• 제목/요약/키워드: Stability Limit

검색결과 1,071건 처리시간 0.023초

Stability Analysis of the Karman Boundary-Layer Flow

  • Lee, Yun-Yong;Hwang, Young-Kyu
    • International Journal of Air-Conditioning and Refrigeration
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    • 제10권1호
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    • pp.50-63
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    • 2002
  • The Karman boundary-layer has been numerically investigated for the disturbance wave number, wave velocity, azimuth angle and radius (Reynolds number, Re). The disturbed flow over rotating disk can lead to transition at a much lower Re than that of the well-known Type I instability. This early transition is due to the excitation of the Type II. Presented are the neutral stability results concerning these instabilities by solving newly formulated stability equations with consideration of whole convective terms. When the present numerical results are compared with the previously known results, the value of critical Re corresponding to Type I is moved from ${Re}_{c.1}$=285.3 to 270.2 and the value corresponding to Type II from ${Re}_{c.2}$=69.4 to 36.9, respectively. Also, the corresponding wave number is moved fro)m $k_1$=0.378 to 0.386 for Type I; from $k_2$=0.279 to 0.385 for Type II. For Type II, the upped limit of wave number and azimuth angle is $k_u$=0.5872, $\varepsilon_u$=$-17.5^{\circ}$, while its lower limit is near $k_u$=0, $\varepsilon_u$=$-28.4^{\circ}$. This implies that the disturbances will be relatively fast amplified at small Re and within narrow bands of wave number compared with the previous results.

Seismic stability analysis of tunnel face in purely cohesive soil by a pseudo-dynamic approach

  • Huang, Qi;Zou, Jin-feng;Qian, Ze-hang
    • Geomechanics and Engineering
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    • 제23권1호
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    • pp.1-13
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    • 2020
  • To give a solution for seismic stability of tunnel faces subjected to earthquake ground shakings, the pseudo-dynamic approach is originally introduced to analyze tunnel face stability in this study. In the light of the upper-bound theorem of limit analysis, an advanced three-dimensional mechanism combined with pseudo-dynamic approach is proposed. Based on this mechanism, the required support pressure on tunnel face can be obtained by equaling external work rates to the internal energy dissipation and implementing an optimization searching procedure related to time. Both time and space feature of seismic waves are properly accounted for in the proposed mechanism. For this reason, the proposed mechanism can better represent the actual influence of seismic motion and has a remarkable advantage in evaluating the effects of vertical seismic acceleration, soil amplification factor, seismic wave period and initial phase difference on tunnel face stability. Furthermore, the pseudo-dynamic approach is compared with the pseudo-static approach. The difference between them is illustrated from a new but understandable perspective. The comparison demonstrates that the pseudo-static approach is a conservative method but still could provide precise enough results as the pseudo-dynamic approach if the value of seismic wavelengths is large or the height of soil structures is small.

연소 안정성 평가 시험을 통한 배플 길이의 안정성 여분 평가

  • 김홍집;이광진;서성현;김승한;한영민;설우석
    • 항공우주기술
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    • 제3권1호
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    • pp.188-196
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    • 2004
  • 수동제어기구로서 사용되는 배플의 축방향 길이의 최적화 및 한계를 평가하기 위하여, 축방향 길이를 작동인자로 하여 연소 안정성 여분을 평가하였다. 외부 교란 발생 장치로서 2번의 기폭이 가능한 펄스건을 사용하였다. 외부 교란에 대한 연소실에서의 응답 특성을, 감쇠 시간과 진폭비와 같은 인자를 도입하여 정량화하였다. 설계점과 탈설계점에서 시험을 수행하였으며, 분사기의 충돌점으로 생각할 수 있는 화염 영역을 감싸지 못하는 경우에는 배플의 충분한 감쇠 능력을 보장할 수 없음을 확인하였다. 따라서 연소 안정성의 여분의 경계는 50mm 정도의 배플인 것으로 판단되었다.

