Hydromagnetic free Convection from a Moving Permeable Vertical Surface through Porous medium with Heat Source and first order Chemical Reaction

International Journal of Mathematics Trends and Technology (IJMTT)
© 2017 by IJMTT Journal
Volume-48 Number-2
Year of Publication : 2017
Authors : Priya Mathur, A.Jha


Priya Mathur, A.Jha "Hydromagnetic free Convection from a Moving Permeable Vertical Surface through Porous medium with Heat Source and first order Chemical Reaction", International Journal of Mathematics Trends and Technology (IJMTT). V48(2):120-127 August 2017. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

An analysis is performed to study the momentum heat and mass transfer characteristics of MHD natural convection flow over moving permeable surface through porous medium taking into account the first order chemical reaction. The surface is maintained at linear temperature and concentration variations through porous medium. The non linear coupled boundary layer equations were transformed and the resulting ordinary differential equations were solved by perturbation technique. The solution is found to be dependent on several governing parameter, including the magnetic field, strength parameter, Prandtl number, Schmidt number, buoyancy ratio, porous medium, heat source, chemical reaction and suction /blowing parameter. A parametric study of all governing parameters is carried out and representative results for the dimensionless velocity profiles, the temperature profiles, the concentration profiles, the local friction coefficient and the local Nusselt number are presented for various combinations of parameters.

[1] Soundalgekar, V. M. (1965): Hydromagnetic flow near an accelerated plate in the presence of a magnetic field, Applied Scientific Research, Vol. 12, No. 1, pp. 151156.
[2] Kafousias, N. G. and Georgantopoulos, G. A. (1982): Magnetohydrodynamic free convection effects on the Stokes problem for an incompressible viscous fluid past an infinite vertical limiting surface, Astrophysics and Space Science, Vol. 85, No. 1-2, pp. 297-307.
[3] Raptis, A. and Soundalgekar, V. M. (1984): MHD flow past a steadily moving infinite vertical porous plate with mass transfer and constant heat flux, ZAMM Journal of Applied Mathematics and Mechanics, Vol. 64, No. 2, pp. 127-130.
[4] B.K.Jha and R.Prasad (1992):MHD free convection and mass transfer flow through a porous medium with heat source.J.Math.Phy.Sci.;26(1),1.
[5] Yih KA(1999) Free convection effect on MHD coupled heat and mass transfer of a moving permeable vertical surface. Int Commun Heat Mass Transfer ,26(1):pp.95–104.
[6] Mohamed M. Abdelkhalek (2006) Unsteady MHD convection and mass transfer flow of micropolar fluids past a vertical permeable moving plate with heat absorption. Indian J Phys;80(6):pp.625–35.
[7] Abdelkhalek MM.(2006) The skin friction in the MHD mixed convection stagnation point with mass transfer. Int Commun Heat Mass Transfe;33:pp.249–58.
[8] A. Rapits and N. Kafousias(1982) “Magneto Hydrodynamics Free Convective Flow and Mass Transfer through a Po- rous Medium Bounded by an Infinite Vertical Porous Plate with constant Heat Flux,” Canadian Journal of Physics, Vol. 60, No. 12, pp. 1724-1729.
[9] O. V. Trevisan and A. Bejan(1985) “Natural Convection with Combined Heat and Mass Transfer Buoyancy Effects in a Porous Medium,” Heat and Mass Transfer, Vol. 28, No. 8, 1985, pp. 1597-1611.
[10] A. Bejan and K. R. Khair(1985) “Heat and Mass Transfer in Porous Medium,” International Journal of Heat and Mass Transfer,Vol.28,No. 5, 902-918.
[11] Kumari M, Takhar HS and Nath G (1990) “MHD flow and heat transfer over a stretching surface with prescribed wall temperature or heat flux”, Warme Stoffubertrag, 25: 331-336
[12] P.C.Ram, S.S.Singh and R.K.Jain(1990)Heat and mass transfer of a viscous heat generating fluid with hall current.AstroPhys.Space Sci.;168,209.
[13] Cheng WT, Huang CN. (2004) Unsteady flow and heat transfer on an accelerating surface with blowing or suction in the absence and presence of a heat source or sink. Chem Eng Sci; 59: 771–80.
[14] Xu H, Liao SJ. (2005) Analytic solutions of magnetohydrodynamic flows of non-Newtonian fluids caused by an impulsively stretching plate. J Non-Newton Fluid Mech ;159: 46–55.
[15] HS. Takhar, P.C. Ram , Garba EJD and J.K. Bitok,(1995) ; the hydromagnetic convection flow of a heat generating fluid past a vertical plate with hall current and heat flux through a porous medium. J. MHD Plasma Res.; 5(2/3), 185.
[16] U. N. Das, N. Ahmed and D. Sharma,(2000) “Three-Dimensional Free Convective MHD Flow and Heat Transfer through Porous Medium,” FJAM, Vol. 4, No. 3, pp. 357- 369
[17] Choudhary, M.K., Islam, M.N. (2000) MHD free convection flow of visco-elastic fluid past an infinite vertical porous plate. Heat Mass transfer 36, 439-447.
[18] R. C. Chaudhary and A. Jain,(2007) “Combined Heat and Mass Transfer Effects on MHD Free Convection Flow Past an Oscillating Plate Embedded in Porous Medium,” Roma- nian Journal of Physics, Vol. 52, No. 5-7, pp. 505- 524.
[19] Abdelkhalek, M. M. (2009): Heat and mass transfer in MHD free convection from a moving permeable vertical surface by a perturbation technique, Communications in Nonlinear Science and Numerical Simulation, Vol. 14, No. 5, pp. 2091-2102.
[20] Singh, P.K.(2012) Heat and Mass Transfer in MHD Boundary Layer Flow past an Inclined Plate with Viscous Dissipation in Porous Medium, International Journal of Scientific & Engineering Research, Volume 3, Issue 6, ISSN 2229-5518.
[21] Afify AA (2004) MHD free-convective flow and mass transfer over a stretching sheet with chemical reaction, Heat Mass Transf.40: 495-500.
[22] A.A.Joneidi, G.Domairry, and M.Babaelahi (2010) Analytical treatment of MHD free convective flow and mass transfer over a stretching sheet with chemical reaction, Journal of the Taiwan Institute of Chemical Engineers,vol.41,no.1,pp.35–43.
[23] F.Mohmmed Nasser El-Fayez (2012)effect of chemical reaction on the unsteady convection flow past an infinite vertical plate permeable moving plate with variable temperature,” Journal of Surface Engineering Materials and Advance Technology,Vol. 2 No.2,pp.100-109.
[24] S. Shateyi (2008)Thermal radiation and buoyancy effects on heat and mass transfer over a semi-infinite stretching surface with suction and blowing, Journal of Applied Mathematics, vol.2008, Article ID 414830, 12 pages, 2008.
[25] M. A. Seddeek and A. A. Almushigeh (2010) Effects of radiation and variable viscosity on MHD free convective flow and mass transfer over a stretching sheet with chemical reaction, “Applied Mathematics and Computation,vol.5,no.1,pp.181–197.

Heat source, Heat and Mass transfer, free convection, chemical reaction.