Double-Diffusion MHD Free Convective Flow along a Sphere in the Presence of a Homogeneous Chemical Reaction and Soret and Dufour Effects

A. J. Chamkha; A. M. Aly; Z. A. S. Raizah

doi:doi:10.11648/j.acm.20170601.12

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Double-Diffusion MHD Free Convective Flow along a Sphere in the Presence of a Homogeneous Chemical Reaction and Soret and Dufour Effects

A. J. Chamkha, A. M. Aly, Z. A. S. Raizah

Published in Applied and Computational Mathematics (Volume 6, Issue 1)

Received: 5 January 2017 Accepted: 19 January 2017 Published: 23 February 2017

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Abstract

A numerical solution is presented for the effects of chemical reaction, thermal radiation, Soret number, Dufour number and magnetic field on double-diffusion free convection flow along a sphere. The governing boundary-layer equations of the problem are formulated and transformed into non-similar form. The obtained equations are solved numerically by an efficient, iterative, tri-diagonal, implicit finite-difference method. The Roseland approximation is used to describe the radiative heat flux in the energy equation. Representative results for the fluid velocity, temperature and solute concentration profiles as well as the local heat and mass transfer rates for various values of the physical parameters are displayed in both graphical and tabular forms.

Published in	Applied and Computational Mathematics (Volume 6, Issue 1)
DOI	10.11648/j.acm.20170601.12
Page(s)	34-44
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), 2017. Published by Science Publishing Group

Keywords

Chemical Reaction, Radiation, Double Diffusion, MHD Flow, Soret and Dufour Effects

References

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A. J. Chamkha, A. M. Aly, Z. A. S. Raizah. (2017). Double-Diffusion MHD Free Convective Flow along a Sphere in the Presence of a Homogeneous Chemical Reaction and Soret and Dufour Effects. Applied and Computational Mathematics, 6(1), 34-44. https://doi.org/10.11648/j.acm.20170601.12

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ACS Style

A. J. Chamkha; A. M. Aly; Z. A. S. Raizah. Double-Diffusion MHD Free Convective Flow along a Sphere in the Presence of a Homogeneous Chemical Reaction and Soret and Dufour Effects. Appl. Comput. Math. 2017, 6(1), 34-44. doi: 10.11648/j.acm.20170601.12

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AMA Style

A. J. Chamkha, A. M. Aly, Z. A. S. Raizah. Double-Diffusion MHD Free Convective Flow along a Sphere in the Presence of a Homogeneous Chemical Reaction and Soret and Dufour Effects. Appl Comput Math. 2017;6(1):34-44. doi: 10.11648/j.acm.20170601.12

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@article{10.11648/j.acm.20170601.12,
  author = {A. J. Chamkha and A. M. Aly and Z. A. S. Raizah},
  title = {Double-Diffusion MHD Free Convective Flow along a Sphere in the Presence of a Homogeneous Chemical Reaction and Soret and Dufour Effects},
  journal = {Applied and Computational Mathematics},
  volume = {6},
  number = {1},
  pages = {34-44},
  doi = {10.11648/j.acm.20170601.12},
  url = {https://doi.org/10.11648/j.acm.20170601.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20170601.12},
  abstract = {A numerical solution is presented for the effects of chemical reaction, thermal radiation, Soret number, Dufour number and magnetic field on double-diffusion free convection flow along a sphere. The governing boundary-layer equations of the problem are formulated and transformed into non-similar form. The obtained equations are solved numerically by an efficient, iterative, tri-diagonal, implicit finite-difference method. The Roseland approximation is used to describe the radiative heat flux in the energy equation. Representative results for the fluid velocity, temperature and solute concentration profiles as well as the local heat and mass transfer rates for various values of the physical parameters are displayed in both graphical and tabular forms.},
 year = {2017}
}

