Analysis of Turbulent Hydromagnetic Flow with Radiative Heat over a Moving Vertical Plate in a Rotating System

Dawit H. Gebre; O. D. Makinde; M. Kinyanjui

doi:doi:10.11648/j.acm.20140303.15

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Analysis of Turbulent Hydromagnetic Flow with Radiative Heat over a Moving Vertical Plate in a Rotating System

Dawit H. Gebre, O. D. Makinde, M. Kinyanjui

Published in Applied and Computational Mathematics (Volume 3, Issue 3)

Received: 12 June 2014 Accepted: 24 June 2014 Published: 30 June 2014

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Abstract

In this paper, the combined effects of magnetic fields, buoyancy force, thermal radiation, viscous and Ohmic heating on turbulent hydromagnetic flow of an incompressible electrically conducting fluid over a moving vertical plate in a rotating system is investigated numerically. The governing equations are reduced to non-linear ordinary differential equations using the time-averaged approach known as Reynolds-averaged Navier–Stokes equations (or RANS equations) and tackled by employing an efficient Runge-Kutta Fehlberg integration technique coupled with shooting scheme. Graphical results showing the effects of various thermophysical parameters on the velocity, temperature, local skin friction and local Nusselt number are presented and discussed quantitatively.

Published in	Applied and Computational Mathematics (Volume 3, Issue 3)
DOI	10.11648/j.acm.20140303.15
Page(s)	100-109
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

Turbulent Flow, Magnetohydrodynamics (MHD), Radiative Heat, Time Averaging, Rotating System

References

[1]	Narasimha R., Rudra Kumar S., Prabhu A., Kailas S.V. (2007). Turbulent flux events in a nearly neutral atmospheric boundary layer. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Phil Trans R Soc Ser A, Vol. 365, pp. 841–858) 365 (1852): 841–858.
[2]	Trevethan M, Chanson H (2010). Turbulence and turbulent flux events in a small estuary. Environmental Fluid Mechanics, Vol. 10, pp. 345-368) 10 (3): 345–368
[3]	Avila K., Moxey D., de Lozar A., Avila M., Barkley D., Hof B.( 2011). The onset of turbulence in pipe flow. Science 333 (6039): 192–196.
[4]	Makinde O. D., Khan W. A., Khan Z. H. (2013). Buoyancy effects on MHD stagnation point flow and heat transfer of a nanofluid past a convectively heated stretching/shrinking sheet. International Journal of Heat and Mass Transfer 62, 526-533.
[5]	Seini Y. I., Makinde O. D. (2013). MHD boundary layer due to exponentially stretching surface with radiation and chemical reaction. Mathematical Problems in Engineering, Volume 2013, 163614(7 pages).
[6]	Nandkeolyar R., Seth G. S., Makinde O. D., Sibanda P., Ansari M. S. (2013). Unsteady hydromagnetic natural convection flow of a dusty fluid past an impulsively moving vertical plate with ramped temperature in the presence of thermal radiation. ASME-Journal of Applied Mechanics- Vol. 80, 061003(1-9).
[7]	Burr, U., Barleon, L., Muller, U., Tsinober, A. (2000) Turbulent transport of momentum and heat in magnetohydrodynamic rectangular duct flow with strong sidewall jets. J. Fluid Mech. 406, 247-279.
[8]	Ji, H.-C., Gardner, R. A. (1997). Numerical analysis of turbulent pipe flow in a transverse magnetic field. Int. J. Heat Mass Trans., 40, 1839-1851.
[9]	Kenjeres, S., Hanjalic, K. (2000). On the implementation of effects of Lorentz force in turbulence closure models. Int. J. Heat Fluid Flow, 21, 329-337.
[10]	Kitamura, K., Hirata, M. (1978). Turbulent heat and momentum transfer for electrically conducting fluid owing in two-dimensional channel under transverse magnetic field. Proc. 6th Int. Heat Transfer Conf., Toronto, Canada, 3, 159.
[11]	Knaepen, B., Moin, P. (2004). Large-eddy simulation of conductive flows at low magnetic Reynolds number. Phys. Fluids, 16, 1255-1261.
[12]	Kobayashi, H. (2006). Large eddy simulation of magnetohydrodynamic turbulent channel flows with local subgrid-scale model based on coherent structures. Phys. Fluids, 18, 045107.
[13]	Cogley A. C., Vincent W. G., Giles S. E. (1968) Differential approximation to radiative heat transfer in a non-grey gas near equilibrium. AIAA J, 6:551-553.
[14]	Makinde O. D., Tshehla M. S. (2014). Unsteady hydromagnetic flow of radiating fluid past a convectively heated vertical plate with the Navier slip. Advances in Mathematical Physics, Volume 2014, Article ID 973593, 10 pages.
[15]	Aboeldahab E. M., EI Gendy M. S. (2002), Radiation effect on MHD free convective flow of a gas past a semi-infinite vertical plate with variable thermo physical properties for high-temperature difference, Can. J. Phys., 80, 1609-1619.
[16]	Ishak A. (2011), MHD boundary layer flow due to an exponentially stretching sheet with radiation effect, Sains Malaysiana, 40, 391-395.
[17]	Seth G.S., Nadkeolyar R., Ansari M. S (2012). Effects of Hall current and Rotation on Unsteady MHD couette flow in the presence of an Inclined Magnetic field. Journal of Applied Fluid Mechanics 5: 67-74.
[18]	Kinyanjui M., Emmah M., Jackson K. (2012). Hydro-magnetic turbulence flow of rotating system past a semi-infinite vertical plate with hall current. International Journal of pure and Applied mathematics Vol. 79, No. 1 97-119.
[19]	Marchello J. M., Toor H. L. (1963). A mixing model for transfer near a boundary. Ind. Eng. Chem. Fund., 2, 1, 8.
[20]	Bejan, A. (1995). Convection Heat Transfer. Second Edition. John Wiley & Sons Inc.: New York, New York.

