• 제목/요약/키워드: Rayleigh-Plesset equation

검색결과 14건 처리시간 0.037초

시간에 따른 압력변화에 대한 마이크로 기포의 동적 반응 (Dynamics Response of a Micro Bubble under Temporal Pressure Variations)

  • 이우민;이승현;성재용;이명호
    • 한국가시화정보학회지
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    • 제12권1호
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    • pp.13-17
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    • 2014
  • The growth of micro bubble has been simulated under the variation of ambient pressure. The Rayleigh-Plesset equation governs the dynamic growth and collapse of a bubble according to pressure and temperature conditions. The Rayleigh-Plesset equation was solved by 4th-order Runge-Kutta method for wide range of pressure variations. As numerical parameters, the pressure difference between initial and final pressures, and the temporal pressure gradient are changed. The results show that the pressure difference has little effect on the growth rate of the micro bubble in the inertia controlled growth region. On the other hand, the growth rate increases linearly with the increase of the pressure gradient.

단일 구형 기포의 수학적 모델에 대한 수치적 해석 모델 (Numerical Modeling of the Mathematical Model of Single Spherical Bubble)

  • 강동근;양현익
    • 한국생산제조학회지
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    • 제19권6호
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    • pp.731-738
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    • 2010
  • Cavitation is described by formation and collapse of the bubbles in a liquid when the ambient pressure decreases. Formed bubbles grow and collapse by change of pressure, and when they collapse, shockwave by high pressure is generated. In general, bubble behavior can be described by Rayleigh-Plesset equation under adiabatic or isothermal condition and hence, phase shift by the pressure change in a bubble cannot be considered in the equation. In our study, a numerical model is developed from the mathematical model considering the phase shift from the previous study. In the developed numerical model, size of single spherical bubble is calculated by the change of mass calculated from the change of the ambient pressure in a liquid. The developed numerical model is verified by a case of liquid flow in a narrow channel.

소산이 고려된 보오텍스 모델과 버블 이론을 이용한 수중익 날개 끝 보오텍스 캐비테이션 거동 및 소음의 수치적 해석 (Numerical Analysis of Tip Vortex Cavitation Behavior and Noise on Hydrofoil using Dissipation Vortex Model and Bubble Theory)

  • 박광근;설한신;이수갑
    • 대한조선학회논문집
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    • 제43권2호
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    • pp.177-185
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    • 2006
  • Cavitation is the dominant noise source of the marine vehicle. Of the various types of cavitation , tip vortex cavitation is the first appearance type of marine propeller cavitation and it generates high frequency noise. In this study, tip vortex cavitation behavior and noise are numerically investigated. A numerical scheme using Eulerian flow field computation and Lagrangian particle trace approach is applied to simulate the tip vortex cavitation on the hydrofoil. Vortex flow field is simulated by combined Moore and Saffman's vortex core radius equation and Sculley vortex model. Tip vortex cavitation behavior is analyzed by coupled Rayleigh-Plesset equation and trajectory equation. The cavitation nuclei are distributed and released in the vortex flow result. Vortex cavitation trajectories and radius variations are computed according to nuclei initial size. Noise is analyzed using time dependent cavitation bubble position and radius data. This study may lay the foundation for future work on vortex cavitation study and it will provide a basis for proper underwater propeller noise control strategies.

독립공리 설계기법을 이용한 LCD 세정노즐의 최적설계 (Optimal Design of Water Jet Nozzles Utilizing Independence Design Axiom)

  • 신현석;이종수
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 춘계학술대회
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    • pp.1240-1247
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    • 2003
  • Water jet nozzle for LCD has been used as a wet cleaning process in many industries. It is necessary for the nozzle to consider cleaning effect and flux. In this paper, we applied the bubble dynamic theory(Rayleight-Plesset equation) to improve the cleaning efficiency. Generally, Rayleigh-Plesset equations for cavitation bubbles are used in analyzing computer simulation for caviting flows. Burst of bubbles causes potential energies and we can use these energies to remove organic and inorganic compounds on the LCD. Therefore, it is necessary to analyze the bubble generations and axiomatic design by computational fluid dynamics(CFD). By comparing the weight matrix of neural networks to the design matrix of axiomatic design, we propose methods to verify designs objectively. The optimal solution could be deduced by the regression analysis using the design parameters.

