• Title/Summary/Keyword: Unstable Region

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Measurement Techniques on Unsteady Flow at Impeller Exit (임펠러 출구에서의 비정상 유동 측정 기법)

  • Shin, You-Hwan;Kim, Kwang-Ho
    • The KSFM Journal of Fluid Machinery
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    • v.2 no.1 s.2
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    • pp.81-87
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    • 1999
  • This study presents the measurement techniques on the periodic fluctuating flow such as the discharge flow of a centrifugal impeller in an unstable operating region. During rotating stall, the flow at the exit of a centrifugal compressor impeller fluctuates periodically with a lower frequency than that of the blade passing. To observe the blade-to-blade flow characteristics during the rotating stall, the phases of all the sampled data sets should be adjusted to those of the reference signals with two processes, in these processes, DPLEAT (Double Phase-Locked Ensemble Averaging Technique) can be used. From these measurements and data processing techniques, the characteristics illustrated a blade-to-blade flow with high frequency, but also a periodic rotating stall flow with a low frequency at the centrifugal impeller exit which was clearly observed.

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Frequency Response Analysis of Pipe Conveying Harmonically Excited Fluid (내부 유체의 조화 가진에 의한 배관의 주파수응답해석)

  • Oh Jun-Seok
    • Journal of the Korea Institute of Military Science and Technology
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    • v.8 no.1 s.20
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    • pp.81-91
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    • 2005
  • It is well known that the natural frequencies of the pipe come to be lower as internal fluid velocity and pressure increase, and the pipe will be unstable if the fluid velocity is higher than critical velocity. But even if the velocity of the fluid below the critical velocity, resonance will be caused by pulsation of the fluid. So the effects of pulsating fluid in pipe should be also taken into consideration for better analysis. The research of the vibration of piping system due to a fluid pulsation has been studied by many people. But most of them are dealt with determining the boundary between stable and unstable region without analyzing forced response in the stable region. In this study, not only stability analysis but also forced response analysis, which is caused by harmonically excited fluid especially, is conducted. In order to analyze the system numerically, the descretized equation is formulated by using FEM(Finite Element Method). And the results of this method are compared with those of AMM(Assumed Mode Method) which were used by many researcher earlier.

Analysis of the Unstable Propeller Wake Using POD Method (POD(Proper Orthogonal Decomposition) 방법을 이용한 불안정한 프로펠러 후류 해석)

  • Paik, Bu-Geun;Kim, Kyung-Youl;Kim, Ki-Sup;Lee, Jung-Yeop;Lee, Sang-Joon
    • Journal of the Society of Naval Architects of Korea
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    • v.47 no.1
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    • pp.20-29
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    • 2010
  • The complicated flow characteristics of upper propeller wake influenced by hull wake are investigated in detail in the present study. A two-frame PIV (particle image velocimetry) technique was employed to visualize the upper propeller wake region. As the upper hull wake affects strongly propeller inflow, upper propeller wake shows much unstable vortical behavior, especially in the tip vortices. Velocity field measurements were conducted in a cavitation tunnel with a simulated hull wake. Generally, the hull wake generated by the hull of a marine ship may cause different loading distributions on the propeller blade in both upper and lower propeller planes. The unstable upper propeller wake caused by the ship's hull is expressed in terms of turbulent kinetic energy (TKE) and is identified by using the proper orthogonal decomposition (POD) method to characterize the coherent flow structure in it. Instabilities appeared in the eigen functions higher than the second one, giving unsteadiness to the downstream flow characteristics. The first eigen mode would be useful to find out the tip vortex positions immersed in the unstable downstream region.