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TY  - JOUR
T1  - Double-Diffusion MHD Free Convective Flow along a Sphere in the Presence of a Homogeneous Chemical Reaction and Soret and Dufour Effects
AU  - A. J. Chamkha
AU  - A. M. Aly
AU  - Z. A. S. Raizah
Y1  - 2017/02/23
PY  - 2017
N1  - https://doi.org/10.11648/j.acm.20170601.12
DO  - 10.11648/j.acm.20170601.12
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 34
EP  - 44
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20170601.12
AB  - A numerical solution is presented for the effects of chemical reaction, thermal radiation, Soret number, Dufour number and magnetic field on double-diffusion free convection flow along a sphere. The governing boundary-layer equations of the problem are formulated and transformed into non-similar form. The obtained equations are solved numerically by an efficient, iterative, tri-diagonal, implicit finite-difference method. The Roseland approximation is used to describe the radiative heat flux in the energy equation. Representative results for the fluid velocity, temperature and solute concentration profiles as well as the local heat and mass transfer rates for various values of the physical parameters are displayed in both graphical and tabular forms.
VL  - 6
IS  - 1
ER  -

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Author Information

A. J. Chamkha

Mechanical Engineering Department, Prince Mohammad Bin Fahd University, Al-Khobar, Saudi Arabia
A. M. Aly

Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt
Z. A. S. Raizah

Department of Mathematics, Faculty of Science for Girls, Abha, King Khalid University, Asir, Saudia Arabia

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APA Style

A. J. Chamkha, A. M. Aly, Z. A. S. Raizah. (2017). Double-Diffusion MHD Free Convective Flow along a Sphere in the Presence of a Homogeneous Chemical Reaction and Soret and Dufour Effects. Applied and Computational Mathematics, 6(1), 34-44. https://doi.org/10.11648/j.acm.20170601.12

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ACS Style

A. J. Chamkha; A. M. Aly; Z. A. S. Raizah. Double-Diffusion MHD Free Convective Flow along a Sphere in the Presence of a Homogeneous Chemical Reaction and Soret and Dufour Effects. Appl. Comput. Math. 2017, 6(1), 34-44. doi: 10.11648/j.acm.20170601.12

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AMA Style

A. J. Chamkha, A. M. Aly, Z. A. S. Raizah. Double-Diffusion MHD Free Convective Flow along a Sphere in the Presence of a Homogeneous Chemical Reaction and Soret and Dufour Effects. Appl Comput Math. 2017;6(1):34-44. doi: 10.11648/j.acm.20170601.12

Copy | Download

@article{10.11648/j.acm.20170601.12,
  author = {A. J. Chamkha and A. M. Aly and Z. A. S. Raizah},
  title = {Double-Diffusion MHD Free Convective Flow along a Sphere in the Presence of a Homogeneous Chemical Reaction and Soret and Dufour Effects},
  journal = {Applied and Computational Mathematics},
  volume = {6},
  number = {1},
  pages = {34-44},
  doi = {10.11648/j.acm.20170601.12},
  url = {https://doi.org/10.11648/j.acm.20170601.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20170601.12},
  abstract = {A numerical solution is presented for the effects of chemical reaction, thermal radiation, Soret number, Dufour number and magnetic field on double-diffusion free convection flow along a sphere. The governing boundary-layer equations of the problem are formulated and transformed into non-similar form. The obtained equations are solved numerically by an efficient, iterative, tri-diagonal, implicit finite-difference method. The Roseland approximation is used to describe the radiative heat flux in the energy equation. Representative results for the fluid velocity, temperature and solute concentration profiles as well as the local heat and mass transfer rates for various values of the physical parameters are displayed in both graphical and tabular forms.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Double-Diffusion MHD Free Convective Flow along a Sphere in the Presence of a Homogeneous Chemical Reaction and Soret and Dufour Effects
AU  - A. J. Chamkha
AU  - A. M. Aly
AU  - Z. A. S. Raizah
Y1  - 2017/02/23
PY  - 2017
N1  - https://doi.org/10.11648/j.acm.20170601.12
DO  - 10.11648/j.acm.20170601.12
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 34
EP  - 44
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20170601.12
AB  - A numerical solution is presented for the effects of chemical reaction, thermal radiation, Soret number, Dufour number and magnetic field on double-diffusion free convection flow along a sphere. The governing boundary-layer equations of the problem are formulated and transformed into non-similar form. The obtained equations are solved numerically by an efficient, iterative, tri-diagonal, implicit finite-difference method. The Roseland approximation is used to describe the radiative heat flux in the energy equation. Representative results for the fluid velocity, temperature and solute concentration profiles as well as the local heat and mass transfer rates for various values of the physical parameters are displayed in both graphical and tabular forms.
VL  - 6
IS  - 1
ER  -

Copy | Download