Hydromagnetic Stagnation Point Flow over a Porous Stretching Surface in the Presence of Radiation and Viscous Dissipation

Emmanuel Maurice Arthur; Ibrahim Yakubu Seini

doi:doi:10.11648/j.acm.20140305.11

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Hydromagnetic Stagnation Point Flow over a Porous Stretching Surface in the Presence of Radiation and Viscous Dissipation

Emmanuel Maurice Arthur, Ibrahim Yakubu Seini

Published in Applied and Computational Mathematics (Volume 3, Issue 5)

Received: 17 August 2014 Accepted: 2 September 2014 Published: 20 September 2014

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Abstract

This paper investigates the hydromagnetic stagnation point flow of an incompressible viscous electrically conducting fluid towards a stretching sheet in the presence of radiation and viscous dissipation. 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 problem governing the flow. Numerical results for dimensionless local skin friction coefficient and the local Nusselt numbers are presented in tables while graphical results are presented for velocity and temperature profiles for various values of the controlling parameters. The results show that the heat transfer of a hydromagnetic fluid over a porous stretching surface subject to radiation and viscous dissipation can be controlled and a final product with desired characteristics can be achieved.

Published in	Applied and Computational Mathematics (Volume 3, Issue 5)
DOI	10.11648/j.acm.20140305.11
Page(s)	191-196
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

Velocity Ratio, Viscous Flow, Radiation, Hydromagnetic, Stagnation Point, Suction

References

[1]	P. Adrian, “Heat and Mass Transfer by Natural Convection at a Stagnation Point in a Porous Medium Considering Soret and Dufour Effects”, Heat Mass Transfer, 46, 2010, pp 831 – 840.
[2]	R. Alireza, M. Farzaneh-Gord, S. R Varedi, and D.D. Ganji, “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,pp 675-686, Warsaw.
[3]	E. M Arthur and Y. I. Seini, “MHD Thermal Stagnation Point Flow towards a Stretching Porous Surface”,Mathematical Theory and Modeling, 4(5), 2014, pp 163-169.
[4]	K. Bhattacharyya and G.C. Layek, “Effects of suction/blowing on steady boundary layer stagnation point flow and heat transfer towards a shrinking sheet with thermal radiation”, Int. J. Heat and Mass Transfer, 54, 2011,pp 302 – 307.
[5]	C.D.S. Devi, H.S. Takhar,and G. Nath, “Unsteady mixed convection flow in stagnation region adjacent to a vertical surface”, Heat Mass Trans. 26,1991, pp 71 – 79.
[6]	P. Dulal,“Heat and mass transfer in stagnation-point flow towards a stretching surface in the presence of buoyancy and thermal radiation”, Meccanica, 44, 2009, pp 145-148. DOI 10.1007/s11012-008-9155-1.
[7]	C. J. Etwire, Y. I. Seini, and E. M. Arthur,“MHD Boundary Layer Stagnation Point Flow with Radiation and Chemical Reaction towards a Heated Shrinking Porous Surface”, International Journal of Physical Science 9(14), 2014, pp 320 – 328.
[8]	K. Hiemenz, “Die Grenzschicht an einem in dengleichformingenFlussigkeitsstrmeinge-tauchtengradenKreiszylinder”, Dinglers Polytech. J., 326, 1911, pp 321 – 324.
[9]	M. A. Hossain and H. S. Takhar, “Radiation effect on mixed convection along a vertical plate with uniform surface temperature”, Heat mass transfer 31, 1996, pp 243 – 248.
[10]	S.Y. Ibrahim and O.D. Makinde, “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, pp 123 – 132.
[11]	S.Y. Ibrahim and O.D. Makinde,“Radiation Effect on Chemically Reacting MHD Boundary Layer Flow of Heat and Mass Transfer past a Porous Vertical Flat Plate”, International Journal of the Physical Sciences, 6(6), 2011, pp 1508 – 1516.
[12]	A. Ishak, K. Jafar,R. Nazar, and, I. Pop, “ MHD stagnation point flow towards a stretching sheet”, Physica A, 388, 2009, pp 3377 – 3383.
[13]	S.A. Kechil and I. Hashim, (), Series solution of flow over nonlinearly stretching sheet with chemical reaction and magnetic field, Physics Letters B, 372, 2008, pp 2258 – 2263.
[14]	G. C. Layek, S., Mukhopadhyay, and S. A. Samad, “Heat and mass transfer analysis for boundary layer stagnation point flow towards a heated porous stretching sheet with heat absorption/generation and suction/blowing,” International Communications in Heat and Mass Transfer, 34 (3), 2007, pp 347–356.
[15]	Y. Y. Lok, N. Amin, D. Campean, and I. Pop,“Steady mixed convection flow of a micropolar fluid near the stagnation point on a vertical surface, Int. J. Numer. Meth. Heat Fluid Flow”, 15, 2005, pp 654–670.
[16]	O.D. Makinde and W.M. Charles, “Computational dynamics of hydromagnetic stagnation flow towards a stretching sheet”, Appl. Comput. Math., 9(2), 2010, pp 243 – 251.
[17]	S. R. Pop, T. Grosan, and I. Pop, “ Radiation effects on the flow near the stagnation point of a stretching sheet”, Tech. Mech., Band 25. Heft 2, 2004, pp 100 – 106.
[18]	N. Ramachandran, T. S.Chen, and B. F. Armaly,“Mixed convection in stagnation flows adjacent to a vertical surface”, ASME J. Heat Transfer, 110, 1988, pp 373 – 377.
[19]	B.C. Sakiadis,“Boundary layer behavior on continuous solid surfaces: I boundary layer equations for two dimensional and axisymmetric flow”, American Institute of Chemical Engineers, 61, 1971, pp 26 – 34.
[20]	Y.I. Seini,“Flow over unsteady stretching surface with chemical reaction and non-uniform heat source”, Journal of Engineering and Manufacturing Technology, JEMT 1, 2013,pp 24 – 35.
[21]	Y.I. Seini and O.D. Makinde, “MHD boundary layer flow due to exponential stretching surface with radiation and chemical reaction”, Mathematical Problems in Engineering, 2013. http://dx.doi.org/10.1155/2013/163614.
[22]	Y.I. Seini and O.D. Makinde, “Boundary Layer Flow near Stagnation-Points on a Vertical Surface with Slip in the Presence of Transverse Magnetic Field”, International Journal of Numerical Methods and Fluid Flow, Vol. 24(3), 2014, pp 643 – 653.
[23]	J. Zhu, L.C. Zheng, and X.X. Zhang, “The influence of thermal radiation on MHD stagnation point flow past a stretching sheet with heat generation”, Acta. Mech. Sin., 27(4),2011, pp 502 – 509.
[24]	T. Fang, J. Zhang, and S. Yao,“Slip MHD viscous flow over a stretching sheet – an exact solution”, Communications in Nonlinear Science and Numerical Simulation, 14, 2009, pp 3731-3737

