Numerical Analysis of Non-Uniform Heat Source/Sink in a Radiative Micropolar Variable Electric Conductivity Fluid with Dissipation Joule Heating

Rasaq Adekunle Kareem; Sulyman Olakunle Salawu; Jacob Abiodun Gbadeyan

doi:doi:10.11648/j.ajam.20180602.12

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Numerical Analysis of Non-Uniform Heat Source/Sink in a Radiative Micropolar Variable Electric Conductivity Fluid with Dissipation Joule Heating

Rasaq Adekunle Kareem, Sulyman Olakunle Salawu, Jacob Abiodun Gbadeyan

Published in American Journal of Applied Mathematics (Volume 6, Issue 2)

Received: 12 February 2018 Accepted: 6 March 2018 Published: 26 March 2018

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Abstract

Computational analysis of radiative heat transfer of micropolar variable electric conductivity fluid with a non-even heat source/sink and dissipative joule heating have been carried out in this article. The flow past an inclined plate with an unvarying heat flux is considered. The transformed equations of the flow model are solved by the Runge-Kutta scheme coupled with shooting method to depict the dimensionless temperature, microrotation and velocity at the boundary layer. The results show that the coefficient of the skin friction and the temperature gradient at the wall increases for regular electric conductivity and non-uniform heat sink/source.

Published in	American Journal of Applied Mathematics (Volume 6, Issue 2)
DOI	10.11648/j.ajam.20180602.12
Page(s)	34-41
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), 2018. Published by Science Publishing Group

Keywords

Radiation, Dissipation, Hydromagnetic, Joule Heating, Micropolar Fluid

References

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[4]	Cortell, R. (2007). Viscous flow and heat transfer over a nonlinearly stretching sheet. Appl. Math. Comput., 184, 864-873.
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[7]	Hayat, T., Qasim, M. (2010), Influence of thermal radiation and Joule heating MHD flow of a Maxwell fluid in the presence of thermophoresis, Int. J. Heat Mass Transfer, 53, 4780-4788.
[8]	Helmy, K. A. (1995). MHD boundary layer equations for power law fluids with variable electric conductivity. Meccanica, 30, 187-200.
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[10]	Khilap, S., Manoj, K. (2015). Effect of viscous dissipation on double stratified MHD free convection in micropolar fluid flow in porous media with chemical reaction, heat generation and ohmic Heating, Chemical and Process Engineering Research, 31, 75-80.
[11]	Mabood, F., Ibrahim, S. M. (2016). Effects of soret and non-uniform heat source on MHD non-Darcian convective flow over a stretching sheet in a dissipative micropolar fluid with radiation, Journal of Applied Fluid Mechanics, 9, 2503-2513.
[12]	Mabood, F., Ibrahim, S. M., Rashidi, M. M., Shadloo, M. S., Giulio L. (2016). Non-uniform heat source/sink and Soret effects on MHD non-Darcian convective flow past a stretching sheet in a micropolar fluid with radiation, International Journal of Heat and Mass Transfer, 93, 674-682.
[13]	Mebarek-Oudina, F., Bessaih, R. (2014). Numerical modeling of MHD stability in a cylindrical configuration. Journal of the Franklin Institute, 351, 667-681.
[14]	Power, H. (1998). Micropolar fluid model for the brain fluid dynamics, in: Intl. Conf. on bio-fluid mechanics, U.K.
[15]	Rahman, M. M., Uddin, M. J., Aziz, A. (2009). Effects of variable electric conductivity and non-uniform heat source (or sink) on convective micropolar fluid flow along an inclined flat plate with surface heat flux, Int. Journal of Thermal Sciences, 48, 2331-2340.
[16]	Rawat, S., Kapoor, S., Bhargava, R. (2016). MHD flow heat and mass transfer of micropolar fluid over a nonlinear stretching sheet with variable micro inertia density, heat flux and chemical reaction in a non-darcy porous medium, Journal of Applied Fluid Mechanics, 9, 321-331.
[17]	Siva, R. S., Shamshuddin, M. D. (2015). Heat and mass transfer on the MHD flow of micropolar fluid in the presence of viscous dissipation and chemical reaction, Int. Conference on computational Heat and Mass transfer, 127, 885-892.
[18]	Ziaul Haquea, Md., Mahmud Alam, Md., Ferdows, M., Postelnicu, A. (2012). Micropolar fluid behaviors on steady MHD free convection and mass transfer flow with constant heat and mass fluxes, joule heating and viscous dissipation, Journal of King Saud University Engineering Sciences, 24, 71-84.

