International Journal of Mathematics and Computational Science
Articles Information
International Journal of Mathematics and Computational Science, Vol.1, No.1, Feb. 2015, Pub. Date: Jan. 26, 2015
Chemical Reaction and Soret Effects on Unsteady MHD Flow of a Viscoelastic Fluid Past an Impulsively Started Infinite Vertical Plate with Heat Source/Sink
Pages: 5-14 Views: 4449 Downloads: 1422
Authors
[01] S. Mohammed Ibrahim, Dept of Mathematics, Priyadarshini College of Engineering & Technology, Nellore, A. P, India.
[02] K. Suneetha, Dept of Mathematics, Priyadarshini College of Engineering & Technology, Nellore, A. P, India.
Abstract
An analytical solution of unsteady magnetohydrodynamic flow of visco-elastic fluid past an impulsively started infinite vertical plate in presence of chemical reaction, Soret and heat source/sink is studied. The governing equations are solved analytically using a regular perturbation technique. The expressions for velocity, temperature and concentration fields are obtained. With the aid of these, the expressions for the coefficient of skin friction, the rate of heat transfer in the form of Nusselt number and the rate of mass transfer in the form of Sherwood number are derived. Finally the effects of various physical parameters of the flow quantities are studied with the help of graphs and tables.
Keywords
MHD, Heat Source/Sink, Chemical Reaction, Soret Number, Visco-Elastic Fluid
References
[01] O. Hassager. in: Working group on numerical techniques, in: Proceedings of the fifth workshop on numerical methods in non-newtonian flow. J. Non-Newton. Fluid Mech. 1988, 29, 2-5.
[02] M.F. Tomé; A. Castelo; V.G. Ferreira; S. McKee. J. Non-Newtonian Fluid Mech. 2008, 154, 179–206.
[03] K. R. Rajagopal, T. Y. Na and A. S. Gupta, “Flow of Visco-Elastic Fluid over a Stretching Sheet,” Rheol Acta, Vol. 23, 1984, pp. 213-215.
[04] B. Siddappa and S. Abel, “Non-Newtonian flow past a stretching plate,” Zeitschrift für Angewandte Mathematik und Physik (ZAMP), Vol. 36, 1985, pp. 890-892.
[05] T.G Cowling (1957), Magnet hydrodynamics, Wiley Inter Science, New York.
[06] K.P Crammer and S.I Pai (1973), Magneto fluid dynamics for engineering and applied physics, McGraw – Hill Book Co, New York.
[07] C C Chang and J.T Yen (1961), Magnetohydrodynamic channel flow under time dependent pressure gradient, Phys. Fluids, Vol 4, 1355 – 1361.
[08] M.K Mazumdar and R.K Deka (2007), MHD flow past an impulsively started infinite vertical plate in presence of thermal radiation, Romanian Journal of Physics, Vol. 52, No. 5 – 6, pp. 529 -535.
[09] M.K Chowdhury and M.N Islam, (2000) MHD free convection flow of visco-elastic fluid past an infinite vertical porous plate, Heat and Mass Transfer, Vol. 36, pp. 439-447.
[10] G Astarita (1967), Mass transfer with Chemical reaction, Elsevier Publishing Company, Amsterdam.
[11] A Apelblat (1982), Mass transfer with a chemical reaction of the first order effect of axial diffusion, The Chemical Engineering Journal, Vol. 23, No. 2, pp. 93 – 103.
[12] R Saravana., S Sreekanth., S Sreenadh and R Hemadri Reddy (2011), Mass transfer effects on MHD viscous flow past an impulsively started infinite vertical plate with constant mass flux, Advances in Applied Science Research, Vol. 2, No.1, pp. 221 – 229.
[13] G.C Dash., P.K Rath, N Mohapatra and P.K Dash (2009), Free convective MHD flow through porous media of a rotating visco-elastic fluid past an infinite vertical porous plate with heat and mass transfer in presence of chemical reaction, AMSE Model B, Vol. 78, No. 4, pp. 21-37.
