• Title/Summary/Keyword: 열 불안정성

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Analysis of Hot Judder of Disc Brakes for Automotives by Using Finite Element Method (유한 요소법을 이용한 자동차용 디스크 브레이크의 열간 저더 해석)

  • Jung, Sung-Pil;Park, Tae-Won;Chung, Won-Sun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.4
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    • pp.425-431
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    • 2011
  • Thermal energy generated because of the friction between the disc and pad is transferred to both sides and causes thermal expansion of the material, which affects the contact pressure distribution. This phenomenon, which is called thermoelastic instability (TEI), is affected by the natural mode of a disc. TEI results in the formation of a hot spot and causes hot judder vibrations. In this study, three-dimensional analysis of the hot judder of a ventilated disc for automotives was performed by using the commercial finite element analysis program, SAMCEF. The intermediate processor based on a staggered approach was used to exchange the result data of the mechanical and thermal model. The hot spot was formed on the surface of the disc, and the number of hot spots was compared with the natural mode of the disc.

An experimental study on the instability of lean premixed turbulent combustion induced by thermo-acoustics (열-음향에 의한 난류희박 예혼합연소의 불안정성에 관한 실험적 연구)

  • Hong, Jung-Goo;Lee, Min-Chul;Shin, Hyun-Dong
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.1166-1171
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    • 2004
  • The combustion instability acts as a serious obstacle for the lean premixed combustion of gas turbine and even causes the fatal damage to the combustor and whole system. In this experiment, the pressure fluctuation is highly related to the stabilizing position of flame and fuel injection location. The fuel injection location is connected with the convection time of the fresh mixture, which is important time scale to refresh the mixtures near the flame stabilization location. The flame is extremely unstable when the alternative stabilization occurs and bulk mode frequency (${\sim}10Hz$) of pressure fluctuation is observed in this condition. It was found that the convection time scale of the fresh reactant coincided with the time scale of the bulk mode fluctuation. Hence this phenomenon results from the local equivalence ratio change caused by the pressure fluctuation induced by thermo-acoustic effects.

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Nonlinear Behaviors of Pulsating Instabilities in Counterflow Diffusion Flames with Radiation Heat Loss (복사 열손실을 받는 대향류 확산화염의 맥동 불안정성의 비선형 거동)

  • Lee, Su Ryong;Park, Sung Cheon
    • Journal of the Korean Society of Combustion
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    • v.17 no.3
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    • pp.9-16
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    • 2012
  • Nonlinear dynamics of pulsating instability in radiating counterflow diffusion flames is numerically investigated by imposing Damk$\ddot{o}$hler number perturbation. Stable limit-cycle solutions occur in small ranges of Damk$\ddot{o}$hler numbers past bifurcation point of instability. Period doubling cascade and chaotic behaviors appear just before dynamic extinction occurs. Nonlinear dynamics is also studied when large disturbances are imposed to flames. For weak steady flames, the dynamic extinction range shrinks as the magnitudes of disturbances are increased. However, strong steady flames can overcome relatively large disturbances, thereby the dynamic extinction range extending. Stable limit-cycle behaviors reappears prior to dynamic extinction when the steady flames are strong enough.

Stability Analysis of Wakes with Chemical Reaction (연소 반응을 가지는 후류 유동의 불안정성)

  • 신동신;홍성제
    • Journal of the Korean Society of Propulsion Engineers
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    • v.2 no.2
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    • pp.30-37
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    • 1998
  • This paper investigates the linear stability of wakes with special emphasis on the effect of chemical reaction. Velocity and density profiles for laminar flows are obtained from analytic profiles as well as from simulation. Wakes have two generalized inflection points and two unstable modes-sinuous and varicose modes. For analytical laminar profiles, sinuous modes are more unstable than varicose modes irrespective of density variation, which shows wakes will be destabilized by sinuous modes. Large velocity difference and density difference lead to more unstable wakes due to large momentum difference. For simulated laminar profiles, chemical reaction with stoichiometric chemistry increases temperature and stabilizes the flow due to increase in compressible reacting wades, flow becomes stable as velocity increases due to viscous dissipation.

