Heat and Mass Transfer over an Unsteady Stretching Surface Embedded in a Porous Medium in the Presence of Variable Chemical Reaction
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.
[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
[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
@article{"International Journal of Engineering, Mathematical and Physical Sciences:60293", author = "T. G. Emam", title = "Heat and Mass Transfer over an Unsteady Stretching Surface Embedded in a Porous Medium in the Presence of Variable Chemical Reaction", 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.", volume = "5", number = "2", pages = "159-5", }
