Possible Similarity Cases for Internal Heat Generation, Thermal Radiation and Free Convection of Unsteady Boundary Layer Flow Over a Vertical Plate
Applied and Computational Mathematics
Volume 6, Issue 1, February 2017, Pages: 60-67
Received: Jan. 21, 2017; Accepted: Feb. 6, 2017; Published: Mar. 4, 2017
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Authors
N. M. Ridwan Zahed, Department of Mathematics, Chittagong University of Engineering & Technology, Chittagong, Bangladesh
Md. Yeakub Ali, Department of Mathematics, Chittagong University of Engineering & Technology, Chittagong, Bangladesh
Md. Jashim Uddin, Department of Mathematics, Chittagong University of Engineering & Technology, Chittagong, Bangladesh; Department of Electrical & Electronic Engineering, International Islamic University Chittagong, Chittagong, Bangladesh
Mohammed Nasir Uddin, Department of Mathematics, Chittagong University of Engineering & Technology, Chittagong, Bangladesh
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Abstract
In this paper we analyze the effects of free convection for internal heat generation and thermal radiation of an unsteady boundary layer flow over a vertical plate. We have applied free parameter method to obtain possible similarity cases. One of these cases have been investigated analytically and numerically. In this case, the governing non-linear partial differential equations are transformed into a system of coupled non-linear ordinary differential equations using similarity transformations and then solved numerically using the Runge–Kutta method with shooting technique for better accuracy. The effects of the governing parameters on the flow and thermal fields are investigated numerically and displayed graphically. The skin-friction coefficient, heat transfer coefficient have also been obtained and presented in tabular form.
Keywords
Boundary Layer, Heat Generation, Thermal Radiation, Buoyancy Force, Similarity Solution, Vertical Plate
To cite this article
N. M. Ridwan Zahed, Md. Yeakub Ali, Md. Jashim Uddin, Mohammed Nasir Uddin, Possible Similarity Cases for Internal Heat Generation, Thermal Radiation and Free Convection of Unsteady Boundary Layer Flow Over a Vertical Plate, Applied and Computational Mathematics. Vol. 6, No. 1, 2017, pp. 60-67. doi: 10.11648/j.acm.20170601.15
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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