On Chemically Reacting Hydromagnetic Flow over a Flat Surface in the Presence of Radiation with Viscous Dissipation and Convective Boundary Conditions

Emmanuel Maurice Arthur; Ibrahim Yakubu Seini; Azizu Seidu

doi:doi:10.11648/j.ajam.20140205.15

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On Chemically Reacting Hydromagnetic Flow over a Flat Surface in the Presence of Radiation with Viscous Dissipation and Convective Boundary Conditions

Emmanuel Maurice Arthur, Ibrahim Yakubu Seini, Azizu Seidu

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

Received: 14 September 2014 Accepted: 24 September 2014 Published: 20 October 2014

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Abstract

This paper presents an investigation of the hydromagnetic flow over a flat surface with convective boundary conditions and internal heat generation in the presence of chemical reaction. The Newton-Raphson shooting method along with the fourth-order Runge-Kutta integration algorithm has been employed to tackle the third order, nonlinear boundary layer equation governing the problem. Results have been graphically displayed and discussed quantitatively to show some interesting aspects of the controlling parameters on the dimensionless axial velocity, temperature and the concentration profiles, local skin friction, and the rate of heat and mass transfer. Comparison of the numerical results of the present paper with earlier published works under some special cases showed consistency.

Published in	American Journal of Applied Mathematics (Volume 2, Issue 5)
DOI	10.11648/j.ajam.20140205.15
Page(s)	179-185
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

Convective Boundary Condition, Hydrodynamics, Brinkmann Number, Viscous Dissipation, Heat Generation

References

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[2]	Alia, M. M., Mamun, A. A., Maleque, Md. A., Hosain, N. and Azim, Md. A., “Radiation effects on MHD free convection flow along vertical flat plate in presence of Joule heating and heat generation”, 5th BSME International Conference on Thermal Engineering. Procedia Engineering, 56, 2013, 503–509
[3]	Alireza, R., Farzaneh-Gord, M., Varedi, S. R., Ganji, D., “Analytical Solution for Magnetohydrodynamic Stagnation Point Flow and Heat Transfer over a Permeable Stretching Sheet with Chemical Reaction”, Journal of Theoretical and Applied Mechanics 51 (3) 2013, 675-686, Warsaw
[4]	Arthur, E. M. and Seini, Y. I., “MHD Thermal Stagnation Point Flow towards a Stretching Porous Surface”, Mathematical Theory and Modeling, 4(5)2014, 163-169 , ISSN 2224-5804 (Paper) ISSN 2225-0522 (Online)
[5]	Chamkha, A. J., and Khaled, A. R. A., “Similarity solutions for hydromagnetic simultaneous heat and mass transfer by natural convection from an inclined plate with internal heat generation or absorption”, Heat Mass Transfer, 37, 2001, 117-123
[6]	Ibrahim, S. Y. and Makinde, D., “On MHD boundary layer flow of chemically reacting fluid with heat and mass transfer past a stretching sheet”, International Journal of fluid Mechanics, 2(2) 2010, 123-132
[7]	Ibrahim, S. Y. and Makinde, D., “Radiation effect on chemically reacting Magnetohydrodynamics (MHD) boundary layer flow of heat and mass transfer through a porous vertical plate”, International Journal of Physical Sciences, 6(6), 2011, 1508-1516
[8]	Ibrahim, S. Y. and Makinde, O. D., “Chemically reacting Magnetohydrodynamics (MHD) boundary layer flow of heat and mass transfer past a low-heat-sheet moving vertically downwards”, Scientific Research and Essays, 6(22)2011, 4762-4775
[9]	Ibrahim, S.M., “Heat and Mass Transfer Effects on Steady MHD Flow over an Exponentially Stretching Surface with Viscous Dissipation, Heat Generation and Radiation”, Journal of Global Research in Mathematical Archives, 1(8) 2013.
[10]	Kim, Y. J., “Unsteady MHD convective heat transfer past a semi-infinite vertical porous moving plate with variable suction”, Int. J. Eng. Sci., 38, 2000, 833-845
[11]	Makinde, O.D., “Entropy analysis for MHD boundary layer flow and heat transfer over a flat plate with a convective surface boundary condition”, Int. J. Exergy, 10(2)2012, pp. 142-154.
[12]	Ouaf, M. E. M., “Exact solution of thermal radiation on MHD flow over a stretching porous sheet”, Appl. Math. Comput., 170, 2005, 1117-1125
[13]	Seddeek, M. A., “Thermal Radiation and Buoyancy Effect on MHD Free Convection Heat Generation Flow over an Accelerating permeable Surface With temperature dependent viscosity”, Can. J. Phys., 79, 2001, 725-732
[14]	Seini, Y. I. and Makinde, O. D., “MHD boundary layer flow due to exponential stretching surface with radiation and chemical reaction”, Mathematical Problems in Engineering, 2013.
[15]	Singh, G. and Makinde, O. D., “Computational Dynamics of MHD Free Convection Flow along an inclined plate with Newtonian heating in the presence of Volumetric heat Generation”, Chemical Engineering Communication, 199(9)2012, 1144-1154.
[16]	Raja, T., Karthikeyan, S. and Senthilnathan, B., “A Magneto-convection Over a Semi- infinite Porous Plate with Heat Generation”. Journal of Applied Fluid Mechanics, 6 (4)2013, pp. 589-595
[17]	Uddin, M. J., Khan, W. A., and Ismail, A. I. M., “MHD Forced Convective Laminar Boundary Layer Flow from a Convectively Heated moving Vertical Plate with Radiation and Transpiration Effect”, PLoS ONE 8(5)2013,e62664. doi:10.1371/journalpone.0062664.
[18]	Makinde, O. D., “heat and mass transfer by MHD mixed convection stagnation point flow toward a vertical plate embedded in a highly porous medium with radiation and internal heat generation”, An International Journal of Theoretical and Applied Mechanics. Meccanica (2012)47, 2011,1173-1184, DOI 10.1007/s11012-011-9502-5
[19]	Aziz, A., “A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition”, Commun. Nonlinear Sci. Numer Simulat., Vol. 14, 2009, pp. 1064-1068

