Hydrodynamic Radiating Fluid Flow Past an Infinite Vertical Porous Plate in Presence of Chemical Reaction and Induced Magnetic Field

Kibet Kiprop; Mathew Ngugi Kinyanjui; Jackson Kioko Kwanza

doi:doi:10.11648/j.ajam.20160402.11

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Hydrodynamic Radiating Fluid Flow Past an Infinite Vertical Porous Plate in Presence of Chemical Reaction and Induced Magnetic Field

Kibet Kiprop, Mathew Ngugi Kinyanjui, Jackson Kioko Kwanza

Published in American Journal of Applied Mathematics (Volume 4, Issue 2)

Received: 26 January 2016 Accepted: 24 February 2016 Published: 6 March 2016

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Abstract

An investigation of the unsteady magnetohydrodynamic fluid flow with heat and mass transfer of a viscous, incompressible, electrically conducting and Newtonian fluid past a vertical plate embedded in a porous medium taking into account induced magnetic field, first order chemical reaction and thermal radiation effect is carried out. The dimensionless governing coupled, non-linear boundary layer partial differential equations are solved by an efficient and unconditionally stable finite difference scheme of the Crank-Nicholson type. A computer software is used to iteratively solve the partial differential equations. The numerical solutions for fluid velocity, induced magnetic field, species concentration and fluid temperatures are depicted graphically. The effect of various non-dimensional parameters on the fluid flow profiles are discussed and physical interpretation given. Applications of the study include laminar magneto aerodynamics, materials processing and MHD propulsion thermo-fluid dynamics.

Published in	American Journal of Applied Mathematics (Volume 4, Issue 2)
DOI	10.11648/j.ajam.20160402.11
Page(s)	62-74
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), 2016. Published by Science Publishing Group

Keywords

Magnetohydrodynamic (MHD), Injection, Vertical Plate, Heat and Mass Transfer

References

[1]	Huges, W. F., Yong, F. J. The electro-Magneto-Dynamics of fluids, John Wiley & Sons, New york, USA, 1966.
[2]	Sacheti, N. C., Chandraan, P., Singh, A. K. Int. Comm., Heat Mass Transfer, 21, 1, 131–142, 1994.
[3]	Takar, H. S., Gorla, R. S. R. and Soundalgekar, V. M. Int. J. Numerical Methods for Heat & Fluid Flow, 6, 77–83, 1996.
[4]	Abd-El-Naby M. A., Elasayed M. E., Elbarbary Nader Y. and Abdelzem. J. Appl. Math, 2, 65–86, 2003.
[5]	Ramachandra Prasad, V., Bhaskar Reddy, N. and Muthucumaraswamy, R. J. Appl. Theo. Mech., 33, 31–63, 2006.
[6]	Samaria, N. K., Reddy, M. U. S., Prasad, R. and Gupta. H. N. Springer Link, 179, 1, 2004.
[7]	Sreehari Reddy, P., Nagarajan, A. S. and Sivaiah, M. Journal of Naval Architecture and Marine Engng, 2, 47–56, 2008.
[8]	Israel – cookey, C., Ogulu, A., Omubo – Pepple, V. M., Int. J. Heat Mass Transfer, 46, 13, 2305–2311, 2003.
[9]	Zueco Jordan, J., Appl. Math. Modeling, 31, 20, 2019–2033, 2007.
[10]	Suneetha, S., Bhaskar Reddy, N., Ramachandra Prasad, V. Thermal Science, 13, 2, 71–181, 2009.
[11]	Hitesh Kumar, Thermal Science 13, 2, 163–169, 2009.
[12]	U. N. Das, R. Deka, V. M. Soundalgekar, Forsch. Ingenieurwes., 60, pp. 284–287, 1994.
[13]	R. Kandasamy, K. Periasamy, K. K. S. Prabhu. Int. J. Heat Mass Transfer, V48, pp. 4557-4561, 2005.
[14]	R. Muthucumaraswamy, V. Valliammal, Theoret. Appl. Mech., Vol. 37, No. 4, pp. 251–262, Belgrade 2010.
[15]	P. R. Sharma, Navin Kumar and Pooja Sharma, Applied Mathematical Sciences, Vol. 5, No. 46, 2249–2260, 2011.
[16]	Girish Kumar, J., Kishore, P. M., Ramakrishna, S. Advances in Applied Science Research, 2012, 3 (4), 2134-2140.
[17]	P. M. Kishore, V. Rajesh, S. Vijaya Kumar Verma, Journal of Naval Architecture and Marine Engineering, 7, 101–110, 2010.
[18]	Brewster, M. Q. Thermal Radiative Transfer and Properties, John Wiley & Sons, New York, USA, (1992).
[19]	Carnahan, B., H. A. Luther, J. O. Wilkes, Applied Numerical Methods, John Wiley &Sons, New York, (1969).

