Volume 3, Issue 6, November 2017, Page: 54-60
Squeezing Flow Analysis of Nanofluid Under the Effects of Magnetic Field and Slip Boundary Conditions Using Chebychev Spectral Collocation Method
Gbeminiyi M. Sobamowo, Department of Mechanical Engineering, University of Lagos, Akoka, Lagos, Nigeria
Lawrence O. Jayesimi, Works and Physical Planning Department, University of Lagos, Akoka, Lagos, Nigeria
Received: Oct. 16, 2017;       Accepted: Nov. 20, 2017;       Published: Dec. 27, 2017
DOI: 10.11648/j.fm.20170306.11      View  1135      Downloads  50
Abstract
In this work, analysis of two-dimensional squeezing flow of a nanofluid under the influences of a uniform transverse magnetic field and slip boundary conditions is carried out using Chebychev spectral collocation method. The analytical solutions are used to investigate the effects of fluid properties, magnetic field and slip parameters on the squeezing flow. It is revealed from the results that the velocity of the fluid increases with increase in the magnetic parameter under the influence of slip condition while an opposite trend is recorded during no-slip condition. Also, the velocity of the fluid increases as the slip parameter increases but it decreases with increase in the magnetic field parameter and Reynold number under the no-slip condition. The results of the Chebychev spectral collocation method are in excellent agreement with the results of the convectional numerical method using Runge-Kutta coupled with shooting method. The findings in this work can be used to further study the squeezing flow in applications such as power transmission, polymer processing and hydraulic lifts.
Keywords
Nanofluid, Squeezing Flow, Slip Boundary, Magnetic Field, Chebychev Collocation Method
To cite this article
Gbeminiyi M. Sobamowo, Lawrence O. Jayesimi, Squeezing Flow Analysis of Nanofluid Under the Effects of Magnetic Field and Slip Boundary Conditions Using Chebychev Spectral Collocation Method, Fluid Mechanics. Vol. 3, No. 6, 2017, pp. 54-60. doi: 10.11648/j.fm.20170306.11
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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