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International Journal of Engineering Mathematics
Volume 2017 (2017), Article ID 8410691, 13 pages
https://doi.org/10.1155/2017/8410691
Research Article

Unsteady Natural Convection Flow past an Infinite Cylinder with Thermal and Mass Stratification

1Department of Mathematics, Cotton College State University, Guwahati 781001, India
2Department of Mathematics, Gauhati University, Guwahati 781014, India

Correspondence should be addressed to Ashish Paul; moc.liamg@58luaphsa

Received 29 June 2016; Revised 8 November 2016; Accepted 6 December 2016; Published 11 January 2017

Academic Editor: Alberto Cardona

Copyright © 2017 Ashish Paul and Rudra Kanta Deka. 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

This paper presents an analytical solution of unsteady one-dimensional free convection flow past an infinite vertical circular cylinder in a stratified fluid medium. The dimensionless coupled linear governing partial differential equations are solved by Laplace transform technique for unit Prandtl number and Schmidt number. Effects of various physical parameters are presented with graphs. Numerical values of boundary layer thickness for different parameters are presented in table. Due to the effects of thermal and mass stratifications, the velocity, temperature, and skin friction, Nusselt number shows oscillatory behaviour at smaller times and then reaches steady state at larger times.