Abstract
Similarity analysis of diffusion of chemically reactive solute distribution in MHD boundary layer flow of an electrically conducting incompressible fluid over a porous flat plate is presented. The reaction rate of the solute is considered inversely proportional along the plate. Adopting the similarity transformation technique the governing equations are converted into the self-similar ordinary differential equations which are solved by shooting procedure using Runge-Kutta method. For increase of the Schmidt number the solute boundary layer thickness is reduced. Most importantly, the effects of reaction rate and order of reaction on concentration field are of conflicting natures, due to increasing reaction rate parameter the concentration decreases, but for the increase in order of reaction it increases. In presence of chemical reaction, the concentration profiles attain negative value when Schmidt number is large.
Article PDF
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
Blasius H (1908) Grenzschichten in Flüssigkeiten mit kleiner Reibung. Z Math Phys 56:1–37
Howarth L (1938) On the solution of the laminar boundary layer equations. Proc R Soc Lond Ser A, Math Phys Sci 164:547–579
Rajagopal KR, Gupta AS (1984) An exact solution for the flow of a non-newtonian fluid past an infinite porous plate. Meccanica 19:158–160
Gaffuri G (1981) Velocity and temperature fields past a finite flat plate in a slip flow. Meccanica 16:22–26
Pozzi A, Tognaccini R (2005) Influence of the Prandtl number on the unsteady thermo-fluid dynamic field around a thick plate. Meccanica 40:251–266
Pal D, Mondal H (2009) Radiation effects on combined convection over a vertical flat plate embedded in a porous medium of variable porosity. Meccanica 44:133–144
Sahoo B (2010) Flow and heat transfer of an electrically conducting third grade fluid past an infinite plate with partial slip. Meccanica 319–330
Chambre PL, Young JD (1958) On diffusion of a chemically reactive species in a laminar boundary layer flow. Phys Fluids 1:48–54
Gebhart B, Pera L (1971) The nature of vertical natural convection flow resulting from the combined buoyancy effects of thermal and mass transfer. Int J Heat Mass Transf 14:2025–2050
Stan II (1972) On boundary layer flow with chemical surface reaction. Meccanica 7:72
Cheng P (1977) The influence of lateral mass flux on a free convection boundary layers in saturated porous medium. Int J Heat Mass Transf 20:201–206
Soundalgekar VM (1979) Effects of mass transfer and free convective currents on the flow past an impulsively started vertical plate. J Appl Mech 46:757–760
Soundalgekar VM, Birajdar NS, Darvekar VK (1984) Mass transfer effects on the flow past an impulsively started infinite vertical plate with variable temperature or constant heat flux. J Astrophys Space Sci 100:159–164
Das UN, Deka R, Soundalgekar VM (1994) Effect of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction. Forsch Ingenieurwes 60:284–287
Muthucumaraswamy R, Ganesan P (2000) On impulsive motion of a vertical plate with heat flux and diffusion of chemically reactive species. Forsch Ingenieurwes 66:17–23
Muthucumaraswamy R, Ganesan P (2001) First order chemical reaction on the flow past an impulsively started vertical plate with uniform heat and mass flux. Acta Mech 147:45–57
Anderson HI, Hansen OR, Holmedal B (1994) Diffusion of a chemically reactive species from a stretching sheet. Int J Heat Mass Transf 37:659–664
Mahmoud MAA (2010) 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. Meccanica 45:835–846
Fan JR, Shi JM, Xu XZ (1998) Similarity solution of mixed convection with diffusion and chemical reaction over a horizontal moving plate. Acta Mech 126:59–69
Anjalidavi SP, Kandasamy R (1999) Effected of chemical reaction, heat and mass transfer on laminar flow along a semi infinite horizontal plate. Heat Mass Transf 35:465–467
Mukhopadhyay S, Layek GC (2009) Radiation effects on force convective flow and heat transfer over a porous plate in a porous medium. Meccanica 44:587–597
Chamkha AJ, Mohamed RA, Ahmed SE (2010) Unsteady MHD natural convection from a heated vertical porous plate in a micropolar fluid with Joule heating, chemical reaction and radiation effects. Meccanica. doi:10.1007/s11012-010-9321-0
Riley N (1984) Magnetohydrodynamic free convection. J Fluid Mech 18:577–586
Watanabe T, Pop I (1995) Hall effects on magnetohydrodynamic boundary layer flow over a continuous moving flat plate. Acta Mech 108:35–47
Anjalidavi SP, Kandasamy R (2000) Effects of chemical reaction, heat and mass transfer on MHD flow past a semi infinite plate. Z Angew Math Mech 80:697–700
Damseh RA, Duwairi HM, Al-Odat M (2006) Similarity analysis of magnetic field and thermal radiation effects on forced convection flow. Turk J Eng Environ Sci 30:83–89
Sharma PR, Singh G (2010) Effects of variable thermal conductivity, viscous dissipation on steady MHD natural convection flow of low Prandtl fluid on an inclined porous plate with Ohmic heating. Meccanica 45:237–247
Bhattacharyya K, Mukhopadhyay S, Layek GC (2011) Slip effects on boundary layer stagnation-point flow and heat transfer towards a shrinking sheet. Int J Heat Mass Transf 54:308–313
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Bhattacharyya, K., Layek, G.C. Similarity solution of MHD boundary layer flow with diffusion and chemical reaction over a porous flat plate with suction/blowing. Meccanica 47, 1043–1048 (2012). https://doi.org/10.1007/s11012-011-9461-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11012-011-9461-x