Agglomeration (Dis-) Economies and Regional Economic Growth as a Spatial Economy (집적 (불)경제와 공간경제로서의 지역 경제 성장)

  • 김홍배;박재룡
    • Journal of the Korean Regional Science Association
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    • v.13 no.2
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    • pp.45-54
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    • 1997
  • A regional economy is characterized as a spatial economy. However the literature shows that it has been treated as a point economy since space is little recognized in regional modeling due to mathematical complication. This leads to the fact that regional model does not sufficiently represent regional characteristic. This paper attempts to construct a regional growth model in a partial equilibrium framework specifically taking into consideration land as a primary factor. The model is formulated largely neoclassical. Labor is assumed to move in response to differences in the wage rate, while capital is perfectly mobile across regions. The paper shows that two growth equilibrium points exist, one stable equilibrium point and the other unstable equilibrium point. The unstable growth equilibrium indicates the existence of minimum threshold that a region must overcome the minimum threshold to grow constantly. Consequently, directions of regional growth are characterized by two growth paths depending on the initial condition of a region. That is to say, a region below the minimum threshold is converging toward the lower stable equilibrium point over time. When a regional economy initially lies above the minimum threshold, it will grow forever. A regional economy is not thus necessarily converging a stationary is not thus necessarily converging a stationary equilibrium point through factor movement. Finally, the impacts of the presence of agglomeration economies and diseconomies are analyzed through the phase diagram. The paper also shows that agglomeration economies result in lowering the minimum threshold and in escalating the level of stable equilibrium However, when agglomeration diseconomies prevail, the results are opposite, i.e., rising the minimum threshold of growth and lowering the growth level of stable equilibrium.

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Variation of Optimum Operational pH in Partial Nitritation (암모니아 폐수의 부분아질산화에서 최적 운전 pH의 변동)

  • Bae, Wookeun;Khan, Hammad
    • Journal of Korean Society of Environmental Engineers
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    • v.38 no.5
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    • pp.228-235
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    • 2016
  • Nitrite accumulation is essential for constructing an anammox process. As the pH in the reactor exerts a complicated and strong influence on the reaction rate, we investigated its effects upon treatment of an ammonic wastewater (2,000 mgN/L) through modeling and experiment. The modeling results indicated that the reaction stability is strongly affected by pH, which results in a severe reduction of the 'stable region' of operation under alkaline environments. On a coordinate of the total ammonia nitrogen (TAN) concentration vs. pH, the maximal stable reaction rates and the maximal nitrite accumulation potentials could be found on the 'stability ridge' that separates the stable region from the unstable region. We achieved a stable and high ammonia oxidation rate (${\sim}6kgN/m^3-d$) with a nitrite accumulation ratio of ~99% when operated near the 'stability ridge'. The optimum pH that can be observed in experiments varies with the TAN concentrations utilized, although the intrinsic optimum pH is fixed. The direction of change is that the optimum operational pH falls as the TAN concentration increases, which is in excellent accordance with the observations in the literature. The optimum operational pH for 95% nitritation was predicted to be ~8.0, whereas it was ~7.2 for 55% partial nitritation to produce an anammox feed in our experimental conditions.

Coupled Vibration of Lateral and Torsional Vibrations in a Rotating Shaft Driven through a Universal Joint - Derivation of Equations of Motion and Stability Analysis - (유니버셜 조인트에 의해 구동되는 회전축의 횡진동과 비틀림진동의 연성진동 - 운동방정식의 유도 및 안정성해석 -)

  • 김정렬;전승환;이돈출
    • Journal of KSNVE
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    • v.9 no.3
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    • pp.461-465
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    • 1999
  • This paper presents theoretical analyses for unstable vibrations caused by the couple of bending and torsion in a rotating shaft driven through a universal joint. A driving shaft is assumed to be rigid and to rotate with a constant angular velocity. The driven shaft system consists of a flexible shaft with a circular section and a symmetrical rotor attached at a point between the shaft ends. Equations of motion derived hold with an accuracy of the second order of shaft deformations, and are analyzed by the asymptotic method. The vibrations become unstable when the driving shaft rotates with the angular velocity to be approximately equal to half of the sum of the natural frequencies for whirling and torsional vibrations.