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APA Style

Kibet Kiprop, Mathew Ngugi Kinyanjui, Jackson Kioko Kwanza. (2016). Hydrodynamic Radiating Fluid Flow Past an Infinite Vertical Porous Plate in Presence of Chemical Reaction and Induced Magnetic Field. American Journal of Applied Mathematics, 4(2), 62-74. https://doi.org/10.11648/j.ajam.20160402.11

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ACS Style

Kibet Kiprop; Mathew Ngugi Kinyanjui; Jackson Kioko Kwanza. Hydrodynamic Radiating Fluid Flow Past an Infinite Vertical Porous Plate in Presence of Chemical Reaction and Induced Magnetic Field. Am. J. Appl. Math. 2016, 4(2), 62-74. doi: 10.11648/j.ajam.20160402.11

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AMA Style

Kibet Kiprop, Mathew Ngugi Kinyanjui, Jackson Kioko Kwanza. Hydrodynamic Radiating Fluid Flow Past an Infinite Vertical Porous Plate in Presence of Chemical Reaction and Induced Magnetic Field. Am J Appl Math. 2016;4(2):62-74. doi: 10.11648/j.ajam.20160402.11

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@article{10.11648/j.ajam.20160402.11,
  author = {Kibet Kiprop and Mathew Ngugi Kinyanjui and Jackson Kioko Kwanza},
  title = {Hydrodynamic Radiating Fluid Flow Past an Infinite Vertical Porous Plate in Presence of Chemical Reaction and Induced Magnetic Field},
  journal = {American Journal of Applied Mathematics},
  volume = {4},
  number = {2},
  pages = {62-74},
  doi = {10.11648/j.ajam.20160402.11},
  url = {https://doi.org/10.11648/j.ajam.20160402.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20160402.11},
  abstract = {An investigation of the unsteady magnetohydrodynamic fluid flow with heat and mass transfer of a viscous, incompressible, electrically conducting and Newtonian fluid past a vertical plate embedded in a porous medium taking into account induced magnetic field, first order chemical reaction and thermal radiation effect is carried out. The dimensionless governing coupled, non-linear boundary layer partial differential equations are solved by an efficient and unconditionally stable finite difference scheme of the Crank-Nicholson type. A computer software is used to iteratively solve the partial differential equations. The numerical solutions for fluid velocity, induced magnetic field, species concentration and fluid temperatures are depicted graphically. The effect of various non-dimensional parameters on the fluid flow profiles are discussed and physical interpretation given. Applications of the study include laminar magneto aerodynamics, materials processing and MHD propulsion thermo-fluid dynamics.},
 year = {2016}
}

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TY  - JOUR
T1  - Hydrodynamic Radiating Fluid Flow Past an Infinite Vertical Porous Plate in Presence of Chemical Reaction and Induced Magnetic Field
AU  - Kibet Kiprop
AU  - Mathew Ngugi Kinyanjui
AU  - Jackson Kioko Kwanza
Y1  - 2016/03/06
PY  - 2016
N1  - https://doi.org/10.11648/j.ajam.20160402.11
DO  - 10.11648/j.ajam.20160402.11
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 62
EP  - 74
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20160402.11
AB  - An investigation of the unsteady magnetohydrodynamic fluid flow with heat and mass transfer of a viscous, incompressible, electrically conducting and Newtonian fluid past a vertical plate embedded in a porous medium taking into account induced magnetic field, first order chemical reaction and thermal radiation effect is carried out. The dimensionless governing coupled, non-linear boundary layer partial differential equations are solved by an efficient and unconditionally stable finite difference scheme of the Crank-Nicholson type. A computer software is used to iteratively solve the partial differential equations. The numerical solutions for fluid velocity, induced magnetic field, species concentration and fluid temperatures are depicted graphically. The effect of various non-dimensional parameters on the fluid flow profiles are discussed and physical interpretation given. Applications of the study include laminar magneto aerodynamics, materials processing and MHD propulsion thermo-fluid dynamics.
VL  - 4
IS  - 2
ER  -

