A numerical investigation of incompressible viscous flow in a helical square annulus

In this article incompressible viscous flow in a helical square annulus is investigated numerically. The governing equations including the continuity and Navier–Stokes equations are written in an orthogonal helical coordinate system. This provides a uniform computational domain with a capability of...

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Bibliographic Details
Published in:Applied mathematics and computation 2016-03, Vol.277, p.127-141
Main Authors: Nobari, M.R.H., Kazemi, S., Nourian, V., Adib, M.
Format: Article
Language:English
Subjects:
Annulus
Computational fluid dynamics
Continuity (mathematics)
Finite difference
Fluid flow
Helical
Helical duct
Incompressible flow
Mathematical analysis
Mathematical models
Navier-Stokes equations
Projection method
Viscous flow
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Summary:In this article incompressible viscous flow in a helical square annulus is investigated numerically. The governing equations including the continuity and Navier–Stokes equations are written in an orthogonal helical coordinate system. This provides a uniform computational domain with a capability of using an exact second order finite difference method based on the projection algorithm to discretize the governing equations. The numerical results obtained study the effects of different non-dimensional parameters such as torsion, curvature, Reynolds number and aspect ratio on the secondary flow, axial velocity and friction factor in detail.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2015.12.035