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APA Style

Emmanuel Maurice Arthur, Ibrahim Yakubu Seini. (2014). Hydromagnetic Stagnation Point Flow over a Porous Stretching Surface in the Presence of Radiation and Viscous Dissipation. Applied and Computational Mathematics, 3(5), 191-196. https://doi.org/10.11648/j.acm.20140305.11

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ACS Style

Emmanuel Maurice Arthur; Ibrahim Yakubu Seini. Hydromagnetic Stagnation Point Flow over a Porous Stretching Surface in the Presence of Radiation and Viscous Dissipation. Appl. Comput. Math. 2014, 3(5), 191-196. doi: 10.11648/j.acm.20140305.11

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AMA Style

Emmanuel Maurice Arthur, Ibrahim Yakubu Seini. Hydromagnetic Stagnation Point Flow over a Porous Stretching Surface in the Presence of Radiation and Viscous Dissipation. Appl Comput Math. 2014;3(5):191-196. doi: 10.11648/j.acm.20140305.11

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@article{10.11648/j.acm.20140305.11,
  author = {Emmanuel Maurice Arthur and Ibrahim Yakubu Seini},
  title = {Hydromagnetic Stagnation Point Flow over a Porous Stretching Surface in the Presence of Radiation and Viscous Dissipation},
  journal = {Applied and Computational Mathematics},
  volume = {3},
  number = {5},
  pages = {191-196},
  doi = {10.11648/j.acm.20140305.11},
  url = {https://doi.org/10.11648/j.acm.20140305.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20140305.11},
  abstract = {This paper investigates the hydromagnetic stagnation point flow of an incompressible viscous electrically conducting fluid towards a stretching sheet in the presence of radiation and viscous dissipation. 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 problem governing the flow. Numerical results for dimensionless local skin friction coefficient and the local Nusselt numbers are presented in tables while graphical results are presented for velocity and temperature profiles for various values of the controlling parameters. The results show that the heat transfer of a hydromagnetic fluid over a porous stretching surface subject to radiation and viscous dissipation can be controlled and a final product with desired characteristics can be achieved.},
 year = {2014}
}