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Calculation of Active Power Transfer Capability using Repeated Power Flow Program

  • Ham, Jung-Pil;Kim, Jung-Hoon;Lee, Byung-Ha;Won, Jong-Ryul
    • KIEE International Transactions on Power Engineering
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    • 제12A권1호
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    • pp.15-19
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    • 2002
  • The power transfer capability is determined by the thermal, dynamic stability and voltage limits of the generation and transmission systems. The voltage stability depends on the reactive power limit and it affects the power transfer capability to a great extent. Then, in most load flow analysis, the reactive power limit is assumed as fixed, relatively different from the actual case. This paper proposes a method for determining the power transfer capability from a static voltage stability point of view using the IPLAN which is a high level language used with PSS/E program. The f-V curve for determining the power transfer capability is determined using Repeated Power Flow method. It Is assumed that the loads are constant and the generation powers change according to the merit order. The maximum reactive power limits are considered as varying similarly with the actual case and the effects of the varied maximum reactive power limits to the maximum power transfer capability are analyzed using a 5-bus power system and a 19-bus practical power system.

전압벡터의 유효분 감도지표 dP/de 수정법에 의한 견고한 전압안정도 평가에 관한 연구 (Robust algorithm for estimating voltage stability by the modified method of sensitivity index dP/de of real value on voltage vector)

  • 송길영;김세영;김용하
    • 대한전기학회논문지
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    • 제45권1호
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    • pp.1-8
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    • 1996
  • Recently, much attention has been paid to problems which is concerned with voltage instability phenomena and much works on these phenomena have been made. In this paper, by substituting d $P_{k}$ d $e_{k}$ ( $v^{\rarw}$= e +j f) for $P_{k}$ in conventional load flow, direct method for finging the limit of voltage stability is proposed. Here, by using the fact that taylor se- ries expansion in .DELTA. $P_{k}$ and .DELTA. $Q_{k}$ is terminated at the second-order terms, constraint equation (d $P_{k}$ d $e_{k}$ =0) and power flow equations are formulated with new variables .DSLTA. e and .DELTA.f, so partial differentiations for constraint equation are precisely calculated. The fact that iteratively calculated equations are reformulated with new variables .DELTA.e and .DELTA.f means that limit of voltage stability can be traced precisely through recalculation of jacobian matrix at e+.DELTA.e and f+.DELTA.f state. Then, during iterative process divergence may be avoid. Also, as elements of Hessian mat rix are constant, its computations are required only once during iterative process. Results of application of the proposed method to sample systems are presented. (author). 13 refs., 11 figs., 4 tab.

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Probabilistic analysis for face stability of tunnels in Hoek-Brown media

  • Li, T.Z.;Yang, X.L.
    • Geomechanics and Engineering
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    • 제18권6호
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    • pp.595-603
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    • 2019
  • A modified model combining Kriging and Monte Carlo method (MC) is proposed for probabilistic estimation of tunnel face stability in this paper. In the model, a novel uniform design is adopted to train the Kriging, instead of the existing active learning function. It has advantage of avoiding addition of new training points iteratively, and greatly saves the computational time in model training. The kinematic approach of limit analysis is employed to define the deterministic computational model of face failure, in which the Hoek-Brown failure criterion is introduced to account for the nonlinear behaviors of rock mass. The trained Kriging is used as a surrogate model to perform MC with dramatic reduction of calls to actual limit state function. The parameters in Hoek-Brown failure criterion are considered as random variables in the analysis. The failure probability is estimated by direct MC to test the accuracy and efficiency of the proposed probabilistic model. The influences of uncertainty level, correlation relationship and distribution type of random variables are further discussed using the proposed approach. In summary, the probabilistic model is an accurate and economical alternative to perform probabilistic stability analysis of tunnel face excavated in spatially random Hoek- Brown media.

An improved collapse analysis mechanism for the face stability of shield tunnel in layered soils

  • Chen, Guang-hui;Zou, Jin-feng;Qian, Ze-hang
    • Geomechanics and Engineering
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    • 제17권1호
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    • pp.97-107
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    • 2019
  • Based on the results of Han et al. (2016), in the failure zone ahead of the tunnel face it can be obviously identified that a shear failure band occurs in the lower part and a pressure arch happens at the upper part, which was often neglected in analyzing the face stability of shield tunnel. In order to better describe the collapse failure feature of the tunnel face, a new improved failure mechanism is proposed to evaluate the face stability of shield tunnel excavated in layered soils in the framework of limit analysis by using spatial discretization technique and linear interpolation method in this study. The developed failure mechanism is composed of two parts: i) the rotational failure mechanism denoting the shear failure band and ii) a uniformly distributed force denoting the pressure arch effect. Followed by the comparison between the results of critical face pressures provided by the developed model and those by the existing works, which indicates that the new developed failure mechanism provides comparatively reasonable results.

