### BUOYANCY AND CHEMICAL REACTION EFFECTS ON MHD FREE CONVECTIVE SLIP FLOW OF NEWTONIAN AND POLAR FLUID THROUGH POROUSMEDIUM IN THE PRESENCE OF THERMAL RADIATION AND OHMIC HEATING WITH DUFOUR EFFECT

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The present paper investigates the effects of thermal radiation, joule heating on an unsteady hydro magnetic free convective flow of a viscous electrically conductive Newtonian and polar fluid past a semi-infinite vertical plate embedded in a porous media in the presence of heat absorption, chemical reaction, slip flow and Dufour effect. Analytical perturbation solutions are obtained for the velocity, temperature and concentration fields as well as for the skin friction coefficient, Nusselt number and Sharewood number. The results are presented in graphical forms to study the effects of various parameters.

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Ede, A.J., “Advances in free convection, advances in heat transfer.” Academic Press, New York, 1967, Vol.4.

Martynenko, O.G., Berzovsky, A.A. and Sokovishin, A.Y. “Laminar free convection from a vertical plate.” Int. J. Heat Mass Transfer. 1984, Vol. 27 (6), P. 869.

Lee, S. and Yovanovich, M.M., “Linearization of natural convection from vertical plate with arbitrary heat flux distribution.” J. Heat Transfer, 1992 , 114, p. 909.

Pantokraters, A., “Laminar free convection in water with variable physical properties adjacent to vertical plate with uniform heat flux”, Int. J. Heat Mass Transfer, 2003, 46, p.725.

Vafai, K. (Ed.), “Handbook of porous media”. Talor & Francis, Baton Roca, FL. 2005

Nield, D.A. and Bejan A., “Convection in porous media.” Third ed., Springer, New York, 2006.

Cheng, P. and Minkowycz, W.J., “Free convection about a vertical flat plate embedded in porous medium with application to heat transfer from a dike.” J.Geophys. Res . 1977, Vol.82 (14), p. 2040-2044.

Helmy, K.A., “MHD Unsteady Free Convection Flow past a Vertical Porous Plate.” ZAMM, 1998, Vol.78 (4), p. 255-270.

Kim, Y.J., “Unsteady MHD convective heat transfer past a semi-infinite vertical porous moving plate with variable suction.” Int. J. Eng. Sci., 2000, Vol.38 (8), p. 833-845.

Das, S.S., Sahoo, S.K. and Dash, G.C., “Numerical solution of mass transfer effects on unsteady flow past an accelerated vertical porous plate with suction.” Bull. Malays. Math. Sci. Soc., 2006, Vol. 29 (1), p. 33-42.

Eringen, A.C., “Simple microfluids.” Int. J. Energy Sci., 1964, Vol.2, p. 205-217.

Eringen, A.C., “Theory of micropolar fluids.” J. Math. Mech., 1966, Vol.16, p.1-18.

Eringen, A.C., “Theory of Thermomicrofluids.” J. Math. Anal. Appl., 1972, Vol. 38, p. 480-496.

Soundalgekar,V.M., “Unsteady free convection flow of an elastico-viscous fluid past an infinite vertical porous plate.” J. Chem. Eng. Sci., 1971, Vol. 26, p. 2043-2050.

Rees, D.A.S. and Pop, I., “Free convection boundary layer flow of a micropolar fluid from a vertical flat plate”, IMA J. Appl. Math.61, 1998, 179-197.

El-Amin, M. F., “Magnetohydrodynamic free convection and mass transfer flow in micropolar fluid with constant suction.” J. Magn.Magn. Mater, 2001, Vol. 234, p. 567-574.

Kim, Y. J., “Heat and Mass transfer in MHD micropolar flow over a vertical moving plate in a porous medium.” Trans Porous Media, 2004, Vol. 56, p. 17-37.

Uddin, Z. , Kumar, Manoj and Harmand, S.,” influence of thermal radiation and heat generation //absorption on MHD heat transfer flow of a micropolar fluid past a wedge with hall and ion slip currents” J. of Thermal Science. 2014, Vol.18 (2), p.489-502.

Umamaheswar, M. et al.: Numerical investigation of MHD free convection flow of a non-Newtonian fluid past an impulsively started vertical plate in the presence of thermal diffusion and radiation absorption. J. Alexandria Engineering Journal., 2016,Vol. 55 (3), p. 2005–2014.