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Thermo-Acoustic Instability in the Horizontal Rijke Tube

  • Song Woo-Seog;Lee Seung-Bae;Shin Dong-Shin;Na Yang
    • Journal of Mechanical Science and Technology
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    • v.20 no.6
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    • pp.905-913
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    • 2006
  • The instability curve of a Rijke tube system was obtained accurately by following different paths of heat power and flow-rate for three regions and by defining its locus from the criterion based on the measured sound pressure levels. The unstable limits in the region of flow-rate lower than that at the minimal power are compared with previous data. To observe the effect of turbulence on the unstable limits, inflow turbulence was introduced by placing a bundle of circular cylinders upstream of the heating part ($50). The large-amplitude inflow fluctuation may delay the transition of the chamber acoustic mode to the unstable Bone even at a sufficient power.

The Effect of Damping Plate on Mathieu-type Instability of Spar Platform (스파 플랫폼의 Mathieu형 불안정성에 미치는 감쇠판의 영향)

  • Rho, Jun-Bumn;Choi, Hang-Soon
    • Journal of the Society of Naval Architects of Korea
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    • v.42 no.2 s.140
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    • pp.124-128
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    • 2005
  • This paper describes motion stability of a spar platform with and without a damping plate in regular waves. The heave and pitch motion equation is derived in terms of Mathieu equation and the stability diagram is obtained. It is shown that the spar platform with damping plate has smaller unstable region than that without damping plate in the stability diagram. Model tests are carried out to verify the mathematical analysis. Under the condition that the pitch natural period is approximately double the heave natural period and the heave motion is amplified at heave resonance, unstable pitch motions are evoked. However the unstable motion is stabilized in cases of spar platform with damping plate. Therefore the damping plate is an effective device to stabilize the motion of spar platform.

Characteristics of Wind Environment in Dongbok·Bukchon Wind Farm on Jeju (제주 동복·북촌 풍력발전단지의 바람환경 특성분석)

  • Jeong, Hyeong-Se;Kim, Yeon-Hee;Choi, Hee-Wook
    • New & Renewable Energy
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    • v.18 no.1
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    • pp.1-16
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    • 2022
  • Climatic characteristics were described using the LiDAR (Light Detection and Ranging) and the met-mast on Dongbok·Bukchon region. The influences of meteorological conditions on the power performance of wind turbines were presented using the data of Supervisory Control And Data Acquisition (SCADA) and met-mast of the Dongbok·Bukchon Wind Farm (DBWF) located in Jeju Island. The stability was categorized into three parameters (Richardson number, Turbulence intensity, and Wind shear exponent). DBWF was dominant in unstable atmospheric conditions. At wind speeds of 14 m/s or more, the proportion of slightly unstable conditions accounted for more than 50%. A clear difference in the power output of the wind turbine was exhibited in the category of atmospheric stability and turbulence intensity (TI). Particularly, a more sensitive difference in power performance was showed in the rated wind speeds of the wind turbine and wind regime with high TI. When the flow had a high turbulence at low wind speeds and a low turbulence at rated wind speeds, a higher wind energy potential was produced than that in other conditions. Finally, the high-efficiency of the wind farm was confirmed in the slightly unstable atmospheric stability. However, when the unstable state become stronger, the wind farm efficiency was lower than that in the stable state.

A Theoretical Investigation of Nonlinear Chemical Reactions Near the Critical Point in the Presence of Diffusion

  • Shin, Seok-Min;Shin, Kook-Joe
    • Bulletin of the Korean Chemical Society
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    • v.7 no.4
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    • pp.283-288
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    • 1986
  • A nonlinear analysis is presented for the treatment of fluctuations near the critical point in the presence of diffusion in the Schlogl models. The two time scaling method is used to obtain an evolution equation for the amplitude of fluctuations. It is shown that the fluctuations decay to zero in the stable region and they are enhanced to a finite value as time goes to infinity in the unstable region.