Hydromagnetic Turbulent Flow Between Two Parallel Infinite Plates

Kennedy John Mwangi Karimi; Dickson Kande Kinyua

doi:doi:10.11648/j.sjams.20170501.15

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Hydromagnetic Turbulent Flow Between Two Parallel Infinite Plates

Kennedy John Mwangi Karimi, Dickson Kande Kinyua

Published in Science Journal of Applied Mathematics and Statistics (Volume 5, Issue 1)

Received: 28 September 2016 Accepted: 10 November 2016 Published: 21 January 2017

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Abstract

In this study we shall investigate hydromagnetic turbulent unsteady flow of an incompressible electrically conducting fluid between two parallel infinite plates. The flow variables such as velocity and thermodynamic properties at every point of fluid vary with respect to time. The effect of an applied transverse magnetic field normal to the main flow direction on the dynamic behavior of the fluid when the lower plate is stationary and the upper plate is impulsively started in opposite direction at constant velocity shall be investigated. Further, we shall investigate how the various parameters such as Peclet Number and Eckert Number affect the flow; in particular, velocity and temperature profiles. A finite difference method shall be used to solve the coupled non-liner and dimensionless partial differential equations governing this problem.

Published in	Science Journal of Applied Mathematics and Statistics (Volume 5, Issue 1)
DOI	10.11648/j.sjams.20170501.15
Page(s)	31-40
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

Magnetohydrodynamics, Incompressible, Dimensionalization, Temperature Profiles

References

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[2]	Bhaskara, S & Bathaiah, V. (1980). “MHD flow of a viscous incompressible and slightly conducting fluid between a parallel flat wall and a wavy wall” International Journal of Heat and Mass Transfer, Volume 32, Issues 13-14, Pages 1390-1395.
[3]	Betil, F. D. (2007). “Magneto hydrodynamics’’ Scholarpedia 2(4): 2295 pp1-5.
[4]	Calvert, J. B. (2002). “Magnetohydrodynamics” New York: Inter science.
[5]	Chandra, S. V. (2005) “MHD flow of an electrically conducting fluid between two parallel infinite plates when the upper plate is made to move with constant velocity while the lower plate is stationary” International Journal of Heat and Mass Transfer, Volume 52, Issues 13-14, Pages 3390-3395.
[6]	Chaturvedi, N. (1996). “MHD flow past an infinite porous plate with variable suction” Energy Conversion and Management, Volume 37, Issue 5, P p 623-627.
[7]	Cowling, T. G. (1957). “Magnetohydrodynamics,” New York: Interscience.
[8]	Denis, R. (1980). Encyclopedia of agricultural, food, and biological engineering pp 560-568.
[9]	Faraday, M. (1831). “Experimental Researches in Chemistry and Physics”. London: Richard Taylor and William Francis. pp. 33–53.
[10]	Gupta, V., & Gupta, S. K. (1991). “Fluid mechanics and its applications,” Wiley Eastern Limited, New Delhi, India pp 100-102
[11]	Hartman, J, & Lazarus, F. (1937). “Experimental investigations on the flow of mercury in a homogeneous magnetic field” pp 1-5.
[12]	Kalyuit, M. N. (1986). “Development of the flow field of an electrically conducting fluid in an inhomogeneous magnetic field” Reed Educational and Professional Publishing Ltd, pp29-35.
[13]	Kinyanjui, M., Chaturvedi, N., & Uppal, S. M. (1998). “MHD stokes problem for a vertical infinite plate in a dissipative rotating fluid with a hall current” Energy Conversion and Management, Volume 39, Issues 5-6, Pages 541-548
[14]	Kinyanjui, M, Kwanza, J. K., & Uppal S. M. (2001). “Magnetohydrodynamic free convection heat and mass transfer of a heat generating fluid past an impulsively started infinite vertical porous plate with Hall current and radiation absorption” Energy Conversion and Management, Volume 42, Issue 8, Pages 917-931.
[15]	Kumar, A. S., Singh, N. P., Singh, U., & Singh, H. (2009). “Convective flow past an accelerated porous plate in rotating system in presence of magnetic field” International Journal of Heat and Mass Transfer, Volume 52, Issues 13-14, Pages 3390-3395.
[16]	Jackson, J. D. (1975). “Classical Electrodynamics,” second edition pp 1-5.
[17]	Landau, L. D., & Lifshitz, E. M. (1982). “Fluid Mechanics,” Reed Educational and Professional Publishing Ltd, pp 129-135.
[18]	Molokov, S. Y., & Allen, J. E. (1992). J. phys. D: Appl. phys.25, pp 395-400.
[19]	Plumpton, F. (1961). “An introduction to Magnetofluid Mechanics” Oxford University Press.
[20]	Rossow, V. J. (1958): NASA Report No.1358.
[21]	Samiulhaq, Khan I, Ali F, Shafie S (2012). “MHD free convection flow in a porous medium with thermal diffusion and ramped wall temperature”. J Phys Soc Jpn 81: 4401.
[22]	Stewartson, K. (1951): Quart. J. Mcch. Appl. Math. 4,182.
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[24]	Walker, J. S. (1971). “Liquid metal flow through a thin walled elbow in a plane perpendicular to a uniform magnetic field” International Journal of Engineering Science, Volume 24, Issue 11, Pages 1741-1754.