프로그램과 도표에 의한 사면안정해석의 비교연구 (A comparative study on slope stability by program and stability cahrt)

  • 주경훈;김주철;이종규
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 1994년도 가을 학술발표회 논문집
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    • pp.253-258
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    • 1994
  • Recently, computer technique for the analysis of slope stability enable to reduce a considerable time and efforts. And also, stability problems can be approached by using stablility chart which was basically developed to handle the problems under simple conditions only. Most of the conventional slope stability computer programs and stability chart are still based on the general limit equilibrium method. 16 types of sample slopes and 2 types of failure slope were compared and analysed by stability charts and programs. This research work intend to apply 4 types of conventional computer programs based on the same theoretical backgroung and 7 types of stability charts for solving the same stability problems and the results and compared and analysed in order to justify their reliability.

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복사 열손실을 받는 대향류 확산화염의 불안정성 해석 (Instability Analysis of Counterflow Diffusion Flames with Radiation Heat Loss)

  • 이수룡
    • 대한기계학회논문집B
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    • 제36권8호
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    • pp.857-864
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    • 2012
  • 복사열손실을 받는 확산화염의 선형 안정성 해석을 수행하여 복사강도와 Damkohler 수에 대한 화염 불안정이 나타나는 조건을 확인하였다. 대향류 유동장을 모델로 하여 Lewis 수는 1로 가정하였다. 반응속도 제한에 의한 소염근처에서 교란의 증가율은 실수의 고유값을 가지며 안정한계는 정상상태 소염조건과 정확하게 일치한다. 반면에 복사 열손실에 의한 소염 영역 근처에서 증가율의 고유값은 복소수이며 정상상태 소염 전에 맥동 불안정성이 예측된다. 진동하는 화염온도가 양의 실수 고유값을 갖는 정상상태 화염온도 보다 클 경우에만 한계 순환 안정 특성이 나타난다. 만약 그 온도보다 작게 되면 화염은 회복되지 못하고 소염된다. 넓은 복사강도 범위에 대하여 복사 열손실에 의한 불안정성의 안정한계 곡선을 도시하였다.

수소 첨가가 예혼합 메탄 화염의 NOx 생성에 미치는 영향 (Hydrogen Enrichment Effects on NOx Formation in Pre-mixed Methane Flame)

  • 김한석;안국영
    • 한국수소및신에너지학회논문집
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    • 제18권1호
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    • pp.75-84
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    • 2007
  • The effects of hydrogen enrichment to methane on NOx formation have been investigated with swirl stabilized pre-mixed hydrogen enriched methane flame in a laboratory-scale pre-mixed combustor(nominally of 5,000 kcal/hr). The hydrogen enriched methane fuel and air were mixed in a pre-mixer and introduced to the combustor through different degrees of swirl vanes. The flame stability was examined for different amount of hydrogen addition to the methane fuel, different combustion air flow rates and swirl strengths by comparing equivalence ratio at the lean flame limit. The hydrogen addition effects and swirl intensity on the combustion characteristics of pre-mixed methane flames were examined using gas analyzers, and OH chemiluminescence techniques to provide information about species concentration of emission gases and flowfield. The results of NOx and CO emissions were compared with a diffusion flame type combustor. The results show that the lean stability limit depends on the amount of hydrogen addition and the swirl intensity. The lean stability limit is extended by hydrogen addition, and is reduced for higher swirl intensity at lower equivalence ratio. The addition of hydrogen increases the NOx emission, however, this effect can be reduced by increasing either the excess air or swirl intensity. The NOx emission of hydrogen enriched methane premixed flame was lower than the corresponding diffusion flame under the fuel lean condition.