Adrian, P., “Influence of a magnetic field on heat transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects.” Int. J. Heat Mass Transfer, 2004, Vol. 47, p. 1476-1472.

Mahdy, A., “MHD non-Darcian free convection from a vertical wavy surface embedded in porous media in the presence of Soret and Dufour effect”, Int. Commun. Heat Mass Transfer, 2009, Vol. 36 (10), p.1067–1074.

Mahdy, A., “Soret and Dufour effect on double diffusion mixed convection from a vertical surface in a porous medium saturated with a non-Newtonian fluid.” J. Non-Newtonian Fluid Mechanics., 2010, Vol.165, p. 568-575.

Srinivasacharya, D., and Ram Reddy, Ch., “Effects of Soret and Dufour on mixed convection heat and mass transfer in a micropolar fluid with heat and mass fluxes.” Int. J. Appl. Math. Mech., 2010, Vol. 6 (21), p. 8-21.

Pal, D., and Mondal, H., “MHD non Darcian mixed convection heat and mass transfer over non linear stretching sheet with Soret-Dufour effect and chemical suction.” Int. Commun. Heat Mass Transfer., 2011, Vol. 38, p. 463-467.

Pal, D., Mondal, H., “Effect of Soret-Dofour chemical reaction and thermal radiation on MHD non-darcy unsteady mixed convective heat and mass transfer through over a stretching sheet.” Comm.Nonlinear Sci.Numer.Simulation., 2011, Vol. 6, p. 1942-1958.

Hossain, M.M. and Khatun, M., “Study of diffusion-Thermo Effect on laminar mixed convection flow and heat transfer from a vertical surface with induced magnetic field.” Int. J. Appl. Math. Mech., 2012, Vol. 8 (5), p. 40-60.

A.J. Omowaye, A.I. Fagbade, A.O. Ajayi :Dufour and soret effects on steady MHD convective flow of a fluid in a porous medium with temperature dependent viscosity: Journal of the Nigerian Mathematical Society ., 2015 ,Vol.34, p.343–360.

Srinivasa Raju R. : “Effects of Soret and Dufour on natural convective fluid flow past a vertical plate embedded in porous medium in presence of thermal radiation via FEM.” . J of KSIAM., 2016, Vol.20 (4), P.309–332.

Sharma, P. K., and Chaudhary, R.C., “Effect of variable suction on transient free convective viscous incompressible flow past a vertical plate in a slip-flow regime.” Emirates Journal of Engineering Research., 2003, Vol. 8 (2), p. 33-38.

Khandelwal, K., Gupta, A., Poonam, Jain N.C., “The effects of couple stress on the flow through a porous medium with variable permeability in slip flow regime.” Ganita, 2003, Vol. 54 (2), p. 203-212.

Sharma, P.K., “The influence of periodic temperature and concentration on unsteady free convective viscous incompressible flow and heat transfer past a vertical plate in a slip flow.” Matem´aticas: Ense˜nanza Universitaria ., 2005, Vol.13, p. 51-62.

Muthuraj, R., and Srinivas, S., “Influence of magnetic field and wall slip conditions on steady flow between parallel flat wall and a long wavy wall with Soret effect.” J. Nav. Architect. Mar. Eng., 2009, Vol. 6, p. 62–71.

Ellahi R., Shivanian, E., Abbasbandy, S., Rahman, S.U., and Hayat, T.: “Analysis of steady flows in viscous fluid with heat/mass transfers and slips effects”. Int. J. Heat Mass Transfer., 2012, Vol. 55, p. 6384–6390.

Sreenivasulu P. , Poornima T. and Bhaskar Reddy N. : “Thermal radiation effect onMHD boundary layer slip flow past a permeable exponential stretching sheet in the presence of joule heating and viscous dissipation” .Journal of Applied Fluid Mechanics, 2016,Vol. 9 (1), p. 267-278.

Kayalvizhi , M. , Kalaivanan, R. , Vishnu Ganesh , N. and Ganga B.: “Velocity slip effects on heat and mass fluxes of MHD viscous–Ohmic dissipative flow over a stretching sheet with thermal radiation”, Ain Shams Engineering Journal., 2016, Vol.7, p.791–797.

