Unsteady MHD Free Convective Flow Past an Inclined Parabolic Accelerated Plate with Hall Current, Radiation Effects and Variable Temperature in a Porous Medium

Gilbert Magiboi Nalisi; Jeconia Abongo Okello; Johana Kibet Sigey; Mark Erick Mwiti Kimathi

doi:doi:10.11648/j.ie.20170101.13

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Unsteady MHD Free Convective Flow Past an Inclined Parabolic Accelerated Plate with Hall Current, Radiation Effects and Variable Temperature in a Porous Medium

Gilbert Magiboi Nalisi, Jeconia Abongo Okello, Johana Kibet Sigey, Mark Erick Mwiti Kimathi

Published in Industrial Engineering (Volume 1, Issue 1)

Received: 21 March 2017 Accepted: 25 April 2017 Published: 4 September 2017

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Abstract

We analyze the effects of hall current and radiation on unsteady hydro magnetic free convection flow of a viscous incompressible electrically conducting fluid past an inclined parabolic accelerated plate in a porous medium by applying a transverse magnetic field which makes an angle α to the inclined plate. The fluid is assumed to be viscous, incompressible and electrically conducting with a strong magnetic field. Using the modified Ohm’s law and the Bossinesq approximation the governing equations of the problem are reduced to local non-similarity boundary layer equations using suitable transformation. The dimensionless governing equations of flow field are solved numerically by Crank-Nicolson finite difference method for different values of governing flow parameters. The velocity and temperature profiles are shown through graphs.

Published in	Industrial Engineering (Volume 1, Issue 1)
DOI	10.11648/j.ie.20170101.13
Page(s)	14-23
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

MHD Free Convection Flows, Heat Transfer, Hall Currents, Radiation, Transverse Magnetic Field, Inclined Parabolic Accelerated Plate, Porous Medium

References

[1]	Kirimi. J. et al (2012) studied Magnetic field and Hall current effect on MHD free convective flow past a vertical rotating plate. Asian Journal of Engineering and maths 1: 6346-354.
[2]	V. Sugunamma, N. Sandeep, P. Mohan Krishna, Ramana Bahunadam (2013) Inclined magnetic field and chemical reaction effects on flow over a semi infinite vertical porous plate through porous media. Communications in Applied Sciences Vol 1 No. 11-24.
[3]	Sarkar B. C. Das. S Jana R. N. (2013) Inclined Magnetic field and Chemical Reaction Effects on Flow over a Semi Infinite Vertical Porous Plate through Porous Medium. Communications in Applied Sciences ISSN 2201-7372 Vol. 1, No. 1, pp. 1-24.
[4]	Murali Gundagani, Sivaiah Sheri, Ajit Pauland M. C. K. Reddy (2013) Unsteady Magnetohydrodynamic Free Convective Flow Past a Vertical Porous Plate. International Journal of Applied Science and Engineering Vol 3 No 11, 267-275.
[5]	Sigey K. Johana, Okelo A. Jeconia, Gatheri K. Francis, Ngesa O. Joel (2013) Magnetohydrodynamic (MHD) Free Convective Flow past an Infinite Vertical Porous Plate with Joule Heating. http://www.scirp.org/journal/am.
[6]	Rogers Omboga Amenya, Johanna Kibet Sigey, Jaconiah Abonyo Okelo, James Mariita Okwoyo (2013) MHD Free Convection Flow past a Vertical Infinite Porous Plate in the Presence of Transverse Magnetic Field with Constant Heat Flux. International Journal of science and research Vol. 2 Issue 10 pp 217-222.
[7]	Amos S. Idowu, Abdulwaheed Jimoh, Funmilayo H. Oyelamiand Moses S. Dada (2014) Numerical solution for therma lradiation effect on inclined magnetic field of MHD free convective Heat transfer dissipative fluid flow past a moving vertical porous plate with variable suction. American Journal of Fluid Dynamics 4(3): pp 91-101.
[8]	A. Neel Armstrong and R. Muthucumaraswamy (2014) Mhd Flow Past A Parabolic Started Vertical Plate With Variable Temperature And Mass Diffusion Journal of Mechanical Engineering and Sciences (JMES) ISSN: 2231-8380; Vol. 7, pp. 1251-1260.
[9]	R. Muthucumaraswamy, and E. Geetha (2014) Effects of parabolic motion on an isothermal vertical plate with constant massflux. Ain Shams Engineering Journal 5, 1317-1323.
[10]	Mohana Ramana R Girish Kumar J. (2015) Viscous dissipation effects on MHD flow past a parabolic started plate with variable temperature and mass diffusion International journal Of Scientific & Engineering Research, Vol. 6, Issue 9, pp 57-62.
[11]	Jyotsna Rani Pattnaik, Gouranga C. D, Suprava. S (2017) Radiation and mass transfer effects on MHD flow through porous medium past an exponentially accelerated inclined plate with variable temperature. Ain Shams Engineering Journal Vol. 8. Issue: 7 pp 67-75.
[12]	Gaurav Kumar Sharma, Lav Kush Kumar, Navneet Kumar Singh (2016) Unsteady Flow through Porous Media Past a Moving Vertical Plate with Variable Temperature in the Presence of Inclined Magnetic Field. International journal of innovative technology and research (ijtr) Vol. No. 4, Issue No. 2, pp 2784–2788.