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Experimental Study on Edge Flame Instabilities in Solid Rocket Combustion (고체로켓연소에서 에지화염 불안정성에 대한 실험적 연구)

  • Hwang Dong-Jin;Park Jeong;Kim Jeong-Soo;Kim Sung-Cho;Kim Tae-Kwon
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2006.05a
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    • pp.279-282
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    • 2006
  • Experiments in low strain rate methane-air counterflow diffusion flames diluted with $CO_2$ have been conducted to investigate the flame extinction behavior and edge flame oscillation The critical mole fraction at flame extinction is examined in terms of velocity ratio and global strain rate. Onset conditions of the edge flame oscillation and the relevant modes are also provided with global strain rate. It is observed that flame length is intimately relevant to lateral heat loss, and this affects flame extinction and edge flame oscillation considerably. Edge flame oscillations are categorized into three: a growing-, a decaying-, and a harmonic-oscillation mode.

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Experimental Study on Cellular Instabilities in Diluted Syngas-Air Premixed Flames (희석제가 첨가된 합성가스-공기 예혼합화염에 있어서 셀 불안정성에 관한 실험적 연구)

  • Vu, Tran Manh;Song, Won-Sik;Park, Jeong;Kim, Jeong-Soo;Yun, Jin-Han;Keel, Sang-In
    • Journal of the Korean Society of Propulsion Engineers
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    • v.14 no.5
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    • pp.72-83
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    • 2010
  • Experiments were conducted to investigate the effects of added diluents (carbon dioxide, nitrogen, and helium) on cellular instabilities in outwardly propagating spherical syngas-air premixed flames. Laminar burning velocities and Markstein lengths were measured by analyzing high-speed schlieren images at various diluent concentrations and equivalence ratios. Experimental results showed substantial reduction of the laminar burning velocities and of the Markstein lengths with the diluent additions in the fuel blends. Effective Lewis numbers of helium-diluted syngas-air flames increased but those of carbon dioxide- and nitrogen-diluted syngas-air flames decreased in increase of diluents in the reactant mixtures. With helium diluent, the propensity for cells formation was significantly diminished, whereas the cellular instabilities for carbon dioxide- and nitrogen-diluted syngas-air flames were not suppressed.

국채선물을 이용한 채권포트폴리오의 VECM과 VAR모형에 의한 헤지

  • Han, Seong-Yun;Im, Byeong-Jin;Won, Jong-Hyeon
    • The Korean Journal of Financial Studies
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    • v.8 no.1
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    • pp.231-252
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    • 2002
  • 2000년 7월부터 채권시가평가의 실행으로 채권운용자들도 채권포트폴리오의 위험을 채권선물을 이용하여 통제하거나 감소시키기 위해 헤지를 하여야 한다. 이때 헤지비율을 추정하는 방법으로는 전통적 회귀분석모형, 백터오차수정모형(Vector Error Correction Model : VECM)과 VAR모형(Vector AutoRegressive Model)이 있다. 전통적인 회귀분석모형에 의하여 추정된 헤지비율은 시계열자료의 불안정성(nonstationary) 등으로 인하여 잘못 추정될 가능성이 있어 면밀한 검토와 분석 후 사용하여야 한다. 시계열자료의 불안정성으로 말미암아 야기되는 문제점들을 개선할 수 있는 모형으로서 VECM과 VAR모형이 널리 이용되고 있다. 따라서 본 연구는 VECM과 VAR모형을 사용하여 추정된 헤지비율과 전통적 회귀분석모형을 사용하여 추정한 헤지비율을 비교하여 어떤 모형으로 추정한 헤지비율이 더 정확한지를 평가하는데 목적을 두고 있다. 즉, 본 연구는 KTB 현 선물의 헤징에 대한 연구로 2000년 1월 4일부터 2001년 7월 27일까지 385일간의 KTB 현 선물 자료와 불룸버그 국채지수를 대상으로 VECM 및 VAR모형과 전통적 회귀분석모형에 의한 헤지비율을 추정하고 각 모형의 설명력과 예측력을 비교하고자 한다. 이 연구의 실증분석 결과, KTB 현물가격과 KTB 선물가격간, 블룸버그 국채지수와 KTB 선물가격간에는 공적분 관계가 존재하며, VECM 및 VAR와 전통적 회귀분석모형을 이용하여 추정한 최적헤지비율의 크기는 대동소이(大同小異)하며, 전통적 회귀분석방법을 이용하는 것이 VECM과 VAR모형을 이용할 때 보다 설명력과 예측력이 우월한 것으로 나타났다.

