Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30248
MHD Chemically Reacting Viscous Fluid Flow towards a Vertical Surface with Slip and Convective Boundary Conditions

Authors: Ibrahim Yakubu Seini, Oluwole Daniel Makinde

Abstract:

MHD chemically reacting viscous fluid flow towards a vertical surface with slip and convective boundary conditions has been conducted. The temperature and the chemical species concentration of the surface and the velocity of the external flow are assumed to vary linearly with the distance from the vertical surface. The governing differential equations are modeled and transformed into systems of ordinary differential equations, which are then solved numerically by a shooting method. The effects of various parameters on the heat and mass transfer characteristics are discussed. Graphical results are presented for the velocity, temperature, and concentration profiles whilst the skin-friction coefficient and the rate of heat and mass transfers near the surface are presented in tables and discussed. The results revealed that increasing the strength of the magnetic field increases the skin-friction coefficient and the rate of heat and mass transfers toward the surface. The velocity profiles are increased towards the surface due to the presence of the Lorenz force, which attracts the fluid particles near the surface. The rate of chemical reaction is seen to decrease the concentration boundary layer near the surface due to the destructive chemical reaction occurring near the surface.

Keywords: Heat Transfer, mass transfer, MHD flow, boundary layer, surface slip, chemical reaction

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1108991

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1655

References:


[1] S. Y. Ibrahim and O.D. Makinde, Chemically Reacting MHD Boundary Layer Flow of Heat and Mass Transfer past a Low-Heat-Resistant Sheet moving vertically downwards, Sci. Res. & Essays, 6(22): 4762 – 4775 (2011).
[2] S.Y. Ibrahim and O.D. Makinde, Chemically Reacting MHD Boundary Layer Flow of Heat and Mass Transfer over a Moving Vertical Plate with Suction, Sci. Res. & Essays, 5(19): 2875 – 2882 (2010).
[3] K. Cao and J. Baker, Slip effects on mixed convective flow and heat transfer from a vertical plate”, Int. J. Heat Mass Transf., Vol. 52 Nos 15- 16, pp. 3829-3841 (2009).
[4] J. Zhu, L.C. Zheng and Z.G. Zhang, Analytical solution to stagnationpoint flow and heat transfer over a stretching sheet based on homotopy analysis”, Appl. Math. Mech. Engl. Ed., Vol. 30, No. 4, pp. 463-474 (2009).
[5] I. A. Hassanien and R. S. R. Gorla, Combined forced and free convection in stagnation flows of micropolar fluids over vertical nonisothermal surfaces”, Int. J. Eng. Sci., Vol. 28 No. 8, pp. 783-792 (1990).
[6] C. Y. Wang, Stagnation slip flow and heat transfer on a moving plate”, Chem. Eng. Sci., Vol. 61 No. 23, pp. 7668-7672 (2006).
[7] S. A. Kechil, I. Hashim, Series solution of flow over nonlinearly stretching sheet with chemical reaction and magnetic field, Physics Letters B, 372, 2258-2263 (2008).
[8] J. Zhu, L.C. Zheng and Z.G. Zhang, The effect of the slip condition on the MHD stagnation-point over a power-law stretching sheet, Appl. Math. Mech. Vol. 31 No.4, pp.439-448 (2010).
[9] O. D. Makinde, Computational modeling of MHD unsteady flow and heat transfer over a flat plate with Navier slip and Newtonian heating”, Brazilian J. Chem. Eng., Vol.29 No.1, pp.159-166, (2012).
[10] O. D. Makinde and P. Sibanda, Effects of chemical reaction on boundary layer flow past a vertical stretching surface in the presence of internal heat generation, Inter. J. of Num. Methods for Heat & Fluid Flow, Vol. 21 No. 6, pp. 779-792, (2011).
[11] C. Michele and C. Fabrizio, Influence of a magnetic field on liquid metal free convection in an internally heated cubic enclosure, Int. J. of Num. Methods for Heat & Fluid Flow, Vol. 12 No. 6, pp. 687-715 (2002).
[12] S.R.G. Rama, A. Slaouti and H.S. Takhar, Mixed convection in non- Newtonian fluids along a vertical plate in porous media with surface mass transfer, Int. J. of Num. Methods for Heat and Fluid Flow, Vol. 7 No. 6, pp. 598-608 (1997).
[13] E. M. Arthur, Y. I. Seini and A. Seidu, On chemically reacting hydromagnetic flow over a flat surface in the presence of radiation with viscous dissipation and convective boundary conditions, American J. Appl. Maths; 2(5): 179-185 (2014).
[14] E. M. Arthur and Y. I. Seini, MHD thermal stagnation point-flow towards a stretching porous surface, Math. Theory and Modeling, Vol.4, No.5, 163 – 169 (2014).
[15] R. Imoro, E.M. Arthur, and Y.I. Seini, Heat and Mass Transfer over a Vertical Surface with Convective Boundary Conditions in the Presence of Viscous Dissipation and nth Order Chemical Reaction”. Int. J. Comp. & Appl. Maths, 9(2), 101-118 (2014).
[16] 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, Int. J. Num. Methods and Fluid Flow; 24(3): 643 – 653 (2014).
[17] Y. Y. Lok, N. Amin and I. Pop, Unsteady mixed convection flow of a micropolar fluid near the stagnation-point on a vertical surface, Int. J. Therm. Sci., Vol. 45 No. 12, pp. 1149-1157 (2006).