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APA Style

Gilbert Magiboi Nalisi, Jeconia Abongo Okello, Johana Kibet Sigey, Mark Erick Mwiti Kimathi. (2017). Unsteady MHD Free Convective Flow Past an Inclined Parabolic Accelerated Plate with Hall Current, Radiation Effects and Variable Temperature in a Porous Medium. Industrial Engineering, 1(1), 14-23. https://doi.org/10.11648/j.ie.20170101.13

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ACS Style

Gilbert Magiboi Nalisi; Jeconia Abongo Okello; Johana Kibet Sigey; Mark Erick Mwiti Kimathi. Unsteady MHD Free Convective Flow Past an Inclined Parabolic Accelerated Plate with Hall Current, Radiation Effects and Variable Temperature in a Porous Medium. Ind. Eng. 2017, 1(1), 14-23. doi: 10.11648/j.ie.20170101.13

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AMA Style

Gilbert Magiboi Nalisi, Jeconia Abongo Okello, Johana Kibet Sigey, Mark Erick Mwiti Kimathi. Unsteady MHD Free Convective Flow Past an Inclined Parabolic Accelerated Plate with Hall Current, Radiation Effects and Variable Temperature in a Porous Medium. Ind Eng. 2017;1(1):14-23. doi: 10.11648/j.ie.20170101.13

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@article{10.11648/j.ie.20170101.13,
  author = {Gilbert Magiboi Nalisi and Jeconia Abongo Okello and Johana Kibet Sigey and Mark Erick Mwiti Kimathi},
  title = {Unsteady MHD Free Convective Flow Past an Inclined Parabolic Accelerated Plate with Hall Current, Radiation Effects and Variable Temperature in a Porous Medium},
  journal = {Industrial Engineering},
  volume = {1},
  number = {1},
  pages = {14-23},
  doi = {10.11648/j.ie.20170101.13},
  url = {https://doi.org/10.11648/j.ie.20170101.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ie.20170101.13},
  abstract = {We analyze the effects of hall current and radiation on unsteady hydro magnetic free convection flow of a viscous incompressible electrically conducting fluid past an inclined parabolic accelerated plate in a porous medium by applying a transverse magnetic field which makes an angle α to the inclined plate. The fluid is assumed to be viscous, incompressible and electrically conducting with a strong magnetic field. Using the modified Ohm’s law and the Bossinesq approximation the governing equations of the problem are reduced to local non-similarity boundary layer equations using suitable transformation. The dimensionless governing equations of flow field are solved numerically by Crank-Nicolson finite difference method for different values of governing flow parameters. The velocity and temperature profiles are shown through graphs.},
 year = {2017}
}

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TY  - JOUR
T1  - Unsteady MHD Free Convective Flow Past an Inclined Parabolic Accelerated Plate with Hall Current, Radiation Effects and Variable Temperature in a Porous Medium
AU  - Gilbert Magiboi Nalisi
AU  - Jeconia Abongo Okello
AU  - Johana Kibet Sigey
AU  - Mark Erick Mwiti Kimathi
Y1  - 2017/09/04
PY  - 2017
N1  - https://doi.org/10.11648/j.ie.20170101.13
DO  - 10.11648/j.ie.20170101.13
T2  - Industrial Engineering
JF  - Industrial Engineering
JO  - Industrial Engineering
SP  - 14
EP  - 23
PB  - Science Publishing Group
SN  - 2640-1118
UR  - https://doi.org/10.11648/j.ie.20170101.13
AB  - We analyze the effects of hall current and radiation on unsteady hydro magnetic free convection flow of a viscous incompressible electrically conducting fluid past an inclined parabolic accelerated plate in a porous medium by applying a transverse magnetic field which makes an angle α to the inclined plate. The fluid is assumed to be viscous, incompressible and electrically conducting with a strong magnetic field. Using the modified Ohm’s law and the Bossinesq approximation the governing equations of the problem are reduced to local non-similarity boundary layer equations using suitable transformation. The dimensionless governing equations of flow field are solved numerically by Crank-Nicolson finite difference method for different values of governing flow parameters. The velocity and temperature profiles are shown through graphs.
VL  - 1
IS  - 1
ER  -

