Mixed Convective Magnetohydrodynamic Heat Transfer Flow of Williamson Fluid Over a Porous Wedge

Amina Panezai; Abdul Rehman; Naveed Sheikh; Saleem Iqbal; Israr Ahmed; Manzoor Iqbal; Muhammad Zulfiqar

doi:doi:10.11648/j.ajmcm.20190403.13

| Peer-Reviewed

Mixed Convective Magnetohydrodynamic Heat Transfer Flow of Williamson Fluid Over a Porous Wedge

Amina Panezai, Abdul Rehman, Naveed Sheikh, Saleem Iqbal, Israr Ahmed, Manzoor Iqbal, Muhammad Zulfiqar

Published in American Journal of Mathematical and Computer Modelling (Volume 4, Issue 3)

Received: 9 July 2019 Accepted: 4 August 2019 Published: 29 August 2019

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Abstract

The present article examines the influence of thermal radiation on two-dimensional incompressible magnetohydrodynamic (MHD) mixed convective heat transfer flow of Williamson fluid flowing past a porous wedge. An adequate similarity transformation is adopted to reduce the fundamental boundary layer partial differential equations of Williamson fluid model in to a set of non-linear ordinary differential equations. The solutions of the resulting nonlinear system are obtained numerically using the fifth order numerical scheme the Runge-Kutta-Fehlberg method. The effects of different pertinent physical parameter such as magnetic parameter, Williamson parameter, radiation parameter and Prandtl number on temperature and velocity distributions are observed through graph.

Published in	American Journal of Mathematical and Computer Modelling (Volume 4, Issue 3)
DOI	10.11648/j.ajmcm.20190403.13
Page(s)	66-73
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), 2019. Published by Science Publishing Group

Keywords

Williamson Fluid, Boundary Layer Flow, Mixed Convection Heat Transfer, Runge-Kutta-Fehlberg Technique

References

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Amina Panezai, Abdul Rehman, Naveed Sheikh, Saleem Iqbal, Israr Ahmed, et al. (2019). Mixed Convective Magnetohydrodynamic Heat Transfer Flow of Williamson Fluid Over a Porous Wedge. American Journal of Mathematical and Computer Modelling, 4(3), 66-73. https://doi.org/10.11648/j.ajmcm.20190403.13

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ACS Style

Amina Panezai; Abdul Rehman; Naveed Sheikh; Saleem Iqbal; Israr Ahmed, et al. Mixed Convective Magnetohydrodynamic Heat Transfer Flow of Williamson Fluid Over a Porous Wedge. Am. J. Math. Comput. Model. 2019, 4(3), 66-73. doi: 10.11648/j.ajmcm.20190403.13

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AMA Style

Amina Panezai, Abdul Rehman, Naveed Sheikh, Saleem Iqbal, Israr Ahmed, et al. Mixed Convective Magnetohydrodynamic Heat Transfer Flow of Williamson Fluid Over a Porous Wedge. Am J Math Comput Model. 2019;4(3):66-73. doi: 10.11648/j.ajmcm.20190403.13

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@article{10.11648/j.ajmcm.20190403.13,
  author = {Amina Panezai and Abdul Rehman and Naveed Sheikh and Saleem Iqbal and Israr Ahmed and Manzoor Iqbal and Muhammad Zulfiqar},
  title = {Mixed Convective Magnetohydrodynamic Heat Transfer Flow of Williamson Fluid Over a Porous Wedge},
  journal = {American Journal of Mathematical and Computer Modelling},
  volume = {4},
  number = {3},
  pages = {66-73},
  doi = {10.11648/j.ajmcm.20190403.13},
  url = {https://doi.org/10.11648/j.ajmcm.20190403.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmcm.20190403.13},
  abstract = {The present article examines the influence of thermal radiation on two-dimensional incompressible magnetohydrodynamic (MHD) mixed convective heat transfer flow of Williamson fluid flowing past a porous wedge. An adequate similarity transformation is adopted to reduce the fundamental boundary layer partial differential equations of Williamson fluid model in to a set of non-linear ordinary differential equations. The solutions of the resulting nonlinear system are obtained numerically using the fifth order numerical scheme the Runge-Kutta-Fehlberg method. The effects of different pertinent physical parameter such as magnetic parameter, Williamson parameter, radiation parameter and Prandtl number on temperature and velocity distributions are observed through graph.},
 year = {2019}
}

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TY  - JOUR
T1  - Mixed Convective Magnetohydrodynamic Heat Transfer Flow of Williamson Fluid Over a Porous Wedge
AU  - Amina Panezai
AU  - Abdul Rehman
AU  - Naveed Sheikh
AU  - Saleem Iqbal
AU  - Israr Ahmed
AU  - Manzoor Iqbal
AU  - Muhammad Zulfiqar
Y1  - 2019/08/29
PY  - 2019
N1  - https://doi.org/10.11648/j.ajmcm.20190403.13
DO  - 10.11648/j.ajmcm.20190403.13
T2  - American Journal of Mathematical and Computer Modelling
JF  - American Journal of Mathematical and Computer Modelling
JO  - American Journal of Mathematical and Computer Modelling
SP  - 66
EP  - 73
PB  - Science Publishing Group
SN  - 2578-8280
UR  - https://doi.org/10.11648/j.ajmcm.20190403.13
AB  - The present article examines the influence of thermal radiation on two-dimensional incompressible magnetohydrodynamic (MHD) mixed convective heat transfer flow of Williamson fluid flowing past a porous wedge. An adequate similarity transformation is adopted to reduce the fundamental boundary layer partial differential equations of Williamson fluid model in to a set of non-linear ordinary differential equations. The solutions of the resulting nonlinear system are obtained numerically using the fifth order numerical scheme the Runge-Kutta-Fehlberg method. The effects of different pertinent physical parameter such as magnetic parameter, Williamson parameter, radiation parameter and Prandtl number on temperature and velocity distributions are observed through graph.
VL  - 4
IS  - 3
ER  -