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Emmanuel Maurice Arthur, Ibrahim Yakubu Seini, Azizu Seidu. (2014). On Chemically Reacting Hydromagnetic Flow over a Flat Surface in the Presence of Radiation with Viscous Dissipation and Convective Boundary Conditions. American Journal of Applied Mathematics, 2(5), 179-185. https://doi.org/10.11648/j.ajam.20140205.15

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ACS Style

Emmanuel Maurice Arthur; Ibrahim Yakubu Seini; Azizu Seidu. On Chemically Reacting Hydromagnetic Flow over a Flat Surface in the Presence of Radiation with Viscous Dissipation and Convective Boundary Conditions. Am. J. Appl. Math. 2014, 2(5), 179-185. doi: 10.11648/j.ajam.20140205.15

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AMA Style

Emmanuel Maurice Arthur, Ibrahim Yakubu Seini, Azizu Seidu. On Chemically Reacting Hydromagnetic Flow over a Flat Surface in the Presence of Radiation with Viscous Dissipation and Convective Boundary Conditions. Am J Appl Math. 2014;2(5):179-185. doi: 10.11648/j.ajam.20140205.15

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@article{10.11648/j.ajam.20140205.15,
  author = {Emmanuel Maurice Arthur and Ibrahim Yakubu Seini and Azizu Seidu},
  title = {On Chemically Reacting Hydromagnetic Flow over a Flat Surface in the Presence of Radiation with Viscous Dissipation and Convective Boundary Conditions},
  journal = {American Journal of Applied Mathematics},
  volume = {2},
  number = {5},
  pages = {179-185},
  doi = {10.11648/j.ajam.20140205.15},
  url = {https://doi.org/10.11648/j.ajam.20140205.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20140205.15},
  abstract = {This paper presents an investigation of the hydromagnetic flow over a flat surface with convective boundary conditions and internal heat generation in the presence of chemical reaction. The Newton-Raphson shooting method along with the fourth-order Runge-Kutta integration algorithm has been employed to tackle the third order, nonlinear boundary layer equation governing the problem. Results have been graphically displayed and discussed quantitatively to show some interesting aspects of the controlling parameters on the dimensionless axial velocity, temperature and the concentration profiles, local skin friction, and the rate of heat and mass transfer. Comparison of the numerical results of the present paper with earlier published works under some special cases showed consistency.},
 year = {2014}
}