Kandasamy, R., Periasamy, K., and Prabhu, K.K.S., “Chemical reaction, heat and mass transfer on MHD flow over a vertical stretching surface with heat source and thermal stratification effects.” Int. J. Heat Mass Transfer, 2005, Vol. 48 (21-22), p. 4557–4561.

Chaudhary, R.C., Jha, A.K., “Effects of chemical reaction on MHD micropolar fluid flow past a vertical plate in slip flow regime.” J. Appl. Math. Mech., 2006, Vol. 29 (9), p. 1-16.

Patil, P.M., and Kulkarni, P.S., “Effect of chemical reaction on free convective flow of a polar fluid through porous medium in the presence of thermal heat generation.” Int. J. Therm. Sci., 2008, Vol. 47, p. 1043-1054.

Pal, D. and Talukdar, B., “Buoyancy and chemical reaction effects on MHD mixed convection heat and mass transfer in porous medium with thermal radiation and ohmic heating.” Comm. Nonlinear Sci. Nume. Simulation., 2010, Vol. 15 (10), p. 2878-2893.

Pal, D. and Mondal, H., “MHD non-Darcian mixed convection heat and mass transfer over a non-linear stretching sheet with Sore-Dufour effects and chemical reaction.” Int. Commun. Heat Mass Transfer., 2011, Vol. 38 (4), p. 463–467.

Surya Narayana Reddy, K., Sreedhar, M. Babu, S. Vijaya Kumar Varma and Bhaskar Reddy, N., “Hall Current And Dufour Effects On Mhd Flow Of A Micropolar Fluid Past A Vertical Plate In The Presence Of Radiation Absorption And Chemical Reaction” IOSR Journal of Mathematics, 2014, Vol. 10 A (204),p.106-121.

Jonnadula Manjula, et al.:” Influence of Thermal Radiation and Chemical Reaction on MHD Flow, Heat and Mass Transfer over a Stretching Surface”. Procedia Engineering, 2015,Vol.127 , P.1315-1322.

Rawat, S. , Kapoor, S. and Bhargava, R. : “MHD Flow Heat and Mass Transfer of Micropolar Fluid over a Nonlinear Stretching Sheet with Variable Micro Inertia Density, Heat Flux and Chemical Reaction in a Non-darcy Porous Medium”. J. of Appl. Fluid Mech., 2016, Vol. 9 (1), P. 321-331.

Murthy, S.N., Feyen, J., “Influence of variable permeability on the dispersion of a chemically reacting solute in porous media.” Int. J. Eng. Sci.,Vol., 1989, 27 (12), p. 1661-1671.

Hassanien, I.A., and Obied Allah, M.H., “Oscillatory hydromagnetic flow through a porous medium with variable permeability in the presence of free convection and mass transfer flow.” Int. Commu. Heat Mass Transfer, 2002, Vol. 29, p. 567-575.

Mahmoud, M.A.A. , “Thermal radiation effects onMHD flow of amicropolar fluid over a stretching surface with variable thermal conductivity”, Physica A 375, 2007, p. 401-410.

Ibrahim, F.S., Elaiw, A.M., Bakr, A.A., “Influence of viscous dissipation and radiation on unsteady MHD mixed convection flow of micropolar fluids.” Appl. Math. Inform. Sci., 2008, Vol. 2, p. 143-162.

Makinde, O.D., andMoitsheki, R.J., “On non-perturbative techniques for thermal radiation effect on natural convection past a vertical plate embedded in a saturated porous medium.” Math. Prob. Eng., 2008, 689074 (11p.).

Das, K., “Effect of chemical reaction and thermal radiation on heat and mass transfer flow of MHD micropolar fluid in a rotating frame of reference.” Int. J. Heat Mass Transfer, 2011, Vol. 54 , p. 3505–3513.

Sreenivasulu P. , Poornima T. and Bhaskar N. Reddy .: Thermal Radiation Effects on MHD Boundary Layer Slip Flow Past a permeable Exponential Stretching Sheet in the Presence of Joule Heating and Viscous Dissipation. Journal of Applied Fluid Mechanics.,2016, Vol. 9 (1), p. 267-278,

Dyke V.M, “ perturbation method in fluid mechanics.” parabolic press, 1995

Rees, D.A.S. and Bossom, A.P., “The Blasisun boundary layer flow of micropolar fluid,” Int. Eng. Sci., 1996, Vol. 34, p. 113.

DOI: https://doi.org/10.22190/FUMI1801001C

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