International Journal of Scientific & Technology Research

Home About Us Scope Editorial Board Blog/Latest News Contact Us
10th percentile
Powered by  Scopus
Scopus coverage:
Nov 2018 to May 2020


IJSTR >> Volume 3- Issue 12, December 2014 Edition

International Journal of Scientific & Technology Research  
International Journal of Scientific & Technology Research

Website: http://www.ijstr.org

ISSN 2277-8616

Radiative Mhd Stagnation Point Flow Over A Chemical Reacting Porous Stretching Surface With Convective Thermal Boundary Condition

[Full Text]



Christian John Etwire



Keywords: Schmidt number, radiation, Magnetohydrodynamic, convective, Lorentz force, concentration and reaction.



Abstract: This paper investigates the effects of radiation and chemical reaction on magneto hydrodynamic stagnation point flow over a porous stretching surface with convective thermal boundary condition. The nonlinear and coupled governing differential equations were solved numerically using the fourth order Runge-Kutta shooting method. Numerical results for the skin friction coefficient, the rate of heat transfer represented by the local Nusselt number and the rate of mass transfer by the local Sherwood number were presented whilst the velocity, temperature and concentration profiles illustrated graphically and analyzed. The effects of the velocity ratio parameter, magnetic field parameter, suction parameter, Prandtl number, radiation parameter, Schmidt number, reaction rate parameter and Biot number on the flow field were discussed.



[1] K. Hiemenz, “Die Grenzschicht an einem in dengleichformingenFlussigkeitsstrmeinge-tauchtengradenKrei szylinder”, Dinglers Polytech. J., 326, 1911, pp 321 – 324.

[2] 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.

[3] A. Ishak, K. Jafar,R. Nazar, and, I. Pop, “ MHD stagnation point flow towards a stretching sheet”, Physica A, 388, 2009,pp 3377 – 3383.

[4] 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.

[5] N. Senapati, R. K. Dhal and T. K. Das, “ Effects of Chemical Reaction on Free Convection MHD Flow through Porous Medium Bounded by Vertical Surface with Slip Flow Region” American Journal of Computational and Applied Mathematics 2012, 2(3): 124-135 DOI: 10.5923/j.ajcam.20120203.10

[6] 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.

[7] 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.

[8] Srinivas, S. and R.Muthuraj, Effects of thermal radiation and space porosity on MHD mixedconvection flow in a vertical channel using homotopy analysis method Fluid Dynamics Division, Communication in Nonlinear Science and Numerical Simulation, 15(8), 2010, pp. 2098–2108.

[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] Paresh Vyas and Ashutosh Ranjan, Discussed the dissipative MHD boundary- layer flow in a porous medium over a sheet stretching nonlinearly in the presence of radiation, Applied Mathematical Sciences, 4(63), 2010. 3133 - 3142.

[11] 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.

[12] 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.

[13] Emmanuel Maurice Arthur and Ibrahim Yakubu Seini. Hydromagnetic Stagnation Point Flow over a Porous Stretching Surface in the Presence of Radiation and Viscous Dissipation. Applied and Computational Mathematics. Vol. 3, No. 5, 2014, pp. 191-196. doi: 10.11648/j.acm.20140305.11

[14] Damala Ch. Kesavaiah, P V Satyanarayana and S Venkataramana, “Radiation Absorption, Chemical Reaction and Magnetic Filed Effects On The Free Convection And Mass Transfer Flow Through Porous Medium With Constant Suction And Constant Heat Flux” International Journal of Scientific Engineering and Technology Volume No.1, Issue No.6, pg : 274-284, (ISSN : 2277-1581)

[15] Sahin, A., and Chamkha, A. J.: Effects of chemical reaction, heat and mass transfer and radiation on the MHD flow along a vertical porous wall in the presence of induced magnetic field, Int. Journal of Industrial Mathematics, Vol. 2, No. 4, 2010 pp. 245-261.

[16] 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

[17] S. Ahmed and K. Kalita, “Analytical and Numerical Study for MHD Radiating Flow over an Infinite Vertical Surface Bounded by a Porous Medium in Presence of Chemical Reaction” Journal of Applied Fluid Mechanics, Vol. 6, No. 4, pp. 597-607, 2013. Available online at www.jafmonline.net, ISSN 1735-3572, EISSN 1735-3645.

[18] 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.