Boundary Layer Flow of a Nanofluid Through a Permeable Medium Due to Porous Plate

Zahida Khan; Abdul Rehman; Naveed Sheikh; Saleem Iqbal; Ejaz Sha

doi:doi:10.11648/j.ajmcm.20200504.11

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Boundary Layer Flow of a Nanofluid Through a Permeable Medium Due to Porous Plate

Zahida Khan, Abdul Rehman, Naveed Sheikh, Saleem Iqbal, Ejaz Sha

Published in American Journal of Mathematical and Computer Modelling (Volume 5, Issue 4)

Received: 14 September 2020 Accepted: 13 October 2020 Published: 23 October 2020

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Abstract

In the present article, an attempted have been made to study the behavior of boundary layer viscous fluid flow and heat transfer containing some nanosized solid particles flowing through a permeable porous medium. The problem was first modeled into a coupled system of nonlinear partial differential equations of conservation of mass, momentum and nanoparticle concentration. The system of coupled nonlinear boundary layer partial differential equations governing the flowing fluid momentum and heat transfer characteristics are reduced to a new simplified coupled nonlinear system of ordinary differential equations by means of a suitable similarity transformation. The transformed set of nonlinear coupled ordinary differential equations is than solved numerically by means of the fourth order numerical scheme the Runge-Kutta shooting method. The effects of important involved parameters that control the flow field and heat transfer characteristics, that is the viscosity parameter, the convection parameter, the Porosity parameter, the Prandtl number and the Lewis number have been obtained and discussed. Numerical solutions for velocity and temperature are sketched and graphically analyzed. The graphical results observed are indicating that by increasing the values of the non-dimensional viscosity parameter, the dimension less fluid flow profile increases, while for increasing values of the nanoparticles Brownian motion parameter, the nanoparticle concentration profile increases.

Published in	American Journal of Mathematical and Computer Modelling (Volume 5, Issue 4)
DOI	10.11648/j.ajmcm.20200504.11
Page(s)	97-101
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

Boundary Layer Flow, Permeable Medium, Porous Plate

References

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APA Style

Zahida Khan, Abdul Rehman, Naveed Sheikh, Saleem Iqbal, Ejaz Sha. (2020). Boundary Layer Flow of a Nanofluid Through a Permeable Medium Due to Porous Plate. American Journal of Mathematical and Computer Modelling, 5(4), 97-101. https://doi.org/10.11648/j.ajmcm.20200504.11

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ACS Style

Zahida Khan; Abdul Rehman; Naveed Sheikh; Saleem Iqbal; Ejaz Sha. Boundary Layer Flow of a Nanofluid Through a Permeable Medium Due to Porous Plate. Am. J. Math. Comput. Model. 2020, 5(4), 97-101. doi: 10.11648/j.ajmcm.20200504.11

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AMA Style

Zahida Khan, Abdul Rehman, Naveed Sheikh, Saleem Iqbal, Ejaz Sha. Boundary Layer Flow of a Nanofluid Through a Permeable Medium Due to Porous Plate. Am J Math Comput Model. 2020;5(4):97-101. doi: 10.11648/j.ajmcm.20200504.11

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@article{10.11648/j.ajmcm.20200504.11,
  author = {Zahida Khan and Abdul Rehman and Naveed Sheikh and Saleem Iqbal and Ejaz Sha},
  title = {Boundary Layer Flow of a Nanofluid Through a Permeable Medium Due to Porous Plate},
  journal = {American Journal of Mathematical and Computer Modelling},
  volume = {5},
  number = {4},
  pages = {97-101},
  doi = {10.11648/j.ajmcm.20200504.11},
  url = {https://doi.org/10.11648/j.ajmcm.20200504.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmcm.20200504.11},
  abstract = {In the present article, an attempted have been made to study the behavior of boundary layer viscous fluid flow and heat transfer containing some nanosized solid particles flowing through a permeable porous medium. The problem was first modeled into a coupled system of nonlinear partial differential equations of conservation of mass, momentum and nanoparticle concentration. The system of coupled nonlinear boundary layer partial differential equations governing the flowing fluid momentum and heat transfer characteristics are reduced to a new simplified coupled nonlinear system of ordinary differential equations by means of a suitable similarity transformation. The transformed set of nonlinear coupled ordinary differential equations is than solved numerically by means of the fourth order numerical scheme the Runge-Kutta shooting method. The effects of important involved parameters that control the flow field and heat transfer characteristics, that is the viscosity parameter, the convection parameter, the Porosity parameter, the Prandtl number and the Lewis number have been obtained and discussed. Numerical solutions for velocity and temperature are sketched and graphically analyzed. The graphical results observed are indicating that by increasing the values of the non-dimensional viscosity parameter, the dimension less fluid flow profile increases, while for increasing values of the nanoparticles Brownian motion parameter, the nanoparticle concentration profile increases.},
 year = {2020}
}

