• Title/Summary/Keyword: Instability constant

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Combustion Instability Characteristics due to the Beating Phenomenon in the Dual Swirl Gas Turbine Model Combustor (이중선회 가스터빈 모델연소기에서 맥놀이 현상으로 인한 연소불안정 특성)

  • Jang, Munseok;Lee, Keeman
    • Journal of the Korean Society of Propulsion Engineers
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    • v.20 no.6
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    • pp.61-69
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    • 2016
  • This study is the results related to the combustion instability phenomenon with respect to combustor length and thermal power as variables in dual swirling combustor configuration. Especially, the beating phenomena having the insensitive resonance frequency of relatively constant peaks are observed when the combustor lengths increase in a lower power regime. This beating phenomenon might be occurred due to the interacting behaviors of pilot and main burners with different periods. Therefore, such insensitive response seems to be a result of the beating phenomenon with interaction between the pilot and main flames even though the combustor lengths are increased.

Crack growth instability based on COD-R curve (COD-저항곡선을 이용한 불안정 균열 성장에 관한 연구)

  • 한창석;엄윤용;송지호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.1
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    • pp.53-63
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    • 1988
  • Using COD-R curves, instability of crack growth in ductile material is studied here. Tearing modulus $T_{\delta}$, based on the COA concept is defined and the instability criterion $T_{{\delta}{\app}}$> $T_{{\delta}{\mat}}$ is compared with experiments. Variations of the COD-R curve and the location of rotation center are experimentally investigated as the initial crack ratio varies. Three-point bend specimens of alloy steel SCM4 are used here and two clip-on gauges are installed in order to obtain the COD-R curve. The results show that the tearing modulus $T_{\delta}$ is a good measure to characterize the instability of crack growth. Also it is found that the location of rotation center is almost constant regardless of the initial crack ratio and the amount of the crack growth.

Effects of the Slopes of the Rotational Axis and Bearing Preloads on the Natural Frequencies and Onset Speed of the Instability of a Rotor Supported on Gas Foil Bearings (가스 포일 베어링으로 지지된 고속 회전체의 경사각과 베어링의 기계적 예압이 고유 진동수와 불안정성 발생 속도에 미치는 영향)

  • Park, Moon Sung;Lee, Jong Sung;Kim, Tae Ho
    • Tribology and Lubricants
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    • v.30 no.3
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    • pp.131-138
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    • 2014
  • This study investigates the effects of the slopes of the rotational axis and bearing preloads on the natural frequencies and onset speeds of the instability of a rotor supported on gas foil bearings (GFBs). The predictive model for the rotating system consists of a rigid rotor supported on two gas foil journal bearings (GFJBs) and a pair of gas foil thrust bearings (GFTBs). Each GFJB supports approximately half the rotor weight. As the slope of the rotational axis increases from $0^{\circ}$(horizontal rotor operation) to $90^{\circ}$(vertical rotor operation), the applied load on the GFJB owing to the rotor weight decreases. The predictions show that the natural frequency and onset speed of instability decrease significantly with an increase in the slope of the rotational axis. In a parametric study, the nominal radial clearance and preload for the GFJB were changed. In general, a decrease in the nominal radial clearance lead to an increase in the natural frequency and onset speed of instability. For constant assembly clearance, the decrease in the preload changed the natural frequency and onset speed of instability with insignificant improvements in the rotordynamic stability. The present predictions can be used as design guidelines for GFBs for oil-free high-speed rotating machinery with improved rotordynamic performance.

The Complex Formation of Gallium Bromide with i-Butyl Bromide in Nitrobenzene) (니트로벤젠용액내에서의 브롬화갈륨과 i-브롬화부틸과의 착물형성에 관한 연구)

  • Gwon, O Cheon;NamGung, Jin Hui;Choe, Gi Jun
    • Journal of the Korean Chemical Society
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    • v.38 no.3
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    • pp.208-213
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    • 1994
  • The solubility of i-butyl bromide in nitrobenzene have been measured at 19, 25 and $40^{\circ}C$ in the presence and absence of gallium bromide. In the presence of gallium bromide, 1 : 1 complex, $i-C_4H_9Br{\cdot}GaBr_3$ is formed in the solution. The instability constant K of the complex formation was evaluated from the following equilibrium equation. $i-C_4H_9Br{\cdot}GaBr_3{\rightleftharpoons}C_4H_9Br + 1/2Ga_2Br_6.$ From these result, it seems that the stabilities of the complex formation, gallium bromide with alkyl bromide, are directly related with those of the carbonium ions of alkyl bromide.

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A New Negative Impedance Stabilizing Control Technique for Switching Power Supplies with Constant Power Loads

  • Emadi A.
    • Proceedings of the KIPE Conference
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    • 2001.10a
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    • pp.276-280
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    • 2001
  • In this paper, an approach to the design of negative impedance stabilizing controllers for PWM DC/DC converters that are used in DC switching. power supplies with constant power loads is presented. The control approach is based on the feedback linearization technique. Because of the negative impedance destabilizing characteristics of constant power loads, classical linear control methods have stability limitations around the operating points. However, the proposed stabilizing technique improves large-signal stability and dynamic responses. The proposed controllers are simulated and their responses under different operations are studied. Stability of the control technique is also verified using the second theorem of Lyapunov.

