• 제목/요약/키워드: Linear Instability Analysis

검색결과 164건 처리시간 0.034초

5-블레이드 배플이 설치된 로켓엔진 연소실에서의 상온음향 해석 (Acoustic Analysis of KSR-III Combustion Chamber with Various 5-Blade Baffles under Non-Reacting Condition)

  • 김홍집;김성구;손채훈
    • 한국연소학회:학술대회논문집
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    • 한국연소학회 제26회 KOSCO SYMPOSIUM 논문집
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    • pp.167-171
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    • 2003
  • Acoustic characteristics of baffled combustion chamber to elucidate suppressing effect of baffle on combustion instability are numerically investigated by linear acoustic analysis. A hub-blade baffle of 5 blades is selected as a candidate one and five variants of baffles with various configuration are designed. Resonant-frequency shift and damping factor are analyzed quantitatively as damping parameters. When the hub is located radially at the pressure node, the decrease of resonant frequency and increase of damping factor in 1R mode are dominant. But sub-1T mode is formed within hub, therefore, there would be a possibility of initiating 1T mode in unbaffled region, which would occur another problem. For smaller hub size, four kinds of axial baffle length is selected. As the axial baffle length increases, resonant frequency shift and increase of damping factor of transverse acoustic modes is obtained. Especially, two close acoustic modes such as 1L and 1T could be overlapped for a certain axial length, resulting in extreme increase of damping factor. The present study based on linear acoustic analysis is expected to be a useful confirming tool to predict acoustic field and design a passive control devices such as baffle and acoustic cavity.

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Instability of Evaporation Fronts in the Interstellar Medium

  • 김정규;김웅태
    • 천문학회보
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    • 제38권1호
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    • pp.46.2-46.2
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    • 2013
  • The neutral component of the interstellar medium (ISM) is segregated into the cold neutral medium (CNM) and warm neutral medium (WNM) as a result of thermal instability. It was found that the CNM--WNM evaporation interface, across which the CNM undergoes thermal expansion, is linearly unstable to corrugational disturbances, in complete analogy with the Darrieus-Landau instability (DLI) in terrestrial flames. To explore dynamical consequences of the DLI in the ISM, we perform a linear stability analysis of the DLI including the effect of thermal conduction as well as nonlinear hydrodynamic simulations. We find that the DLI is suppressed at short length scales via heat transport. The linear growth time of the fastest growing mode is proportional to the square of the evaporation flow speed of the CNM relative to the interface and is typically >10 Myr. In the nonlinear stage, perturbations grow into cusp-like structure protruding toward the WNM, and soon reach a steady state where the evaporation rate is increased by a factor of 2 compared to the initial state. We demonstrate that the amplitude of the interface distortion and enhancement in evaporation rate are determined primarily by the density ratio between the CNM and WNM. Given quite a long growth time and highly subsonic velocities at saturation, the DLI is unlikely to play an important role in the ISM dynamics.

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분포매개변수를 이용한 디스크 브레이크의 마찰기인 불안정성 해석 (Analysis of the Friction Induced Instability of Disc Brake using Distributed Parameter Model)

  • 차병규;조용구;오재응
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 춘계학술대회논문집
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    • pp.601-606
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    • 2004
  • This paper deals with friction-induced vibration of disc brake system under constant friction coefficient. A linear, lumped and distributed parameter model to represent the floating caliper disc brake system is proposed. The complex eigenvalues are used to investigate the dynamic stability and in order to verify simulations which are based on the theoretical model, the experimental modal test and the dynamometer test are performed. The comparison of experimental and theoretical results shows a good agreement and the analysis indicates that mode coupling due to friction force is responsible for disc brake squeal. And squeal type instability is investigated by using the parametric analysis. This indicates parameters which have influence on the propensity of brake squeal. This helped to validate the analysis model and establish confidence in the analysis results. Also they may be useful during system development or diagnostic analysis.

