Effects of Heat and Mass Flux on MHD Free Convection Flow Through a Porous Medium with Radiation and First Order Chemical Reaction
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Department of Mathematics, JECRC University, Jaipur -, 303905, Rajasthan, India
Online publication date: 2018-11-21
Publication date: 2018-11-01
International Journal of Applied Mechanics and Engineering 2018;23(4):855-871
The study of a magneto hydrodynamic (MHD) free convection flow of an incompressible viscous fluid flow past a vertical surface is analyzed by taking into account viscous dissipation under the influence of radiation effect and chemical reaction with constant heat and mass fluxes. The governing partial differential equations have been converted into a set of ordinary differential equations using non dimensional quantities. The perturbation technique has been applied to solve the system of partial differential equations. The velocity, temperature and concentration fields have been studied for the effect of the permeability parameter (α), Grashof number for heat transfer (Gr), Grashof number for mass transfer (Gm), Prandtl number (Pr), magnetic parameter (M), chemical reaction parameter (Kr), Schmidt number (Sc), Eckert number (E), radiation parameter (F) etc. The expressions for the skin-friction, rate of heat transfer and rate of mass transfer are also derived. It is observed that when the radiation parameter increases, the velocity increases near the vertical surface. It is also seen that the concentration decreases with an increase in the chemical reaction parameter (Kr).
Lin H.T. and Wu C.M. (1995): Combined heat and mass transfer by laminar natural convection from a vertical plate. – Heat and Mass Transfer, vol.30, pp.369–376.
Chamkha A.J. (2000): Thermal radiation and buoyancy effects on hydro magnetic flow over an accelerating permeable surface with heat source or sink. – Int. J. Heat Mass Transfer, vol.38, pp.1699-1712.
Chamkha A.J. (2004): Unsteady MHD convective heat and mass transfer past a semi-infinite vertical permeable moving plate with heat absorption. – Int. J. of Engg. Science, vol.42, pp.217-230.
Chaudhary R.C., Sharma and B.K. and Jha A.K. (2006): Radiation effect with simultaneous thermal and mass diffusion in MHD mixed convection flow from a vertical surface with Ohmic heating. – Rom. Journ. Phys., vol.51, No.7–8, pp.715–727.
Chaudhary R.C. and Jha A.K. (2008): Heat and mass transfer in elastico-viscous fluid past an impulsively started infinite vertical plate with hall effect. – Latin American Applied Research, vol.38, pp.17-26.
Soundalgekar V.M. (1972): Viscous dissipation effects on unsteady free convective flow past an infinite vertical porous plate with constant suction. – International Journal of Heat Mass Transfer, vol.15, No.6, pp.1253-1261.
Cortell R. (2006): Effects of viscous dissipation and work done by deformation on the MHD flow and heat transfer of a viscoelastic fluid over a stretching sheet. – Phys. Lett. A, vol. 357 pp.298-305.
Kumar H. (2009): Radiative heat transfer with hydromagnetic flow and viscous dissipation over a stretching surface in the presence of variable heatflux. – Thermal Sci., vol.13, pp.163-169.
Kishan N. and Amrutha P. (2010): Effects of viscous dissipation on MHD flow with heat and mass transfer over a stretching surface with heat source, thermal stratification and chemical reaction. – J. Naval Archit. Marine Eng., vol.7 pp.11-18.
Sujon N. and Parveen N. (2014): Effects of viscous dissipation and heat generation on magneto hydrodynamics natural convection flow along a vertical wavy surface. – American Journal of Applied Mathematics, vol.2, No.6, pp.197-203.
Hossain A.M., Alim M.A. and Rees D.A.S. (1999): Int. J. Heat Mass Transfer, vol.42, pp.181-191.
Makinde O.D. (2005): Free convection flow with thermal radiation and mass transfer past a moving vertical porous plate. – Int. Comm. Heat Mass Transfer, vol.32, No.10, pp.1411–1419.
Kulkarni P.S. and Patil P.M. (2008): Effects of chemical reaction on free convective flow of a polar fluid through a porous medium in the presence of internal heat generation. – Int. J. Therm. Sci., vol.47, No.8, pp.1043-1054.
Chambre P.L. and Young J.D. (1958): On the diffusion of a chemically reactive species in a laminar boundary layer flow. – Phys. Fluids Flow, vol.l1, pp.48-54.
