IJSER Home >> Journal >> IJSER
International Journal of Scientific and Engineering Research
ISSN Online 2229-5518
ISSN Print: 2229-5518 8    
Website: http://www.ijser.org
scirp IJSER >> Volume 3,Issue 8,August 2012
Radiation Effects on Unsteady Free Convection Heat and Mass Transfer in a Walters-B Viscoelastic Flow Past an Impulsively started Vertical Plate
Full Text(PDF, )  PP.720-728  
U. Rajeswara Rao, V. Ramachandra Prasad, G. Viswanath, B. Vasu
Biotechnology processing; Finite difference method; Heat and Mass transfer; Impulsively started vertical plate; Radiation, Schmidt number; Unsteady viscoelastic flow, Walters–B short memory model.
A numerical solution of the unsteady radiative, free convection flow with heat and mass transfer of an incompressible viscoelastic fluid past an impulsively started vertical plate is presented here. The Walters-B liquid model is employed to simulate medical cream manufacturing, chemical engineering, and medical biotechnological applications. This rheological model introduces a supplementary terms into the momentum conservation equation. The dimensionless unsteady, coupled and non-linear partial differential conservation equations for the boundary layer regime are solved by an efficient and accurate finite difference scheme of the Crank -Nicolson type. The velocity ,temperature and concentration fields have been studied for the effect of Prandtl number (Pr), Viscoelasticity parameter (G ), Schmidt number (Sc), Buoyancy ratio parameter (N), Radiation parameter (F). The local skin-friction., Nusselt number and Sherwood number are also presented and analysed graphically. It is also observed that, when the viscoelasticity parameter (G) increases, the velocity increases close to the plate surface. An increase in Schmidt number, observed significantly to decrease both velocity and concentration. The present results are compared with available results in literature and are found to be in good agreement.
[1] Stokes G.G(1995), On the effect of internal friction of fluids on the motion of pendulums, Cambridge Phil. Trans., Vol. IX, pp. 8-106.

[2] Stewartson, K., On the impulsive motion of a flat plate in a viscous fluid Quart. J. Mech. Appl. Mathematics, 4 (1951), pp. 182-198.

[3] Hall M.G.(1969),Boundary layer over an Impulsively started flat plate, Proc.yal Soc.,London, Vol.310A, pp.414.

[4] Soundalgekar, V.M.,(1977) Free convection and mass transfer effects on the viscoelastic flow past an impulsively-started vertical plate, ASME J. Applied Mechanics, 46 (1979), pp. 757-760.

[5] Raptis. A and Singh. A. K (1985), free convection flow past an impulsively started vertical plate in a porous medium by finite difference method. Astro physics and Space Science. Vol. 112, pp. 259-265.

[6] K. Walters, non-Newtonian effects in some viscoelastic liquids whose behavior at small ratesof shear is characterized by a general linear equations of state, Quart. J. Mech. Applied Math, 15(1962), 6. pp. 63-76.

[7] Das U . N., Deka R.K and V. M. Soundalgekar (1994) studied, the mass transfer effects onthe flow past an impulsively started infinite vertical plate with a constant mass flux and chemical reaction. J. of Theo. Appl. Fluid Mech , 1 (2)(1996) 111-115.

[8] R.Muthucumaraswamy. P.Ganesan, Unsteady flow past an impulsively started semi–infinite vertical plate with heat and mass transfer, J. of heat and mass trans., 34(1998), pp187-193.

[9] Muthucumaraswamy.R. and Ganesan. P.(2001) studied the the first order chemical reaction onflow past an impulsively started vertical plate with uniform heat and mass flux Acta. Mech. Vol. 147, pp.45-47.

[10] Muthucumaraswamy.R. and Ganesan. P. (1999) Flow past an impulsively started vertical plate with variable temperature and mass flux. J.Of Heat and Mass Transfer,Vol.34, pp.487-493.

[11]. Cess R .D. , The interaction of thermal radiation with free convection heat and mass transfer. Int .J .of heat and mass transfer 9 (1966) pp 1269 - 1277.

[12] Vedat S.Arpaci(1968), effect if thermal radiation on the laminar free convection from a heatedvertical plate , Int. J. Heat and Mass Transfer, Vol. 11, pp.871-881.

[13] Cheng E.H. and Ozisik M.N (1972), Radiation with free convection in an absorbing, emitting and scattering medium. Int. J. Heat and Mass Transfer, Vol. 15, pp.1243-1252. [14] Raptis. A. (1998) Radiation and free convection flow through a porous medium, Int.Commun. Heat and Mass transfer , Vol. 25, pp.289-295.

[15] Hossain. M. A. And Takhar H.S (1996), Radiation effect on mixed convection along a vertical plate with uniform surface temperature, Heat mass transfer , Vol.31, pp. 243-248.

[16] Mansour. M. H. (1990) Radiative and free convection effects on the oscillatory flow past a vertical plate. Astro physics and Space Science, Vol. 166, pp. 26-75.

[17] Raptis .A. and Perdikis .C (1999), Radiation and free convection flow past a moving plate. Appl. Mech.Eng., Vol. 4, pp. 817-821.

[18] U .N. Das, R. Deka and V. M. Soundalgekar studied, The radiation effects on flow past an Impulsively started infinite vertical plate. J. of Theo. Appl. Fluid Mech , 1 (2)(1996) 111-115.

[19] T. B .Chang Beg, O. Anwar and M. Narahari analysed, the unsteady buoyance-driven flow and species diffusion in a Walters-B viscoelastic flow along a vertical plate with transition effects. J. Theoretical Applied Mechanics, review (2009).

[20] V. R. Prasad, N. Bhaskar Reddy and R. Muthucumaraswamy, Radiation and mass transfer effects on two-dimensional flow past an impulsively started infinite vertical plate. Int. J. of Thermal Sciences, 46, 12 (2007), pp.1251-1258.

[21] Chamkha A . J., Takhar. H. S , analysed, The effects of radiation on free convection flow past a semi-infinite vertical plate with mass transfer. Chem. Eng. J .Vol .84(2001),pp.335-342.

[22] A . A .Raptis and H .S. Takhar studied, Flate thermal convection boundary layers flow of a Walters-B fluid usig numerical shooting quadrature. Int . Comm. Heat and Mass Transfer. 16, (1989) , 2, pp. 193 - 197.

[23] Frank.P.andDawitt.P.Dewitt.,Fundamentals of heat and mass transfer, Fifth edition, Jhon Wiley, 2007.

Untitled Page