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Vibration Characteristics of Lean Premixed Flame Anchored by a Hydrogen Pilot Flame in a Tube (파일롯 화엄에 의해 고정된 관내 예혼합 화염의 진동 특성)

  • Guahk, Young-Tae;Oh, Kwang-Chul;Shin, Hyun-Dong
    • 한국연소학회:학술대회논문집
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    • 2004.06a
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    • pp.42-48
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    • 2004
  • Lean laminar premixed propane and methane flames which were anchored by a hydrogen-pilot flame in a tube were investigated experimentally. The flame shapes were observed by varying mean velocity from 10cm/s to 140cm/s and equivalence ratio from 0.45 to 0.8. In this study, behaviors of flames are divided into five regions such as tail-out, flash-back, flickering, stable and vibrating flames with respect to the mean velocity and the equivalence ratio. Although the flames are unstable in both the flickering and the vibrating region, they have different characteristics such as the frequency, sound generation and creation process of flame curvature. The flickering region exists near the flammability limit and the flame flickers in a frequency of about 10Hz. When flame front is bended, the propane flame front is straightened and the methane flame front is bended more by thermo-diffusive instability. In the vibrating region, the flame vibrates emitting audible sound in a frequency of about 100Hz. In the boundary of vibrating region, the vibration of flame changes between two modes such as single frequency vibration and dual frequency vibration. Increase and decrease of vibration in each mode are determined by thermo-acoustic instability.

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Thermoelastic Instability of the Layer Sliding between Two Non-conducting Half-planes (비전도 반평판 사이에서 미끄럼 운동하는 평판 층의 열탄성 불안정성)

  • 하태원;조용구;김흥섭;이정윤;오재응
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.05a
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    • pp.483-488
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    • 2003
  • Frictional heating in brakes causes thermoelastic distortion of the contacting bodies and hence affects the contact pressure distribution. The resulting thermo-mechanical coupling can cause thermoelastic instability (TEI) if the sliding speed is sufficiently high, leading to non-uniform heating called hot spots and low frequency vibration known as hot judder. The vibration of brakes to the known phenomenon of frictionally-excited thermoelastic instability is estimated studying the interface temperature and pressure evolution with time. A simple model has been considered where a layer with half-thickness ${\alpha}$ slides with speed V between two half-planes which are rigid and non-conducting. The advantage of this properly simple model permits us to deduce analytically the critical conditions for the onset of instability, which is the relation between the critical speed and the growth rate of the interface temperature and pressure. Symmetrical component of pressure and temperature distribution at the layer interfaces can be more unstable than antisymmetrical component. As the thickness ${\alpha}$ reduces, the system becomes more apt to thermoelastic instability. Moreover, the evolution of the system beyond the critical conditions has shown that even if low frequency perturbations are associated with low critical speed, it might be less critical than high frequency perturbations if the working sliding speed is much larger than the actual critical speed of the system.

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An Estimation of the Optimal Hedge Ratio in KOSPI 200 Spot and Futures (KOSPI 200 현(現).선물간(先物間) 최적(最適)헤지비율(比率)의 추정(推定))

  • Chung, Han-Kyu
    • The Korean Journal of Financial Management
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    • v.16 no.1
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    • pp.223-243
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    • 1999
  • 포트폴리오의 위험을 통제하거나 감소시키기 위해서 헤저들은 최적헤지비율을 추정하여야 하는데, 최적헤지비율의 추정치는 사용하는 모형에 따라 많은 차이를 보인다. 전통적인 회귀분석모형에 의하여 추정된 최적헤지비율은 시계열자료의 불안정성(nonstationary) 등으로 인하여 잘못될 가능성이 많으며, 잘못 추정된 헤지비율을 그대로 이용할 경우 현물포트폴리오의 시장위험을 최소화시키지 못하고 헤징비용을 증가시키는 결과를 초래한다. 시계열자료의 불안정성으로 말미암아 야기되는 문제점들을 개선할 수 있는 모형으로서 오차 수정모형(Error Correction Model : ECM)이 널리 이용되고 있다. 본 연구는 ECM을 사용하여 추정된 최적헤지비율과 전통적 회귀분석모형을 사용하여 추정한 최적헤지비율을 비교하여 어떤 모형으로 추정한 헤지비율이 더 정확한지를 평가하는데 목적을 두고 있다. 즉, 본 연구는 KOSPI 200 현 선물지수 자료를 대상으로 ECM과 전통적 회귀분석모형에 의한 최적헤지비율을 추정하고 각 모형의 설명력과 예측력을 비교하고자 한다. 실증분석 결과, KOSPI 200 현물지수와 KOSPI 200 선물지수간에는 공적분 관계가 존재하며, ECM과 전통적 회귀분석모형을 이용하여 추정한 최적헤지비율의 크기는 서로 다르며, ECM을 이용할 때 모형의 설명력이 조금 더 높게 나타났으며, 예측력도 ECM이 좀더 우월한 것으로 나타났다.

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