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APA Style

Kennedy John Mwangi Karimi, Dickson Kande Kinyua. (2017). Hydromagnetic Turbulent Flow Between Two Parallel Infinite Plates. Science Journal of Applied Mathematics and Statistics, 5(1), 31-40. https://doi.org/10.11648/j.sjams.20170501.15

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ACS Style

Kennedy John Mwangi Karimi; Dickson Kande Kinyua. Hydromagnetic Turbulent Flow Between Two Parallel Infinite Plates. Sci. J. Appl. Math. Stat. 2017, 5(1), 31-40. doi: 10.11648/j.sjams.20170501.15

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AMA Style

Kennedy John Mwangi Karimi, Dickson Kande Kinyua. Hydromagnetic Turbulent Flow Between Two Parallel Infinite Plates. Sci J Appl Math Stat. 2017;5(1):31-40. doi: 10.11648/j.sjams.20170501.15

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@article{10.11648/j.sjams.20170501.15,
  author = {Kennedy John Mwangi Karimi and Dickson Kande Kinyua},
  title = {Hydromagnetic Turbulent Flow Between Two Parallel Infinite Plates},
  journal = {Science Journal of Applied Mathematics and Statistics},
  volume = {5},
  number = {1},
  pages = {31-40},
  doi = {10.11648/j.sjams.20170501.15},
  url = {https://doi.org/10.11648/j.sjams.20170501.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20170501.15},
  abstract = {In this study we shall investigate hydromagnetic turbulent unsteady flow of an incompressible electrically conducting fluid between two parallel infinite plates. The flow variables such as velocity and thermodynamic properties at every point of fluid vary with respect to time. The effect of an applied transverse magnetic field normal to the main flow direction on the dynamic behavior of the fluid when the lower plate is stationary and the upper plate is impulsively started in opposite direction at constant velocity shall be investigated. Further, we shall investigate how the various parameters such as Peclet Number and Eckert Number affect the flow; in particular, velocity and temperature profiles. A finite difference method shall be used to solve the coupled non-liner and dimensionless partial differential equations governing this problem.},
 year = {2017}
}

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TY  - JOUR
T1  - Hydromagnetic Turbulent Flow Between Two Parallel Infinite Plates
AU  - Kennedy John Mwangi Karimi
AU  - Dickson Kande Kinyua
Y1  - 2017/01/21
PY  - 2017
N1  - https://doi.org/10.11648/j.sjams.20170501.15
DO  - 10.11648/j.sjams.20170501.15
T2  - Science Journal of Applied Mathematics and Statistics
JF  - Science Journal of Applied Mathematics and Statistics
JO  - Science Journal of Applied Mathematics and Statistics
SP  - 31
EP  - 40
PB  - Science Publishing Group
SN  - 2376-9513
UR  - https://doi.org/10.11648/j.sjams.20170501.15
AB  - In this study we shall investigate hydromagnetic turbulent unsteady flow of an incompressible electrically conducting fluid between two parallel infinite plates. The flow variables such as velocity and thermodynamic properties at every point of fluid vary with respect to time. The effect of an applied transverse magnetic field normal to the main flow direction on the dynamic behavior of the fluid when the lower plate is stationary and the upper plate is impulsively started in opposite direction at constant velocity shall be investigated. Further, we shall investigate how the various parameters such as Peclet Number and Eckert Number affect the flow; in particular, velocity and temperature profiles. A finite difference method shall be used to solve the coupled non-liner and dimensionless partial differential equations governing this problem.
VL  - 5
IS  - 1
ER  -

