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Ski jump trajectory with consideration of air resistance 被引量:4

Ski jump trajectory with consideration of air resistance
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摘要 In the case of the ski-jump type energy dissipation, the jet trajectory will be greatly affected by the air entrainment and the air resistance. It is necessary to consider those factors when estimating the trajectory of the jet flow. In this work, the effect of the air resistance on the jet trajectory is theoretically and experimentally investigated. A comprehensive resistance coefficient is proposed. To determine this coefficient, experiments of five models are conducted with the circular-shaped flip bucket placed at the point of the takeoff of ski jumps. It is shown that, this coefficient of the lower jet trajectory is only related to the approach flow Froude number, while that of the upper jet trajectory is dominated by both this Froude number and the deflection angle. Furthermore, the present methodology is validated by experimental data in this work and the maximum errors are not larger than 3.2% and 8.6% for the lower and upper jet trajectories, respectively. In the case of the ski-jump type energy dissipation, the jet trajectory will be greatly affected by the air entrainment and the air resistance. It is necessary to consider those factors when estimating the trajectory of the jet flow. In this work, the effect of the air resistance on the jet trajectory is theoretically and experimentally investigated. A comprehensive resistance coefficient is proposed. To determine this coefficient, experiments of five models are conducted with the circular-shaped flip bucket placed at the point of the takeoff of ski jumps. It is shown that, this coefficient of the lower jet trajectory is only related to the approach flow Froude number, while that of the upper jet trajectory is dominated by both this Froude number and the deflection angle. Furthermore, the present methodology is validated by experimental data in this work and the maximum errors are not larger than 3.2% and 8.6% for the lower and upper jet trajectories, respectively.
出处 《Journal of Hydrodynamics》 SCIE EI CSCD 2015年第3期465-468,共4页 水动力学研究与进展B辑(英文版)
基金 supported by the National Natural Science Foun-dation of China(Grant No.51179056)
关键词 TRAJECTORY jet flow comprehensive resistance coefficient hydropower project trajectory, jet flow, comprehensive resistance coefficient, hydropower project
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参考文献5

  • 1PLUMPTON C., TOMKYS W. A. Theoretical mechanics for sixth form[M]. Hongkong, China: Book Marketing Ltd., 1989.
  • 2LIU Xuan-lie, ZHANG Wen-zhou. Effect of air resistance on jet trajectory[J]. Journal of Tianjin University, 1982,28(2): 67-78(in Chinese).
  • 3HELLER V., HAGER W. H. Ski jump hydraulics[J]. Journal of Hydraulic Engineering, ASCE, 2005, 131(5): 347-355.
  • 4WU Jian-hua, RUAN Shi-ping. Cavity length below chute aerators[J]. Science China, Series E: Technology Sciences 2008,51(2): 170-178.
  • 5SCHMOCKER L., PFISTER M. and HAGER W. H. et al. Aeration characteristics of ski jump jets[J]. Journal of Hydraulic Engineering, ASCE, 2008, 134(1): 90- 97.

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