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Author Information

Gilbert Magiboi Nalisi

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

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

Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya
Mark Erick Mwiti Kimathi

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

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Plain Text BibTeX RIS

APA Style

Gilbert Magiboi Nalisi, Jeconia Abongo Okello, Johana Kibet Sigey, Mark Erick Mwiti Kimathi. (2017). Unsteady MHD Free Convective Flow Past an Inclined Parabolic Accelerated Plate with Hall Current, Radiation Effects and Variable Temperature in a Porous Medium. Industrial Engineering, 1(1), 14-23. https://doi.org/10.11648/j.ie.20170101.13

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ACS Style

Gilbert Magiboi Nalisi; Jeconia Abongo Okello; Johana Kibet Sigey; Mark Erick Mwiti Kimathi. Unsteady MHD Free Convective Flow Past an Inclined Parabolic Accelerated Plate with Hall Current, Radiation Effects and Variable Temperature in a Porous Medium. Ind. Eng. 2017, 1(1), 14-23. doi: 10.11648/j.ie.20170101.13

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AMA Style

Gilbert Magiboi Nalisi, Jeconia Abongo Okello, Johana Kibet Sigey, Mark Erick Mwiti Kimathi. Unsteady MHD Free Convective Flow Past an Inclined Parabolic Accelerated Plate with Hall Current, Radiation Effects and Variable Temperature in a Porous Medium. Ind Eng. 2017;1(1):14-23. doi: 10.11648/j.ie.20170101.13

Copy | Download

@article{10.11648/j.ie.20170101.13,
  author = {Gilbert Magiboi Nalisi and Jeconia Abongo Okello and Johana Kibet Sigey and Mark Erick Mwiti Kimathi},
  title = {Unsteady MHD Free Convective Flow Past an Inclined Parabolic Accelerated Plate with Hall Current, Radiation Effects and Variable Temperature in a Porous Medium},
  journal = {Industrial Engineering},
  volume = {1},
  number = {1},
  pages = {14-23},
  doi = {10.11648/j.ie.20170101.13},
  url = {https://doi.org/10.11648/j.ie.20170101.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ie.20170101.13},
  abstract = {We analyze the effects of hall current and radiation on unsteady hydro magnetic free convection flow of a viscous incompressible electrically conducting fluid past an inclined parabolic accelerated plate in a porous medium by applying a transverse magnetic field which makes an angle α to the inclined plate. The fluid is assumed to be viscous, incompressible and electrically conducting with a strong magnetic field. Using the modified Ohm’s law and the Bossinesq approximation the governing equations of the problem are reduced to local non-similarity boundary layer equations using suitable transformation. The dimensionless governing equations of flow field are solved numerically by Crank-Nicolson finite difference method for different values of governing flow parameters. The velocity and temperature profiles are shown through graphs.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Unsteady MHD Free Convective Flow Past an Inclined Parabolic Accelerated Plate with Hall Current, Radiation Effects and Variable Temperature in a Porous Medium
AU  - Gilbert Magiboi Nalisi
AU  - Jeconia Abongo Okello
AU  - Johana Kibet Sigey
AU  - Mark Erick Mwiti Kimathi
Y1  - 2017/09/04
PY  - 2017
N1  - https://doi.org/10.11648/j.ie.20170101.13
DO  - 10.11648/j.ie.20170101.13
T2  - Industrial Engineering
JF  - Industrial Engineering
JO  - Industrial Engineering
SP  - 14
EP  - 23
PB  - Science Publishing Group
SN  - 2640-1118
UR  - https://doi.org/10.11648/j.ie.20170101.13
AB  - We analyze the effects of hall current and radiation on unsteady hydro magnetic free convection flow of a viscous incompressible electrically conducting fluid past an inclined parabolic accelerated plate in a porous medium by applying a transverse magnetic field which makes an angle α to the inclined plate. The fluid is assumed to be viscous, incompressible and electrically conducting with a strong magnetic field. Using the modified Ohm’s law and the Bossinesq approximation the governing equations of the problem are reduced to local non-similarity boundary layer equations using suitable transformation. The dimensionless governing equations of flow field are solved numerically by Crank-Nicolson finite difference method for different values of governing flow parameters. The velocity and temperature profiles are shown through graphs.
VL  - 1
IS  - 1
ER  -

Copy | Download