Figure 1. The push barge model in 1:20 geometrical scale during field experiments.

by Teresa Abramowicz-Gerigk 1,*,Zbigniew Burciu 1,Jacek Jachowski 1,Oskar Kreft 2,Dawid Majewski 3,Barbara Stachurska 3,Wojciech Sulisz 3 andPiotr Szmytkiewicz 3

1Faculty of Navigation, Gdynia Maritime University, 81-225 Gdynia, Poland
2AREX Ltd., 81-212 Gdynia, Poland
3Institute of Hydro-Engineering of Polish Academy of Sciences, 80-328 Gdansk, Poland
*Author to whom correspondence should be addressed.
Academic Editor: Remco J. WiegerinkSensors2021, 21(6), 2216; https://doi.org/10.3390/s21062216
Received: 20 January 2021 / Revised: 9 March 2021 / Accepted: 18 March 2021 / Published: 22 March 2021(This article belongs to the Special Issue Sensing in Flow Analysis)

Abstract

본 논문은 자유 표면 효과를 포함한 균일한 흐름 하에서 회전하는 실린더 (로터)에 발생하는 유체 역학적 힘의 실험 테스트 설정 및 측정 방법을 제시합니다. 실험 테스트 설정은 고급 유량 생성 및 측정 시스템을 갖춘 수로 탱크에 설치된 고유 한 구조였습니다.

테스트 설정은 로터 드라이브가 있는 베어링 장착 플랫폼과 유체 역학적 힘을 측정하는 센서로 구성되었습니다. 낮은 길이 대 직경 비율 실린더는 얕은 흘수 강 바지선의 선수 로터 방향타 모델로 선택되었습니다. 로터 역학은 최대 550rpm의 회전 속도와 최대 0.85m / s의 수류 속도에 대해 테스트되었습니다.

실린더의 낮은 종횡비와 자유 표면 효과는 생성 된 유체 역학적 힘에 영향을 미치는 현상에 상당한 영향을 미쳤습니다. 회전자 길이 대 직경 비율, 회전 속도 대 유속 비율 및 양력에 대한 레이놀즈 수의 영향을 분석했습니다. 실험 결과에 대한 계산 모델의 유효성이 표시됩니다. 결과는 시뮬레이션 및 실험에 대한 결과의 유사한 경향을 보여줍니다.

The paper presents the experimental test setup and measurement method of hydrodynamic force generated on the rotating cylinder (rotor) under uniform flow including the free surface effect. The experimental test setup was a unique construction installed in the flume tank equipped with advanced flow generating and measuring systems.

The test setup consisted of a bearing mounted platform with rotor drive and sensors measuring the hydrodynamic force. The low length to diameter ratio cylinders were selected as models of bow rotor rudders of a shallow draft river barge. The rotor dynamics was tested for the rotational speeds up to 550 rpm and water current velocity up to 0.85 m/s. The low aspect ratio of the cylinder and free surface effect had significant impacts on the phenomena influencing the generated hydrodynamic force. The effects of the rotor length to diameter ratio, rotational velocity to flow velocity ratio, and the Reynolds number on the lift force were analyzed. The validation of the computational model against experimental results is presented. The results show a similar trend of results for the simulation and experiment.

Keywords: rotating cylinder; force sensor with built-in amplifier; strain gauge sensor; CFD analysis