Chen T.S. and Yuh C.F. (1980): Combined heat and mass transfer in natural convection along vertical cylinder. – International Journal of Heat Mass Transfer, vol.23, No.4, pp.451–461.
Das U.N., Dekha R.K. and Soundalgekar V.M. (1999): Effect of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction. – The Bulletin, GUMA, vol.5, pp.13-20.
Muthucumarswamy R. (2002): Effects of chemical reaction on a moving isothermal vertical surface with suction. – Acta Mech., vol.155, pp.65-70.
Seddek M.A. (2005): Finite-element method for the effects of chemical reaction, variable viscosity, thermophoresis and heat generation/absorption on a boundary-layer hydro magnetic flow with heat and mass transfer over a heat surface. – Acta Mech., vol.177, pp.1-18.
Raptis A. and Perdikis C. (2006): Viscous flow over a non-linearly stretching sheet in the presence of a chemical reaction and magnetic field. – Int. J. Non-Linear Mech., vol.41, pp.527–529.
El-Kabeir S.M. and Abdou M. (2007): Chemical reaction, heat and mass transfer on MHD flow over a vertical isothermal cone surface in micropolar fluids with heat generation/absorption. – Appl. Math. Sci., vol.1, No.34, pp.1663–1674.
Sudheer Babu M. and Satyanarayana P.V. (2009): Effects of the chemical reaction and radiation absorption on free convection flow through porous medium with variable suction in the presence of uniform magnetic field. – Journal of Heat and Mass Transfer, vol.3, pp.219-234.
Mahapatra N., Dash G.C., Panda S. and Acharya M. (2010): Effects of chemical reaction on free convection flow through a porous medium bounded by a vertical surface. – Journal of Engineering Physics and Thermophysics, vol.83, No.1, pp.130-140.
Chandra Shekar B. and Kishan N. (2015): Radiation effects on unsteady MHD convective heat and mass transfer past a vertical plate with chemical reaction and viscous dissipation. – Alexandria Engineering Journal, vol.54, pp.661–671.
Ibrahim S.M. and Suneetha K. (2016): Effects of thermal diffusion and chemical reaction on MHD transient free convection flow past a porous vertical plate with radiation, temperature gradient dependent heat source in slip flow regime. – Journal of Computational and Applied Research in Mechanical Engineering, vol.5, No.2, pp.83-95.
Yamamoto K. and Iwamura N. (1976): Flow with convection acceleration through a porous medium. – J. Eng. Math., vol.10, No.1, pp.41-54.
Raptis A. and Singh A.K. (1985): Free convection flow past an impulsively started vertical plate in a porous medium by finite difference method. – Astrophys. Space Sci., vol.112, pp.259-265.
Sattar M.A., Rahman M.M. and Alam M.M. (2000): Free convection flow and heat transfer through a porous vertical flat plate immersed in a porous medium. – J. Energy Res., vol.22, No.1, pp.17-21.
Samad M.A. and Rahman M.M. (2006): Theramal radiation interaction and unsteady MHD flow past a vertical porous plate immersed in a porous medium. – Journal of Naval Architechture and Marine Engineering, vol.3, No.2, pp.7-14.
Sharma P.R. and Singh G. (2008): Unsteady MHD free convective flow and heat transfer along a vertical porous plate with variable suction and internal heat generation. – Int. J. Appl. Math and Mech., vol.4, pp.1-8.
Sharma P.R., Dadkeech I.K. and Singh G. (2012): Heat and mass transfer effects on unsteady MHD free convective flow along a vertical porous plate with internal heat generation and variable suction. – Int. J. of Math Archive, vol.3, No.5, pp.2163-2172.
Cogley A.C., Vincent W.G. and Giles S.E. (1968): Differential approximation to radiative heat transfer in a nongrey gas near equilibrium. – AIAA J, vol.6, pp.551-553.
Shercliff J.A. (1965): A Text Book of Magnetohydrodynamics. – London: Pergamon Press.
Cramer K.P. and Pai S.I. (1973): Magneto Fluid Dynamics for Engineers and Applied Physics. – New York: McGraw-Hill Book Co..
Eckert E.R.G. and Drake R.M. (1979): Heat and Mass Transfer. – New Delhi: Tata McGraw-Hill, 2nd Ed..
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