Application of Potential Theory to Steady Flow Past Two Cylinders in Tandem Arrangement
The wake flow patterns associated with flow past a cylinder and a cylinder-pair in tandem configuration are revisited, compared, and evaluated with respect to the streamline patterns generated based on potential flow theory and superposition of various potential flow elements. The wakes, which are v...
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2014-01-01
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Series: | Mathematical Problems in Engineering |
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doaj-2bbee0dad3404a32ae07219fc07462252020-11-25T00:11:26ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472014-01-01201410.1155/2014/495179495179Application of Potential Theory to Steady Flow Past Two Cylinders in Tandem ArrangementYangyang Gao0Danielle S. Tan1Zhiyong Hao2Xikun Wang3Soon Keat Tan4Ocean College, Zhejiang University, Hangzhou 310058, ChinaCornell University, Ithaca, NY 14853, USACollege of Logistics Engineering, Shanghai Maritime University, Shanghai 201306, ChinaMaritime Research Centre and School of Civil and Environmental Engineering, College of Engineering, Nanyang Technological University, Singapore, 639798, SingaporeNanyang Environment and Water Research Institute and School of Civil and Environmental Engineering, Nanyang Technological University, Singapore, 639798, SingaporeThe wake flow patterns associated with flow past a cylinder and a cylinder-pair in tandem configuration are revisited, compared, and evaluated with respect to the streamline patterns generated based on potential flow theory and superposition of various potential flow elements. The wakes, which are vortex shedding in the lee of the cylinder(s), are reproduced by placing pairs of equal but opposite circulation elements in the potential flow field. The strength of the circulation elements determines the size of the vortices produced. The streamline patterns of flow past a pair of unequal cylinders in tandem configuration provide an indirect means to establish the threshold condition for the wake transition from that of a single bluff body to alternating reattachment behavior. This threshold condition is found to be a function of the diameter ratio, d/D (diameters d and D, d≤D ), spacing ratio, L/D (centre-to-centre distance, L, to cylinder diameter, D), and equivalent incident flow speed, U. A unique functional relationship f (L/D, d/D, U) of this threshold condition is established.http://dx.doi.org/10.1155/2014/495179 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yangyang Gao Danielle S. Tan Zhiyong Hao Xikun Wang Soon Keat Tan |
spellingShingle |
Yangyang Gao Danielle S. Tan Zhiyong Hao Xikun Wang Soon Keat Tan Application of Potential Theory to Steady Flow Past Two Cylinders in Tandem Arrangement Mathematical Problems in Engineering |
author_facet |
Yangyang Gao Danielle S. Tan Zhiyong Hao Xikun Wang Soon Keat Tan |
author_sort |
Yangyang Gao |
title |
Application of Potential Theory to Steady Flow Past Two Cylinders in Tandem Arrangement |
title_short |
Application of Potential Theory to Steady Flow Past Two Cylinders in Tandem Arrangement |
title_full |
Application of Potential Theory to Steady Flow Past Two Cylinders in Tandem Arrangement |
title_fullStr |
Application of Potential Theory to Steady Flow Past Two Cylinders in Tandem Arrangement |
title_full_unstemmed |
Application of Potential Theory to Steady Flow Past Two Cylinders in Tandem Arrangement |
title_sort |
application of potential theory to steady flow past two cylinders in tandem arrangement |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1024-123X 1563-5147 |
publishDate |
2014-01-01 |
description |
The wake flow patterns associated with flow past a cylinder and a cylinder-pair in tandem configuration are revisited, compared, and evaluated with respect to the streamline patterns generated based on potential flow theory and superposition of various potential flow elements. The wakes, which are vortex shedding in the lee of the cylinder(s), are reproduced by placing pairs of equal but opposite circulation elements in the potential flow field. The strength of the circulation elements determines the size of the vortices produced. The streamline patterns of flow past a pair of unequal cylinders in tandem configuration provide an indirect means to establish the threshold condition for the wake transition from that of a single bluff body to alternating reattachment behavior. This threshold condition is found to be a function of the diameter ratio, d/D (diameters d and D, d≤D ), spacing ratio, L/D (centre-to-centre distance, L, to cylinder diameter, D), and equivalent incident flow speed, U. A unique functional relationship f (L/D, d/D, U) of this threshold condition is established. |
url |
http://dx.doi.org/10.1155/2014/495179 |
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