Skip to main content
SpringerLink
Log in

On the diffusion of a chemically reactive species in a convective flow past a vertical plate

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

A numerical solution of the first-order homogeneous chemical reaction in an unsteady free convective flow past a semi-infinite vertical plate is studied. The dimensionless governing equations are solved by an efficient, more accurate, unconditionally stable, and rapidly converging implicit finite-difference scheme. The effect of various parameters, such as the Prandtl number, Schmidt number, buoyancy ratio parameter, and chemical reaction parameter on flow velocity and temperature is determined. The velocity profiles are in excellent agreement with available results in the literature. The local and average values of skin friction and Nusselt and Sherwood numbers are calculated. The effects of the chemical reaction parameters on these values are discussed for both generative and destructive reactions. Owing to the presence of the first-order chemical reaction, the velocity is found to increase in the generative reaction and to decrease in the destructive reaction.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. P. L. Chambre and J. D. Young “On the diffusion of a chemically reactive species in laminar boundary layer ow,” Phys. Fluids, 1, 48–54 (1958).

    Article  MATH  ADS  Google Scholar 

  2. B. Gebhart and L. Pera, “The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion,” Int. J. Heat Mass Transfer, 14, 2025–2050 (1971).

    Article  MATH  Google Scholar 

  3. G. D. Callahan and W. J. Marner, “Transient free convection with mass transfer on an isothermal vertical at plate,” Int. J. Heat Mass Transfer, 19, 165–174 (1976).

    Article  MATH  ADS  Google Scholar 

  4. V. M. Soundalgekar and P. Ganesan, “Finite difference analysis of transient free convection with mass transfer on an isothermal vertical at plate,” Int. J. Eng. Sci., 19, 757–770 (1981).

    Article  MATH  Google Scholar 

  5. U. N. Das, R. K. 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,” Eng. Res., 60, 284–287 (1994).

    Google Scholar 

  6. U. N. Das, R. K. Deka, and V. M. Soundalgekar, “Effects of mass transfer on flow past an impulsively started infinite vertical plate with chemical reaction,” Bull. GUMA, 5, 13–20 (1998).

    Google Scholar 

  7. R. Muthucumaraswamy and P. Ganesan, “On impulsive motion of a vertical plate with heat flux and diffusion of chemically reactive species,” Forsch. Ingenieurw, Bd 66, 17–23 (2000).

    Article  Google Scholar 

  8. R. Muthucumaraswamy and P. Ganesan, “Diffusion and first order chemical reaction on impulsively started infinite vertical plate with variable temperature,” Int. J. Thermal Sci., 41, 475–479 (2002).

    Article  MATH  Google Scholar 

  9. R. Muthucumaraswamy and P. Ganesan, “Natural convection on a moving isothermal vertical plate with chemical reaction,” J. Eng. Phys. Thermophys., 75, 113–119 (2002).

    Article  MATH  Google Scholar 

  10. S. P. Anjali Devi and R. Kandasamy, “Effects of chemical reaction, heat and mass transfer on non-linear MHD ow over an accelerating surface with heat source and thermal stratification in the presence of suction or injection,” Comm. Numer. Methods Eng., 1, 513–520 (2003).

    Article  Google Scholar 

  11. R. Muthucumaraswamy and T. Kulandaivel, “Chemical reaction effects on moving infinite vertical plate with uniform heat flux and variable mass diffusion,” Forsch. Ingenieurw., 68, 101–104 (2003).

    Article  Google Scholar 

  12. P. Loganathan and T. Kulandaivel, R. Muthucumaraswamy, “First order chemical reaction on moving semi-infinite vertical plate in the presence of optically thin gray gas,” Int. J. Appl. Math. Mech., 4, No. 5, 26–41 (2008).

    Google Scholar 

  13. B. Carnahan, H. A. Luther, and J. O. Wilkes, Applied Numerical Methods, John Wiley and Sons, New York (1969).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Dr. Ambedkar Govt. Arts College, Chennai, 600039, Tamil Nadu, India

    G. Palani

  2. Department of Mechanical Engineering, Inha University, Incheon, 402-751, Republic of Korea

    Kwang Yong Kim

Authors
  1. G. Palani
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kwang Yong Kim
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to G. Palani.

Additional information

__________

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 52, No. 1, pp. 71–83, November–December, 2011.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Palani, G., Kim, K.Y. On the diffusion of a chemically reactive species in a convective flow past a vertical plate. J Appl Mech Tech Phy 52, 57–66 (2011). https://doi.org/10.1134/S0021894411010093

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021894411010093

Key words

Search

Navigation