An exact solution to the problem of flow due to the impulsive motion of an infinite vertical plate in its own plane in the presence of i) species concentration, ii) Newtonian heating at the plate, and iii) first-order chemical reaction has been derived by the Laplace transform technique. The influence of various parameters entering into the problem on the velocity field and skin friction for both air and water in the cases of both cooling and heating of the plate is discussed.
Similar content being viewed by others
References
P. L. Chambre and J. D. Young, On the diffusion of a chemically reactive species in a laminar boundary layer flow, Phys. Fluids, 1, 48–54 (1958).
U. N. Dass, 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, Forschung im Ingenieurwsen, 60, 284–287 (1994).
U. N. Dass, 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 (1999).
R. Muthucumaraswamy, Effects of chemical reaction on moving isothermal vertical plate with variable mass diffusion, Theor. Appl. Mech., 30, No. 3, 209–220 (2003).
R. Muthucumaraswamy and S. Meenakshisundaram, Theoretical study of chemical reaction effects on vertical oscillating plate with variable temperature, Theor. Appl. Mech., 33, No. 3, 245–257 (2006).
R. Muthucumaraswamy, Chemical reaction effects on vertical oscillating plate with variable temperature, CI&CEQ, 16, No. 2, 167–173 (2010).
V. Rajesh and S. Vijaya Kumar Varma, Chemical reaction effects on free convection flow past an exponentially accelerated vertical plate, Annals-J. Eng., VIII, Fascicule 1, 181–188 (2010).
V. Rajesh, MHD and chemical reaction effects on free convection flow with variable temperature and mass diffusion, Annals-J. Eng., VIII, Fascicule 3, 370–378 (2010).
V. Rajesh, Radiation and chemical reaction effects on flow past a vertical plate with ramped wall temperature, Annals-J. Eng., VIII, Fascicule 3, 426–433 (2010).
J. H. Merkin, Natural convection boundary-layer flow on a vertical surface with Newtonian heating, Int. J. Heat Fluid Flow, 15, 392–398 (1994).
D. Lesnic, D. B. Ingham, and I. Pop, Free convection boundary layer flow along a vertical surface in a porous medium with Newtonian heating, Int. J. Heat Mass Transfer, 42, 2621–2627 (1999).
D. Lesnic, D. B. Ingham, and I. Pop, Free convection from a horizontal surface in porous medium with Newtonian heating, J. Porous Media, 3, 227–235 (2000).
D. Lesnic, D. B. Ingham, I. Pop, and C. Storr, Free convection boundary layer flow above a nearly horizontal surface in porous medium with Newtonian heating, Heat Mass Transfer, 40, No. 4, 665–672 (2003).
B. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, Dover Publications, Inc., New York (1970).
J. C. Slattery, Advanced Transport Phenomena, Cambridge University Press (1999).
H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, 2nd ed., Oxford University Press, London (1959).
Author information
Authors and Affiliations
Corresponding author
Additional information
Published in Inzhenerno-Fizicheskii Zhurnal, Vol. 85, No. 1, pp. 205–211, January–February, 2012.
Rights and permissions
About this article
Cite this article
Rajesh, V. Effects of mass transfer on flow past an impulsively started infinite vertical plate with Newtonian heating and chemical reaction. J Eng Phys Thermophy 85, 221–228 (2012). https://doi.org/10.1007/s10891-012-0642-9
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-012-0642-9