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TY  - JOUR
T1  - Hydromagnetic Stagnation Point Flow over a Porous Stretching Surface in the Presence of Radiation and Viscous Dissipation
AU  - Emmanuel Maurice Arthur
AU  - Ibrahim Yakubu Seini
Y1  - 2014/09/20
PY  - 2014
N1  - https://doi.org/10.11648/j.acm.20140305.11
DO  - 10.11648/j.acm.20140305.11
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 191
EP  - 196
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20140305.11
AB  - This paper investigates the hydromagnetic stagnation point flow of an incompressible viscous electrically conducting fluid towards a stretching sheet in the presence of radiation and viscous dissipation. 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 problem governing the flow. Numerical results for dimensionless local skin friction coefficient and the local Nusselt numbers are presented in tables while graphical results are presented for velocity and temperature profiles for various values of the controlling parameters. The results show that the heat transfer of a hydromagnetic fluid over a porous stretching surface subject to radiation and viscous dissipation can be controlled and a final product with desired characteristics can be achieved.
VL  - 3
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

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APA Style

Emmanuel Maurice Arthur, Ibrahim Yakubu Seini. (2014). Hydromagnetic Stagnation Point Flow over a Porous Stretching Surface in the Presence of Radiation and Viscous Dissipation. Applied and Computational Mathematics, 3(5), 191-196. https://doi.org/10.11648/j.acm.20140305.11

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ACS Style

Emmanuel Maurice Arthur; Ibrahim Yakubu Seini. Hydromagnetic Stagnation Point Flow over a Porous Stretching Surface in the Presence of Radiation and Viscous Dissipation. Appl. Comput. Math. 2014, 3(5), 191-196. doi: 10.11648/j.acm.20140305.11

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AMA Style

Emmanuel Maurice Arthur, Ibrahim Yakubu Seini. Hydromagnetic Stagnation Point Flow over a Porous Stretching Surface in the Presence of Radiation and Viscous Dissipation. Appl Comput Math. 2014;3(5):191-196. doi: 10.11648/j.acm.20140305.11

Copy | Download

@article{10.11648/j.acm.20140305.11,
  author = {Emmanuel Maurice Arthur and Ibrahim Yakubu Seini},
  title = {Hydromagnetic Stagnation Point Flow over a Porous Stretching Surface in the Presence of Radiation and Viscous Dissipation},
  journal = {Applied and Computational Mathematics},
  volume = {3},
  number = {5},
  pages = {191-196},
  doi = {10.11648/j.acm.20140305.11},
  url = {https://doi.org/10.11648/j.acm.20140305.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20140305.11},
  abstract = {This paper investigates the hydromagnetic stagnation point flow of an incompressible viscous electrically conducting fluid towards a stretching sheet in the presence of radiation and viscous dissipation. 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 problem governing the flow. Numerical results for dimensionless local skin friction coefficient and the local Nusselt numbers are presented in tables while graphical results are presented for velocity and temperature profiles for various values of the controlling parameters. The results show that the heat transfer of a hydromagnetic fluid over a porous stretching surface subject to radiation and viscous dissipation can be controlled and a final product with desired characteristics can be achieved.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - Hydromagnetic Stagnation Point Flow over a Porous Stretching Surface in the Presence of Radiation and Viscous Dissipation
AU  - Emmanuel Maurice Arthur
AU  - Ibrahim Yakubu Seini
Y1  - 2014/09/20
PY  - 2014
N1  - https://doi.org/10.11648/j.acm.20140305.11
DO  - 10.11648/j.acm.20140305.11
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 191
EP  - 196
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20140305.11
AB  - This paper investigates the hydromagnetic stagnation point flow of an incompressible viscous electrically conducting fluid towards a stretching sheet in the presence of radiation and viscous dissipation. 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 problem governing the flow. Numerical results for dimensionless local skin friction coefficient and the local Nusselt numbers are presented in tables while graphical results are presented for velocity and temperature profiles for various values of the controlling parameters. The results show that the heat transfer of a hydromagnetic fluid over a porous stretching surface subject to radiation and viscous dissipation can be controlled and a final product with desired characteristics can be achieved.
VL  - 3
IS  - 5
ER  -

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