ORIGINAL PAPER
Theoretical Study of Heat Transfer Effects on Flow Past a Parabolic Started Vertical Plate in the Presence of Chemical Reaction of First Order
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Department of Applied Mathematics Sri Venkateswara College of Engineering Pennalur, Irungattukottai 602 117 (Sriperumbudur Taluk), INDIA
2
Department of Mathematics Madha Institute of Engineering and Technology Errandamkattalai, Sadanandapuram Thandalam Post, Chennai 600122, INDIA
Online publication date: 2014-08-30
Publication date: 2014-05-01
International Journal of Applied Mechanics and Engineering 2014;19(2):275-284
KEYWORDS
ABSTRACT
An exact solution of an unsteady flow past a parabolic starting motion of an infinite vertical plate with variable temperature and mass diffusion, in the presence of a homogeneous chemical reaction of first order has been studied. The plate temperature as well as concentration level near the plate are raised linearly with time t. The dimensionless governing equations are solved using the Laplace-transform technique. The effects of velocity profiles are studied for different physical parameters such as the chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number and time. It is observed that the velocity increases with increasing values of the thermal Grashof number or mass Grashof number. The trend is just reversed with respect to the chemical reaction parameter.
REFERENCES (17)
1.
Agrawal A.K., Samria N.K. and Gupta S.N. (1998): Free convection due to thermal and mass diffusion in laminar flow of an accelerated infinite vertical plate in the presence of magnetic field. - Journal of Heat and Mass Transfer, vol.20, pp.35-43.
2.
Agrawal A.K., Samria N.K. and Gupta S.N. (1999): Study of heat and mass transfer past a parabolic started infinite vertical plate. - Journal of Heat and Mass Transfer, vol.21, pp.67-75.
3.
Agrawal G.L. (1990): Basic Chemical Kinetics. - NewDelhi: Tata McGraw-Hill Publishing Company Limited.
4.
Basanth K.J., Prasad R. and Surendra R. (1991): Mass transfer effects on the flow past an exponentially accelerated vertical plate with constant heat flux. - Astrophysics and Space Science, vol.181, pp.125-134.
5.
Brooks M.J., Mills I. and Harms T.M. (2006): Performance of a parabolic trough solar collector. - Journal of Energy in South Africa, vol.17, pp.71-80.
6.
Chambre P.L. and Young J.D. (1958): On the diffusion of a chemically reactive species in a laminar boundary layer flow. - The Physics of Fluids, vol.1, pp.48-54.
7.
Das U.N., Deka R.K. and Soundalgekar V.M. (1994): Effects of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction. - Forschung im Ingenieurwesen, vol.60, pp.284-287.
8.
Das U.N., Deka R.K. and Soundalgekar V.M. (1999): Effects of mass transfer on flow past an impulsively started infinite vertical plate with chemical reaction. - The Bulletin of Guma, vol.5, pp.13-20.
9.
Gupta A.S., Pop I. and Soundalgekar V.M. (1979): Free convection effects on the flow past an accelerated vertical plate in an incompressible dissipative fluid. - Rev. Roum. Sci. Techn. Mec. Apl., vol.24, pp.561-568.
10.
Hossain M.A. and Shayo L.K. (1986): The skin friction in the unsteady free convection flow past an accelerated plate. - Astrophysics and Space Science, vol.125, pp.315-324.
11.
Kafouias N.G. and Raptis A.A. (1981): Mass transfer and free convection effects on the flow past an accelerated vertical infinite plate with variable suction or injection. - Rev. Roum. Sci. Techn.-Mec. Apl., vol.26, pp.11-22.
12.
Kandasamy R. (2002): Effects of chemical reaction, heat and mass transfer on nonlinear boundary layer flow with thermal stratification and thermal diffusion in the presence of suction. - Journal of Energy, Heat and Mass Transfer, vol.24, pp.223-233.
13.
Murthy V.V.S., Gupta A., Mandloi N. and Shukla A. (2007): Evaluation of thermal performance of heat exchanger unit for parabolic solar cooker for off-place cooking. - Indian Journal of Pure and Applied Physics, vol.45, pp.745-748.
14.
Muthucumaraswamy R. and Lakshmi V. (2013): On flow past a parabolic started isothermal vertical plate with variable mass diffusion in the presence of thermal radiation. - Annals of Engineering Hunedoara, vol.XI, pp.227-230.
15.
Singh A.K. and Singh J. (1983): Mass transfer effects on the flow past an accelerated vertical plate with constant heat flux. - Astrophysics and Space Science, vol.97, pp.57-61.
16.
Singh A.K. and Naveen K. (1984): Free convection flow past an exponentially accelerated vertical plate. - Astrophysics and Space Science, vol.98, pp.245-258.
17.
Soundalgekar V.M. (1982): Effects of mass transfer on the flow past an accelerated vertical plate. - Letters in Heat and Mass Transfer, vol.9, pp.65-72.