Chemically Reacting Unsteady Magnetohydrodynamic Oscillatory Slip Flow of a Micropolar Fluid in a Planer Channel with Varying Concentration

A. A. Bakr

doi:doi:10.11648/j.ajam.20140204.15

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Chemically Reacting Unsteady Magnetohydrodynamic Oscillatory Slip Flow of a Micropolar Fluid in a Planer Channel with Varying Concentration

A. A. Bakr

Published in American Journal of Applied Mathematics (Volume 2, Issue 4)

Received: 12 August 2014 Accepted: 21 August 2014 Published: 30 August 2014

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Abstract

The study examines the problem of unsteady MHD mixed convection in a micropolar fluid with oscillatory flow of an electrically conducting optically thin fluid through a planer channel filled with saturated porous medium. The effect of buoyancy, heat source, thermal radiation and chemical reaction are taken into account embedded with slip boundary condition, varying temperature and concentration. The closed-form analytical solutions are obtained for the momentum, angular momentum, energy and concentration equations. The influence of the various parameters entering into the problem in the velocity, temperature and concentration fields are discussed with the help of graphs. Finally the effects of the pertinent parameters on the skin friction, couple stress and the rate of heat transfer coefficient at the plate are discussed.

Published in	American Journal of Applied Mathematics (Volume 2, Issue 4)
DOI	10.11648/j.ajam.20140204.15
Page(s)	141-148
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), 2014. Published by Science Publishing Group

Keywords

Micropolar Fluid, Oscillatory Flow, Thermal Radiation, Chemical Reaction, Heat and Mass Transfer, Planer Channel

References

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APA Style

A. A. Bakr. (2014). Chemically Reacting Unsteady Magnetohydrodynamic Oscillatory Slip Flow of a Micropolar Fluid in a Planer Channel with Varying Concentration. American Journal of Applied Mathematics, 2(4), 141-148. https://doi.org/10.11648/j.ajam.20140204.15

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ACS Style

A. A. Bakr. Chemically Reacting Unsteady Magnetohydrodynamic Oscillatory Slip Flow of a Micropolar Fluid in a Planer Channel with Varying Concentration. Am. J. Appl. Math. 2014, 2(4), 141-148. doi: 10.11648/j.ajam.20140204.15

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AMA Style

A. A. Bakr. Chemically Reacting Unsteady Magnetohydrodynamic Oscillatory Slip Flow of a Micropolar Fluid in a Planer Channel with Varying Concentration. Am J Appl Math. 2014;2(4):141-148. doi: 10.11648/j.ajam.20140204.15

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@article{10.11648/j.ajam.20140204.15,
  author = {A. A. Bakr},
  title = {Chemically Reacting Unsteady Magnetohydrodynamic Oscillatory Slip Flow of a Micropolar Fluid in a Planer Channel with Varying Concentration},
  journal = {American Journal of Applied Mathematics},
  volume = {2},
  number = {4},
  pages = {141-148},
  doi = {10.11648/j.ajam.20140204.15},
  url = {https://doi.org/10.11648/j.ajam.20140204.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20140204.15},
  abstract = {The study examines the problem of unsteady MHD mixed convection in a micropolar fluid with oscillatory flow of an electrically conducting optically thin fluid through a planer channel filled with saturated porous medium. The effect of buoyancy, heat source, thermal radiation and chemical reaction are taken into account embedded with slip boundary condition, varying temperature and concentration. The closed-form analytical solutions are obtained for the momentum, angular momentum, energy and concentration equations. The influence of the various parameters entering into the problem in the velocity, temperature and concentration fields are discussed with the help of graphs. Finally the effects of the pertinent parameters on the skin friction, couple stress and the rate of heat transfer coefficient at the plate are discussed.},
 year = {2014}
}

