Numerical Study of Convective Heat Transfer on the Power Law Fluid over a Vertical Exponentially Stretching Cylinder

M. Naseer; M. Y. Malik; Abdul Rehman

doi:doi:10.11648/j.acm.20150405.13

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Numerical Study of Convective Heat Transfer on the Power Law Fluid over a Vertical Exponentially Stretching Cylinder

M. Naseer, M. Y. Malik, Abdul Rehman

Published in Applied and Computational Mathematics (Volume 4, Issue 5)

Received: 18 June 2015 Accepted: 27 June 2015 Published: 21 August 2015

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Abstract

The present paper is the study of boundary layer flow and heat transfer of Power law fluid flowing over a vertical exponentially stretching cylinder along its axial direction. The governing partial differential equations and the associated boundary conditions are reduced to nonlinear ordinary differential equations after using the boundary layer approximation and similarity transformations. The obtained system of nonlinear ordinary differential equations subject to the boundary conditions is solved numerically with the help of Fehlberg method. The effects of Power law index , Reynolds number , Prandtl number , the natural convection parameter and local Reynolds number are presented through graphs. The skin friction coefficient and Nusselt number are presented through tables for different parameters.The present paper is the study of boundary layer flow and heat transfer of Power law fluid flowing over a vertical exponentially stretching cylinder along its axial direction. The governing partial differential equations and the associated boundary conditions are reduced to nonlinear ordinary differential equations after using the boundary layer approximation and similarity transformations. The obtained system of nonlinear ordinary differential equations subject to the boundary conditions is solved numerically with the help of Fehlberg method. The effects of Power law index , Reynolds number , Prandtl number , the natural convection parameter λ and local Reynolds number Re_a are presented through graphs. The skin friction coefficient and Nusselt number are presented through tables for different parameters.

Published in	Applied and Computational Mathematics (Volume 4, Issue 5)
DOI	10.11648/j.acm.20150405.13
Page(s)	346-350
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

Boundary Layer Flow, Exponential Stretching, Vertical Cylinder, Power Law Fluid, Natural Convection Heat Transfer, Fehlberg Method

References

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M. Naseer, M. Y. Malik, Abdul Rehman. (2015). Numerical Study of Convective Heat Transfer on the Power Law Fluid over a Vertical Exponentially Stretching Cylinder. Applied and Computational Mathematics, 4(5), 346-350. https://doi.org/10.11648/j.acm.20150405.13

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ACS Style

M. Naseer; M. Y. Malik; Abdul Rehman. Numerical Study of Convective Heat Transfer on the Power Law Fluid over a Vertical Exponentially Stretching Cylinder. Appl. Comput. Math. 2015, 4(5), 346-350. doi: 10.11648/j.acm.20150405.13

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AMA Style

M. Naseer, M. Y. Malik, Abdul Rehman. Numerical Study of Convective Heat Transfer on the Power Law Fluid over a Vertical Exponentially Stretching Cylinder. Appl Comput Math. 2015;4(5):346-350. doi: 10.11648/j.acm.20150405.13

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@article{10.11648/j.acm.20150405.13,
  author = {M. Naseer and M. Y. Malik and Abdul Rehman},
  title = {Numerical Study of Convective Heat Transfer on the Power Law Fluid over a Vertical Exponentially Stretching Cylinder},
  journal = {Applied and Computational Mathematics},
  volume = {4},
  number = {5},
  pages = {346-350},
  doi = {10.11648/j.acm.20150405.13},
  url = {https://doi.org/10.11648/j.acm.20150405.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20150405.13},
  abstract = {The present paper is the study of boundary layer flow and heat transfer of Power law fluid flowing over a vertical exponentially stretching cylinder along its axial direction. The governing partial differential equations and the associated boundary conditions are reduced to nonlinear ordinary differential equations after using the boundary layer approximation and similarity transformations. The obtained system of nonlinear ordinary differential equations subject to the boundary conditions is solved numerically with the help of Fehlberg method. The effects of Power law index , Reynolds number , Prandtl number , the natural convection parameter   and local Reynolds number   are presented through graphs. The skin friction coefficient and Nusselt number are presented through tables for different parameters.The present paper is the study of boundary layer flow and heat transfer of Power law fluid flowing over a vertical exponentially stretching cylinder along its axial direction. The governing partial differential equations and the associated boundary conditions are reduced to nonlinear ordinary differential equations after using the boundary layer approximation and similarity transformations. The obtained system of nonlinear ordinary differential equations subject to the boundary conditions is solved numerically with the help of Fehlberg method. The effects of Power law index , Reynolds number , Prandtl number , the natural convection parameter λ and local Reynolds number Rea are presented through graphs. The skin friction coefficient and Nusselt number are presented through tables for different parameters.},
 year = {2015}
}

