Non-isothermal Flow through a Curved Channel with Strong Curvature

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Author(s)

M. M. Rahman 1,* M. A. Hye 2

1. Department of Mathematics, Islamic University, Kushita-7003, Bangladesh

2. Department of Mathematics & Statistics, Bangladesh University of Business & Technology, Dhaka-1216, Bangladesh

* Corresponding author.

DOI: https://doi.org/10.5815/ijisa.2013.09.09

Received: 18 Sep. 2012 / Revised: 20 Feb. 2013 / Accepted: 11 May 2013 / Published: 8 Aug. 2013

Index Terms

Curved Duct, Dean Number, Secondary Flow, Curvature, Time Evolution

Abstract

Non-isothermal flow through a curved square channel with strong curvature is investigated numerically by using the spectral method and covering a wide range of the Dean number, Dn, 100≤Dn≤6000 for the curvature δ=0.5. A temperature difference is applied across the vertical sidewalls for the Grashof number , where the outer wall is heated and the inner one cooled. After a compressive survey over the parametric ranges, two branches of asymmetric steady solutions with two- and four-vortex solutions are obtained by the Newton-Raphson iteration method. Then, in order to investigate the non-linear behavior of the unsteady solutions, time evolution calculations as well as power spectrum of the solutions are obtained, and it is found that in the unsteady flow undergoes in the scenario “steady → periodic → multi-periodic → chaotic”, if Dn is increased.

Cite This Paper

M. M. Rahman, M. A. Hye, "Non-isothermal Flow through a Curved Channel with Strong Curvature", International Journal of Intelligent Systems and Applications(IJISA), vol.5, no.9, pp.76-85, 2013. DOI:10.5815/ijisa.2013.09.09

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