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Rasaq Adekunle Kareem, Sulyman Olakunle Salawu, Jacob Abiodun Gbadeyan. (2018). Numerical Analysis of Non-Uniform Heat Source/Sink in a Radiative Micropolar Variable Electric Conductivity Fluid with Dissipation Joule Heating. American Journal of Applied Mathematics, 6(2), 34-41. https://doi.org/10.11648/j.ajam.20180602.12

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ACS Style

Rasaq Adekunle Kareem; Sulyman Olakunle Salawu; Jacob Abiodun Gbadeyan. Numerical Analysis of Non-Uniform Heat Source/Sink in a Radiative Micropolar Variable Electric Conductivity Fluid with Dissipation Joule Heating. Am. J. Appl. Math. 2018, 6(2), 34-41. doi: 10.11648/j.ajam.20180602.12

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AMA Style

Rasaq Adekunle Kareem, Sulyman Olakunle Salawu, Jacob Abiodun Gbadeyan. Numerical Analysis of Non-Uniform Heat Source/Sink in a Radiative Micropolar Variable Electric Conductivity Fluid with Dissipation Joule Heating. Am J Appl Math. 2018;6(2):34-41. doi: 10.11648/j.ajam.20180602.12

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@article{10.11648/j.ajam.20180602.12,
  author = {Rasaq Adekunle Kareem and Sulyman Olakunle Salawu and Jacob Abiodun Gbadeyan},
  title = {Numerical Analysis of Non-Uniform Heat Source/Sink in a Radiative Micropolar Variable Electric Conductivity Fluid with Dissipation Joule Heating},
  journal = {American Journal of Applied Mathematics},
  volume = {6},
  number = {2},
  pages = {34-41},
  doi = {10.11648/j.ajam.20180602.12},
  url = {https://doi.org/10.11648/j.ajam.20180602.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20180602.12},
  abstract = {Computational analysis of radiative heat transfer of micropolar variable electric conductivity fluid with a non-even heat source/sink and dissipative joule heating have been carried out in this article. The flow past an inclined plate with an unvarying heat flux is considered. The transformed equations of the flow model are solved by the Runge-Kutta scheme coupled with shooting method to depict the dimensionless temperature, microrotation and velocity at the boundary layer. The results show that the coefficient of the skin friction and the temperature gradient at the wall increases for regular electric conductivity and non-uniform heat sink/source.},
 year = {2018}
}

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TY  - JOUR
T1  - Numerical Analysis of Non-Uniform Heat Source/Sink in a Radiative Micropolar Variable Electric Conductivity Fluid with Dissipation Joule Heating
AU  - Rasaq Adekunle Kareem
AU  - Sulyman Olakunle Salawu
AU  - Jacob Abiodun Gbadeyan
Y1  - 2018/03/26
PY  - 2018
N1  - https://doi.org/10.11648/j.ajam.20180602.12
DO  - 10.11648/j.ajam.20180602.12
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 34
EP  - 41
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20180602.12
AB  - Computational analysis of radiative heat transfer of micropolar variable electric conductivity fluid with a non-even heat source/sink and dissipative joule heating have been carried out in this article. The flow past an inclined plate with an unvarying heat flux is considered. The transformed equations of the flow model are solved by the Runge-Kutta scheme coupled with shooting method to depict the dimensionless temperature, microrotation and velocity at the boundary layer. The results show that the coefficient of the skin friction and the temperature gradient at the wall increases for regular electric conductivity and non-uniform heat sink/source.
VL  - 6
IS  - 2
ER  -

