MHD Convective Heat and Mass Transfer Flow of a Newtonian Fluid Past a Vertical Porous Plate with Chemical Reaction, Radiation Absorption and Thermal Diffusion

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In this manuscript, we have investigated the influence of radiation absorption on an unsteady MHD convective heat and mass transfer flow of a Newtonian fluid past a vertical porous plate in the presence of thermal radiation and chemical reaction. The non dimensional governing equations have been solved by using a multiple perturbation method, subject to the corresponding boundary conditions. The effects of various physical parameters such as velocity, temperature and concentration are studied through graphs. The expressions for local skin friction, Nusselt number and Sherwood number are derived and discussed with the help of a table. It is noticed that velocity increases when an increase in modified Grashof number Gm, radiation absorption parameter χ, Sorret number S0, time t whereas it decreases when an increase in Schmidt number Sc, chemical reaction parameter Kr and radiation parameter F. Temperature increases with an increase in radiation parameter χ and Sorret number S0 whereas it decreases with an increase in chemical reaction parameter Kr, F and ϕ. Concentration is observed to be decreased when chemical reaction parameter Kr and Schmidt number Sc increase whereas it increases with an increase in Sorret number S0. Skin friction increases with an increase modified Grashof number Gm, radiation parameter χ and Sorret number S0 whereas it has reverse effect in the case of Schmidt number Sc, chemical reaction parameter Kr. Nusselt number increases with an increase in Sc, S0, χ whereas it has reverse effect in the case of Kr. Sherwood number gets decreased when Sc, χ and Kr both are increased whereas it has shown revere effect in the case of S0.

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37-56

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October 2015

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© 2016 Trans Tech Publications Ltd. All Rights Reserved

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[1] O. D. Makinde, and A. Aziz, MHD mixed convection from a vertical plate embedded in a porous medium with a convective boundary condition, International Journal of Thermal Sciences, vol. 49, pp.1813-1820, (2010).

DOI: 10.1016/j.ijthermalsci.2010.05.015

Google Scholar

[2] A. J. Chamkha, and S.E. Ahmed, Unsteady MHD heat and mass transfer by mixed convection flow in the forward stagnation region of a rotating sphere at different wall conditions, Chemical Engineering Communications, vol. 199, pp.122-141, (2012).

DOI: 10.1080/00986445.2011.575907

Google Scholar

[3] D. Pal and B. Talukdar, Perturbation analysis of unsteady magneto hydro dynamic convective heat and mass transfer in a boundary layer slip flow past a vertical permeable plate with thermal radiation and chemical reaction, Communications in Nonlinear Science and Numerical Simulation, pp.1813-1830, (2000).

DOI: 10.1016/j.cnsns.2009.07.011

Google Scholar

[4] K. D. Singh and R. Pathak, An analysis of an oscillatory rotating MHD Poiseuille. Proc Nat Acad Sci India, vol. 76 (4), pp.201-207, (2010).

Google Scholar

[5] R. Kandasamy, T. Hayat, and S. Obaidat, Group theory transformation for Soret and Dufour effects on free convective heat and mass transfer with thermophoresis and chemical reaction over a porous stretching surface in the presence of heat source/sink, Nuclear Engineering and Design, vol. 241, pp.2155-2161, (2011).

DOI: 10.1016/j.nucengdes.2011.03.002

Google Scholar

[6] J.A. Rao, S. Sivaiah, and R. S. Raju, Chemical effects on an unsteady MHD free convection fluid past a semi-infinite vertical plate embedded in a porous medium with heat absorption, JAFM, vol. 5(3), pp.63-70, (2012).

DOI: 10.36884/jafm.5.03.19446

Google Scholar

[7] R.M. Sonth, S. K. Khan, M. S. Abel, and K. V. Prasad, "Heat and mass transfer in a visco-elastic flow over an accelerating surface with heat source/sink and viscous dissipation. Heat and Mass Transfer, vol. 38(3), pp.213-220, (2002).

DOI: 10.1007/s002310100271

Google Scholar

[8] R. C. Chaudhary, B. K. Sharma and A. K. Jha , Radiation effect with simultaneous thermal and mass diffusion in MHD mixed convective flow., Rom j Phys, vol. 51, pp.715-727, (2006).

Google Scholar

[9] P.K. Sharma, Fluctuating thermal and mass diffusion on unsteady free convective flow past a vertical plate in slip-flow regime, Latin American Applied Research, vol. 35, pp.313-319, (2005).

Google Scholar

[10] R. Muthucumaraswamy and S. Meenakshisundaram, Theoretical study of chemical reaction effects on vertical oscillating plate with variable temperature, Theoret. Appl. Mech, vol. 33(3), pp.245-257, (2006).

DOI: 10.2298/tam0603245m

Google Scholar

[11] A. Ishak, R. Nazar, I. Pop, Magneto hydrodynamic (MHD) Flow and Heat Transfer Due to a Stretching Cylinder, Energy Conversion and Management, 49 (2008) 3265-3269.

DOI: 10.1016/j.enconman.2007.11.013

Google Scholar

[12] J. Kim Unsteady MHD convective heat transfer past a semi-infinite vertical porous moving plate with variable suction, International Journal of Engineering Sciences vol. 38, pp.833-845, (2000).

DOI: 10.1016/s0020-7225(99)00063-4

Google Scholar

[13] A. Rapt, A. Massalas and G. Tzivanidis, Hydromagnetic free convection flow through a porous medium between two parallel plates, Phys Lett 90A, pp.288-289, (1982).