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분포매개변수를 이용한 디스크 브레이크의 마찰기인 불안정성 해석 (Analysis of the Friction Induced Instability of Disc Brake Using Distributed Parameter Model)

  • 차병규;조용구;홍정혁;이유엽;이정윤;오재응
    • 한국소음진동공학회논문집
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    • 제14권8호
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    • pp.702-708
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    • 2004
  • This paper deals with friction-induced vibration of disc brake system under constant friction coefficient. A linear, lumped and distributed parameter model to represent the floating caliper disc brake system is proposed. The complex eigenvalues are used to investigate the dynamic stability and in order to verify simulations which are based on the theoretical model, the experimental modal test and the dynamometer test are performed. The comparison of experimental and theoretical results shows a good agreement and the analysis indicates that mode coupling due to friction force is responsible for disc brake squeal. And squeal type Instability is Investigated by using the parametric analysis. This indicates parameters which have influence on the propensity of brake squeal. This helped to validate the analysis model and establish confidence in the analysis results. Also they may be useful during system development or diagnostic analysis.

액체 로켓엔진에서 선형 연소 불안정 해석을 이용한 연소 안정한계 곡선 계산 (Calculation of Combustion Stability Limits Using Linear Stability Analysis in Liquid Rocket Engines)

  • 손채훈;문윤완;허환일
    • 한국항공우주학회지
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    • 제32권10호
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    • pp.93-101
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    • 2004
  • 액체 로켓엔진에서 발생하는 고주파 연소 불안정성을 예측하기 위해 선형 안정한계를 계산하는 방법을 연구하였다. 기존의 선형이론에 근거하여 유도된 선형 안정한계를 나타내는 안정한계 식을 채택하였으며, 그 식을 구성하는 각각의 항을 정량적으로 평가하는 방안들이 제시되었다. 안정한계 계산에 필요한 열-화학 물성치와 유동 변수를 열역학적 평형계산과 CFD 해석 및 실험 결과로부터 평가하는 구체적 절차들을 상세히 제시하였다. 실제 로켓엔진으로서 시험 데이터가 확보되어 있는 KSR-III 로켓엔진에 대해서 제시한 방법을 적용하여 안정한계 곡선을 구하였다. 계산결과는, 해당 엔진에 대해 정량적으로 타당한 안정한계 곡선을 보여주었다. 이를 토대로 해당 엔진의 안정성 특성을 분석하였다. 본 연구에서 제시된 선형 안정한계 계산 방법은 진정한 예측의 1차적 근사로서 활용할 만한 가치가 있으며, 엔진 개발 초기에 근사적으로 안정성 경향을 분석하기에 유용할 것이다.

A SIMPLE ANALYTICAL METHOD FOR NONLINEAR DENSITY WAVE TWO-PHASE INSTABILITY IN A SODIUM-HEATED AND HELICALLY COILED STEAM GENERATOR

  • Kim, Seong-O;Choi, Seok-Ki;Kang, Han-Ok
    • Nuclear Engineering and Technology
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    • 제41권6호
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    • pp.841-848
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    • 2009
  • A simple model to analyze non-linear density-wave instability in a sodium-cooled helically coiled steam generator is developed. The model is formulated with three regions with moving boundaries. The homogeneous equilibrium flow model is used for the two-phase region and the shell-side energy conservation is also considered for the heat flux variation in each region. The proposed model is applied to the analysis of two-phase instability in a JAEA (Japan Atomic Energy Agency) 50MWt No.2 steam generator. The steady state results show that the proposed model accurately predicts the six cases of operating temperatures on the primary and secondary sides. The sizes of three regions, the secondary side pressure drop according to the flow rate, and the temperature variation in the vertical direction are also predicted well. The temporal variations of the inlet flow rate according to the throttling coefficient, the boiling and superheating boundaries and the pressure drop in the two-phase and superheating regions are obtained from the unsteady analysis.