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TY  - JOUR
T1  - On Chemically Reacting Hydromagnetic Flow over a Flat Surface in the Presence of Radiation with Viscous Dissipation and Convective Boundary Conditions
AU  - Emmanuel Maurice Arthur
AU  - Ibrahim Yakubu Seini
AU  - Azizu Seidu
Y1  - 2014/10/20
PY  - 2014
N1  - https://doi.org/10.11648/j.ajam.20140205.15
DO  - 10.11648/j.ajam.20140205.15
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 179
EP  - 185
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20140205.15
AB  - This paper presents an investigation of the hydromagnetic flow over a flat surface with convective boundary conditions and internal heat generation in the presence of chemical reaction. The Newton-Raphson shooting method along with the fourth-order Runge-Kutta integration algorithm has been employed to tackle the third order, nonlinear boundary layer equation governing the problem. Results have been graphically displayed and discussed quantitatively to show some interesting aspects of the controlling parameters on the dimensionless axial velocity, temperature and the concentration profiles, local skin friction, and the rate of heat and mass transfer. Comparison of the numerical results of the present paper with earlier published works under some special cases showed consistency.
VL  - 2
IS  - 5
ER  -

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Author Information

Emmanuel Maurice Arthur

Mathematics Department, Faculty of Mathematical Sciences, Navrongo Campus, Ghana
Ibrahim Yakubu Seini

Mathematics Department, Faculty of Mathematical Sciences, Navrongo Campus, Ghana
Azizu Seidu

Mathematics Department, Faculty of Mathematical Sciences, Navrongo Campus, Ghana

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APA Style

Emmanuel Maurice Arthur, Ibrahim Yakubu Seini, Azizu Seidu. (2014). On Chemically Reacting Hydromagnetic Flow over a Flat Surface in the Presence of Radiation with Viscous Dissipation and Convective Boundary Conditions. American Journal of Applied Mathematics, 2(5), 179-185. https://doi.org/10.11648/j.ajam.20140205.15

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ACS Style

Emmanuel Maurice Arthur; Ibrahim Yakubu Seini; Azizu Seidu. On Chemically Reacting Hydromagnetic Flow over a Flat Surface in the Presence of Radiation with Viscous Dissipation and Convective Boundary Conditions. Am. J. Appl. Math. 2014, 2(5), 179-185. doi: 10.11648/j.ajam.20140205.15

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AMA Style

Emmanuel Maurice Arthur, Ibrahim Yakubu Seini, Azizu Seidu. On Chemically Reacting Hydromagnetic Flow over a Flat Surface in the Presence of Radiation with Viscous Dissipation and Convective Boundary Conditions. Am J Appl Math. 2014;2(5):179-185. doi: 10.11648/j.ajam.20140205.15

Copy | Download

@article{10.11648/j.ajam.20140205.15,
  author = {Emmanuel Maurice Arthur and Ibrahim Yakubu Seini and Azizu Seidu},
  title = {On Chemically Reacting Hydromagnetic Flow over a Flat Surface in the Presence of Radiation with Viscous Dissipation and Convective Boundary Conditions},
  journal = {American Journal of Applied Mathematics},
  volume = {2},
  number = {5},
  pages = {179-185},
  doi = {10.11648/j.ajam.20140205.15},
  url = {https://doi.org/10.11648/j.ajam.20140205.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20140205.15},
  abstract = {This paper presents an investigation of the hydromagnetic flow over a flat surface with convective boundary conditions and internal heat generation in the presence of chemical reaction. The Newton-Raphson shooting method along with the fourth-order Runge-Kutta integration algorithm has been employed to tackle the third order, nonlinear boundary layer equation governing the problem. Results have been graphically displayed and discussed quantitatively to show some interesting aspects of the controlling parameters on the dimensionless axial velocity, temperature and the concentration profiles, local skin friction, and the rate of heat and mass transfer. Comparison of the numerical results of the present paper with earlier published works under some special cases showed consistency.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - On Chemically Reacting Hydromagnetic Flow over a Flat Surface in the Presence of Radiation with Viscous Dissipation and Convective Boundary Conditions
AU  - Emmanuel Maurice Arthur
AU  - Ibrahim Yakubu Seini
AU  - Azizu Seidu
Y1  - 2014/10/20
PY  - 2014
N1  - https://doi.org/10.11648/j.ajam.20140205.15
DO  - 10.11648/j.ajam.20140205.15
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 179
EP  - 185
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20140205.15
AB  - This paper presents an investigation of the hydromagnetic flow over a flat surface with convective boundary conditions and internal heat generation in the presence of chemical reaction. The Newton-Raphson shooting method along with the fourth-order Runge-Kutta integration algorithm has been employed to tackle the third order, nonlinear boundary layer equation governing the problem. Results have been graphically displayed and discussed quantitatively to show some interesting aspects of the controlling parameters on the dimensionless axial velocity, temperature and the concentration profiles, local skin friction, and the rate of heat and mass transfer. Comparison of the numerical results of the present paper with earlier published works under some special cases showed consistency.
VL  - 2
IS  - 5
ER  -

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