International Journal of Theoretical and Applied Mathematics

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Heat and Mass Transfer on the Unsteady MHD Flow of Chemically Reacting Micropolar Fluid with Radiation and Joule Heating

Received: 30 March 2017    Accepted: 22 April 2017    Published: 22 May 2017
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Abstract

To explore numerical simulation of transport in rheological materials processing, in the current paper, a finite element computational solution is presented for magnetohydrodynamic (MHD), incompressible, radiative and chemically-reacting micropolar fluid flow, heat and mass transfer adjacent to a vertical porous plate embedded in a saturated homogenous porous medium. Rosseland’s diffusion approximation is used to describe the radiative heat flux in the energy equation. A Darcy model is employed for the porous medium. The homogeneous chemical reaction of first order is accounted for in the mass diffusion equation. The numerical solutions of the system of non-linear partial differential equations which are rendered into non-dimensional form are obtained using a Galerkin formulation with a weighted residual scheme. The impact of Eringen coupling number, radiation-conduction number, chemical reaction parameter, plate moving velocity parameter, magnetic parameter, thermal Grashof number, species (solutal) Grashof number, permeability parameter, Eckert number on linear velocity, micro-rotation, temperature and concentration profiles. Furthermore, the influence of selected thermo-physical parameters on friction factor, surface heat transfer and mass transfer rate is also tabulated. The finite element solutions are verified with solutions from several limiting cases in the literature. Interesting features in the flow are identified and interpreted.

DOI 10.11648/j.ijtam.20170303.13
Published in International Journal of Theoretical and Applied Mathematics (Volume 3, Issue 3, June 2017)
Page(s) 110-121
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

Radiative Heat Transfer, Chemical Reaction, Joule Dissipation, Buoyancy, Micropolar Fluid, FEM

References
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[11] M. G. Reddy, Mass transfer effects on the insteady MHD radiative-convective flow of a micropolar fluid past a vertical porous plate with variable heat and mass flux, Journal of Engineering Physics and Thermophysics, Vol. 86, No. 2, 2013, pp. 406-415.
[12] B. I. Olajuwon, J. I. Oahimire, M. Ferdow, Effect of Thermal radiation and Hall current on heat and mass transfer of unsteady MHD flow of a viscoelastic micropolar fluid through a porous medium. Engineering Science & Technology-An International Journal, Vol. 17, 2014, pp. 185–193.
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Author Information
  • Department of Mathematics, Vaagdevi College of Engineering, Warangal, India

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    Shamshuddin MD. (2017). Heat and Mass Transfer on the Unsteady MHD Flow of Chemically Reacting Micropolar Fluid with Radiation and Joule Heating. International Journal of Theoretical and Applied Mathematics, 3(3), 110-121. https://doi.org/10.11648/j.ijtam.20170303.13

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    ACS Style

    Shamshuddin MD. Heat and Mass Transfer on the Unsteady MHD Flow of Chemically Reacting Micropolar Fluid with Radiation and Joule Heating. Int. J. Theor. Appl. Math. 2017, 3(3), 110-121. doi: 10.11648/j.ijtam.20170303.13

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    AMA Style

    Shamshuddin MD. Heat and Mass Transfer on the Unsteady MHD Flow of Chemically Reacting Micropolar Fluid with Radiation and Joule Heating. Int J Theor Appl Math. 2017;3(3):110-121. doi: 10.11648/j.ijtam.20170303.13

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  • @article{10.11648/j.ijtam.20170303.13,
      author = {Shamshuddin MD.},
      title = {Heat and Mass Transfer on the Unsteady MHD Flow of Chemically Reacting Micropolar Fluid with Radiation and Joule Heating},
      journal = {International Journal of Theoretical and Applied Mathematics},
      volume = {3},
      number = {3},
      pages = {110-121},
      doi = {10.11648/j.ijtam.20170303.13},
      url = {https://doi.org/10.11648/j.ijtam.20170303.13},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ijtam.20170303.13},
      abstract = {To explore numerical simulation of transport in rheological materials processing, in the current paper, a finite element computational solution is presented for magnetohydrodynamic (MHD), incompressible, radiative and chemically-reacting micropolar fluid flow, heat and mass transfer adjacent to a vertical porous plate embedded in a saturated homogenous porous medium. Rosseland’s diffusion approximation is used to describe the radiative heat flux in the energy equation. A Darcy model is employed for the porous medium. The homogeneous chemical reaction of first order is accounted for in the mass diffusion equation. The numerical solutions of the system of non-linear partial differential equations which are rendered into non-dimensional form are obtained using a Galerkin formulation with a weighted residual scheme. The impact of Eringen coupling number, radiation-conduction number, chemical reaction parameter, plate moving velocity parameter, magnetic parameter, thermal Grashof number, species (solutal) Grashof number, permeability parameter, Eckert number on linear velocity, micro-rotation, temperature and concentration profiles. Furthermore, the influence of selected thermo-physical parameters on friction factor, surface heat transfer and mass transfer rate is also tabulated. The finite element solutions are verified with solutions from several limiting cases in the literature. Interesting features in the flow are identified and interpreted.},
     year = {2017}
    }
    

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    T1  - Heat and Mass Transfer on the Unsteady MHD Flow of Chemically Reacting Micropolar Fluid with Radiation and Joule Heating
    AU  - Shamshuddin MD.
    Y1  - 2017/05/22
    PY  - 2017
    N1  - https://doi.org/10.11648/j.ijtam.20170303.13
    DO  - 10.11648/j.ijtam.20170303.13
    T2  - International Journal of Theoretical and Applied Mathematics
    JF  - International Journal of Theoretical and Applied Mathematics
    JO  - International Journal of Theoretical and Applied Mathematics
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    EP  - 121
    PB  - Science Publishing Group
    SN  - 2575-5080
    UR  - https://doi.org/10.11648/j.ijtam.20170303.13
    AB  - To explore numerical simulation of transport in rheological materials processing, in the current paper, a finite element computational solution is presented for magnetohydrodynamic (MHD), incompressible, radiative and chemically-reacting micropolar fluid flow, heat and mass transfer adjacent to a vertical porous plate embedded in a saturated homogenous porous medium. Rosseland’s diffusion approximation is used to describe the radiative heat flux in the energy equation. A Darcy model is employed for the porous medium. The homogeneous chemical reaction of first order is accounted for in the mass diffusion equation. The numerical solutions of the system of non-linear partial differential equations which are rendered into non-dimensional form are obtained using a Galerkin formulation with a weighted residual scheme. The impact of Eringen coupling number, radiation-conduction number, chemical reaction parameter, plate moving velocity parameter, magnetic parameter, thermal Grashof number, species (solutal) Grashof number, permeability parameter, Eckert number on linear velocity, micro-rotation, temperature and concentration profiles. Furthermore, the influence of selected thermo-physical parameters on friction factor, surface heat transfer and mass transfer rate is also tabulated. The finite element solutions are verified with solutions from several limiting cases in the literature. Interesting features in the flow are identified and interpreted.
    VL  - 3
    IS  - 3
    ER  - 

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