Skip to main content Accessibility help
×
Hostname: page-component-7479d7b7d-jwnkl Total loading time: 0 Render date: 2024-07-12T06:33:44.703Z Has data issue: false hasContentIssue false

4 - Wave and Current Loads on Slender Bodies

Published online by Cambridge University Press:  31 January 2023

Bernard Molin
Affiliation:
École Centrale de Marseille and NTNU: Norwegian University of Science and Technology
Get access

Summary

This chapter applies to bodies that are small compared to the wave lengths, of dimensions similar or smaller than the wave amplitude. As a result separation cannot be neglected and semi-empirical methods are usually applied to formulate the wave and current loading. The Reynolds number is introduced and the different flow regimes, for a circular cylinder in current, are illustrated. The Morison equation is introduced and applied to the wave loading upon cylinders. Experimental values of the inertia and drag coefficients, vs the Reynolds and Keulegan-Carpenter numbers, are presented. The deficiencies of the Morison equations, in complex flows, are emphasized. Alternatives such as the independent flow-field formulation, or wake models, are introduced. The oscillatory lift force, in steady current, is introduced and the Strouhal number and reduced velocity are defined.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2023

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Achenbach, E. 1971. Influence of surface roughness on the cross-flow around a circular cylinder, J. Fluid Mech., 46, 321335.Google Scholar
Achenbach E., Heinecke E. 1981. On vortex shedding from smooth and rough cylinders in the range of Reynolds numbers 6 x 103 to 5 x 106, J. Fluid Mech., 109, 239251.Google Scholar
Bearman, P.W. 1988. Wave loading experiments on circular cylinders at large scale, Proc. 5th Int. Conf. on Behaviour of Offshore Structures, BOSS’88.Google Scholar
Bearman P.W., Downie M.J., Graham J.M.R., Obasaju E.D. 1985. Forces on cylinders in viscous oscillatory flow at low Keulegan-Carpenter numbers, J. Fluid Mech., 154, 337356.Google Scholar
Blevins, R.D. 1990. Flow-Induced Vibration, 2nd edition. Krieger Publishing Company.Google Scholar
Cantwell, B., Coles D. 1983. An experimental study of entrainment and transport in the turbulent near wake of a circular cylinder, J. Fluid Mech., 136, 321374.Google Scholar
Chaplin, J.R. 1984. Non-linear forces on a horizontal cylinder beneath waves, J. Fluid Mech., 147, 449464.Google Scholar
Cinello A., P´etri ´e F., Rippol T., Molin B., Le Cunff C. 2013. Experimental investigations of VIV at high Reynolds numbers for smooth circular cylinders in single and tandem arrangements, in Proc. ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering, paper OMAE2013-10638.Google Scholar
Cuffe P.D., Finn L.D., Lambrakos K.F. 1990. Compliant tower loading and response measurements, Proc. 22nd Offshore Techn. Conf., paper 6313.Google Scholar
DNVGL 2017. On-bottom stability design of submarine pipelines, Recommended Practice DNVGL-RP-F109.Google Scholar
DNVGL 2017. Environmental conditions and environmental loads, Recommended Practice DNV-RP-C205.Google Scholar
Eames, M.C. 1968. Steady state theory of towing cables, Trans. Royal Inst. Naval Architects, 10.Google Scholar
Faltinsen, O.M. 1990. Sea Loads on Ships and Offshore Structures. Cambridge University Press.Google Scholar
Faltinsen O.M., Sortland B. 1987. Slow drift eddy making damping of a ship, Applied Ocean Res., 9, 3746.Google Scholar
Gopalkrishnan, R. 1993. Vortex-induced forces on oscillating bluff cylinders. PhD thesis, Massachusetts Institute of Technology, Cambridge, MA.Google Scholar
Huse, E. 1991. Current force on individual elements of risers arrays, Marintek Report 513902.Google Scholar
Huse E., Muren P. 1987. Drag in oscillatory flow interpreted from wake consideration, Proc. 19th Offshore Techn. Conf., paper 5370.Google Scholar
Keulegan G.H., Carpenter L.H. 1958. Forces on cylinders and plates in an oscillating fluid, Journal of Research of the National Bureau of Standards, 60, research paper 2857.Google Scholar
