• Title/Summary/Keyword: Helmholtz Mode

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Effect of the Vibration Modes on the Radiation Sound for Plate (강판의 진동모드를 고려한 방사음 예측에 관한 연구)

  • Kim Chang-Nam;Byun Young-Su;Kim Jeong-Man;Kim Ue-Kan
    • Journal of Advanced Marine Engineering and Technology
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    • v.30 no.1
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    • pp.73-80
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    • 2006
  • In order to compute the radiated sound from a vibrating structure, the Rayleigh's integral equation has to be derived from the Helmholtz equation using Green's function. Generally, the surface velocity in the Rayleigh's integral equation uses the root mean square(rms) velocity. The calculation value is too large, because it's not considered cancelation. On the other hand. using the complex velocity, the sound pressure is calculated too small, because it considers that sound is perfectly canceled out. Therefore, this thesis proposes a correction factor(CF) which considers vibration modes and the method by which to calculate the radiating sound pressure. The theoretical results are compared with the experimental values, and the proposed method can be verified with confluence.

An Experimental Investigation of Combustion Characteristics in a Model Combustor by Reproduction of GE 7FA+e DLN-2.6 Gas Turbine (GE 7FA+e DLN-2.6 연소기를 모사한 모형 가스터빈 연소기의 연소불안정 특성에 대한 실험적 연구)

  • Kim, Min-Ki;Lee, Jang-Su;Park, Seong-Soon;Yoon, Young-Bin
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2009.11a
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    • pp.231-235
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    • 2009
  • The mainly objectives of this study was a combustion dynamics and instability characteristics in a model dump type combustor which is scale down of GE 7FA+e DLN 2.6 gas turbine combustor with running at Seo-Inchon combined cycle power plant. Model gas turbine injector has 2-stage swirl vane and it's reduced 1/3 size of the original one. The shape of plenum and combustor were designed for similar acoustic characteristics. As the result, this research have been shows the peak frequency of model combustor was changed quarter-wave mode to Helmholtz resonator mode in plenum and longitudinal mode in dump combustor at unstable flame conditions caused by the different of combustor temperature and fuel-air mixture distributions.

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GE 7FA+e DLN-2.6 Gas Turbine Combustor : Part II Design of Lab Scale Dump Combustor (GE 7FA+e DLN-2.6 가스터빈 연소기 연구 : Part II 모형 덤프 연소기 설계)

  • Oh, Jeong-Seog;Kim, Min-Ki;Heo, Pil-Won;Lee, Jang-Soo;Yoon, Young-Bin
    • Journal of the Korean Society of Propulsion Engineers
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    • v.12 no.5
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    • pp.51-59
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    • 2008
  • DLN-2.6 combustion tuning was carried out for the maintenance of GE 7FA+e gas turbine at Seo-Incheon combined cycle power plant. DLN-2.6 combustion system has the higher level of yellow plume and combustion vibration problem in the initial operating mode than that of the base mode($100{\sim}160MW$). The objectives of this study are to investigate the causes of yellow plume and combustion vibration problems at the starting mode and to suggest the best operating condition for the reliable working of the real combustors. By the analysis of tuning data, we could conclude that a yellow plume is caused by the rich mixture(${\phi}{\sim}1$) in a PM 1 nozzle at mode 3($20{\sim}30MW$). In addition, the combustion vibration($120{\sim}140Hz$) might be related to the cold flow characteristics of PM 3 nozzles at mode 6B($40{\sim}45MW$).

Estimation of sound radiation for a flat plate by using BEM and vibration experiment (경계요소 해석과 진동 실험을 이용한 단순 평판의 방사 음향 예측)

  • 김관주;김정태;최승권
    • Journal of KSNVE
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    • v.10 no.5
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    • pp.843-848
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    • 2000
  • BEA(Boundary Element Analysis) based on Kirchhoff-Helmholtz integral equation is widely used in the prediction of sound radiation problems of vibrating structures. Accurate estimation of sound pressure distribution by BEA can be [possible if and only if dynamic behavior of the relating structure was described correctly. Another plausible method of sound radiation phenomena could be the NAH(Nearfield Acoustic Holography) method. NAH also based on the identical governing equation with BEA could be one of the best acoustic imaging schemes but it has disadvantages of the complexity of measurement and of the need of large amount of measuring points. In this paper, modal expansion method is presented for taking accurate dynamic data of the structures efficiently. This method makes use of vibration principle an arbitrary dynamic behavior of the structure is described by the summation of that structures mode shapes which can be calculated by FEA easily and accurately. Sound pressure field from a vibration flat plate is calculated using the combination of vibration signal on that flat plate from experiment, and of the natural mode shapes form FEA. When sound pressure field from vibration signal is calculated the importance of the phase information was emphasized.

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Nature of the Wiggle Instability of Galactic Spiral Shocks

  • Kim, Woong-Tae;Kim, Yonghwi;Kim, Jeong-Gyu
    • The Bulletin of The Korean Astronomical Society
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    • v.39 no.1
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    • pp.37.2-37.2
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    • 2014
  • Gas in disk galaxies interacts nonlinearly with a underlying stellar spiral potential to form galactic spiral shocks. Numerical simulations typically show that these shocks are unstable to the wiggle instability, forming non-axisymmetric structures with high vorticity. While previous studies suggested that the wiggle instability may arise from the Kelvin-Helmholtz instability or orbit crowding of gas elements near the shock, its physical nature remains uncertain. It was even argued that the wiggle instability is of numerical origin, caused by the inability of a numerical code to resolve a shock that is inclined to numerical grids. In this work, we perform a normal-mode linear stability analysis of galactic spiral shocks as a boundary-value problem. We find that the wiggle instability originates physically from the potential vorticity generation at a distorted shock front. As the gas follows galaxy rotation, it periodically passes through multiple shocks, successively increasing its potential vorticity. This sets up a normal-mode that grows exponentially, with a growth rate comparable to the orbital angular frequency. We show that the results of our linear stability analysis are in good agreement with the those of local hydrodynamic simulations of the wiggle instability.

