0
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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2013 by ASME
Your Session has timed out. Please sign back in to continue.

References

Landrini, M., and Campana, E. F., 1996, “Steady Waves and Forces About a Yawing Flat Plate,” J. Ship Res., 40(3), pp.179–192.
Narumi, A., Kato, S., Yanase, T., Terada, K., and Izumi, R., 1985, “The Flow Around an Inclined Flat Plate of Finite Width,” Bull. Jpn. Soc. Mech. Eng., 28, pp.1373–1378. [CrossRef]
Simonsen, C. D., and Stern, F., 2005, “Flow Pattern Around an Appended Tanker Hull Form in Simple Manueuvering Conditions,” Comput. Fluids, 34(2), pp.169–198. [CrossRef]
Yeung, R. W., and Kim, S.-H., 1984, “A New Development in the Theory of Oscillating and Translating Slender Ships,” Proceedings of the 15th Symposium on Naval Hydrodynamics, Hamburg, Germany, pp.195–218.
Jones, R. T., 1946, “Properties of Low-Aspect-Ratio Pointed Wings at Speeds Below and Above the Speed of Sound,” NACA Report No. 835.
Yeung, R. W., and Vaidhyanathan, M., 1994, “Highly Separated Flows Near a Free Surface,” Proceedings of the International Conference on Hydrodynamics, Wuxi, China, pp.118–128.
Seah, R. K. M., and Yeung, R. W., 2003, “Sway and Roll Hydrodynamics of Cylindrical Sections,” Int. J. Offshore Polar Eng., 13(4), pp.241–248.
Yeung, R. W., 2002, “Fluid Dynamics of Finned Bodies - From VIV to FPSO,” Proceedings of the 12th International Offshore and Polar Engineering Conference - Plenary Lecture, Kitakyushu, Japan, Vol.2, pp.1–11.
Yeung, R. W., and Kim, S.-H., 1981, “Radiation Forces on Ships With Forward Speed,” Proceedings of the 3rd International Conference on Numerical Ship Hydrodynamics, Paris, France, pp.499–515.
Yeung, R. W., and Cermelli, C. A., 1998, “Vortical Flow Generated by a Plate Rolling in a Free Surface,” Free Surface Flow With Viscosity, Advances in Fluid Mechanics,. P.Tyvand, ed., Computational Mechanics Publications, Southampton, England, Vol.16, pp.1–35.
Yeung, R. W., Liao, S.-W., and Roddier, D., 1998, “Hydrodynamic Coefficients of Rolling Rectangular Cylinders,” Int. J. Offshore Polar Eng., 8(4), pp.241–250.
Chorin, A. J., 1973, “Numerical Study of Slightly Viscous Flow,” J. Fluid Mech., 57, pp.785–796. [CrossRef]
Seah, R. K. M., 2007, “The SSFSRVM Computational Model for Three-Dimensional Ship Flows With Viscosity,” Ph.D. dissertation, Deptartment of Mechanical Engineering, University of California, Berkeley, CA.
Grosenbaugh, M. A., and Yeung, R. W., 1989, “Nonlinear Free-Surface Flow at a Two-Dimensional Bow,” J. Fluid Mech., 209, pp.57–75. [CrossRef]
Vinje, T., and Brevig, P., 1980, “Nonlinear, Two-Dimensional Ship Motions,” The Norwegian Institute of Technology and Norwegian Hydrodynamics Lab., Technical Report No. R-112.81.
Newman, J. N., 1977, Marine Hydrodynamics, MIT Press, Cambridge, MA.
Keener, E. R., Chapman, G. T., Cohen, L., and Taleghani, J., 1977, “Side Forces on Forebodies at High Angles of Attack and Mach Numbers From 0.1 to 0.7: Two Tangent Ogive, Paraboloid, and Cone,” NASA Report No. NASA-TM-X-3438.
Seah, R. K. M., and Yeung, R. W., 2008, “Vortical-Flow Modeling for Ship Hulls in Forward and Lateral Motion,” Proceedings of the 27th Symposium on Naval Hydrodynamics, Seoul, Korea, Vol.1, pp.319–336.

Figures

Grahic Jump Location
Fig. 1

Slender body in forward motion

Grahic Jump Location
Fig. 2

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

Grahic Jump Location
Fig. 3

Schematic of computational domain

Grahic Jump Location
Fig. 4

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

Grahic Jump Location
Fig. 5

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

Grahic Jump Location
Fig. 6

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

Grahic Jump Location
Fig. 7

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

Grahic Jump Location
Fig. 8

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

Grahic Jump Location
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

Grahic Jump Location
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

Grahic Jump Location
Fig. 11

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

Grahic Jump Location
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

Grahic Jump Location
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

Grahic Jump Location
Fig. 14

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

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In