ec), Grashof number (Gr) and magnetic parameter (M) have been depicted. It is observed that the interaction between the viscous heating and the buoyancy force has a significant influence on the results. Small effects have been found for Eckert number (Ec). Eventually, skin fiction coefficient (Cf) and heat transfer rate (Nu) are presented in tabular form for engineering studies.},
     year = {2018}
    }
    

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  • TY  - JOUR
    T1  - Numerical Study of Unsteady Mass Motion Flow of Power Law Fluid Along a Vertical Plate with the Effect of Viscous Dissipation and Low Magnetic Field
    AU  - GM Fahad Bin Mostafa
    AU  - Md. Rakib Hossain
    AU  - Md. Abdus Samad
    Y1  - 2018/01/30
    PY  - 2018
    N1  - https://doi.org/10.11648/j.ajae.20170404.11
    DO  - 10.11648/j.ajae.20170404.11
    T2  - American Journal of Aerospace Engineering
    JF  - American Journal of Aerospace Engineering
    JO  - American Journal of Aerospace Engineering
    SP  - 38
    EP  - 53
    PB  - Science Publishing Group
    SN  - 2376-4821
    UR  - https://doi.org/10.11648/j.ajae.20170404.11
    AB  - The unsteady laminar boundary layer flow along a vertical stationary plate was investigated by taking into account the viscous dissipation of non- Newtonian fluid in case of free convection particularly. The governing non-linear partial differential equations are transformed into ordinary differential equations using a similarity transformation. Transformed equations have been discretized by finite difference approximation. The effects of viscous dissipation on velocity and temperature profile with unsteady case dimensionless numbers such as, Prandtl number (Pr), Eckert number (Ec), Grashof number (Gr) and magnetic parameter (M) have been depicted. It is observed that the interaction between the viscous heating and the buoyancy force has a significant influence on the results. Small effects have been found for Eckert number (Ec). Eventually, skin fiction coefficient (Cf) and heat transfer rate (Nu) are presented in tabular form for engineering studies.
    VL  - 4
    IS  - 4
    ER  - 

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Author Information
  • Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh

  • Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh

  • Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh

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