##### Title: Free Convection Heat and Mass Transfer MHD Flow in a Vertical Channel in the Presence of Chemical Reaction

##### Pages: 151-181

##### Cite as:

R. N. Barik, Free Convection Heat and Mass Transfer MHD Flow in a Vertical Channel in the Presence of Chemical Reaction, Int. J. Anal. Appl., 3 (2) (2013), 151-181.#### Abstract

An analysis is made to study the effects of diffusion-thermo and chemical reaction on fully developed laminar MHD flow of electrically conducting viscous incompressible fluid in a vertical channel formed by two vertical parallel plates was taken into consideration with uniform temperature and concentration. The analytical solution by Laplace transform technique of partial differential equations is used to obtain the expressions for the velocity, temperature and concentration. It is interesting to note that during the course of computation, the transient solution at large time coincides with steady state solution derived separately and the diffusion-thermo effect creates an anomalous situation in temperature and velocity profiles for small Prandtl numbers. The study is restricted to only destructive reaction and non-conducting case cannot be derived as a particular case still it is quite interesting and more realistic than the earlier one.

##### Full Text: PDF

#### References

- Jha, B.K., Ajibade, A.O. (2010): Free convection heat and mass transfer flow in a vertical channel with the Dufour Effect. Proc. IMechE : J. Process Mechanical Engineering, Vol.224 PartE:pp. 91-101.
- Soundalgekar, V.M. and Akolkar, S.P.( 1983): Effects of free convective currents and mass transfer flow past a vertical oscillating plate. Astrophys. Space Sci., Vol. 89:pp.241-254.
- Kafoussias, N.G. and Williams, E.W. (1995): Thermal-diffusion and diffusion-thermo effects on mixed free-forced convective and mass transfer boundary layer flow with temperature dependent viscocity. Int. J. Eng. Sci.,Vol.33(9):pp.1369-1384.
- Jha, B.K. and Singh, A.K.( 1990): Soret effects on free convection and mass transfer flow in stokes problem for an infinite vertical plate. Astrophys, Space Sci., Vol.173:pp.251-255.
- Kafoussias, N.G.( 1992): MHD thermal diffusion effects on free convective and mass transfer flow over an infinite vertical moving plate. Astrophys Space Sci., Vo l.192:pp.11-19.
- Alam, M.S., Rahman, M.M. and Samad, M.A.( 2006): Dufour and Soret effects on unsteady MHD free convection and mass transfer flow past a vertical porous plate in a porous medium. Nonlinear Anal, Model, Control, Vol.11(3):pp. 217-226.
- Alam, M.S., Rahman, M.M., Ferdous, M., Maino, K., Mureithi, E. and Postelnicu, A. (2007): Diffusion-thermo and thermal-diffusion effects on free convective heat and mass transfer flow in a porous medium with time dependent temperature and concentration. Int. J. Appl. Eng. Res., Vol.2(1):pp.81-96.
- Beg, O.A., Beg, T.A., Bakier, A.Y., and Prasad, V.R.,( 2009): Chemically-reacting mixed convective heat and mass transfer along inclined and vertical plates with soret and Dufour effects: numerical solution. Int. J. Appl. Math. Mech., Vol.5(2):pp. 39-57.
- Dursunkaya, Z and Worek, M.W.( 1992): Diffusion – thermo and thermal-diffusion effects in transient and steady natural convection from a vertical surface. Int. J. Heat, Mass Transfer,Vol.35(8),pp.2060-2065.
- Aberu, C.R.A., Alfradique, M.F.and Telles, A.S.( 2006): Boundary layer flows with Dufour and Soret effects: I: Forced and natural convection. Chemical Engineering Science,Vol. 61,pp.4282-4289.
- Osalusi, E., Side, J., Haris, R.(2008): Thermal diffusion and thermo-diffusion effect on combined heat and mass transfer of a steady MHD convective and slip flow due to a rotating disk with viscous dissipation and ohmic heating, International Communications in Heat and Mass Transfer, Vol.35(8):pp. 908-915.
- Anghel,M.,Takhar,H.S.,Pop,I.(2000): Dufour and Soret effects on free convection boundary layer over a vertical surface embedded in a porous medium. Stud.Unvi.Babes.BolyaiMath.,xlv,11-21.
- Postelnicu,A.(2004): Influence of a magnetic field on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects.Int.J.Heat MassTransf.,47,1467-1472.
- Gebhart,B.,Pera,L.,(1971):The nature of verticalnatural convection flows resulting from the combined buoyancy effects of thermal mass diffusion. Int.J.Heat and Mass Transfer,vol.14:p.2925-2050.
- Das,U.N.,Deka,R.,Soundalgekar,V.M.,(1994):Effects mass transfer on the flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction. Forschung im Ingenieurwesen-Engineering Research,60,284-287.
- Saxena, S.S., and Dubey, G.K. (2011): Unsteady MHD heat and mass transfer free convection flow of a polar fluid past a vertical moving porous plate in a porous medium with heat generation and thermal diffusion. Advances in Applied Science Research, 2(4), pp: 259-278.
- Raveendra Babu, K., Vijaya Kumar A.G., Varma, S.V.K. (2012): Diffusion-thermo and radiation effects on MHD free convective heat and mass transfer flow past an infinite vertical plate in the presence of a chemical reaction of first order. Advances in Applied Science Research, 3 (4):2446-2462.
- Sudhakar, K., Srinibasa Raju, R., Rangamma, M. (2012): Chemical reaction effect on an unsteady MHD free convection flow past an infinite vertical accelerated plate with constant heat flux, thermal diffusion and diffusion thermo. International journal of Modern Engineering Research vol.2 (5), pp. 3329-3339.
- Cramer, K. R. and Pai, S.I. (1973): Magenetofluid dynamics for engineers and applied physics – Scripta Publishing Company, Mc. Graw Hill.