Triple Coordinate Transforms for Prediction of Falling Cylinder Through the Water Column

Author:

Chu, Peter C.1,Fan, Chenwu1,Evans, and Ashley D.1,Gilles Anthony1

Affiliation:

1. Naval Ocean Analysis and Prediction Laboratory, Department of Oceanography, Naval Postgraduate School, 833 Dyer Road, Monterey, CA 93943

Abstract

Triple coordinate systems are introduced to predict translation and orientation of falling rigid cylinder through the water column: earth-fixed coordinate (E-coordinate), cylinder’s main-axis following coordinate (M-coordinate), and hydrodynamic force following coordinate (F-coordinate). Use of the triple coordinate systems and the transforms among them leads to the simplification of the dynamical system. The body and buoyancy forces and their moments are easily calculated using the E-coordinate system. The hydrodynamic forces (such as the drag and lift forces) and their moments are easily computed using the F-coordinate. The cylinder’s moments of gyration are simply represented using the M-coordinate. Data collected from a cylinder-drop experiment at the Naval Postgraduate School swimming pool in June 2001 show great potential of using the triple coordinate transforms.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference2 articles.

1. White, F. M., 1974, Viscous Fluid Flow, 1st Ed., McGraw-Hill, New York.

2. Chu, P. C., Gilless, A. F., Fan, C., and Fleischer, P., 2002, “Hydrodynamical Characteristics of a Falling Cylinder in the Water Column,” Advances in Fluid Mechanics, 4, M. Rahman, R. Verhoeven, and C. A. Brebbia, eds., WIT Press, Southampton, UK, pp. 163–181.

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