Lambrakos K.F., Chao J.C., Beckmann H., Brannon H.R. 1987. Wake model of hydrodynamic forces on pipelines, Ocean Engineering, 14, 117136.Google Scholar
Longuet-Higgins, M.S. 1953. Mass transport in water waves, Phil. Trans. Royal Soc. A, 245, Issue 903, 535581.Google Scholar
Molin B., Etienne S. 2000. On viscous forces on non-circular cylinders in low KC oscillatory flows, Eur. J. Mech. B-Fluids, 19, 453457.Google Scholar
Morison J.R., O’Brien M.P., Johnson J.W., Schaaf S.A. 1950. The force exerted by surface waves on piles, Petrol. Trans., 189, 149154.Google Scholar
Morse T.L., Williamson C.H.K. 2009. Prediction of vortex-induced vibration response by employing controlled motion, J. Fluid Mech., 634, 539.Google Scholar
Norberg, C. 2000. Flow around a circular cylinder: aspects of fluctuating lift, J. Fluids and Structures, 15, 459469.Google Scholar
Oakley O.H., Spencer D. 2004. Deepstar VIV experiments with a cylinder at high Reynolds numbers, in Proc. Deep Offshore Technology Conf., DOT04.Google Scholar
Parkinson, G.V. 1974. Mathematical models of flow-induced vibrations of bluff bodies, in Flow Induced Structural Vibrations, ed. E. Naudascher, 81127, Berlin: Springer.CrossRefGoogle Scholar
Roshko, A. 1961. Experiments on the flow past a circular cylinder at very high Reynolds number, J. Fluid Mech., 10, 345356.Google Scholar
Sarpkaya, T. 1977. In-line and transverse forces on cylinders near a wall in oscillatory flow at high Reynolds numbers, Proc. 9th Offshore Techn. Conf., paper 2898.Google Scholar
Sarpkaya, T. 1978. Fluid forces on oscillating cylinders, J. of Waterway, Port, Coastal and Ocean Division, ASCE, 104, 275290.Google Scholar
Sarpkaya, T. 1986. Force on a circular cylinder in viscous oscillatory flow at low Keulegan-Carpenter numbers, J. Fluid Mech., 165, 6171.Google Scholar
Sarpkaya, T. 2010. Wave Forces on Offshore Structures, Cambridge University Press.Google Scholar
Schewe, G. 1983. On the force fluctuations acting on a circular cylinder in cross flow from subcritical up to transcritical Reynolds numbers, J. Fluid Mech., 133, 265285.Google Scholar
Schlichting, H. 1979. Boundary Layer Theory. McGraw-Hill Book Company.Google Scholar
Scruton C., Rogers E.W.E. 1971. Steady and unsteady wind loading of buildings and structures, Phil. Trans. Roy. Soc. Lond., A, 269, 353383.Google Scholar
Stokes, G.G. 1851. On the effect of the internal friction of fluids on the motion of pendulums, T. Camb. Phil. Soc., 9, 8106.Google Scholar
Verley, R.L.P. 1980. Oscillations of cylinders in waves and currents, PhD thesis, Loughborough University.Google Scholar
Verley R.L.P., Lambrakos K.F., Reed K. 1987. Prediction of hydrodynamic forces on seabed pipelines, Proc. 19th Offshore Techn. Conf., paper 5503.Google Scholar
Zdravkovich, M.M. 1977. Review of flow interference between two cylinders in various arrangements, ASME Journal of Fluids Engineering, 99, 618633.Google Scholar
Zdravkovich, M.M. 1985. Flow induced oscillations of two interfering cylinders, J. Sound & Vibration, 101, 511521.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • Wave and Current Loads on Slender Bodies
  • Bernard Molin, École Centrale de Marseille and NTNU: Norwegian University of Science and Technology
  • Book: Offshore Structure Hydrodynamics
  • Online publication: 31 January 2023
  • Chapter DOI: https://doi.org/10.1017/9781009198059.006
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • Wave and Current Loads on Slender Bodies
  • Bernard Molin, École Centrale de Marseille and NTNU: Norwegian University of Science and Technology
  • Book: Offshore Structure Hydrodynamics
  • Online publication: 31 January 2023
  • Chapter DOI: https://doi.org/10.1017/9781009198059.006
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Wave and Current Loads on Slender Bodies
  • Bernard Molin, École Centrale de Marseille and NTNU: Norwegian University of Science and Technology
  • Book: Offshore Structure Hydrodynamics
  • Online publication: 31 January 2023
  • Chapter DOI: https://doi.org/10.1017/9781009198059.006
Available formats
×