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TY  - JOUR
T1  - Chemically Reacting Unsteady Magnetohydrodynamic Oscillatory Slip Flow of a Micropolar Fluid in a Planer Channel with Varying Concentration
AU  - A. A. Bakr
Y1  - 2014/08/30
PY  - 2014
N1  - https://doi.org/10.11648/j.ajam.20140204.15
DO  - 10.11648/j.ajam.20140204.15
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 141
EP  - 148
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20140204.15
AB  - The study examines the problem of unsteady MHD mixed convection in a micropolar fluid with oscillatory flow of an electrically conducting optically thin fluid through a planer channel filled with saturated porous medium. The effect of buoyancy, heat source, thermal radiation and chemical reaction are taken into account embedded with slip boundary condition, varying temperature and concentration. The closed-form analytical solutions are obtained for the momentum, angular momentum, energy and concentration equations. The influence of the various parameters entering into the problem in the velocity, temperature and concentration fields are discussed with the help of graphs. Finally the effects of the pertinent parameters on the skin friction, couple stress and the rate of heat transfer coefficient at the plate are discussed.
VL  - 2
IS  - 4
ER  -

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Author Information

A. A. Bakr

Department of Mathematics, Faculty of Science for Girls, Abha, King Khaled University, Saudi Arabia

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APA Style

A. A. Bakr. (2014). Chemically Reacting Unsteady Magnetohydrodynamic Oscillatory Slip Flow of a Micropolar Fluid in a Planer Channel with Varying Concentration. American Journal of Applied Mathematics, 2(4), 141-148. https://doi.org/10.11648/j.ajam.20140204.15

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ACS Style

A. A. Bakr. Chemically Reacting Unsteady Magnetohydrodynamic Oscillatory Slip Flow of a Micropolar Fluid in a Planer Channel with Varying Concentration. Am. J. Appl. Math. 2014, 2(4), 141-148. doi: 10.11648/j.ajam.20140204.15

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AMA Style

A. A. Bakr. Chemically Reacting Unsteady Magnetohydrodynamic Oscillatory Slip Flow of a Micropolar Fluid in a Planer Channel with Varying Concentration. Am J Appl Math. 2014;2(4):141-148. doi: 10.11648/j.ajam.20140204.15

Copy | Download

@article{10.11648/j.ajam.20140204.15,
  author = {A. A. Bakr},
  title = {Chemically Reacting Unsteady Magnetohydrodynamic Oscillatory Slip Flow of a Micropolar Fluid in a Planer Channel with Varying Concentration},
  journal = {American Journal of Applied Mathematics},
  volume = {2},
  number = {4},
  pages = {141-148},
  doi = {10.11648/j.ajam.20140204.15},
  url = {https://doi.org/10.11648/j.ajam.20140204.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20140204.15},
  abstract = {The study examines the problem of unsteady MHD mixed convection in a micropolar fluid with oscillatory flow of an electrically conducting optically thin fluid through a planer channel filled with saturated porous medium. The effect of buoyancy, heat source, thermal radiation and chemical reaction are taken into account embedded with slip boundary condition, varying temperature and concentration. The closed-form analytical solutions are obtained for the momentum, angular momentum, energy and concentration equations. The influence of the various parameters entering into the problem in the velocity, temperature and concentration fields are discussed with the help of graphs. Finally the effects of the pertinent parameters on the skin friction, couple stress and the rate of heat transfer coefficient at the plate are discussed.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - Chemically Reacting Unsteady Magnetohydrodynamic Oscillatory Slip Flow of a Micropolar Fluid in a Planer Channel with Varying Concentration
AU  - A. A. Bakr
Y1  - 2014/08/30
PY  - 2014
N1  - https://doi.org/10.11648/j.ajam.20140204.15
DO  - 10.11648/j.ajam.20140204.15
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 141
EP  - 148
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20140204.15
AB  - The study examines the problem of unsteady MHD mixed convection in a micropolar fluid with oscillatory flow of an electrically conducting optically thin fluid through a planer channel filled with saturated porous medium. The effect of buoyancy, heat source, thermal radiation and chemical reaction are taken into account embedded with slip boundary condition, varying temperature and concentration. The closed-form analytical solutions are obtained for the momentum, angular momentum, energy and concentration equations. The influence of the various parameters entering into the problem in the velocity, temperature and concentration fields are discussed with the help of graphs. Finally the effects of the pertinent parameters on the skin friction, couple stress and the rate of heat transfer coefficient at the plate are discussed.
VL  - 2
IS  - 4
ER  -

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