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Author Information

Kibet Kiprop

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

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

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

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APA Style

Kibet Kiprop, Mathew Ngugi Kinyanjui, Jackson Kioko Kwanza. (2016). Hydrodynamic Radiating Fluid Flow Past an Infinite Vertical Porous Plate in Presence of Chemical Reaction and Induced Magnetic Field. American Journal of Applied Mathematics, 4(2), 62-74. https://doi.org/10.11648/j.ajam.20160402.11

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ACS Style

Kibet Kiprop; Mathew Ngugi Kinyanjui; Jackson Kioko Kwanza. Hydrodynamic Radiating Fluid Flow Past an Infinite Vertical Porous Plate in Presence of Chemical Reaction and Induced Magnetic Field. Am. J. Appl. Math. 2016, 4(2), 62-74. doi: 10.11648/j.ajam.20160402.11

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AMA Style

Kibet Kiprop, Mathew Ngugi Kinyanjui, Jackson Kioko Kwanza. Hydrodynamic Radiating Fluid Flow Past an Infinite Vertical Porous Plate in Presence of Chemical Reaction and Induced Magnetic Field. Am J Appl Math. 2016;4(2):62-74. doi: 10.11648/j.ajam.20160402.11

Copy | Download

@article{10.11648/j.ajam.20160402.11,
  author = {Kibet Kiprop and Mathew Ngugi Kinyanjui and Jackson Kioko Kwanza},
  title = {Hydrodynamic Radiating Fluid Flow Past an Infinite Vertical Porous Plate in Presence of Chemical Reaction and Induced Magnetic Field},
  journal = {American Journal of Applied Mathematics},
  volume = {4},
  number = {2},
  pages = {62-74},
  doi = {10.11648/j.ajam.20160402.11},
  url = {https://doi.org/10.11648/j.ajam.20160402.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20160402.11},
  abstract = {An investigation of the unsteady magnetohydrodynamic fluid flow with heat and mass transfer of a viscous, incompressible, electrically conducting and Newtonian fluid past a vertical plate embedded in a porous medium taking into account induced magnetic field, first order chemical reaction and thermal radiation effect is carried out. The dimensionless governing coupled, non-linear boundary layer partial differential equations are solved by an efficient and unconditionally stable finite difference scheme of the Crank-Nicholson type. A computer software is used to iteratively solve the partial differential equations. The numerical solutions for fluid velocity, induced magnetic field, species concentration and fluid temperatures are depicted graphically. The effect of various non-dimensional parameters on the fluid flow profiles are discussed and physical interpretation given. Applications of the study include laminar magneto aerodynamics, materials processing and MHD propulsion thermo-fluid dynamics.},
 year = {2016}
}

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TY  - JOUR
T1  - Hydrodynamic Radiating Fluid Flow Past an Infinite Vertical Porous Plate in Presence of Chemical Reaction and Induced Magnetic Field
AU  - Kibet Kiprop
AU  - Mathew Ngugi Kinyanjui
AU  - Jackson Kioko Kwanza
Y1  - 2016/03/06
PY  - 2016
N1  - https://doi.org/10.11648/j.ajam.20160402.11
DO  - 10.11648/j.ajam.20160402.11
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 62
EP  - 74
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20160402.11
AB  - An investigation of the unsteady magnetohydrodynamic fluid flow with heat and mass transfer of a viscous, incompressible, electrically conducting and Newtonian fluid past a vertical plate embedded in a porous medium taking into account induced magnetic field, first order chemical reaction and thermal radiation effect is carried out. The dimensionless governing coupled, non-linear boundary layer partial differential equations are solved by an efficient and unconditionally stable finite difference scheme of the Crank-Nicholson type. A computer software is used to iteratively solve the partial differential equations. The numerical solutions for fluid velocity, induced magnetic field, species concentration and fluid temperatures are depicted graphically. The effect of various non-dimensional parameters on the fluid flow profiles are discussed and physical interpretation given. Applications of the study include laminar magneto aerodynamics, materials processing and MHD propulsion thermo-fluid dynamics.
VL  - 4
IS  - 2
ER  -

Copy | Download