[14] S.M. Alharbi, Mohamed A. A. Bazid, Mahmoud S. El Gendy, Heat and mass transfer in MHD viscoelastic fluid flow through a porous medium over a stretching sheet with chemical reaction, Applied Mathematics, Vol. 1, pp. 446-455.
[15] R Sivaraj and B Rushi Kumar (2013), Chemically reacting dusty viscoelastic fluid flow in an irregular channel with convective boundary. Ain Shams Engineering Journal 4, 93-101.
[16] Das, U.N., R.K. Deka, and V.M. Soundalgekar (1994). Effects of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction. Forsch. Ingenieurwes 60, 284-287.
[17] Bodasa, G. and Borkakati, A. K.: Bulletin of Pure and Applied Sciences. Vol. 21E (No. 2); p. 451-460, (2002).
[18] Abo-Eladahab Emad M, El-Aziz Mohamed A. Blowing/suction effect on hydromagnetic heat transfer by mixed convection from an inclined continuously stretching surface with internal heat generation/absorption. Int. J. Therm. Sci 2004, 43, 709-719.
[19] Bataller R.C, Effects of heat source/sink, radiation and work done by deformation on the flow and heat transfer of a viscoelastic fluid over a stretching sheet. Comput Math Appl 2007, 53, 305-316.
[20] Abel M.S and Nandeppanavar Mahantesh M, Heat transfer in MHD viscoelastic boundary layer flow over a stretching sheet with non-uniform heat source/sink. Commun Nonlinear Sci Numer Simul 2009, 14, 120-131.
[21] Vajravelu, K and. Hadyinicolaou, A Convective heat transfer in an electrically conducting fluid at a stretching surface with uniform free stream, Internat. J. Engng. Science, Vol. 35, No. 12-13, pp. 1237-1244, 1997.
[22] M Umamaheswar., S.V.K Varma and M.C Raju (2013), Unsteady MHD free convective visco-elastic fluid flow bounded by an infinite inclined porous plate inn presence of heat source, viscous dissipation and ohmic heating, International Journal of Advanced Science and Technology, Vol. 61, pp. 39 – 52.
[23] Kinyanjuli., J.K Kwanza and S.M Uppal (2001), Magneto hydrodynamic free convection heat and mass transfer of a heat generating fluid past an impulsively started infinite vertical porous plate with hall current and radiation absorption, Energy Conversion and Management, Vol. 42, No. 8, pp. 917 – 931.
[24] B.I Olajuwon and J.I Oahimire, (2014) Effect of thermal diffusion and chemical reaction on heat and mass transfer in an MHD micropolar fluid with heat generation. Afrika Matematika 25, 911-931.
[25] M Bhavana., D Chenna Kesavaiah and A Sudhakaraiah ( 2013), The Soret effect on free convective unsteady MHD flow over a vertical plate with heat source, Int. J. of Innovative Research in Science, Engineering and Technology, Vol. 2. No. 5, pp. 1617 – 1628.
[26] K Choudhary and A Sharma (2014), Influence of soret effect on MHD mixed convection flow of visco-elastic fluid past a vertical surface with hall effect, Int. J. of Applied Mechanics and Engineering, 2014, vol.19, No.1, pp.79-95.
[27] N Ahmed (2012), Heat and mass transfer in Hartman flow with Soret effect in presence of a constant heat source, Turkish J of Phy, Vol 33, pp. 446 – 460.
[28] N Ahmed (2012) Soret and radiation effects on transient MHD free convection from an impulsively started infinite vertical plate, Journal of Heat Transfer (ASME), Vol. 134, pp. 1 – 9.
[29] M Turkyilmazoglu and I Pop (2012), Soret and heat source effects on the unsteady radiative MHD free convection flow from an impulsively started infinite vertical plate, International Journal of Heat and Mass Transfer, Vol. 55, No. 25-26, pp. 7635-7644.
600 ATLANTIC AVE, BOSTON,
MA 02210, USA
+001-6179630233
AIS is an academia-oriented and non-commercial institute aiming at providing users with a way to quickly and easily get the academic and scientific information.
Copyright © 2014 - American Institute of Science except certain content provided by third parties.