The effect of a chemical reaction on a free convection flow through a porous medium bounded by a vertical infinite surface has been studied. Velocity, temperature, and concentration profiles have been obtained for different values of parameters like the Grashof number, Prandtl number, and the chemical reaction parameter in the presence of homogeneous chemical reaction of first order. It is observed that the velocity and concentration increase during a generative reaction and decrease in a destructive reaction. The same is true for the behavior of the fluid temperature. The presence of the porous media diminishes the temperature.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
B. Gebhart and L. Pera, The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal diffusion, Int. J. Heat Mass Transfer, 14, No. 12, 2025–2050 (1971).
R. Byon Bird, W. E. Stewart, and E. N. Lightfoot, Transport Phenomena, John Wiley and Sons, New York (1992).
E. L. Cussler, Diffusion Mass Transfer in Fluid Systems, Cambridge University Press, London (1988).
A. Apelblat, Mass transfer with a chemical reaction of the first order. Effects of axial diffusion, Chem. Eng. J., 23, No. 2, 193–203 (1982).
U. N. Das, R. Deka, and V. M. Soundalgekar, Effects of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction, Forschung im Ingenieurwesen, 60, No. 10, 284–287 (1994).
H. I. Andersson, O. R. Hansen, and B. Holmedal, Diffusion of a chemically reactive species from a stretching sheet, Int. J. Heat Mass Transf., 37, No. 4, 659–664 (1994).
H. S. Takhar, A. J. Chamkha, and G. Nath, Flow and mass transfer on a stretching sheet with a magnetic field and chemically reactive species, Int. J. Eng. Sci., 38, No. 12, 1303–1314 (2000).
R. Muthucumarswamy and P. Ganesan, Effect of the chemical reaction and injection on flow characteristics in an unsteady upward motion of an isothermal plate, J. Appl. Mech. Tech. Phys., 42, No. 4, 665–671 (2001).
A. J. Chamkha, MHD flow of a uniformly stretched vertical permeable surface in the presence of heat generation/absorption and a chemical reaction, Int. Commun. Heat Mass Transfer, 30, No. 3, 413–422 (2003).
R. Kandasamy, K. Periasamy, and K. K. Sivagnana Prabhu, Effects of chemical reaction, heat and mass transfer along a wedge with heat source and concentration in the presence of suction or injection, Int. J. Heat Mass Transfer, 48, No. 7, 1388–1394 (2005).
P. Ganesan and H. P. Rani, On diffusion of chemically reactive species in convective flow along a vertical cylinder, Chem. Eng. Process., 39, 93–105 (2000).
R. Muthucumarswamy, Effects of chemical reaction on a moving isothermal vertical surface with suction, Acta Mech., 155, 65–70 (2002).
R. Kandasamy et al., Chemical reaction, heat and mass transfer on MHD flow over a vertical stretching surface with heat source and thermal stratification effects, Int. J. Heat Mass Transf., 48, 4557–4561 (2005).
A. Raptis and C. Perdikis, Viscous flow over a non-linearly stretching sheet in the presence of a chemical reaction and magnetic field, Int. J. Non-Linear Mech., 41, 527–529 (2006).
R. Kandasamy et al., Effects of chemical reaction, heat and mass transfer on boundary layer flow over a porous wedge with heat radiation in the presence of suction or injection, Theor. Appl. Mech., 33, No. 2, 123–148 (2006).
S. M. M. El-Kabeir and M. M. M. Abdou, Chemical reaction, heat and mass transfer on MHD flow over a vertical isothermal cone surface in micropolar fluids with heat generation/absorption, Appl. Math. Sci., 1, No. 34, 1663–1674 (2007).
M. A. A. Mahmoud, A note on variable viscosity and chemical reaction effects on mixed convection heat and mass transfer along a semi-infinite vertical plate, Mathematical Problems in Engineering, Article ID 41323 (2007).
M. Q. Al-Odat and T. A. Al-Azab, Influence of chemical reaction on transient MHD free convection over a moving vertical plate, Emirates J. Eng. Res., 12, No. 3, 15–21 (2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
Published in Inzhenerno-Fizicheskii Zhurnal, Vol. 83, No. 1, pp. 118–127, January–February, 2010.
Rights and permissions
About this article
Cite this article
Mahapatra, N., Dash, G.C., Panda, S. et al. Effects of chemical reaction on free convection flow through a porous medium bounded by a vertical surface. J Eng Phys Thermophy 83, 130–140 (2010). https://doi.org/10.1007/s10891-010-0327-1
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-010-0327-1