Numerical solution of the Navier-Stokes equations for the flow in a cylinder cascade

Gajjar, S. J. B. and Azzam, Nabila A. (2004) Numerical solution of the Navier-Stokes equations for the flow in a cylinder cascade. Journal of Fluid Mechanics, 520. pp. 51-82. ISSN 0022-1120

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Abstract

A numerical study of the steady, two-dimensional incompressible flow past a cascade of circular cylinders is presented. The Navier–Stokes equations are written in terms of the streamfunction and vorticity and solved using a novel numerical technique based on using the Chebychev collocation method in one direction and high-order finite differences in the other direction. A direct solver combined with Newton–Raphson linearization is used to solve the discrete equations. Steady flow solutions have been obtained for large Reynolds numbers, far higher than those obtained previously, and for varying gap widths between the cylinders. Three distinct types of solutions, dependent on the gap width, have been found. Comparisons with theoretical predictions for various flow quantities show good agreement, especially for the narrow gap width case. However, existing theories are unable to explain the solution properties which exist for intermediate gap widths.

Item Type:	Article
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 76 Fluid mechanics
Depositing User:	Ms Lucy van Russelt
Date Deposited:	09 Aug 2006
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/457

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