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3D Acoustic Field Analysis in an Annular Combustor System under a Cold Flow Condition (환형 연소기 시스템에서 비연소 3D 음향장 해석)

  • Lim, Jaeyoung;Kim, Daesik
    • Journal of the Korean Society of Propulsion Engineers
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    • v.21 no.6
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    • pp.49-56
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    • 2017
  • The current study has developed an in-house 3D FEM code in order to model thermoacoustic problems in an annular system and compared the acoustic field calculation results with measured ones from a benchmark combustor. From the comparison of calculation results with the measured data, the current acoustic code could successfully capture the various acoustic mode found in the annular system. In addition, it was found that the transverse waves in the combustor were strongly affected by the nozzle acoustic impedances, as well, the pressure distributions were closely related with the combustor acoustic pressure field.

The Characteristics of DC-shift in Hybrid Rocket (하이브리드 로켓에서의 DC-shift 발생 특성)

  • Kang, Dong-Hoon;Lee, Chang-Jin
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.38 no.5
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    • pp.456-466
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    • 2010
  • Typical combustion instability such as DC-Shift found in the hybrid rocket motor is characterized by non-linearity. DC-Shift can occur in two different realizations. One is so-called a positive shift of measured DC voltage where the pressure increase suddenly. The other is a negative shift where the pressure drops abruptly. In the present work, specifically the negative DC-Shift was investigated to analyze the effect of oxidizer flow condition and the resonance between fundamental frequency and other ones, such as Helmholtz frequency, and acoustic frequency. Results show a peak frequency of several hundreds HZ shifts as combustion proceeds. A negative DC-shift was found as the result of phase cancellation between two dominant frequency, combustion frequency and flow related frequency. Still is it required to study further to identify the change of dominance of frequency during the combustion.

Long Wave Investigation at the Shelf and in the Bays of South Kuril Islands (남부 Kuril 열도의 육붕과 만에서의 장파분석)

  • Djumagaliev, V.A.;Rabinovich, A.B.
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.5 no.4
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    • pp.318-328
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    • 1993
  • A series of long wave measurements was made in the region of Shikotan Island (the South Kuril Islands) during 1990-1992: 7 bottom pressure stations were installed in 5 bays and inlets of Shikotan and 3 precise microbarographs were situated at the shore. The observations were taken in order to monitor tsunami waves, estimate resonance features of coastal topography, and investigate seiche generation mechanism. It was found that forced long waves dominate in the motions with periods exceeding 2 hours, freely propagating long waves prevail at periods of 30-120 min and eigen-oscillations of bays (seiches) are the predominant type of long waves at periods less than 30 min. The Helmholtz mode with period 30 min in Krabovaya Bay and 18.5 min in Malokurilskaya Bay is the most important type of wave motion in the inner Shikotan basins. There is a good correlation between passages of atmospheric disturbances and generation of seiches near the coast of Shikotan Island. In particular, jumps in atmospheric pressure excite seiches in different bays simultaneously, in each one with the corresponding dominant period. The atmospheric spectra were remarkably smooth and stable, and could be described by a $\omega$$^{-2}$26/ power law.

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Effects of Flame Transfer Function on Modeling Results of Combustion Instabilities in a 3 Step Duct System (3단 덕트 시스템에서 화염전달함수가 연소불안정 모델링 결과에 미치는 영향)

  • Hong, Sumin;Kim, Daesik
    • Journal of ILASS-Korea
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    • v.25 no.3
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    • pp.119-125
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    • 2020
  • In this paper, we used Helmholtz solver based on 3D finite element method to quantitatively analyze the effects of change of gain, time delay and time delay spread, which are the main variables of flame transfer function, on combustion instability in gas turbine combustor. The effects of the variable of flame transfer function on the frequency and growth rate, which are the main results of combustion instability, were analyzed by applying the conventional heat release fluctuation model and modified one considering the time spread. The analysis results showed that the change of gain and time delay in the same resonance mode affected the frequency of the given resonance modes as well as growth rate of the feedback instability, however, the effect of time delay spread was not relatively remarkable, compared with the dominant effect of time delay.

Long-Period Harbor Oscillations in Gamcheon Harbor

  • Jeong, Weon-Mu;Lee, Kil-Seong;Park, Woo-Sun;Jung, Kyung-Tae
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 1998.09a
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    • pp.117-123
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    • 1998
  • Long-period wave oscillations in a harbor could create unacceptable vessel movements leading to the downtime of moored ships. It is practically very difficult to prevent long-period harbor oscillations, but extension of breakwaters at the harbor mouth could be a countermeasure in part. Narrowing a harbor mouth might give rise to increase in the energy loss due to flow separation near the mouth, which in turn makes resonant periods of the harbor become longer, especially for the first (or Helmholtz) resonant mode. (omitted)

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