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Numerical Investigation of Effect of Opening Pattern of Flow Control Valve on Underwater Discharge System using Linear Pump

유량제어밸브 개방형태가 선형펌프 방식 수중사출 시스템에 미치는 영향에 관한 수치적 연구

  • Lee, Sunjoo (The 6th Research and Development Institute, Agency for Defense Development)
  • 이선주 (국방과학연구소 제6기술연구본부)
  • Received : 2018.11.26
  • Accepted : 2019.02.08
  • Published : 2019.04.05

Abstract

In the present study, the effect of opening patterns of a flow control valve on underwater discharge systems using a linear pump was investigated numerically. For that, a improved mathematical model was developed. The improvement is to separate a middle tank from a water cylinder because the cross-section area of the inlet of the middle tank is an important parameter. To validate the improved model, calculation results were compared with a previous study. The results showed that $2^{nd}$ order or more polynomial opening patterns had an advantage over ramp opening patterns. Higher an order of polynomial resulted in wider operating limits. An escape velocity and a maximum acceleration of underwater vehicle were affected by time derivative of the cross-section area of the flow control valve. Besides, as a velocity profile of the vehicle got closer to linearity, the escape velocity got faster and the maximum acceleration got smaller. And velocities of the vehicle and piston had similar variation trend.

Keywords

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Fig. 1. Schematic of an underwater discharge system using a linear pump

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Fig. 2. Notation of hydraulic system

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Fig. 3. Notation of water system

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Fig. 4. Schematic of SIMULINK model

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Fig. 5. Comparison between the present model and Park & Jung[6]’s model

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Fig. 6. Examples of opening pattern of the flow control valve

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Fig. 7. Operation limits with ramp or polynomial opening patterns of the flow control valve

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Fig. 8. Operation limits with 4th order polynomial opening patterns of flow control valve

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Fig. 9. Comparisons of cases with the same maximum acceleration of the underwater vehicle

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Fig. 10. Comparisons of cases with the same escape velocity of the underwater vehicle

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Fig. 11. Correlation coefficient of velocity of underwater vehicle

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Fig. 12. Comparison between underwater vehicle velocity and piston velocity at ⓐ of Fig. 8

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Fig. 13. Area of ‘Z’ with 4th order polynomial opening patterns of flow control valve

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Fig. 14. Comparison of dimensionless velocity at maximum ‘Z’

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