Investigation of Hydro Magnetic Steady Flow between Two Infinite Parallel Vertical Porous Plates

Kimeu Boniface; Kwanza Jackson; Onyango Thomas

doi:doi:10.11648/j.ajam.20140205.14

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Investigation of Hydro Magnetic Steady Flow between Two Infinite Parallel Vertical Porous Plates

Kimeu Boniface, Kwanza Jackson, Onyango Thomas

Published in American Journal of Applied Mathematics (Volume 2, Issue 5)

Received: 15 September 2014 Accepted: 8 October 2014 Published: 20 October 2014

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Abstract

In this study we consider MHD steady fluid flow between two infinite parallel vertical porous plates with heat transfer. The governing equations considered we reduced to specific form according to the geometry of the studied problem. The non-dimensional governing equations involved in the present analysis are solved using the finite difference technique and the expressions for velocity and temperature distributions have been obtained. The effect of different parameters such as magnetic parameter, Prandtl number, thermal Grashoff number, and the temperature and velocity distributions are discussed.

Published in	American Journal of Applied Mathematics (Volume 2, Issue 5)
DOI	10.11648/j.ajam.20140205.14
Page(s)	170-178
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

Magneto Hydrodynamics, Incompressible Fluid, Transverse, Steady State

References

[1]	I. G. Baoku, C. Israel-Cookey and B. I. Olajuwon, “Magnetic Field And Thermal Radiation Effects on Steady Hydromagnetic Couette Flow Through A Porous Channel,” ISSN. Nigeria, vol. 5, pp. 215–228, 2010.
[2]	U. S. Rajput and P. K. Sahu, “Natural Convection In Unsteady Hydromagnetic Couette Flow Througha Verticalchannel In The Presence Of Thermal Radiation”, Int. J. of Appl. Math and Mech. India, 2012, pp.35–56.
[3]	R. O. Amenya, J. K. Sigey, J. A. Okelo, J. M. Okwoyo, “MHD Free Convection Flow past a Vertical Infinite Porous Plate in the Presence of Transverse Magnetic Field with Constant Heat Flux,” IJSR, vol. 2,October 2013.
[4]	Rao V. V. and Lingaraj T. (1990) Hall Effect in the viscous incompressible flow through a rotating between two porous walls
[5]	Kinyanjui M. Kwanza J.K. Uppal S.M. (2003). MHD stokes free convection flow past an infinite vertical plate subjected to constant heat flux with ion slip current and radiation absorption. Far East Journal of applied mathematics 12 pp105-131.
[6]	Sigey J. Kinyanjui M. and Gatheri J (2004). A numerical study on free convection turbulent heat transfer in an enclosure. JKUAT KENYA
[7]	M. D. Raisinghania, (2006) “Kinematics of fluids in Motion. In Fluid Dynamics with complete Hydrodynamics and boundary layer Theory,” (7th ed., p.29). New Delhi: S. Chand & Company Ltd.
[8]	Okelo J.A (2007). Unsteady free convection incompressible fluid past a semi infinite vertical porous plate in the presence of a strong magnetic fluid inclined at an angle α to the late with Hall and ion slip currents effects JKUAT, Kenya.
[9]	Okwoyo J.M. and Sing C. B. (2008) Couette flow between two parallel infinite plates in the presence of transverse magnetic field, J. Kenya Metrological society 2[2], 99 90-94, University of Nairobi Kenya
[10]	Nyabuto R., Sigey J.K., Okelo J.A. & Okwoyo J.M. (2013) Magneto-Hydrodynamics Analysis of Free Convection Flow between Two Horizontal Parallel Infinite Plates Subjected to Constant Heat Flux. The Standard International Journals, Vol. 1, No. 4.
[11]	Sigey J. Nyundo S, Gatheri K. F, (2012) Magneto hydrodynamic free convective flow past an infinite vertical porous plate in an incompressible electrically conducting fluid, scientific research 2012

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APA Style

Kimeu Boniface, Kwanza Jackson, Onyango Thomas. (2014). Investigation of Hydro Magnetic Steady Flow between Two Infinite Parallel Vertical Porous Plates. American Journal of Applied Mathematics, 2(5), 170-178. https://doi.org/10.11648/j.ajam.20140205.14

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ACS Style

Kimeu Boniface; Kwanza Jackson; Onyango Thomas. Investigation of Hydro Magnetic Steady Flow between Two Infinite Parallel Vertical Porous Plates. Am. J. Appl. Math. 2014, 2(5), 170-178. doi: 10.11648/j.ajam.20140205.14

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AMA Style

Kimeu Boniface, Kwanza Jackson, Onyango Thomas. Investigation of Hydro Magnetic Steady Flow between Two Infinite Parallel Vertical Porous Plates. Am J Appl Math. 2014;2(5):170-178. doi: 10.11648/j.ajam.20140205.14

