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A many-body force decomposition with applications to flow about bluff bodies

Published online by Cambridge University Press:  26 March 2008

CHIEN-C. CHANG ,
SHIH-HAO YANG  and
CHIN-CHOU CHU
CHIEN-C. CHANG
Affiliation:
Division of Mechanics, Research Center for Applied Sciences, Academia Sinica, Taipei 115, Taiwan Institute of Applied Mechanics & Taida Institute of Mathematical Sciences, National Taiwan University, Taipei 106, Taiwanmechang@gate.sinica.edu.tw; chucc@iam.ntu.edu.tw
SHIH-HAO YANG
Affiliation:
Division of Mechanics, Research Center for Applied Sciences, Academia Sinica, Taipei 115, Taiwan Institute of Applied Mechanics & Taida Institute of Mathematical Sciences, National Taiwan University, Taipei 106, Taiwanmechang@gate.sinica.edu.tw; chucc@iam.ntu.edu.tw
CHIN-CHOU CHU
Affiliation:
Institute of Applied Mechanics & Taida Institute of Mathematical Sciences, National Taiwan University, Taipei 106, Taiwanmechang@gate.sinica.edu.tw; chucc@iam.ntu.edu.tw
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Abstract

The study presents a force theory for incompressible flow about several solid bodies, which enables us to examine the force contribution to each body from individual fluid elements. By employing auxiliary potential functions, we decompose hydrodynamic forces in terms of the unsteadiness of the incoming stream, vorticity within the flow, and surface vorticity on the solid bodies. The usefulness of this force decomposition is illustrated by examining separated flow about several circular cylinders. Guidelines were obtained for finding an optimal arrangement to achieve significantly small drag exerted on the cylinders.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 600 , 10 April 2008 , pp. 95 - 104
Copyright
Copyright © Cambridge University Press 2008

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References

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