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TY  - JOUR
T1  - Boundary Layer Flow of a Nanofluid Through a Permeable Medium Due to Porous Plate
AU  - Zahida Khan
AU  - Abdul Rehman
AU  - Naveed Sheikh
AU  - Saleem Iqbal
AU  - Ejaz Sha
Y1  - 2020/10/23
PY  - 2020
N1  - https://doi.org/10.11648/j.ajmcm.20200504.11
DO  - 10.11648/j.ajmcm.20200504.11
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  - 97
EP  - 101
PB  - Science Publishing Group
SN  - 2578-8280
UR  - https://doi.org/10.11648/j.ajmcm.20200504.11
AB  - In the present article, an attempted have been made to study the behavior of boundary layer viscous fluid flow and heat transfer containing some nanosized solid particles flowing through a permeable porous medium. The problem was first modeled into a coupled system of nonlinear partial differential equations of conservation of mass, momentum and nanoparticle concentration. The system of coupled nonlinear boundary layer partial differential equations governing the flowing fluid momentum and heat transfer characteristics are reduced to a new simplified coupled nonlinear system of ordinary differential equations by means of a suitable similarity transformation. The transformed set of nonlinear coupled ordinary differential equations is than solved numerically by means of the fourth order numerical scheme the Runge-Kutta shooting method. The effects of important involved parameters that control the flow field and heat transfer characteristics, that is the viscosity parameter, the convection parameter, the Porosity parameter, the Prandtl number and the Lewis number have been obtained and discussed. Numerical solutions for velocity and temperature are sketched and graphically analyzed. The graphical results observed are indicating that by increasing the values of the non-dimensional viscosity parameter, the dimension less fluid flow profile increases, while for increasing values of the nanoparticles Brownian motion parameter, the nanoparticle concentration profile increases.
VL  - 5
IS  - 4
ER  -

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Author Information

Zahida Khan

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
Ejaz Sha

Department of Mathematics, University of Balochistan, Quetta, Pakistan

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APA Style

Zahida Khan, Abdul Rehman, Naveed Sheikh, Saleem Iqbal, Ejaz Sha. (2020). Boundary Layer Flow of a Nanofluid Through a Permeable Medium Due to Porous Plate. American Journal of Mathematical and Computer Modelling, 5(4), 97-101. https://doi.org/10.11648/j.ajmcm.20200504.11

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ACS Style

Zahida Khan; Abdul Rehman; Naveed Sheikh; Saleem Iqbal; Ejaz Sha. Boundary Layer Flow of a Nanofluid Through a Permeable Medium Due to Porous Plate. Am. J. Math. Comput. Model. 2020, 5(4), 97-101. doi: 10.11648/j.ajmcm.20200504.11

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AMA Style

Zahida Khan, Abdul Rehman, Naveed Sheikh, Saleem Iqbal, Ejaz Sha. Boundary Layer Flow of a Nanofluid Through a Permeable Medium Due to Porous Plate. Am J Math Comput Model. 2020;5(4):97-101. doi: 10.11648/j.ajmcm.20200504.11

Copy | Download

@article{10.11648/j.ajmcm.20200504.11,
  author = {Zahida Khan and Abdul Rehman and Naveed Sheikh and Saleem Iqbal and Ejaz Sha},
  title = {Boundary Layer Flow of a Nanofluid Through a Permeable Medium Due to Porous Plate},
  journal = {American Journal of Mathematical and Computer Modelling},
  volume = {5},
  number = {4},
  pages = {97-101},
  doi = {10.11648/j.ajmcm.20200504.11},
  url = {https://doi.org/10.11648/j.ajmcm.20200504.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmcm.20200504.11},
  abstract = {In the present article, an attempted have been made to study the behavior of boundary layer viscous fluid flow and heat transfer containing some nanosized solid particles flowing through a permeable porous medium. The problem was first modeled into a coupled system of nonlinear partial differential equations of conservation of mass, momentum and nanoparticle concentration. The system of coupled nonlinear boundary layer partial differential equations governing the flowing fluid momentum and heat transfer characteristics are reduced to a new simplified coupled nonlinear system of ordinary differential equations by means of a suitable similarity transformation. The transformed set of nonlinear coupled ordinary differential equations is than solved numerically by means of the fourth order numerical scheme the Runge-Kutta shooting method. The effects of important involved parameters that control the flow field and heat transfer characteristics, that is the viscosity parameter, the convection parameter, the Porosity parameter, the Prandtl number and the Lewis number have been obtained and discussed. Numerical solutions for velocity and temperature are sketched and graphically analyzed. The graphical results observed are indicating that by increasing the values of the non-dimensional viscosity parameter, the dimension less fluid flow profile increases, while for increasing values of the nanoparticles Brownian motion parameter, the nanoparticle concentration profile increases.},
 year = {2020}
}

Copy | Download

TY  - JOUR
T1  - Boundary Layer Flow of a Nanofluid Through a Permeable Medium Due to Porous Plate
AU  - Zahida Khan
AU  - Abdul Rehman
AU  - Naveed Sheikh
AU  - Saleem Iqbal
AU  - Ejaz Sha
Y1  - 2020/10/23
PY  - 2020
N1  - https://doi.org/10.11648/j.ajmcm.20200504.11
DO  - 10.11648/j.ajmcm.20200504.11
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  - 97
EP  - 101
PB  - Science Publishing Group
SN  - 2578-8280
UR  - https://doi.org/10.11648/j.ajmcm.20200504.11
AB  - In the present article, an attempted have been made to study the behavior of boundary layer viscous fluid flow and heat transfer containing some nanosized solid particles flowing through a permeable porous medium. The problem was first modeled into a coupled system of nonlinear partial differential equations of conservation of mass, momentum and nanoparticle concentration. The system of coupled nonlinear boundary layer partial differential equations governing the flowing fluid momentum and heat transfer characteristics are reduced to a new simplified coupled nonlinear system of ordinary differential equations by means of a suitable similarity transformation. The transformed set of nonlinear coupled ordinary differential equations is than solved numerically by means of the fourth order numerical scheme the Runge-Kutta shooting method. The effects of important involved parameters that control the flow field and heat transfer characteristics, that is the viscosity parameter, the convection parameter, the Porosity parameter, the Prandtl number and the Lewis number have been obtained and discussed. Numerical solutions for velocity and temperature are sketched and graphically analyzed. The graphical results observed are indicating that by increasing the values of the non-dimensional viscosity parameter, the dimension less fluid flow profile increases, while for increasing values of the nanoparticles Brownian motion parameter, the nanoparticle concentration profile increases.
VL  - 5
IS  - 4
ER  -

Copy | Download