DOI: 10.1016/0375-9601(82)90118-9

Google Scholar

[14] R. Muthuraj and S. Srinivas, Fully developed MHD flow of a micro polar and viscous fluid in a vertical porous space using HAM, Int. J. Appl. Mathematics and Mechanics, vol. 6(11), pp.79-97, (2010).

Google Scholar

[15] V. M. Soudalgekar, Viscous dissipation effects on unsteady free convective flow past an Infinite vertical porous plate with constant suction, International Journal of Heat and Mass Transfer, vol. 15, pp.1253-1263, (1972).

DOI: 10.1016/0017-9310(72)90189-5

Google Scholar

[16] S. P. Anjalidevi and R. Kandaswamy, Effects of chemical reaction, heat and mass transfer on laminar flow along a semi-infinite horizontal plate, Heat and Mass Transfer., vol. 35, pp.465-467, (1999).

DOI: 10.1007/s002310050349

Google Scholar

[17] U. N. Das, R. K. Deka, and V. M. Souderlgekar, Effects of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction, Forschung im Imgenieurwesen, vol. 60, pp.284-287, (1994).

DOI: 10.1007/bf02601318

Google Scholar

[18] F. S. Ibrahim, A. M. Elaiw, and A. A. Bakar, Effects of the chemical reaction and radiation absorption on the unsteady MHD free convection flow past a semi- infinite vertical permeable moving plate with heat source and suction, Communications in Non-Linear Science and Numerical Simulation, vol. 13, pp.1056-1066, (2008).

DOI: 10.1016/j.cnsns.2006.09.007

Google Scholar

[19] R. Kandaswamy, B. Wahib, Md Raj, and B. K. Azme, Effects of chemical reaction, heat and mass transfer in boundary layer flow over a porous wedge with heat radiation in presence of suction or injection, Theatrical Applied Mechanics Belgrade, vol. 33, pp.123-148, (2006).

DOI: 10.2298/tam0602123k

Google Scholar

[20] R. Kandaswamy, K. Periaswamy, and P. K. Sivagnana, Chemical reaction, heat and mass transfer along a wedge with heat source and concentration in the presence of suction or injection, International Journal of Heat and Mass Transfer., vol. 48, pp.1388-1394, (2005).

DOI: 10.1016/j.ijheatmasstransfer.2004.10.008

Google Scholar

[21] A. Mahdy, Effect of chemical reaction and heat generation or absorption on double-diffusive convection from a vertical truncated cone in a porous media with variable viscosity, International Communications in Heat And Mass Transfer, vol. 37, pp.548-554, (2010).

DOI: 10.1016/j.icheatmasstransfer.2010.01.007

Google Scholar

[22] S. Karthikeyan, M. Bhuvaneswari, S. Rajan and S. Sivasankaran, Thermal radiation effects on MHD convective flow over a plate in porous medium, App Math. And Comp. Intel, vol. 2(1), pp.75-83, (2013).

Google Scholar

[23] B. Mamtha, M. C. Raju, S.V.K. Varma, Thermal diffusion effect on MHD mixed convection unsteady flow of a micro polar fluid past a semi-infinite vertical porous plate with radiation and mass transfer, International Journal of Engineering Research in Africa, Vol. 13 (2015).

DOI: 10.4028/www.scientific.net/jera.13.21

Google Scholar

[24] S. Harinath Reddy, M. C. Raju, E. Keshava Reddy, Unsteady MHD free convection flow of a Kuvshinski fluid past a vertical porous plate in the presence of chemical reaction and heat source/sink, International Journal of Engineering Research in Africa Vol. 14 (2015).

DOI: 10.4028/www.scientific.net/jera.14.13

Google Scholar

[25] V. Ravikumar, M.C. Raju, G.S.S. Raju., Theoretical investigation of an unsteady MHD free convection heat and mass transfer flow of a non-Newtonian fluid flow past a permeable moving vertical plate in the presence of thermal diffusion and heat sink, International Journal of Engineering Research in Africa Vol. 15 (2015).

DOI: 10.4028/www.scientific.net/jera.16.90

Google Scholar

[26] M. C. Raju, and S.V.K. Varma, Soret effects due to natural convection in anon-Newtonian fluid flow in porous medium with heat and mass transfer, Journal of Naval architecture and Marine Engineering, Vol. 11 (2), 2014, pp.147-156.

DOI: 10.3329/jname.v11i2.17563

Google Scholar

[27] M. Umamaheswar, S.V.K. Varma, M.C. Raju, Unsteady MHD Free Convective Visco-Elastic Fluid Flow Bounded By an Infinite Inclined Porous Plate In The Presence Of Heat Source, Viscous Dissipation And Ohmic Heating, International journal of Advanced Science and Technology, Vol. 61, pp.39-52.

DOI: 10.14257/ijast.2013.61.05

Google Scholar

[28] V. Ravikumar, M. C. Raju, G.S.S. Raju, S. V. K. Varma, Magnetic field effect on transient free convection flow through porous medium past an impulsively started vertical plate with fluctuating temperature and mass diffusion, International Journal of Mathematical Archive, Vol. 4(6), 198-206, (2013).

DOI: 10.1007/s11242-012-0078-x

Google Scholar

[29] A.C. Cogly, W.G. Vincenti and S.E. Gill, Differential approximation for radiative transfer in a non-gray gas near equilibrium, AIAA J., Vol. 6, pp.551-553, (1968).

Google Scholar