Heat and Mass Transfer over an Unsteady Stretching Surface Embedded in a Porous Medium in the Presence of Variable Chemical Reaction

Authors: T. G. Emam

Abstract:

The effect of variable chemical reaction on heat and mass transfer characteristics over unsteady stretching surface embedded in a porus medium is studied. The governing time dependent boundary layer equations are transformed into ordinary differential equations containing chemical reaction parameter, unsteadiness parameter, Prandtl number and Schmidt number. These equations have been transformed into a system of first order differential equations. MATHEMATICA has been used to solve this system after obtaining the missed initial conditions. The velocity gradient, temperature, and concentration profiles are computed and discussed in details for various values of the different parameters.

Keywords: Heat and mass transfer, stretching surface, chemical reaction, porus medium.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1076934

References:

[1] U.N. Das Deka and V.M.Soundalgekar, effects of mass transfer on flow past an impulsively started infinite vertical plate with uniform heat flux and chemical reaction. Forsch.ingenieurwes, 1994
[2] H.I. Anderson, Hansen and Holmedal, diffusion of a chemically reactive species from a linear stretching sheet.Int. J . Heat Mass Transfer, 37:659- 664, 1994
[3] R. Muthucumaraswamy, and S. Meenakshisundaram, Theoretical study of chemical reaction effects on vertical oscillating plate with variable temperature. Theoret. Appl. Mech., vol.33, No.3, pp.245-257, 2006
[4] R. Muthucumaraswamy, and P. Ganesan, on impulsive motion of a vertical plate with heat flux and diffusion of chemical reactive species. Forsch.Ingenieurwe, 2000
[5] R Muthucumaraswamy,and P. Ganesan, First order chemical reaction on the unsteady flow past an impulsively started vertical plate with uniform heat and mass flux. Acta Mech,147:45, 2001
[6] R. Muthucumaraswamy,effects of suction on heat and mass transfer along a moving vertical surface in the presence of a chemical reaction. Forsch.Ingenieurwe., 67:129-132, 2002
[7] R. Muthucumaraswamy, and M. Radhakrishnan, Mass transfer with chemical reaction on unsteady flow past an accelerated isothermal infinite vertical plate. Journal of Engineering ISSN 1584-2673, 2009
[8] H.A.M. EL-Arabawy, Exact solution of mass transfer over stretching surface with chemical reaction and suction/injection. Math., stat., 5(3):159- 166, 2009
[9] P.Loganathan, T. Kulandaivel,and R. Muthucumaraswamy, First order chemical reaction on moving semi-infinite vertical plate in the presence of optically thin gray gas. J.of Appl. Math. And Mech. 4(5):26-41, 2008
[10] R. Rajeswari, B. Jothiram ,and V.K.Nelson, Chemical reaction, Heat and Mass Transfer on nonlinear MHD boundary layer flow through a vertical porous surface in the presence of suction. J. Applied Mathematical science, vol.3,no.50,2469-2480, 2009
[11] R. Kandasamy, I. Hashim, Muhaimin, and Ruhaila, Effects of variable viscosity, Heat and Mass transfer on nonlinear mixed convection flow over a porous wedge with heat radiation in the presence of homogenous chemical reaction. Journal of engineering and Applied sciences. ISSN 1819-6608, 2007
[12] R. Muthucumarasawamy, effects of a chemical reaction on a moving isothermal vertical surface with suction, Acta Mehanica, 155, 65-70, 2002
[13] M.A.A. Mahmoud, Chemical reaction and variable viscosity effects on flow and mass transfer of a non-Newtonian visco-elastic fluid past a stretching surface embedded in a porous medium. J.Meccanica, DOI 10.1007/s11012-010-9292-1, 2010
[14] B.R. Bird, W.E.Stewart and E.N. Lightfoot, Transport phenomena.John Wiley and Sons,New York, USA., ISBN:0-471-41077-2,PP:164, 2002