Figure 1. The push barge model in 1:20 geometrical scale during field experiments.
Figure 1. The push barge model in 1:20 geometrical scale during field experiments.
Figure 2. Scheme of the measurement area.
Figure 2. Scheme of the measurement area.
Figure 3. The force measuring part of the experimental test setup: (a) side view: 1—bearing-mounted platform, 2—drive system, 3—cylinder, 4—support frame, 5—force sensors, and 6—adjusting screw; (b) top view.
Figure 3. The force measuring part of the experimental test setup: (a) side view: 1—bearing-mounted platform, 2—drive system, 3—cylinder, 4—support frame, 5—force sensors, and 6—adjusting screw; (b) top view.
Figure 4. Location of the rotor, rotor drive, and supporting frame in the wave flume.
Figure 4. Location of the rotor, rotor drive, and supporting frame in the wave flume.
Figure 5. Lift force obtained from the measurements in the wave flume for different flow velocities and cylinder diameters.
Figure 5. Lift force obtained from the measurements in the wave flume for different flow velocities and cylinder diameters.
Figure 6. Variation of the lift coefficient with rotation rate for various free stream velocities and various cylinder diameters—experimental results.
Figure 6. Variation of the lift coefficient with rotation rate for various free stream velocities and various cylinder diameters—experimental results.
Figure 7. Boundary conditions for rotor-generated flow field simulation—computing domain with free surface level.
Figure 7. Boundary conditions for rotor-generated flow field simulation—computing domain with free surface level.
Figure 8. General view and the close-up of the rotor wall sector applied for the rotor simulation.
Figure 8. General view and the close-up of the rotor wall sector applied for the rotor simulation.
Figure 9. Structured mesh used in FLOW-3D and the FAVORTM technique—the original shape of the rotor and the shape of the object after FAVOR discretization technique for 3 mesh densities.
Figure 9. Structured mesh used in FLOW-3D and the FAVORTM technique—the original shape of the rotor and the shape of the object after FAVOR discretization technique for 3 mesh densities.
Figure 10. Parameter y+ for the studied turbulence models and meshes.
Figure 10. Parameter y+ for the studied turbulence models and meshes.
Figure 11. Results of numerical computations in time for the cylinder with D2 diameter at 500 rpm rotational speed and current speed V = 0.82 m/s using LES model in dependence of mesh density: (a) FX and (b) FY
Figure 11. Results of numerical computations in time for the cylinder with D2 diameter at 500 rpm rotational speed and current speed V = 0.82 m/s using LES model in dependence of mesh density: (a) FX and (b) FY
Figure 12. Results of 3D flow simulation for V = 0.40 m/s: (a) perspective view of velocity field on the free surface, (b) top view of velocity field on the free surface, (c) velocity field in the horizontal plane at half-length section of the rotor, and (d) velocity field in the rotor symmetry plane.
Figure 12. Results of 3D flow simulation for V = 0.40 m/s: (a) perspective view of velocity field on the free surface, (b) top view of velocity field on the free surface, (c) velocity field in the horizontal plane at half-length section of the rotor, and (d) velocity field in the rotor symmetry plane.
Figure 13. Results of 3D flow simulation for V = 0.50 m/s: (a) perspective view of velocity field on the free surface, (b) top view of velocity field on the free surface, (c) velocity field in the horizontal plane at half-length section of the rotor, and (d) velocity field in the rotor symmetry plane.
Figure 13. Results of 3D flow simulation for V = 0.50 m/s: (a) perspective view of velocity field on the free surface, (b) top view of velocity field on the free surface, (c) velocity field in the horizontal plane at half-length section of the rotor, and (d) velocity field in the rotor symmetry plane.
Figure 14. Results of 3D flow simulation for V = 0.82 m/s: (a) perspective view of velocity field on the free surface, (b) top view of velocity field on the free surface, (c) velocity field in the horizontal plane at half-length section of the rotor, and (d) velocity field in the rotor symmetry plane.
Figure 14. Results of 3D flow simulation for V = 0.82 m/s: (a) perspective view of velocity field on the free surface, (b) top view of velocity field on the free surface, (c) velocity field in the horizontal plane at half-length section of the rotor, and (d) velocity field in the rotor symmetry plane.
Figure 15. Flow chart of validation of the computational model against experimental results.
Figure 15. Flow chart of validation of the computational model against experimental results.
Figure 16. Measured (EXP) and computed (CFD) lift force values.
Figure 16. Measured (EXP) and computed (CFD) lift force values.

