Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
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Approximate Model of Viscous and Squeeze-film Damping Ratios of Heat Exchanger Tubes Subjected to Two-Phase Cross-Flow

2 상 유동장에 놓인 열 교환기 튜브에 작용하는 점성과 압착막 감쇠비의 어림적 해석 모델

  • Sim, Woo Gun (Dept. of Mechanical Engineering, Hannam Univ.)
  • 심우건 (한남대학교 기계공학과)
  • Received : 2014.07.07
  • Accepted : 2014.09.19
  • Published : 2015.01.01
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Abstract

An analytical model was developed to estimate the viscous and squeeze-film damping ratios of heat exchanger tubes subjected to a two-phase cross-flow. Damping information is required to analyze the flow-induced vibration problem for heat exchange tubes. In heat exchange tubes, the most important energy dissipation mechanisms are related to the dynamic interaction between structures such as the tube and support and the liquid. The present model was formulated considering the added mass coefficient, based on an approximate model by Sim (1997). An approximate analytical method was developed to estimate the hydrodynamic forces acting on an oscillating inner cylinder with a concentric annulus. The forces, including the damping force, were calculated using two models developed for relatively high and low oscillatory Reynolds numbers, respectively. The equivalent diameters for the tube bundles and tube support, and the penetration depth, are important parameters to calculate the viscous damping force acting on tube bundles and the squeeze-film damping forces on the tube support, respectively. To calculate the void fraction of a two-phase flow, a homogeneous model was used. To verify the present model, the analytical results were compared to the results given by existing theories. It was found that the present model was applicable to estimate the viscous damping ratio and squeeze-film damping ratio.

2 상 유동장에 놓인 열 교환기 튜브에 작용하는 점성 감쇠비와 압착막 감쇠비를 예측하기 위한 해석 모델이 개발되었다. 열 교환기 튜브에 작용하는 유동유발진동을 해석하기 위하여 감쇠에 대한 정보가 요구된다. 열 교환기 튜브에서 가장 중요한 에너지 소산 기구는 튜브와 지지물과 같은 구조물과 액체 사이의 동적 작용에 연계되어 있다. 본 모델은 1997 년 발표된 근사모델에 근거하고 부가질량계수를 고려하여 개발되었다. 어림적 해석모델은 동심환 내에서 진동하는 내부 실린더에 작용하는 수력학적 힘을 계산하기 위하여 개발되었다. 점성력을 포함한 수동력은 높고 혹은 낮은 진동 레이놀드 수에 따라 개발된 두 가지 모델을 사용하여 각각 계산할 수 있다. 관군과 지지대에서의 상당 직경과 침투깊이는 관군에 작용하는 점성 감쇠력과 지지대에서의 압착막 감쇠력을 각각 계산하는데 매우 중요한 변수이다. 2 상 유동의 기공률을 계산하기 위하여 균질모델이 사용되었다. 본 모델을 검증하기 위하여, 모델의 해석결과는 기존의 이론으로 구한 결과와 비교하였다. 본 모델을 사용하여 점성 감쇠비와 압착막 감쇠비를 어림적으로 구할 수 있음을 보였다.

Keywords

References

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