수직하방 분사된 주의 비선형 거동에 관한 연구 (A Study on the Nonlinear Motion of a Vertical Liquid Jet)

  • 석지권;정환문;문수연;이충원
    • 대한기계학회논문집B
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    • 제26권1호
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    • pp.45-54
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    • 2002
  • The breakup phenomena of a vertical laminar jet issuing from capillary tubes in a quiescent ambient air are investigated using a forced vibration analysis of the surface wave. Using a linear approach to the transient jet velocity, an approximate solution fur the longitudinal motion of a vertical liquid jet is theoretically derived, thus performing an instability analysis by a vibration method. The damping term of this equation is nonlinear as it depends on dimensionless parameters, a Weber number, and an Ohnesorge number. The instability condition is determined based on whether the coefficient of the damping term is less than zero or not. Uniform drop formation is dependent on the vibration frequency fur the forced vibration case.

Microinstabilities at Quasi-Perpendicular Shocks in the High-�� ICM

  • Kim, Sunjung;Ha, Ji-Hoon;Ryu, Dongsu;Kang, Hyesung
    • 천문학회보
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    • 제45권1호
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    • pp.52.2-52.2
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    • 2020
  • At quasi-perpendicular shocks in the high-�� (��=Pgas/Pmag~100) intracluster medium (ICM), various microinstabilities occur by the temperature anisotropies and/or drift motions of plasma. In the downstream, the Alfvén ion cyclotron instability (AIC) due to the ion temperature anisotropy (Ti⊥>Ti║) is triggered by shock-reflected ions, the whistler instability (WI) is driven by the electron temperature anisotropy (Te⊥>Te║) as a consequence of the shock compression of magnetic fields, and the mirror instability is generated due to the ion and/or electron temperature anisotropy. At the shock foot, the modified two stream instability (MTSI) is possibly excited by the cross-field drift between ions and electrons. In the upstream, electron firehose instability (EFI) is driven by the electron temperature anisotropy or the relative drift between incoming and reflected electrons. These microinstabilities play important roles in the particle acceleration in ICM shocks, so understanding of the microinstabilities and the resultant plasma waves is essential. In this study, based on a linear stability analysis, the basic properties of the microinstabilities in ICM shocks and the ion/electron scale fluctuations are described. We then discuss the implication of our work on the electron pre-acceleration in ICM shocks.

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음향공명기가 장착된 가스터빈 연소실의 음향장 해석 (Numerical Analysis of Acoustic Behavior in Gas Turbine Combustor with Acoustic Resonator)

  • 박이선;손채훈
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 추계학술대회
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    • pp.1110-1115
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    • 2004
  • Acoustic behavior in gas turbine combustor with acoustic resonator is investigated numerically by adopting linear acoustic analysis. Helmholtz-type resonator is employed as acoustic resonator to suppress acoustic instability passively. The tuning frequency of acoustic resonator is adjusted by varying its length. Through harmonic analysis, acoustic-pressure responses of chamber to acoustic excitation are obtained and the resonant acoustic modes are identified. Acoustic damping effect of acoustic resonator is quantified by damping factor. As the tuning frequency of acoustic resonator approaches the target frequency of the resonant mode to be suppressed, mode split from the original resonant mode to lower and upper modes appears and thereby complex patterns of acoustic responses show up. Considering mode split and damping effect as a function of tuning frequency, it is desirable to make acoustic resonator tuned to broad-band frequencies near the maximum frequency of those of the possible upper modes.

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쌍입력 기술함수를 갖는 비선형 보상기를 이용한 유연한 빔의 제어 (The Control of Flexible Beam using Nonlinear Compensator with Dual-Input Describing Function)

  • 권세현;이형기;최부귀
    • 제어로봇시스템학회논문지
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    • 제4권5호
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    • pp.644-650
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    • 1998
  • In this paper , a state space model for flexible beam is presented using the assumed-modes approach. The state space equation is derived for a flexible beam in which one end is connected to a motor and is driven by a torque equation and the other end is free. Many of the transfer function proposed thus far use the torque to the flexible beam as the input and the tip deflection of the flexible beam as the output. The Technique for the analysis and synthesis of the dual-input describing function(DIDF) is introduced here and the construction of a non-linear compensator, based on this technique, is proposed. This non-linear compensator, properly connected in the direct path of a closed-loop linear or non-linear control system. The above non-linear network is used to compensate linear and non-linear systems for instability, limit cycles, low speed of response and static accuracy. The effectiveness of the proposed scheme is demonstrated through computer simulation and experimental results.

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