Volume 6, Issue 5, October 2018, Page: 159-166
Rotational Effect on Viscous Fluid Flow through Rectangular Rotating Straight Duct
Nazmul Islam, Mathematics Discipline, Science, Engineering and Technology School, Khulna University, Khulna, Bangladesh
Lasker Ershad Ali, Mathematics Discipline, Science, Engineering and Technology School, Khulna University, Khulna, Bangladesh
Ariful Islam, Department of Chemical Engineering, Newcastle Institute for Energy and Resources, University of Newcastle, Newcastle, Australia
Received: Oct. 8, 2018;       Accepted: Nov. 6, 2018;       Published: Dec. 18, 2018
DOI: 10.11648/j.ajam.20180605.12      View  41      Downloads  44
Abstract
In this paper, a numerical study has been done for fully developed laminar flow of an incompressible viscous fluid through a rotating straight duct with rectangular cross-section. The duct is rotated at a constant angular velocity around the vertical axis. The flow depends on the pressure driven parameter and the rotational parameter along with aspect ratio. The dimensionless non-linear equations are solved by using Spectral method where Chebyshev polynomial is adopted as a key tool. The calculations are carried out for different rotational parameter with a fixed aspect ratio at a constant pressure gradient parameter. The effect of rotational parameter has been observed for axial and secondary flows from the obtained results, which are shown in two dimensional contours and surface plots for axial flow whereas, two dimensional streamline plot, surface plot and vector plot for secondary flow. The asymmetry structure is seen in the axial flow pattern while the double vortex configuration is seen in the secondary flow structure, for all rotational parameter. However, the double vortex pattern in the secondary flow configuration is slightly compressed against the upper and lower walls of the duct for small rotational parameter, but it is highly compressed against the upper and lower walls for high rotational speed.
Keywords
Viscous Fluid, Steady Flow, Rotating Straight Duct, Rectangular Cross-Section and Pressure Gradient
To cite this article
Nazmul Islam, Lasker Ershad Ali, Ariful Islam, Rotational Effect on Viscous Fluid Flow through Rectangular Rotating Straight Duct, American Journal of Applied Mathematics. Vol. 6, No. 5, 2018, pp. 159-166. doi: 10.11648/j.ajam.20180605.12
Copyright
Copyright © 2018 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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