International Journal of Applied Science and Engineering
Published by Chaoyang University of Technology

J. I. Oahimirea and B. I. Olajuwonb,*

aDepartment of Mathematics, University of Portharcourt, Nigeria
bDepartment of Mathematics, University of Agriculture, Abeokuta, Nigeria


 

Download Citation: |
Download PDF


ABSTRACT


The hydro-magnetic flow of a viscous fluid near a stagnation point on a linearly stretching sheet with variable thermal conductivity and heat source is investigated. The governing non-linear partial differential equations of momentum and energy are transformed into non-linear ordinary differential equations using the usual similarity transformation. The resulting problem is then solved using perturbation technique. The effect of variable thermal conductivity, magnetic field and some other important parameters encountered in the problem are discussed. The result shows that the observed parameters have significance influence on the flow.


Keywords: Hydro-magnetic flow; stagnation point; source; variable thermal conductivity; steady; Nusselt number; skin-friction coefficient and Perturbation technique.


Share this article with your colleagues

 


REFERENCES


[1] Govardnan, K. and Kishan, N. 2012. Unsteady MHD boundary layer flow of an incompressible micropolar fluid over a stretching sheet. Journal of Applied fluid mechanics, 5: 23-28.

[2] Hamza, M. M., Usman, H., and Isah, B. 2011. Unsteady MHD micropolar flow and mass transfer past a vertical permeable plate with variable suction. International journal of computer applications, 22: 0975-8887.

[3] Jashim, Md. 2011. Convective flow of micropolar fluids along an inclined flat plate with variable electric conductivity and uniform surface heat flux. Daffodil international university journal of science and technology, 6: 69-79.

[4] Muhamad, A. and Anwari, M. 2011. Numerical study of MHD boundary layer stagnation point flow and heat transfer of a micropolar fluid over a permeable horizontal surface with injection/suction effect. Middle-east journal of scientific research, 10: 424-433.

[5] Haque, M. M., Alam, M. M., Ferdows, M., and Postelnicu, A. 2011. MHD free convection heat generating unsteady micropolar fluid flow through a porous medium with constant heat and mass. European journal of scientific research, 53: 491-515.

[6] Norfifah, B. and Anuar, T. 2009. MHD stagnation point flow of a micropolar fluid prescribed wall heat flux. European journal of scientific research, 35: 436-443.

[7] Abdelkalek, M. M. 2008. Hydromagnetic stagnation point flow by perturbation technique. Computational Material Science, 42: 497-503.

[8] Abdelkhalek, M. M. 2005. The skin friction in the MHD mixed convection stagnation point with mass transfer. International Communication in Heat and Mass Transfer, 33: 249-258.

[9] Bestman, A. R., Alabraba, M. A., and Ogulu, A. 1991. Radiative heat transfer to Hydromagnetic flow of a slightly rarefield binary gas in a vertical channel. Astropysics and Space Science, 189: 303-308.

[10] Chiam, T. C. 1997. Magnetohydodynamic heat transfer over a non-isothermal stretching sheet. Acta Mechanica, 122: 169-179.

[11] Chamkha, A. J. 1997. Hydromagnetic mixed convection stagnation flow with suction and blowing. International Communication in Heat and Mass Transfer, 25: 417-426.

[12] Grubka, L. J. and Bobba, K. M. 1985. Heat transfer characteristic of a continuously stretching surface with variable temperature. Transaction of ASME Journal of Heat and Mass Transfer, 107: 248-250.

[13] Hiemenz, K. 1911. Die grenzschicht an einem in dengleich formigen flussigkeitsstrom eingetauch geraden Kreiszlinder. Dingl. Polytech. J ,. 326: 321-328.

[14] Mahapatra, T. R. and Gupta, A. S. 2002. Heat transfer in stagnation- point towards a stretching sheet. Heat and Mass Transfer, 38: 517-521.

[15] Seddeek, M. A. and Salem, A. M. 2005. Laminar mixed convection adjacent to vertical continuously stretching sheet with variable viscisity and variable thermal diffusivity. Heat and Mass Transfer, 41: 1048-1055.

[16] Sharma, P. R. and Singh, G. 2008. Effect of variable thermal conductivity and heat source/sink on Magnetohydrodynamic flow near a stagnation point on a linearly stretching sheet. Journal of Applied Fluid Mechanics, 1: 13-21.


ARTICLE INFORMATION


Received: 2012-04-20
Revised: 2012-12-10
Accepted: 2013-07-17
Available Online: 2013-09-01


Cite this article:

Oahimire, J.I., Olajuwon, B.I. 2013. Hydromagnetic flow near a stagnation point on a stretching sheet with variable thermal conductivity and heat Source/Sink. International Journal of Applied Science and Engineering, 11, 331–341. https://doi.org/10.6703/IJASE.2013.11(3).331