DOI QR코드

DOI QR Code

Mean viscous drift forces on a fixed vertical cylinder in waves and currents

파랑과 조류에 의한 고정된 수직 실린더 구조물에 작용하는 평균 점성 표류력

  • Shin, Dong Min (Shipbuilding and Ocean Equipment Industry Empowerment Center, Kunsan National University) ;
  • Kim, Yuncheol (Shipbuilding and Ocean Equipment Industry Empowerment Center, Kunsan National University) ;
  • Moon, Byung Young (Department of Shipbuilding and Ocean Engineering, Kunsan National University)
  • 신동민 (군산대학교 조선해양기자재 역량강화센터) ;
  • 김윤철 (군산대학교 조선해양기자재 역량강화센터) ;
  • 문병영 (군산대학교 조선해양공학과)
  • Received : 2019.10.22
  • Accepted : 2020.02.07
  • Published : 2020.02.29

Abstract

In offshore structures, the mean viscous drift force due to drag is considered to be a design part that has not been considered until recently. In particular, it is most important to calculate the drift force acting on a vertical cylinder considering both waves and currents in the low frequency region. This paper presents a process for deriving analytical solutions for the drift forces acting on a fixed vertical cylinder considering waves and currents. The area of the cylinder was considered by dividing it into a splash zone above the free surface and a submerged zone below the free surface. The presence of waves is considered only in the Splash Zone, and in the case of waves and currents, the equations were obtained for both the splash and submerged zones. The results show that drift forces occur due to the significant viscous effects in both the splash zone and the submerged zone. Therefore, the analytical solutions derived in this study can be used to calculate the drift force using the given design variables and form a theoretical basis for judging whether the magnitude of the drift force in each case has a dominant influence within a specific physical range.

해양구조물에서 점성효과를 고려하여 항력에 기인한 평균 점성 표류력를 구하는 것은 최근까지 잘 고려되지 않았던 설계 요소이다. 특히 저주파 영역에서 파랑과 조류를 모두 고려한 수직 실린더에 작용하는 평균 점성 표류력에 대해 계산하는 것이 가장 중요하다. 따라서 본 연구에서는 파랑과 조류를 고려한 고정된 수직 실린더 구조물에 작용하는 평균 점성 표류력에 대해 해석적 수식 해를 도출하는 과정을 구체적으로 제시하였다. 실린더의 수면 위로 나온 부분을 Splash Zone, 수면 아래의 잠긴 부분을 Submerged Zone으로 구분하였다. 파랑이 존재하는 경우는 Splash Zone에서만 고려되고, 파랑과 조류를 포함한 경우는 Splash Zone과 Submerged Zone 모두에서 각각 식을 구하였다. Splash Zone 및 Submerged Zone에서 모두 상당한 점성 효과로 기인한 표류력이 발생한다. 따라서 본 연구에서 도출한 해석적 해를 통해 주어진 설계 변수들에 의한 평균 점성 표류력을 계산할 수 있으며, 각각의 Case에 해당하는 표류력의 크기가 구체적인 물리적인 범위 내에서 주도적인 영향을 끼치는지 판단할 수 있는 이론적 근거를 제시할 수 있다.

Keywords

References

  1. J. N. Newman, "The drift force and moment on ships in waves," Journal of Ship Research, vol.11, no.1, pp. 51-60, 1967.
  2. J. A. Pinkster, "Mean and low-frequency wave drift forces on floating structures," Ocean Engineering, vol.6, no.6, pp.593-615, 1979. DOI: https://doi.org/10.1016/0029-8018(79)90010-6
  3. S. K. Chakrabarti, D. C. Cotter, "First and second order interaction of waves with large offshore structures," Chicago Bridge & Iron Inc., pp.171-187, 1983.
  4. C. Ferretti, M. Berta, "Viscous effect contribution to the drift forces on floating structures," International Symposium on Ocean Engineering and Shiphandling, 1980.
  5. R. G. Standing, N. M. C. Dacunha, R. B. Marten, "Mean wave drift forces: theory and experiment," NASA STI/Recon Technical Report, no.83, 1981.
  6. H. Lundgren, S. E. Sand, J. Kirkegaard, "Drift forces and damping in natural sea states - a critical review of the hydrodynamics of floating structures," Cambridge Massachusetts, vol.2, pp.592-607, 1982.
  7. J. P. F. Denise, N. J. A. Heaf, "Comparison between linear and nonlinear response of a proposed tension leg production platform," Offshore Technology Conference, 1979.
  8. J. G. L. Pijfers, A. W. Brink, "Calculated drift forces of two semisubmersible platform types in regular and irregular waves," Offshore Technology Conference, 1977.
  9. G. Sebastiani, A. D. Greca, G. Bucaneve, "Characteristics and dynamic behavior of Technomare's tension leg platform," Hydrodynamics in Ocean Engineering, Trondheim, Norway, vol.198, pp.947-961, 1981.
  10. A. K. Dev, J. A. Pinkster, "Viscous drift forces on semi-submersibles," TU Delft, Faculty of Marine Technology, Ship Hydromechanics Laboratory, Report No. 1221-P, Transactions of the Royal Institution of Naval Architects, RINA, Part B, vol.143, 2001.