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The Influence of Liquid Atomization Models on Diesel Sprays (디젤분무에 대한 액체미립화모델들의 영향)

  • 이성혁;유홍선;홍기배
    • Transactions of the Korean Society of Automotive Engineers
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    • v.8 no.6
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    • pp.22-30
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    • 2000
  • The present article deals with comparisons of published liquid breakup models for diesel sprays to analyze the influence of breakup models on various spray parameters. The three different models tested in this study are the surface wave instability (Wave) model, the Taylor analogy breakup (TAB) model, and the drop drag model(DDM). The numerical results using these models are compared with several experimental data to assess the prediction capabilities of breakup models. Additional task in this study is to investigate effects of the breakup time constant in the Wave model on the spray parameters because the spray behavior is sensitive to the breakup time constant. It is seen that there is uncertainly about the breakup time constant indicating that the suitable acceptance of the constant is important, and the TAB model generally shows significant under-prediction of Sauter Mean Diameter(SMD). In addition, it may be indicated that differences between the DDM and Wave model are not significant, showing that the DDM may be suitable for air-assisted atomization rather than pressure atomization.

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Stability Analysis of a Discontinuous Free Timoshenko Beam Subjected to a Controlled Follower Force (불연속 단면을 갖고 제어 종동력을 받는 자유 Timoshenko보의 안정성 해석)

  • 류봉조;박영필
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.2
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    • pp.478-487
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    • 1991
  • In this study, dynamic stability of discontinuous free Timoshenko beam, barring a concentrated mass, under constant follower force is considered. Governing differential equations are derived based on the extended Hamilton's principle and finite element method is applied for numerical analysis. Conclusions of the study are as follows : (1) Without force direction control, (i) the critical follower force at instability is increased with concentrated mass regardless of discontinuity. (ii) the minimum critical follower force is located in the vicinity of discontinuity position .xi.$_{d}$=0.75. (iii) at mass location .mu. .leq.0.5 the force at instability is decreased as magnitude of concentrated mass is increased but, at .mu. .geq. 0.5 the force is increased as the mass is increased. (2) With force direction control, (i) shear deformation parameter S contributes insignificantly to the force at instability when S>10$^{[-993]}$ (ii) maximum critical follower force can be obtained for the discontinuity location .xi.$_{d}$=0.25. (iii) the critical follower force is increased as magnitude of concentrated mass .alpha. is increased at mass location .mu. .geq.0.4, but is increased, .mu ..leq.0.4.4.

Laminar Burning Velocities and Flame Stability Analysis of Hydrocarbon/Hydrogen/Carbon Monoxide-air Premixed Flames (탄화수소/수소/일산화탄소-공기의 예혼합화염에서 층류화염전파속도와 화염안정성)

  • Vu, Tran Manh;Song, Won-Sik;Park, Jeong;Lee, Kee-Man
    • Journal of the Korean Society of Combustion
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    • v.16 no.2
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    • pp.23-32
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    • 2011
  • To investigate cell formation in hydrocarbon/hydrogen/carbon monoxide-air premixed flames, the outward propagation and cellular instabilities were experimentally studied in a constant pressure combustion chamber at room temperature and elevated pressures. Unstretched laminar burning velocities and Markstein lengths of the mixtures were obtained by analyzing high-speed schlieren images. In this study, hydrodynamic and diffusional- thermal instabilities were evaluated to examine their effects on flame instabilities. The experimentally-measured unstretched laminar burning velocities were compared to numerical predictions using the PREMIX code. Effective Lewis numbers of premixed flames with methane addition decreased for all of the cases; meanwhile, effective Lewis numbers with propane addition increased for lean and stoichiometric conditions and increased for rich and stoichiometric cases for hydrogen-enriched flames. With the addition of propane, the propensity for cell formation significantly was diminished, whereas cellular instabilities for hydrogen-enriched flames were promoted. However, similar behavior of cellularity was obtained with the addition of methane to the reactant mixtures.

Effective Calculation Method Finding the Limit of Voltage-Stability (효율적인 전압안정도 한계점 계산에 관한 연구)

  • Song, K.Y.;Kim, S.Y.;Choi, S.G.
    • Proceedings of the KIEE Conference
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    • 1991.11a
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    • pp.35-38
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    • 1991
  • Recent, problems on the voltage-instability have been paid attention in power system and methods to find the limit of voltage-stability, concerned with these problems, were developed. However, these methods are short of precision on the limit of voltage-instability. Here, using the second-order load flow, constraint equation(d Pi/d Vi=0) and its patial differentiations are precisely formulated. Also, since the taylor series expansion of power flow equations terminates at the second-order terms, partial differentiations of constraint equation, that is Hessian, are constant. Then, Hessian matrix are calculated once during iteration process.

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The Thermal Analysis of Brake Disc using the Solid Model and 2D Coupled Model (솔리드모델과 2D 연성모델을 사용한 브레이크 디스크의 열해석)

  • 강상욱;김창진;이대희;김흥섭
    • Transactions of the Korean Society of Automotive Engineers
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    • v.11 no.6
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    • pp.93-100
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    • 2003
  • This paper describes the thermoelastic instability arising from friction heat generation in braking and proposes the finite element methods to predict the variation of temperature and thermal deformation. In a conventional disc brake analysis, heat generation is only related with wheel speed and friction material and the interface pressure between disc and pad is assumed constant. But under dynamic braking conditions, the frictional heat causes the thermoelastic distortion that leads to more concentrated contact pressure distribution and hence more and more non-uniform temperature. In this paper, to complete the solution of the thermomechanically coupled problem, the linear relation model between pressure and temperature is proposed and demonstrated in examples of a simple two dimensional contact problem. And the two dimensional model has been extended to an annular three dimensional disc model in order to consider more realistic geometry and to provide a more accurate critical speed for automotive brake systems.