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Author Information

Kennedy John Mwangi Karimi

School of Pure and Applied Sciences, Karatina University, Karatina, Kenya
Dickson Kande Kinyua

School of Pure and Applied Sciences, Karatina University, Karatina, Kenya

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APA Style

Kennedy John Mwangi Karimi, Dickson Kande Kinyua. (2017). Hydromagnetic Turbulent Flow Between Two Parallel Infinite Plates. Science Journal of Applied Mathematics and Statistics, 5(1), 31-40. https://doi.org/10.11648/j.sjams.20170501.15

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ACS Style

Kennedy John Mwangi Karimi; Dickson Kande Kinyua. Hydromagnetic Turbulent Flow Between Two Parallel Infinite Plates. Sci. J. Appl. Math. Stat. 2017, 5(1), 31-40. doi: 10.11648/j.sjams.20170501.15

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AMA Style

Kennedy John Mwangi Karimi, Dickson Kande Kinyua. Hydromagnetic Turbulent Flow Between Two Parallel Infinite Plates. Sci J Appl Math Stat. 2017;5(1):31-40. doi: 10.11648/j.sjams.20170501.15

Copy | Download

@article{10.11648/j.sjams.20170501.15,
  author = {Kennedy John Mwangi Karimi and Dickson Kande Kinyua},
  title = {Hydromagnetic Turbulent Flow Between Two Parallel Infinite Plates},
  journal = {Science Journal of Applied Mathematics and Statistics},
  volume = {5},
  number = {1},
  pages = {31-40},
  doi = {10.11648/j.sjams.20170501.15},
  url = {https://doi.org/10.11648/j.sjams.20170501.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20170501.15},
  abstract = {In this study we shall investigate hydromagnetic turbulent unsteady flow of an incompressible electrically conducting fluid between two parallel infinite plates. The flow variables such as velocity and thermodynamic properties at every point of fluid vary with respect to time. The effect of an applied transverse magnetic field normal to the main flow direction on the dynamic behavior of the fluid when the lower plate is stationary and the upper plate is impulsively started in opposite direction at constant velocity shall be investigated. Further, we shall investigate how the various parameters such as Peclet Number and Eckert Number affect the flow; in particular, velocity and temperature profiles. A finite difference method shall be used to solve the coupled non-liner and dimensionless partial differential equations governing this problem.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Hydromagnetic Turbulent Flow Between Two Parallel Infinite Plates
AU  - Kennedy John Mwangi Karimi
AU  - Dickson Kande Kinyua
Y1  - 2017/01/21
PY  - 2017
N1  - https://doi.org/10.11648/j.sjams.20170501.15
DO  - 10.11648/j.sjams.20170501.15
T2  - Science Journal of Applied Mathematics and Statistics
JF  - Science Journal of Applied Mathematics and Statistics
JO  - Science Journal of Applied Mathematics and Statistics
SP  - 31
EP  - 40
PB  - Science Publishing Group
SN  - 2376-9513
UR  - https://doi.org/10.11648/j.sjams.20170501.15
AB  - In this study we shall investigate hydromagnetic turbulent unsteady flow of an incompressible electrically conducting fluid between two parallel infinite plates. The flow variables such as velocity and thermodynamic properties at every point of fluid vary with respect to time. The effect of an applied transverse magnetic field normal to the main flow direction on the dynamic behavior of the fluid when the lower plate is stationary and the upper plate is impulsively started in opposite direction at constant velocity shall be investigated. Further, we shall investigate how the various parameters such as Peclet Number and Eckert Number affect the flow; in particular, velocity and temperature profiles. A finite difference method shall be used to solve the coupled non-liner and dimensionless partial differential equations governing this problem.
VL  - 5
IS  - 1
ER  -

Copy | Download