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Research Papers: Ocean Engineering

Lateral Force and Yaw Moment on a Slender Body in Forward Motion at a Yaw Angle

[+] Author and Article Information
Ronald W. Yeung

American Bureau of Shipping Inaugural Chair in Ocean Engineering,
Director, Computational Marine Mechanics Laboratory (CMML)
e-mail: rwyeung@berkeley.edu

Robert K. M. Seah

e-mail: robseah@yahoo.com

John T. Imamura

e-mail: jimamura@newton.berkeley.edu
Deptartment of Mechanical Engineering,
University of California at Berkeley,
Berkeley, CA 94720

1Corresponding author.

2Present address: Chevron Energy Technology Company, Houston, TX 77002.

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received December 29, 2008; final manuscript received May 29, 2011; published online March 28, 2013. Assoc. Editor: R. Cengiz Ertekin. Paper presented at the 2008 ASME 27th International Conference on Offshore Mechanics and Arctic Engineering (OMAE2008), Estoril, Portugal, June 15–20, Paper No. OMAE2008-57480.

J. Offshore Mech. Arct. Eng 135(3), 031101 (Mar 28, 2013) (9 pages) Paper No: OMAE-08-1078; doi: 10.1115/1.4006153 History: Received December 29, 2008; Received May 29, 2011

This paper presents a solution method for obtaining the lateral hydrodynamic forces and moments on a submerged body translating at a yaw angle. The method is based on the infinite-fluid formulation of the free-surface random-vortex method (FSRVM), which is reformulated to include the use of slender-body theory. The resulting methodology is given the name: slender-body FSRVM (SB-FSRVM). It utilizes the viscous-flow capabilities of FSRVM with a slender-body theory assumption. The three-dimensional viscous-flow equations are first shown to be reducible to a sequence of two-dimensional viscous-fluid problems in the cross-flow planes with the lowest-order effects from the forward velocity included in the cross-flow plane. The theory enables one to effectively analyze the lateral forces and yaw moments on a body undergoing prescribed forward motion with the possible occurrence of cross-flow separation. Applications are made to several cases of body geometry that are in steady forward motion, but at a yawed orientation. These include the case of a long “cone-tail” body. Comparisons are made with existing data where possible.

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References

Figures

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Fig. 1

Slender body in forward motion

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Fig. 2

Pseudo-time concept and expansion velocity on a sectional contour B

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Fig. 3

Schematic of computational domain

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Fig. 4

Velocity field around a cone with 20 deg yaw, exhibiting both radial and transverse flow characteristics

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Fig. 5

Lateral force on a submerged cone with vertex angle of 15 deg

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Fig. 6

Vortex-blob visualization for a submerged cone with 10 deg yaw (left) and 20 deg yaw (right)

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Fig. 7

Comparison of the lateral-force and yaw-moment coefficients with those of NASA experiments for a cone of vertex angle 20 deg

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Fig. 8

Tangent-ogive body geometry at yaw angle of 9 deg (left) and lateral-force coefficient versus yaw angle θ (right)

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Fig. 9

Three-dimensional geometry (left) and variation in the major and minor axes of the ellipse along the length (right) of a cone-tail body

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Fig. 10

Lateral-force and lateral-force-slope coefficients versus yaw angle (left) and convergence of force coefficient based on planform (profile) area S with respect to the number of χ stations (right)—for the submerged cone-tail body

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Fig. 11

Sectional distribution of the lateral-force coefficients for 5 deg yaw (left) and for 10 deg yaw (right)

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Fig. 12

Forward sectional vortex-blob distributions for a submerged cone-tail body translating at 5.0 deg yaw, χ/L = −0.1, −0.3, −0.5

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Fig. 13

Aftward sectional vortex-blob distributions for a submerged cone-tail body translating at 5.0 deg yaw, χ/L = −0.6, −0.8, −1.0

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Fig. 14

Vortex-blob visualization for the cone-tail body translating at 5.0 deg yaw

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