Volume 2, Issue 5, October 2017, Page: 52-56
Fully Developed Free Convection Flow in a Vertical Slot with Open to Capped Ends: D’Alembert’s Approach
Basant Kumar Jha, Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria
Michael Oluwakayode Oni, Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria
Received: Sep. 26, 2017;       Accepted: Oct. 27, 2017;       Published: Nov. 20, 2017
DOI: 10.11648/j.mma.20170205.12      View  1936      Downloads  62
Abstract
The fully developed free convection flow in a vertical slot with open to capped ends discussed by Weidman [5] and Magyari [6] is scrutinized in this present work. Exact solution of momentum and energy equations under relevant boundary conditions as discussed in [5, 6] is obtained using the D’Alembert’s method. Numerical comparison of this present work is made with previous result of [6] and the results were justified using the well-known implicit finite difference method (IFDM); this gives an excellent comparison. During the course of numerical investigation, it is found that D’Alembert’s approach is a simpler, reliable and accurate tool for solving coupled equations.
Keywords
Fully Developed, Free Convection, Vertical Slot, Capped Ends, D’Alembert’s Approach
To cite this article
Basant Kumar Jha, Michael Oluwakayode Oni, Fully Developed Free Convection Flow in a Vertical Slot with Open to Capped Ends: D’Alembert’s Approach, Mathematical Modelling and Applications. Vol. 2, No. 5, 2017, pp. 52-56. doi: 10.11648/j.mma.20170205.12
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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