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Author Information

Rasaq Adekunle Kareem

Department of Mathematics, Lagos State Polytechnic, Ikorodu, Nigeria
Sulyman Olakunle Salawu

Department of Mathematics, Landmark University, Omu-aran, Nigeria
Jacob Abiodun Gbadeyan

Department of Mathematics, University of Ilorin, Ilorin, Nigeria

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APA Style

Rasaq Adekunle Kareem, Sulyman Olakunle Salawu, Jacob Abiodun Gbadeyan. (2018). Numerical Analysis of Non-Uniform Heat Source/Sink in a Radiative Micropolar Variable Electric Conductivity Fluid with Dissipation Joule Heating. American Journal of Applied Mathematics, 6(2), 34-41. https://doi.org/10.11648/j.ajam.20180602.12

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ACS Style

Rasaq Adekunle Kareem; Sulyman Olakunle Salawu; Jacob Abiodun Gbadeyan. Numerical Analysis of Non-Uniform Heat Source/Sink in a Radiative Micropolar Variable Electric Conductivity Fluid with Dissipation Joule Heating. Am. J. Appl. Math. 2018, 6(2), 34-41. doi: 10.11648/j.ajam.20180602.12

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AMA Style

Rasaq Adekunle Kareem, Sulyman Olakunle Salawu, Jacob Abiodun Gbadeyan. Numerical Analysis of Non-Uniform Heat Source/Sink in a Radiative Micropolar Variable Electric Conductivity Fluid with Dissipation Joule Heating. Am J Appl Math. 2018;6(2):34-41. doi: 10.11648/j.ajam.20180602.12

Copy | Download

@article{10.11648/j.ajam.20180602.12,
  author = {Rasaq Adekunle Kareem and Sulyman Olakunle Salawu and Jacob Abiodun Gbadeyan},
  title = {Numerical Analysis of Non-Uniform Heat Source/Sink in a Radiative Micropolar Variable Electric Conductivity Fluid with Dissipation Joule Heating},
  journal = {American Journal of Applied Mathematics},
  volume = {6},
  number = {2},
  pages = {34-41},
  doi = {10.11648/j.ajam.20180602.12},
  url = {https://doi.org/10.11648/j.ajam.20180602.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20180602.12},
  abstract = {Computational analysis of radiative heat transfer of micropolar variable electric conductivity fluid with a non-even heat source/sink and dissipative joule heating have been carried out in this article. The flow past an inclined plate with an unvarying heat flux is considered. The transformed equations of the flow model are solved by the Runge-Kutta scheme coupled with shooting method to depict the dimensionless temperature, microrotation and velocity at the boundary layer. The results show that the coefficient of the skin friction and the temperature gradient at the wall increases for regular electric conductivity and non-uniform heat sink/source.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Numerical Analysis of Non-Uniform Heat Source/Sink in a Radiative Micropolar Variable Electric Conductivity Fluid with Dissipation Joule Heating
AU  - Rasaq Adekunle Kareem
AU  - Sulyman Olakunle Salawu
AU  - Jacob Abiodun Gbadeyan
Y1  - 2018/03/26
PY  - 2018
N1  - https://doi.org/10.11648/j.ajam.20180602.12
DO  - 10.11648/j.ajam.20180602.12
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 34
EP  - 41
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20180602.12
AB  - Computational analysis of radiative heat transfer of micropolar variable electric conductivity fluid with a non-even heat source/sink and dissipative joule heating have been carried out in this article. The flow past an inclined plate with an unvarying heat flux is considered. The transformed equations of the flow model are solved by the Runge-Kutta scheme coupled with shooting method to depict the dimensionless temperature, microrotation and velocity at the boundary layer. The results show that the coefficient of the skin friction and the temperature gradient at the wall increases for regular electric conductivity and non-uniform heat sink/source.
VL  - 6
IS  - 2
ER  -

Copy | Download