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Author Information

Amina Panezai

Department of Mathematics, University of Balochistan, Quetta, Pakistan
Abdul Rehman

Department of Mathematics, University of Balochistan, Quetta, Pakistan
Naveed Sheikh

Department of Mathematics, University of Balochistan, Quetta, Pakistan
Saleem Iqbal

Department of Mathematics, University of Balochistan, Quetta, Pakistan
Israr Ahmed

Department of Mathematics, University of Balochistan, Quetta, Pakistan
Manzoor Iqbal

Department of Chemistry, University of Balochistan, Quetta, Pakistan
Muhammad Zulfiqar

Department of Mathematics, Government College University Lahore, Pakistan

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Plain Text BibTeX RIS

APA Style

Amina Panezai, Abdul Rehman, Naveed Sheikh, Saleem Iqbal, Israr Ahmed, et al. (2019). Mixed Convective Magnetohydrodynamic Heat Transfer Flow of Williamson Fluid Over a Porous Wedge. American Journal of Mathematical and Computer Modelling, 4(3), 66-73. https://doi.org/10.11648/j.ajmcm.20190403.13

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ACS Style

Amina Panezai; Abdul Rehman; Naveed Sheikh; Saleem Iqbal; Israr Ahmed, et al. Mixed Convective Magnetohydrodynamic Heat Transfer Flow of Williamson Fluid Over a Porous Wedge. Am. J. Math. Comput. Model. 2019, 4(3), 66-73. doi: 10.11648/j.ajmcm.20190403.13

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AMA Style

Amina Panezai, Abdul Rehman, Naveed Sheikh, Saleem Iqbal, Israr Ahmed, et al. Mixed Convective Magnetohydrodynamic Heat Transfer Flow of Williamson Fluid Over a Porous Wedge. Am J Math Comput Model. 2019;4(3):66-73. doi: 10.11648/j.ajmcm.20190403.13

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@article{10.11648/j.ajmcm.20190403.13,
  author = {Amina Panezai and Abdul Rehman and Naveed Sheikh and Saleem Iqbal and Israr Ahmed and Manzoor Iqbal and Muhammad Zulfiqar},
  title = {Mixed Convective Magnetohydrodynamic Heat Transfer Flow of Williamson Fluid Over a Porous Wedge},
  journal = {American Journal of Mathematical and Computer Modelling},
  volume = {4},
  number = {3},
  pages = {66-73},
  doi = {10.11648/j.ajmcm.20190403.13},
  url = {https://doi.org/10.11648/j.ajmcm.20190403.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmcm.20190403.13},
  abstract = {The present article examines the influence of thermal radiation on two-dimensional incompressible magnetohydrodynamic (MHD) mixed convective heat transfer flow of Williamson fluid flowing past a porous wedge. An adequate similarity transformation is adopted to reduce the fundamental boundary layer partial differential equations of Williamson fluid model in to a set of non-linear ordinary differential equations. The solutions of the resulting nonlinear system are obtained numerically using the fifth order numerical scheme the Runge-Kutta-Fehlberg method. The effects of different pertinent physical parameter such as magnetic parameter, Williamson parameter, radiation parameter and Prandtl number on temperature and velocity distributions are observed through graph.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - Mixed Convective Magnetohydrodynamic Heat Transfer Flow of Williamson Fluid Over a Porous Wedge
AU  - Amina Panezai
AU  - Abdul Rehman
AU  - Naveed Sheikh
AU  - Saleem Iqbal
AU  - Israr Ahmed
AU  - Manzoor Iqbal
AU  - Muhammad Zulfiqar
Y1  - 2019/08/29
PY  - 2019
N1  - https://doi.org/10.11648/j.ajmcm.20190403.13
DO  - 10.11648/j.ajmcm.20190403.13
T2  - American Journal of Mathematical and Computer Modelling
JF  - American Journal of Mathematical and Computer Modelling
JO  - American Journal of Mathematical and Computer Modelling
SP  - 66
EP  - 73
PB  - Science Publishing Group
SN  - 2578-8280
UR  - https://doi.org/10.11648/j.ajmcm.20190403.13
AB  - The present article examines the influence of thermal radiation on two-dimensional incompressible magnetohydrodynamic (MHD) mixed convective heat transfer flow of Williamson fluid flowing past a porous wedge. An adequate similarity transformation is adopted to reduce the fundamental boundary layer partial differential equations of Williamson fluid model in to a set of non-linear ordinary differential equations. The solutions of the resulting nonlinear system are obtained numerically using the fifth order numerical scheme the Runge-Kutta-Fehlberg method. The effects of different pertinent physical parameter such as magnetic parameter, Williamson parameter, radiation parameter and Prandtl number on temperature and velocity distributions are observed through graph.
VL  - 4
IS  - 3
ER  -

Copy | Download