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COMBINED EFFECTS OF CURVATURE AND TORSION ON FLUID FLOW IN A HELICAL RECTANGULAR DUCT

Proceedings of the
International Conference on Mechanical Engineering 2009
(ICME2009) 26- 28 December 2009, Dhaka, Bangladesh

 
ICME09-FM-13

COMBINED EFFECTS OF CURVATURE AND TORSION ON
FLUID FLOW IN A HELICAL RECTANGULAR DUCT
 
P. Kumar Bhattacharjee1 and M. Mahmud Alam2
1Natural Science Group, National University, Gazipur, Bangladesh
2Mathematics Discipline, Khulna University, Khulna, Bangladesh

ABSTRACT

This paper is concerned with the steady incompressible fully developed flow through a left-handed helical rectangular duct and presents the flow structure for various Dean number( ) n D , non-dimensional torsion (τ ′) and non-dimensional curvature (κ ′) at aspect ratio γ = 1.5 . Numerical study is performed to investigate the flow characteristics under various flow conditions. The flow structure in the helical rectangular duct is investigated numerically to examine the combined effects of non-dimensional curvature and torsion. Spectral method is used as a main tool for numerical calculations, where the Chebyshev polynomial, the collocation methods, the Arc-length method and the Newton-Raphson method are also used as secondary tools.
 
Keywords: Curvature, Torsion, Rectangular Duct.

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