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

GM Fahad Bin Mostafa; Md. Rakib Hossain; Md. Abdus Samad

doi:doi:10.11648/j.ajae.20170404.11

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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

GM Fahad Bin Mostafa, Md. Rakib Hossain, Md. Abdus Samad

Published in American Journal of Aerospace Engineering (Volume 4, Issue 4)

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 (C_f) 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), 2018. 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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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

GM Fahad Bin Mostafa

Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh
Md. Rakib Hossain

Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh
Md. Abdus Samad

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

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Plain Text BibTeX RIS

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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