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Transport of a capsule immersed in a vertical pipe

수직한 수송관 내부의 캡슐 이송

  • Kim, Taehong (Department of Mechanical Engineering, Sogang University) ;
  • Park, Ryeol (Department of Mechanical Engineering, Sogang University) ;
  • Jeong, Joonho (Korea Atomic Energy Research Institute) ;
  • Kim, Wonjung (Department of Mechanical Engineering, Sogang University)
  • Received : 2019.04.02
  • Accepted : 2019.04.10
  • Published : 2019.04.30

Abstract

We report a study on the dynamics of the transport of a capsule immersed in a vertical pipe. Techniques to convey objects through liquid flow pipes using a hydraulic mean are used to transport sludge and hazardous materials. For the better understanding of the techniques, we developed a theoretical model to predict the transport speed of a cylindrical capsule in a vertical pipe. The comparison of the model prediction with the experiments shows that our model using the lubrication approximation precisely describes the experimental observations in cases where the gap between the capsule and pipe wall is sufficiently small. Our study suggests parameters to control the falling speed and thus enable an accurate control of the capsule speed in hydraulic transport systems.

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Fig. 1. Schematic illustration of a capsule moving through a pipe

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Fig. 3. Time-lapse images of a capsule moving through a pipe. The inner diameter of the pipe, the capsule diameter (2R), and mean flow speed of liquid (v) are 32 mm, 31 mm, and 0.37 m/s, respectively. In two consecutive images, the travel distance of the capsule is equal to 76 mm.

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Fig. 4. (a) Control volume to examine the fluid layer between the wall and capsule, shown as the dashed line box. (b) Free body diagram for the capsule. (c) Control volume to examine the mass conservation, shown as the dashed line box.

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Fig. 2. (a) Schematic illustration of the experimental set-up. (b) Capsule used in our experiments. (c) Disassembly of the capsule composed of the acrylic housings and the neodymium magnets.

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Fig. 5. Dependence of t.he capsule speed on the mean flow speed of the liquid. (a) Experimental results and theoretical prediction for e* = 0.03. The solid and dashed lines are the theoretical predictions of the capsule speed for ρc = 880 kg/m3 and ρc = 3000 kg/m3, respectively. (b) Experimental results and theoretical prediction for e* = 0.07. The solid, dashed, and dotted lines are the theoretical predictions of the capsule speed for ρc = 880 kg/m3, ρc = 2000 kg/m3, and ρc = 3000 kg/m3, respectively.

Acknowledgement

Supported by : 한국연구재단

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