결론

결론은 다음과 같습니다.
계산 결과가 일반적으로 실험 데이터와 일치하는 경우 계산 결과는 검증 된 것으로 간주되며 추가 예측에 사용할 수 있습니다. 검증 실험을 통해 메쉬 밀도와 난류 모델을 결정할 수있었습니다.
작은 전류 속도 0.4m / s 및 0.5m / s에서 직경 D3의 로터에 대해 계산 된 양력 값은 회전 속도가 200rpm 이상일 때의 실험 값과 달랐습니다. 그 이유는 실험 중에 관찰 된 강한 진동과 수치 시뮬레이션에서 모델링되지 않은 유동 분리 때문이었습니다.
D2 직경을 가진 로터의 경우 작은 rpm에서 양력의 반대 부호가 관찰되었습니다. 이 현상은 시뮬레이션 중에 관찰되지 않았습니다.
제시된 실험 테스트 설정은 드라이브,지지 구조물 및 측정 장치에 손상을 주지 않고 진동을 포함한 모든 현상을 관찰 할 수 있도록 구성되었습니다. Wang et al. [14]는 동일한 α 값에서 실린더 종횡비가 증가함에 따라 와류 유발 진동이 증가하는 것을 관찰했습니다.
실험의 원활한 진행은 장치 손상 가능성과 함께 약 4의 α에 영향을 미쳤습니다. 본 연구에서는 α = 4.8에서 시작하는 가장 큰 직경의 실린더에서 가장 강한 진동이 관찰되었습니다.
제시된 연구는 로터 생성 흐름의 능동적 제어에 대한 추가 연구의 첫 번째 부분으로 유체 역학적 힘의 신뢰할 수 있는 실험적 예측 방법을 설명했습니다 [22]. , 바람, 파도 [23].
논문의 참신함은 저상 실린더에 대해 회 전자에서 생성 된 유체 역학적 힘을 모델링 할 수있는 가능성에 대한 조사입니다.
이 방법의 주요 장점은 자유 표면 효과 및 유동 유도 회 전자 진동과 관련된 현상을 포함하여 회 전자 생성 유동장 및 유체 역학적 힘을 관찰 할 수 있다는 것입니다. 제안 된 테스트 설정 구성은 유체 역학적 힘의 매개 변수 연구, 스케일 효과 조사 및 낮은 전류 속도와 큰 회전 속도에서 큰 불일치가 확인 된 CFD 시뮬레이션 모델의 검증에 사용될 것입니다.

