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MHD Micropolar Fluid Near a Vertical Plate with Newtonian Heating and Thermal Radiation in the Presence of Mass Diffusion

Received: 19 April 2015    Accepted: 22 April 2015    Published: 13 May 2015
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Abstract

The effects of chemical reaction and thermal radiation on unsteady free convection flow of a micropolar fluid past a semi-infinite vertical plate embedded in a porous medium in the presence of heat absorption with Newtonian heating have been investigated. Both physically important boundary conditions of uniform wall concentration (UWC) and uniform mass flux (UMF) are considered. Rosseland diffusion approximation is used to describe the radiative heat flux in the energy equation. Numerical results of velocity profiles of micropolar fluids are compared with the corresponding flow problems for a Newtonian fluid in UWC and UMF cases. Graphical results for velocity, temperature and concentration profiles of both phases based on the analytical solutions are presented and discussed. 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.

DOI 10.11648/j.pamj.20150403.14
Published in Pure and Applied Mathematics Journal (Volume 4, Issue 3, June 2015)
Page(s) 80-89
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

Thermal Radiation, Chemical Reaction, Mass Diffusion, Newtonian Heating

References
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[8] Bakr A A and Raizah Z A S: Unsteady MHD mixed convection flow of a viscous dissipating micropolar fluids in a boundary layer slip flow regime with Joule heating, International Journal of Scientific & Engineering Research, Volume 3, (8), 2012
[9] Khandelwal K, Anil Gupta, Poonam, Jain N C. Effects of couple stresses on the flow through a porous medium with variable permeability in slip flow regime. Ganita, 2003, 54(2):203–212.
[10] Sharma P K, Chaudhary R C. Effect of variable suction on transient free convective viscous incompressible flow past a vertical plate with periodic temperature variations in slip flow regime. Emirates Journal of Engineering Research, 2003, 8(2):33–38.
[11] Hayat T., Javed T., Abbas Z., Slip flow and heat transfer of a second grade fluid past a stretching sheet through a porous space, Int. J. Heat Mass Transfer 51 (2008) 4528–4534.
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[18] Bakr A.A., Effects of chemical reaction on MHD free convection and mass transfer flow of a micropolar fluid with oscillatory plate velocity and constant heat source in a rotating frame of reference, Commun. Nonlinear Sci. Numer. Simul. 16 (2011) 698–710.
[19] Ibrahim F.S., Elaiw A.M., Bakr A.A., Effect of the chemical reaction and radiation absorption on unsteady MHD mixed convection flow past a semi-infinite vertical permeable moving plate with heat source and suction, Commun. Nonlinear Sci. Numer. Simul. 13 (2008) 1056–1066.
[20] Chaudhary RC, Jain P (2007) An exact solution to the unsteady free convection boundary-layer flow past an impulsively started vertical surface with Newtonian heating. J Eng Phys Thermophys 80:954–960
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Author Information
  • Department of Mathematics, Faculty of Science for Girls, King Khaled University, Abha, Saudi Arabia; Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, Egypt

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

  • Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia; Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, Egypt

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  • APA Style

    Ahmed A. Bakr, Z. A. S. Raizah, Ahmed M. Elaiw. (2015). MHD Micropolar Fluid Near a Vertical Plate with Newtonian Heating and Thermal Radiation in the Presence of Mass Diffusion. Pure and Applied Mathematics Journal, 4(3), 80-89. https://doi.org/10.11648/j.pamj.20150403.14

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    ACS Style

    Ahmed A. Bakr; Z. A. S. Raizah; Ahmed M. Elaiw. MHD Micropolar Fluid Near a Vertical Plate with Newtonian Heating and Thermal Radiation in the Presence of Mass Diffusion. Pure Appl. Math. J. 2015, 4(3), 80-89. doi: 10.11648/j.pamj.20150403.14

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    AMA Style

    Ahmed A. Bakr, Z. A. S. Raizah, Ahmed M. Elaiw. MHD Micropolar Fluid Near a Vertical Plate with Newtonian Heating and Thermal Radiation in the Presence of Mass Diffusion. Pure Appl Math J. 2015;4(3):80-89. doi: 10.11648/j.pamj.20150403.14

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  • @article{10.11648/j.pamj.20150403.14,
      author = {Ahmed A. Bakr and Z. A. S. Raizah and Ahmed M. Elaiw},
      title = {MHD Micropolar Fluid Near a Vertical Plate with Newtonian Heating and Thermal Radiation in the Presence of Mass Diffusion},
      journal = {Pure and Applied Mathematics Journal},
      volume = {4},
      number = {3},
      pages = {80-89},
      doi = {10.11648/j.pamj.20150403.14},
      url = {https://doi.org/10.11648/j.pamj.20150403.14},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.pamj.20150403.14},
      abstract = {The effects of chemical reaction and thermal radiation on unsteady free convection flow of a micropolar fluid past a semi-infinite vertical plate embedded in a porous medium in the presence of heat absorption with Newtonian heating have been investigated. Both physically important boundary conditions of uniform wall concentration (UWC) and uniform mass flux (UMF) are considered. Rosseland diffusion approximation is used to describe the radiative heat flux in the energy equation. Numerical results of velocity profiles of micropolar fluids are compared with the corresponding flow problems for a Newtonian fluid in UWC and UMF cases. Graphical results for velocity, temperature and concentration profiles of both phases based on the analytical solutions are presented and discussed. 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 = {2015}
    }
    

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    AB  - The effects of chemical reaction and thermal radiation on unsteady free convection flow of a micropolar fluid past a semi-infinite vertical plate embedded in a porous medium in the presence of heat absorption with Newtonian heating have been investigated. Both physically important boundary conditions of uniform wall concentration (UWC) and uniform mass flux (UMF) are considered. Rosseland diffusion approximation is used to describe the radiative heat flux in the energy equation. Numerical results of velocity profiles of micropolar fluids are compared with the corresponding flow problems for a Newtonian fluid in UWC and UMF cases. Graphical results for velocity, temperature and concentration profiles of both phases based on the analytical solutions are presented and discussed. 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  - 4
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