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침식 마모 손상된 차량용 워터펌프의 성능저하 연구 (Study on the Performance Deterioration of Erosion-corrosion Damaged Automotive Water Pump)

  • 전승원;박찬성;김윤호;이규정
    • 한국안전학회지
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    • 제24권2호
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    • pp.1-6
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    • 2009
  • 침식마모로 인하여 손상되어 차량화재를 유발한 차량용 워터펌프의 성능저하를 CFX프로그램을 이용하여 해석하였다. 손상에 따른 성능저하를 해석하기 위하여, 블레이드의 굽힘 변형과 간극의 증가를 고려하였다. 캐비테이션 해석 시에는 포화증기 발생과 응축 과정을 모델링하기 위하여 Rayleigh-Plesset 모델을 적용하였다.

A new cavitation model considering inter-bubble action

  • Shi, Yazhen;Luo, Kai;Chen, Xiaopeng;Li, Daijin;Jia, Laibing
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제13권1호
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    • pp.566-574
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    • 2021
  • The process of cavitation involves generation, growth, coalescence, and collapse of small bubbles and is tremendously influenced by bubble-bubble interactions. To understand these interactions, a new cavitation model based on the transport equation is proposed herein. The modified Rayleigh-Plesset equation is analyzed to determine the bubble growth rate by assuming equal-sized spherical bubble clouds. The source term in the transport equation is then derived according to the bubble growth rate with the bubble-bubble interaction. The proposed model is validated by various test simulations, including microscopic bubble cloud evolution as well as macroscopical two- and three-dimensional cavitating flows. Compared with previous models, namely the Kunz and Zwart cavitation models, the newly proposed model does not require adjustable parameters and generally results in better predictions both microscopic and macroscopical cases. This model is more physical.

초음파장하에서 미소기포의 완화적 거동 (Relaxation Behavior of a Microbubble under Ultrasonic Field)

  • 강상우;곽호영
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집B
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    • pp.550-555
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    • 2000
  • Nonlinear oscillation of a microbubble under ultrasound was investigated theoretically. The bubble radius-time curves calculated by the Rayleigh-Plesset equation with a polytropic index and by the Keller-Miksis equation with the analytical solution for the Navier-Stokes equations of the gases were compared with the observed results by the light scattering method. This study has revealed that the bubble behavior such as the expansion ratio and the bouncing motion after the first collapse under ultrasound depends crucially on the retarded time of the bubble motion to the applied ultrasound.

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Numerical Analysis of Unsteady Cavitating Flow around Balancing Drum of Multistage Pump

  • Sedlar, Milan;Kratky, Tomas;Zima, Patrik
    • International Journal of Fluid Machinery and Systems
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    • 제9권2호
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    • pp.119-128
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    • 2016
  • This work presents the numerical investigation of an unsteady cavitating flow around a balancing drum of a multistage pump. The main attention is focused on the cavitation phenomena, which occur in the rear part of the drum clearance, cause the erosion of the drum material and influence the pressure losses and the flow rate through the clearance. The one-way coupling of the URANS equations and the full Rayleigh-Plesset equation is employed to analyse the flow field as well as the dynamics of cavitating bubbles. The numerical simulations show that the erosion processes are highly influenced by shaft vibrations, namely by periodic deformations of the annular clearance in time. The calculated results are verified by erosion tests on a real pump.

다공판이 설치된 버터플라이밸브의 캐비테이션 발생 저감에 관한 수치적 연구 (A Numerical Study for Reducing Cavitation in a Butterfly Valve with a Perforated Plate)

  • 조성휘;김홍집;송근원
    • 한국유체기계학회 논문집
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    • 제17권3호
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    • pp.65-70
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    • 2014
  • The effectiveness of a perforated plate installed additionally at butterfly valve to reduce cavitation which can cause vibration, noise, erosion, and flow path blockage has been investigated using CFD. Rayleigh-Plesset equation was applied to simulate cavitation phenomena. 3D flow simulations have been performed for 6 cases to consider the occurrence of cavitation at the downstream of the valve. From the present results, the perforated plate was thought to be very effective to suppress the cavitation inside of the pipe.

수중 프로펠러의 소음 예측에 관한 연구(Part2. 공동 소음) (Numerical Analysis of Underwater Propeller Noise(Part 2 Cavitating Noise))

  • 설한신;이수갑;표상우;서정천
    • 대한조선학회논문집
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    • 제41권2호
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    • pp.33-46
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    • 2004
  • The cavitating noise of underwater propeller is considered numerically in this study. The main purpose of this research is to analyze these noise sources from marine propeller. The approach for investigation is a potential based panel method coupled with acoustic analogy. To predict propeller sheet cavitation noise, the blade surface cavity is considered as a single valued pulsating volume of vapor attached to the blade surface. The time dependent cavity volume data are used for noise prediction. Furthermore, we analyze hydrofoil cavitation bubble behavior and noise using Eulerian/Lagrangian approach. Through this study, we can analyze dominant noise source of marine propeller and provide a basis for proper noise control strategies.