References

  1. Abramowicz-Gerigk, T.; Burciu, Z.; Jachowski, J. An Innovative Steering System for a River Push Barge Operated in Environmentally Sensitive Areas. Pol. Marit. Res. 2017, 24, 27–34. [Google Scholar] [CrossRef]
  2. Abramowicz-Gerigk, T.; Burciu, Z.; Krata, P.; Jachowski, J. Steering system for a waterborne inland unit. Patent 420664, 2017. [Google Scholar]
  3. Abramowicz-Gerigk, T.; Burciu, Z.; Jachowski, J. Parametric study on the flow field generated by river barge bow steering systems. Sci. J. Marit. Univ. Szczec. 2019, 60, 9–17. [Google Scholar]
  4. Gerigk, M.; Wójtowicz, S. An Integrated Model of Motion, Steering, Positioning and Stabilization of an Unmanned Autonomous Maritime Vehicle. TransnavInt. J. Mar. Navig. Saf. Sea Transp. 2015, 9, 591–596. [Google Scholar] [CrossRef]
  5. Thouault, N.; Breitsamter, C.; Adams, N.A.; Seifert, J.; Badalamenti, C.; Prince, S.A. Numerical Analysis of a Rotating Cylinder with Spanwise Disks. AIAA J. 2012, 50, 271–283. [Google Scholar] [CrossRef]
  6. Badr, H.M.; Coutanceau, M.; Dennis, S.C.R.; Menard, C. Unsteady flow past a rotating circular cylinder at Reynolds numbers 10 3 and 10 4. J. Fluid Mech. 1990, 220, 459. [Google Scholar] [CrossRef]
  7. Karabelas, S.; Koumroglou, B.; Argyropoulos, C.; Markatos, N. High Reynolds number turbulent flow past a rotating cylinder. Appl. Math. Model. 2012, 36, 379–398. [Google Scholar] [CrossRef]
  8. Chen, W.; Rheem, C.-K. Experimental investigation of rotating cylinders in flow. J. Mar. Sci. Technol. 2019, 24, 111–122. [Google Scholar] [CrossRef]
  9. Zhou, B.; Wang, X.; Guo, W.; Gho, W.M.; Tan, S.K. Experimental study on flow past a circular cylinder with rough surface. Ocean Eng. 2015, 109, 7–13. [Google Scholar] [CrossRef]
  10. Tokumaru, P.T.; Dimotakis, P.E. The lift of a cylinder executing rotary motions in a uniform flow. J. Fluid Mech. 1993, 255, 1–10. [Google Scholar] [CrossRef]
  11. Wong, K.W.L.; Zhao, J.; Jacono, D.L.; Thompson, M.C.; Sheridan, J. Experimental investigation of flow-induced vibration of a rotating circular cylinder. J. Fluid Mech. 2017, 829, 486–511. [Google Scholar] [CrossRef]
  12. Bourguet, R.; Jacono, D.L. Flow-induced vibrations of a rotating cylinder. J. Fluid Mech. 2014, 740, 342–380. [Google Scholar] [CrossRef]
  13. Carstensen, S.; Mandviwalla, X.; Vita, L.; Schmidt, P. Lift of a Rotating Circular Cylinder in Unsteady Flows. J. Ocean Wind Energy 2014, 1, 41–49. Available online: http://www.isope.org/publications (accessed on 15 January 2021).
  14. Wang, W.; Wang, Y.; Zhao, D.; Pang, Y.; Guo, C.; Wang, Y. Numerical and Experimental Analysis of the Hydrodynamic Performance of a Three-Dimensional Finite-Length Rotating Cylinder. J. Mar. Sci. Appl. 2020, 19, 388–397. [Google Scholar] [CrossRef]
  15. Mobini, K.; Niazi, M. Simulation of unsteady flow around a rotating circular cylinder at various Reynolds numbers. JMEUT 2017, 46, 249–257. Available online: https://www.researchgate.net/publication/323447030_Simulation_of_Unsteady_Flow_Around_a_Rotating_Circular_Cylinder_at_Various_Reynolds_Numbers (accessed on 15 January 2021).
  16. Babarit, A.; Delvoye, S.; Arnal, V.; Davoust, L.; Wackers, J. Wave and Current Generation in Wave Flumes Using Axial-Flow Pumps. In Proceedings of the 36th International Conference on Ocean, Offshore and Artic Engineering (OMAE2017), Trondheim, Norway, 25–30 June 2017; pp. 1–10. [Google Scholar] [CrossRef]
  17. Nortek Manuals. The Comprehensive Manual for Velocimeters. 2018. Available online: https://support.nortekgroup.com/hc/en-us/articles/360029839351-The-Comprehensive-Manual-Velocimeters (accessed on 15 January 2021).
  18. Stachurska, B.; Majewski, D. Propagation of Surface waves under currents—Analysis of measurements in wave flume of IBW PAN. IMiG 2014, 4, 280–290. [Google Scholar]
  19. Lohrmann, A.; Cabrera, R.; Kraus, N. Acoustic-Doppler Velocimeter (ADV) for laboratory use. In Fundamentals and Advancements in Hydraulic Measuremensts and Experimentation; Buffalo: New York, NY, USA, 1994. [Google Scholar]
  20. Stachurska, B.; Majewski, D. Experimental Measurements of Current Velocity in Wave Flume of IBW PAN; Internal Report; Institute of Hydro-Engineering of Polish Academy of Sciences: Gdańsk, Poland, 2013. (In Polish) [Google Scholar]
  21. FLOW-3D. Available online: https://www.flow3d.com/ (accessed on 15 January 2021).
  22. He, J.W.; Glowinski, R.; Metcalfe, R.; Nordlander, A.; Periaux, J. Active control and drag optimization for flow past a circular cylinder: Oscillatory cylinder rotation. J. Comput. Phys. 2000, 163, 83–117. [Google Scholar] [CrossRef]
  23. Lebkowski, A. Analysis of the Use of Electric Drive Systems for Crew Transfer Vessels Servicing Offshore Wind Farms. Energies 2020, 13, 1466. [Google Scholar] [CrossRef]
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