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@article{10.11648/j.ajam.20140205.14,
  author = {Kimeu Boniface and Kwanza Jackson and Onyango Thomas},
  title = {Investigation of Hydro Magnetic Steady Flow between Two Infinite Parallel Vertical Porous Plates},
  journal = {American Journal of Applied Mathematics},
  volume = {2},
  number = {5},
  pages = {170-178},
  doi = {10.11648/j.ajam.20140205.14},
  url = {https://doi.org/10.11648/j.ajam.20140205.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20140205.14},
  abstract = {In this study we consider MHD steady fluid flow between two infinite parallel vertical porous plates with heat transfer. The governing equations considered we reduced to specific form according to the geometry of the studied problem. The non-dimensional governing equations involved in the present analysis are solved using the finite difference technique and the expressions for velocity and temperature distributions have been obtained. The effect of different parameters such as magnetic parameter, Prandtl number, thermal Grashoff number, and the temperature and velocity distributions are discussed.},
 year = {2014}
}

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TY  - JOUR
T1  - Investigation of Hydro Magnetic Steady Flow between Two Infinite Parallel Vertical Porous Plates
AU  - Kimeu Boniface
AU  - Kwanza Jackson
AU  - Onyango Thomas
Y1  - 2014/10/20
PY  - 2014
N1  - https://doi.org/10.11648/j.ajam.20140205.14
DO  - 10.11648/j.ajam.20140205.14
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 170
EP  - 178
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20140205.14
AB  - In this study we consider MHD steady fluid flow between two infinite parallel vertical porous plates with heat transfer. The governing equations considered we reduced to specific form according to the geometry of the studied problem. The non-dimensional governing equations involved in the present analysis are solved using the finite difference technique and the expressions for velocity and temperature distributions have been obtained. The effect of different parameters such as magnetic parameter, Prandtl number, thermal Grashoff number, and the temperature and velocity distributions are discussed.
VL  - 2
IS  - 5
ER  -

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Author Information

Kimeu Boniface

Mathematics and Computer Science Department, Catholic University of Eastern Africa, Nairobi, Kenya
Kwanza Jackson

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

Industrial and Engineering Mathematics Department, Technical University of Kenya, Nairobi, Kenya

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APA Style

Kimeu Boniface, Kwanza Jackson, Onyango Thomas. (2014). Investigation of Hydro Magnetic Steady Flow between Two Infinite Parallel Vertical Porous Plates. American Journal of Applied Mathematics, 2(5), 170-178. https://doi.org/10.11648/j.ajam.20140205.14

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ACS Style

Kimeu Boniface; Kwanza Jackson; Onyango Thomas. Investigation of Hydro Magnetic Steady Flow between Two Infinite Parallel Vertical Porous Plates. Am. J. Appl. Math. 2014, 2(5), 170-178. doi: 10.11648/j.ajam.20140205.14

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AMA Style

Kimeu Boniface, Kwanza Jackson, Onyango Thomas. Investigation of Hydro Magnetic Steady Flow between Two Infinite Parallel Vertical Porous Plates. Am J Appl Math. 2014;2(5):170-178. doi: 10.11648/j.ajam.20140205.14

Copy | Download

@article{10.11648/j.ajam.20140205.14,
  author = {Kimeu Boniface and Kwanza Jackson and Onyango Thomas},
  title = {Investigation of Hydro Magnetic Steady Flow between Two Infinite Parallel Vertical Porous Plates},
  journal = {American Journal of Applied Mathematics},
  volume = {2},
  number = {5},
  pages = {170-178},
  doi = {10.11648/j.ajam.20140205.14},
  url = {https://doi.org/10.11648/j.ajam.20140205.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20140205.14},
  abstract = {In this study we consider MHD steady fluid flow between two infinite parallel vertical porous plates with heat transfer. The governing equations considered we reduced to specific form according to the geometry of the studied problem. The non-dimensional governing equations involved in the present analysis are solved using the finite difference technique and the expressions for velocity and temperature distributions have been obtained. The effect of different parameters such as magnetic parameter, Prandtl number, thermal Grashoff number, and the temperature and velocity distributions are discussed.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - Investigation of Hydro Magnetic Steady Flow between Two Infinite Parallel Vertical Porous Plates
AU  - Kimeu Boniface
AU  - Kwanza Jackson
AU  - Onyango Thomas
Y1  - 2014/10/20
PY  - 2014
N1  - https://doi.org/10.11648/j.ajam.20140205.14
DO  - 10.11648/j.ajam.20140205.14
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 170
EP  - 178
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20140205.14
AB  - In this study we consider MHD steady fluid flow between two infinite parallel vertical porous plates with heat transfer. The governing equations considered we reduced to specific form according to the geometry of the studied problem. The non-dimensional governing equations involved in the present analysis are solved using the finite difference technique and the expressions for velocity and temperature distributions have been obtained. The effect of different parameters such as magnetic parameter, Prandtl number, thermal Grashoff number, and the temperature and velocity distributions are discussed.
VL  - 2
IS  - 5
ER  -

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