TECHNICAL PAPERS
Jul 1, 1999

Radiation Hydrodynamics of Floating Vertical Cylinder in Viscous Fluid

Publication: Journal of Engineering Mechanics
Volume 125, Issue 7

Abstract

Fully nonlinear axisymmetric viscous flow due to heave oscillation of a surface-piercing vertical cylinder is analyzed using a finite-difference method based on curvilinear coordinates. Of significance to numerical modeling is the present finding that the free-slip condition used to model the movement of the contact line affects neither the overall flow nor the hydrodynamic pressure force acting on vertical cylinder. The viscous-flow results are compared with fully nonlinear inviscid-flow results, which are obtained using a mixed Eulerian-Lagrangian formulation, to contrast the effects of viscosity on the flow field, hydrodynamic force, and radiating surface waves. New results are presented for a range of parameters to illustrate physical mechanisms of the inception and evolution of vertical structures due to body motion in a free surface and their effects on the hydrodynamic force.

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References

1.
Ananthakrishnan, P. ( 1991). “Surface waves generated by a translating two-dimensional body: Effects of viscosity,” PhD thesis, University of California, Berkeley, Calif.
2.
Ananthakrishnan, P. (1998). “Heave oscillations of a submerged vertical cylinder in a viscous fluid.” Int. J. Offshore and Polar Engrg., 8(3), 173–181.
3.
Ananthakrishnan, P., and Yeung, R. W. (1994). “Nonlinear interaction of a vortex pair with clean and surfactant-covered free surfaces.” Wave Motion, 19, 343–365.
4.
Armenio, V. (1997). “An improved MAC method for unsteady high-Reynolds number free surface flows.” Int. J. Numer. Methods in Fluids, 24, 185–214.
5.
Chen, H.-C., and Chen, M. (1998). “Chimera RANS simulation of a berthing DDG-51 ship in translational and rotational motions.” Int. J. Offshore and Polar Engrg., 8(3), 182–191.
6.
Chorin, A. J. (1968). “Numerical solution of the Navier-Stokes equations.” Mathematics of Computations, 22, 745–762.
7.
Dommermuth, D. G., and Yue, D. K. P. (1987). “Numerical simulations of nonlinear axisymmetric flows with a free surface.” J. Fluid Mech., 178, 195–219.
8.
Dussan, V. E. B. (1976). “The moving contact line: The slip boundary condition.” J. Fluid Mech., 77, 665–684.
9.
Fadda, D., and Raad, P. E. (1997). “Open channel flow over submerged obstructions: An experimental and numerical study.” ASME J. Fluids Engrg., 119, 906–910.
10.
Gentaz, L., Alessandrini, B., and Delhommeau, G. (1996). “Motion simulation of a cylinder at the surface of a viscous fluid.” Schiffstechnik, Ship Technology Research, Hamburg, Germany, 43, 3–18.
11.
Grosenbaugh, M. A., and Yeung, R. W. (1989). “Nonlinear free-surface flow at a two-dimensional bow.” J. Fluid Mech., 209, 57–75.
12.
Huh, C., and Mason, S. G. (1977). “The steady movement of a liquid meniscus in a capillary tube.” J. Fluid Mech., 81, 401–419.
13.
Koplik, J., Banavar, J. R., and Willemsen, J. F. (1989). “Molecular dynamics of fluid flow at solid surfaces.” Physics of Fluids, 5, 781–794.
14.
Lamb, H. (1932). Hydrodynamics. Dover, New York.
15.
Lighthill, J. (1986). “Fundamentals concerning wave loading on offshore structures.” J. Fluid Mech., 173, 667–681.
16.
Longuet-Higgins, M. S., and Cokelet, E. D. (1976). “The deformation of steep surface waves on water: I. A numerical method of computation.” Proc., Royal Soc. of London, A, 350, 1–26.
17.
Miyata, H. (1986). “Finite-difference simulation of breaking waves.” J. Computational Physics, 65, 179–214.
18.
Newman, J. N. (1977). Marine hydrodynamics. MIT Press, Cambridge, Mass.
19.
Rai, M. M., and Moin, P. (1991). “Direct simulations of turbulent flow using finite-difference schemes.” J. Computational Physics, 96, 15–53.
20.
Sarpkaya, T. (1986). “Force on a circular cylinder in a viscous oscillatory flow at low Keulegan-Carpenter numbers.” J. Fluid Mech., 165, 61–71.
21.
Sheridan, J., Lin, J. C., and Rockwell, D. (1997). “Flow past a cylinder close to a free surface.” J. Fluid Mech., 330, 1–30.
22.
Stansby, P. K., and Smith, P. A. (1991). “Viscous forces on a circular cylinder in orbital flow at low Keulegan-Carpenter numbers.” J. Fluid Mech., 229, 159–171.
23.
Steinberg, S., and Roache, P. J. (1986). “Variational grid generation.” Numer. Methods for Partial Differential Equations, 2, 71–96.
24.
Vaidhyanathan, M. ( 1993). “Separated flows near a free surface,” PhD thesis, University of California, Berkeley, Calif.
25.
Vinje, T., and Brevig, P. (1981). “Nonlinear ship motion.” Proc., 2nd Int. Conf. on Numerical Ship Hydrodynamics, University of California, Berkeley, Calif., 377–387.
26.
Wehausen, J. V., and Laitone, E. V. (1960). Surface Waves, Handbuch der Physik, Vol. IX, Springer, Berlin.
27.
Yeung, R. W. (1982). “Numerical methods for free-surface flows.” Annu. Rev. of Fluid Mech., 14, 395–442.
28.
Yeung, R. W., and Ananthakrishnan, P. (1997). “Viscosity and surface-tension effects on wave generation by a translating body.” J. Engrg. Mathematics, 32, 257–280.
29.
Yeung, R. W., Liao, S. W., and Roddier, D. (1998). “On roll hydrodynamics of rectangular cylinders.” Proc., 8th Int. Offshore and Polar Engrg. Conf., International Society of Offshore and Polar Engineers, Golden, Colo., Vol. III, 445–453.
30.
Yeung, R. W., and Vaidhyanathan, M. (1993). “Flow past oscillating cylinders.” Proc., 12th Int. Conf. on Offshore Mech. and Arctic Engrg., American Society of Mechanical Engineers, New York.
31.
Yeung, R. W., and Wu, C. F. (1989). “Nonlinear wave-body motion in a closed domain.” Computers & Fluids, 17(2), 351–370.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 125Issue 7July 1999
Pages: 836 - 847

History

Received: Sep 24, 1998
Published online: Jul 1, 1999
Published in print: Jul 1999

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Authors

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P. Ananthakrishnan
Asst. Prof., Oc. Engrg., Florida Atlantic Univ., Boca Raton, FL 33431.

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