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

Shamshuddin MD.

doi:doi:10.11648/j.ijtam.20170303.13

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

Shamshuddin MD.

Published in International Journal of Theoretical and Applied Mathematics (Volume 3, Issue 3)

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.

Published in	International Journal of Theoretical and Applied Mathematics (Volume 3, Issue 3)
DOI	10.11648/j.ijtam.20170303.13
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), 2017. Published by Science Publishing Group

Keywords

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

References

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APA Style

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://article.sciencepublishinggroup.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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TY  - JOUR
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
SP  - 110
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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Author Information

Shamshuddin MD.

Department of Mathematics, Vaagdevi College of Engineering, Warangal, India

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Plain Text BibTeX RIS

APA Style

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

Copy | Download

@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://article.sciencepublishinggroup.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}
}

Copy | Download

TY  - JOUR
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
SP  - 110
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  -

Copy | Download