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APA Style

Dawit H. Gebre, O. D. Makinde, M. Kinyanjui. (2014). Analysis of Turbulent Hydromagnetic Flow with Radiative Heat over a Moving Vertical Plate in a Rotating System. Applied and Computational Mathematics, 3(3), 100-109. https://doi.org/10.11648/j.acm.20140303.15

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ACS Style

Dawit H. Gebre; O. D. Makinde; M. Kinyanjui. Analysis of Turbulent Hydromagnetic Flow with Radiative Heat over a Moving Vertical Plate in a Rotating System. Appl. Comput. Math. 2014, 3(3), 100-109. doi: 10.11648/j.acm.20140303.15

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AMA Style

Dawit H. Gebre, O. D. Makinde, M. Kinyanjui. Analysis of Turbulent Hydromagnetic Flow with Radiative Heat over a Moving Vertical Plate in a Rotating System. Appl Comput Math. 2014;3(3):100-109. doi: 10.11648/j.acm.20140303.15

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@article{10.11648/j.acm.20140303.15,
  author = {Dawit H. Gebre and O. D. Makinde and M. Kinyanjui},
  title = {Analysis of Turbulent Hydromagnetic Flow with Radiative Heat over a Moving Vertical Plate in a Rotating System},
  journal = {Applied and Computational Mathematics},
  volume = {3},
  number = {3},
  pages = {100-109},
  doi = {10.11648/j.acm.20140303.15},
  url = {https://doi.org/10.11648/j.acm.20140303.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20140303.15},
  abstract = {In this paper, the combined effects of magnetic fields, buoyancy force, thermal radiation, viscous and Ohmic heating on turbulent hydromagnetic flow of an incompressible electrically conducting fluid over a moving vertical plate in a rotating system is investigated numerically. The governing equations are reduced to non-linear ordinary differential equations using the time-averaged approach known as Reynolds-averaged Navier–Stokes equations (or RANS equations) and tackled by employing an efficient Runge-Kutta Fehlberg integration technique coupled with shooting scheme. Graphical results showing the effects of various thermophysical parameters on the velocity, temperature, local skin friction and local Nusselt number are presented and discussed quantitatively.},
 year = {2014}
}