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TY - JOUR
T1 - Numerical Study of Convective Heat Transfer on the Power Law Fluid over a Vertical Exponentially Stretching Cylinder
AU - M. Naseer
AU - M. Y. Malik
AU - Abdul Rehman
Y1 - 2015/08/21
PY - 2015
N1 - https://doi.org/10.11648/j.acm.20150405.13
DO - 10.11648/j.acm.20150405.13
T2 - Applied and Computational Mathematics
JF - Applied and Computational Mathematics
JO - Applied and Computational Mathematics
SP - 346
EP - 350
PB - Science Publishing Group
SN - 2328-5613
UR - https://doi.org/10.11648/j.acm.20150405.13
AB - The present paper is the study of boundary layer flow and heat transfer of Power law fluid flowing over a vertical exponentially stretching cylinder along its axial direction. The governing partial differential equations and the associated boundary conditions are reduced to nonlinear ordinary differential equations after using the boundary layer approximation and similarity transformations. The obtained system of nonlinear ordinary differential equations subject to the boundary conditions is solved numerically with the help of Fehlberg method. The effects of Power law index , Reynolds number , Prandtl number , the natural convection parameter and local Reynolds number are presented through graphs. The skin friction coefficient and Nusselt number are presented through tables for different parameters.The present paper is the study of boundary layer flow and heat transfer of Power law fluid flowing over a vertical exponentially stretching cylinder along its axial direction. The governing partial differential equations and the associated boundary conditions are reduced to nonlinear ordinary differential equations after using the boundary layer approximation and similarity transformations. The obtained system of nonlinear ordinary differential equations subject to the boundary conditions is solved numerically with the help of Fehlberg method. The effects of Power law index , Reynolds number , Prandtl number , the natural convection parameter λ and local Reynolds number Rea are presented through graphs. The skin friction coefficient and Nusselt number are presented through tables for different parameters.
VL - 4
IS - 5
ER -

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Author Information

M. Naseer

Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
M. Y. Malik

Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
Abdul Rehman

Department of Mathematics, University of Balochistan, Quetta, Pakistan

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APA Style

M. Naseer, M. Y. Malik, Abdul Rehman. (2015). Numerical Study of Convective Heat Transfer on the Power Law Fluid over a Vertical Exponentially Stretching Cylinder. Applied and Computational Mathematics, 4(5), 346-350. https://doi.org/10.11648/j.acm.20150405.13

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ACS Style

M. Naseer; M. Y. Malik; Abdul Rehman. Numerical Study of Convective Heat Transfer on the Power Law Fluid over a Vertical Exponentially Stretching Cylinder. Appl. Comput. Math. 2015, 4(5), 346-350. doi: 10.11648/j.acm.20150405.13

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AMA Style

M. Naseer, M. Y. Malik, Abdul Rehman. Numerical Study of Convective Heat Transfer on the Power Law Fluid over a Vertical Exponentially Stretching Cylinder. Appl Comput Math. 2015;4(5):346-350. doi: 10.11648/j.acm.20150405.13

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@article{10.11648/j.acm.20150405.13,
  author = {M. Naseer and M. Y. Malik and Abdul Rehman},
  title = {Numerical Study of Convective Heat Transfer on the Power Law Fluid over a Vertical Exponentially Stretching Cylinder},
  journal = {Applied and Computational Mathematics},
  volume = {4},
  number = {5},
  pages = {346-350},
  doi = {10.11648/j.acm.20150405.13},
  url = {https://doi.org/10.11648/j.acm.20150405.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20150405.13},
  abstract = {The present paper is the study of boundary layer flow and heat transfer of Power law fluid flowing over a vertical exponentially stretching cylinder along its axial direction. The governing partial differential equations and the associated boundary conditions are reduced to nonlinear ordinary differential equations after using the boundary layer approximation and similarity transformations. The obtained system of nonlinear ordinary differential equations subject to the boundary conditions is solved numerically with the help of Fehlberg method. The effects of Power law index , Reynolds number , Prandtl number , the natural convection parameter   and local Reynolds number   are presented through graphs. The skin friction coefficient and Nusselt number are presented through tables for different parameters.The present paper is the study of boundary layer flow and heat transfer of Power law fluid flowing over a vertical exponentially stretching cylinder along its axial direction. The governing partial differential equations and the associated boundary conditions are reduced to nonlinear ordinary differential equations after using the boundary layer approximation and similarity transformations. The obtained system of nonlinear ordinary differential equations subject to the boundary conditions is solved numerically with the help of Fehlberg method. The effects of Power law index , Reynolds number , Prandtl number , the natural convection parameter λ and local Reynolds number Rea are presented through graphs. The skin friction coefficient and Nusselt number are presented through tables for different parameters.},
 year = {2015}
}

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