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

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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[8] Pop I, Grosan T, Cornelia R. Effect of heat generated by an exothermic reaction on the fully developed mixed convection flow in a vertical channel. Commun Non linear Sci Numer Simul. 15 (2010) 471–474
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[11] El-Hakiem MA. MHD oscillatory flow on free convection-radiation through a porous medium with constant suction velocity,” J Magnetism and Magnetic Materials 2000; 220: 271-276.
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[13] Mehmood1 A and Ali A. The effect of slip condition on unsteady MHD oscillatory flow of a viscous fluid in a planer channel. Rom. J Phys 2007; 52: 85–91.
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[16] Makinde OD, and Aziz A. MHD mixed convection from a vertical plate embedded in a porous medium with a convective boundary condition. Int J of Thermal Sciences 2010; 49: 1813-1820.
[17] Abdul Hakeem AK, and Sathiyanathan K. An analytic solution of an oscillatory flow through a porous medium with radiation effect. Nonlinear Analysis: Hybrid Systems 2009; 3: 288-295.
[18] Srinivas S and Muthuraj R. Effects of thermal radiation and space porosity on MHD mixed convection flow in a vertical channel using homotopy analysis method. Commun. Nonlinear Sci. Numer. Simulat 2010; 15: 2098–2108.
[19] Pal D, and Talukdar B. Perturbation analysis of unsteady magnetohydrodynamic convective heat and mass transfer in a boundary layer slip flow past a vertical permeable plate with thermal radiation and chemical reaction. Commun Nonlinear Sci Numer Simulat 2010; 15: 1813–1830.
[20] Ibrahim FS, Elaiw AM and Bakr AA. Effect of the chemical reaction and radiation absorption on the unsteady MHD free convection flow past a semi-infinite vertical permeable moving plate with heat source and suction. Comm. Nonlinear Sci. Numer. Simulat 2008; 13:1056–1066
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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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    T1  - Chemically Reacting Unsteady Magnetohydrodynamic Oscillatory Slip Flow of a Micropolar Fluid in a Planer Channel with Varying Concentration
    AU  - A. A. Bakr
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    T2  - American Journal of Applied Mathematics
    JF  - American Journal of Applied Mathematics
    JO  - American Journal of Applied Mathematics
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    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
  • Department of Mathematics, Faculty of Science for Girls, Abha, King Khaled University, Saudi Arabia

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