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TY  - JOUR
T1  - Analysis of Turbulent Hydromagnetic Flow with Radiative Heat over a Moving Vertical Plate in a Rotating System
AU  - Dawit H. Gebre
AU  - O. D. Makinde
AU  - M. Kinyanjui
Y1  - 2014/06/30
PY  - 2014
N1  - https://doi.org/10.11648/j.acm.20140303.15
DO  - 10.11648/j.acm.20140303.15
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 100
EP  - 109
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20140303.15
AB  - In this paper, the combined effects of magnetic fields, buoyancy force, thermal radiation, viscous and Ohmic heating on turbulent hydromagnetic flow of an incompressible electrically conducting fluid over a moving vertical plate in a rotating system is investigated numerically. The governing equations are reduced to non-linear ordinary differential equations using the time-averaged approach known as Reynolds-averaged Navier–Stokes equations (or RANS equations) and tackled by employing an efficient Runge-Kutta Fehlberg integration technique coupled with shooting scheme. Graphical results showing the effects of various thermophysical parameters on the velocity, temperature, local skin friction and local Nusselt number are presented and discussed quantitatively.
VL  - 3
IS  - 3
ER  -

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Author Information

Dawit H. Gebre

Pan African University Institute of Basic Sciences, Technology and Innovation Department of Computational Mathematics, Nairobi, Kenya
O. D. Makinde

Faculty of Military Science, Stellenbosch University, Private Bag x2, saldanha 7395, South Africa
M. Kinyanjui

Jomo Kenyatta University of Agriculture and Technology, Department of Pure and Applied Mathematics, Nairobi, Kenya

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APA Style

Dawit H. Gebre, O. D. Makinde, M. Kinyanjui. (2014). Analysis of Turbulent Hydromagnetic Flow with Radiative Heat over a Moving Vertical Plate in a Rotating System. Applied and Computational Mathematics, 3(3), 100-109. https://doi.org/10.11648/j.acm.20140303.15

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ACS Style

Dawit H. Gebre; O. D. Makinde; M. Kinyanjui. Analysis of Turbulent Hydromagnetic Flow with Radiative Heat over a Moving Vertical Plate in a Rotating System. Appl. Comput. Math. 2014, 3(3), 100-109. doi: 10.11648/j.acm.20140303.15

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AMA Style

Dawit H. Gebre, O. D. Makinde, M. Kinyanjui. Analysis of Turbulent Hydromagnetic Flow with Radiative Heat over a Moving Vertical Plate in a Rotating System. Appl Comput Math. 2014;3(3):100-109. doi: 10.11648/j.acm.20140303.15

Copy | Download

@article{10.11648/j.acm.20140303.15,
  author = {Dawit H. Gebre and O. D. Makinde and M. Kinyanjui},
  title = {Analysis of Turbulent Hydromagnetic Flow with Radiative Heat over a Moving Vertical Plate in a Rotating System},
  journal = {Applied and Computational Mathematics},
  volume = {3},
  number = {3},
  pages = {100-109},
  doi = {10.11648/j.acm.20140303.15},
  url = {https://doi.org/10.11648/j.acm.20140303.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20140303.15},
  abstract = {In this paper, the combined effects of magnetic fields, buoyancy force, thermal radiation, viscous and Ohmic heating on turbulent hydromagnetic flow of an incompressible electrically conducting fluid over a moving vertical plate in a rotating system is investigated numerically. The governing equations are reduced to non-linear ordinary differential equations using the time-averaged approach known as Reynolds-averaged Navier–Stokes equations (or RANS equations) and tackled by employing an efficient Runge-Kutta Fehlberg integration technique coupled with shooting scheme. Graphical results showing the effects of various thermophysical parameters on the velocity, temperature, local skin friction and local Nusselt number are presented and discussed quantitatively.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - Analysis of Turbulent Hydromagnetic Flow with Radiative Heat over a Moving Vertical Plate in a Rotating System
AU  - Dawit H. Gebre
AU  - O. D. Makinde
AU  - M. Kinyanjui
Y1  - 2014/06/30
PY  - 2014
N1  - https://doi.org/10.11648/j.acm.20140303.15
DO  - 10.11648/j.acm.20140303.15
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 100
EP  - 109
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20140303.15
AB  - In this paper, the combined effects of magnetic fields, buoyancy force, thermal radiation, viscous and Ohmic heating on turbulent hydromagnetic flow of an incompressible electrically conducting fluid over a moving vertical plate in a rotating system is investigated numerically. The governing equations are reduced to non-linear ordinary differential equations using the time-averaged approach known as Reynolds-averaged Navier–Stokes equations (or RANS equations) and tackled by employing an efficient Runge-Kutta Fehlberg integration technique coupled with shooting scheme. Graphical results showing the effects of various thermophysical parameters on the velocity, temperature, local skin friction and local Nusselt number are presented and discussed quantitatively.
VL  - 3
IS  - 3
ER  -

Copy | Download