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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 258016, 15 pages
http://dx.doi.org/10.1155/2015/258016
Research Article

Effect of Fluctuating Surface Heat and Mass Flux on Natural Convection Flow along a Vertical Flat Plate

1Department of Mathematics & Natural Sciences, BRAC University, Dhaka 1212, Bangladesh
2Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh
3School of Physics, Chemistry & Mechanical Engineering, Queensland University of Technology, Brisbane, QLD 4001, Australia

Received 15 August 2015; Accepted 28 October 2015

Academic Editor: Nader Karimi

Copyright © 2015 Sharmina Hussain et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

An investigation has been carried on double diffusive effect on boundary layer flow due to small amplitude oscillation in surface heat and mass flux. Extensive parametric simulations were performed in order to elucidate the effects of some important parameters, that is, Prandtl number, Schmidt number, and Buoyancy ratio parameter on flow field in conjunction with heat and mass transfer. Asymptotic solutions for low and high frequencies are obtained for the conveniently transformed governing coupled equations. Solutions are also obtained for wide ranged value of the frequency parameters. Comparisons between the asymptotic and wide ranged values are made in terms of the amplitudes and phases of the shear stress, surface heat transfer, and surface mass transfer. It has been found that the amplitudes and phase angles obtained from asymptotic solutions are found in good agreement with the finite difference solutions obtained for wide ranged value of the frequency parameter.