Journal of Korean Society of Coastal and Ocean Engineers (한국해안·해양공학회논문집)

Korean Society of Coastal and Ocean Engineers (한국해안·해양공학회)
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A Study of Ship Wave Crest Pattern

항주파의 파봉에 대한 연구

  • Lee, Byeong Wook (Department of Civil and Environmental Engineering, Sejong University) ;
  • Lee, Changhoon (Department of Civil and Environmental Engineering, Sejong University)
  • 이병욱 (세종대학교 건설환경공학과) ;
  • 이창훈 (세종대학교 건설환경공학과)
  • Received : 2015.11.06
  • Accepted : 2016.02.05
  • Published : 2016.02.29
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Abstract

Kelvin's (1887) theory that predicts position of ship wave crest can be applied only in deep water. Havelock's (1907) theory that predicts cusp locus angle can be applied in whole water depths but cannot predict the position of ship wave crest. In this study, using the linear dispersion fully, we develop the equations to predict ship wave crest in whole water depths and, using the developed equations, we predict cusp locus angle. We simulate ship wave propagation using FLOW-3D in the condition of Johnson's (1985) hydraulic experiment and find that the cusp locus angles predicted by the present theory are close to numerical results of FLOW-3D and hydraulic experimental data. We also simulate for various conditions and compare numerical results of distances between adjacent wave crests and values predicted by the present theory. For Froude number less than unity, the numerical results are close to the values predicted by the theory. For Froude number greater than unity, the constant value of $C_1$ which determines the distance between the ship and the first ship wave crest is almost equal to zero and the numerical results of distances between adjacent ship waves excluding the first ship are close to the values predicted by the theory.

항주파 파봉의 위치를 예측하는 Kelvin(1887)의 이론해는 심해에서만 적용 가능한 한계가 있다. 최대파향각을 예측하는 Havelock(1907)의 이론해는 모든 수심에서 적용 가능하지만 파향각에 따라 다르게 나타나는 파봉의 위치를 예측하지 못하는 한계가 있다. 본 연구에서 항주파의 분산관계식을 온전하게 이용하여 모든 수심에 적용 가능한 항주파 파봉식을 개발하고, 이 식을 이용하여 항주파의 최대파향각을 예측하였다. FLOW-3D를 이용하여 Johnson(1958)의 수리모형실험을 수치적으로 재현한 후 본 연구에서 제안하는 최대파향각의 이론해가 모든 수심에서 수치해, 수리실험결과와 유사함을 확인하였다. 여러 조건에서 항주파를 수치적으로 재현한 후 파봉선 간의 거리를 측정하여 이론해와 비교하였다. 그 결과 선박의 속도가 ${\sqrt{gh}}$보다 작은 경우 이론해와 유사하였다. 선박의 속도가 ${\sqrt{gh}}$보다 큰 경우 첫 번째 항주파의 거리를 결정하는 상수 $C_1$은 0에 가까운 값이었고 첫 번째 항주파를 제외한 경우 이론해와 유사하였다.

Keywords

References

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