• 제목/요약/키워드: Critical state model

검색결과 459건 처리시간 0.026초

A stress model reflecting the effect of the friction angle on rockbursts in coal mines

  • Fan, Jinyang;Chen, Jie;Jiang, Deyi;Wu, Jianxun;Shu, Cai;Liu, Wei
    • Geomechanics and Engineering
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    • 제18권1호
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    • pp.21-27
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    • 2019
  • Rockburst disasters pose serious threat to mining safety and underground excavation, especially in China, resulting in massive life-wealth loss and even compulsive closed-down of some coal mines. To investigate the mechanism of rockbursts that occur under a state of static forces, a stress model with sidewall as prototype was developed and verified by a group of laboratory experiments and numerical simulations. In this model, roadway sidewall was simplified as a square plate with axial compression and end (horizontal) restraints. The stress field was solved via the Airy stress function. To track the "closeness degree" of the stress state approaching the yield limit, an unbalanced force F was defined based on the Mohr-Coulomb yield criterion. The distribution of the unbalanced force in the plane model indicated that only the friction angle above a critical value could cause the first failure on the coal in the deeper of the sidewall, inducing the occurrence of rockbursts. The laboratory tests reproduced the rockburst process, which was similar to the prediction from the theoretical model, numerical simulation and some disaster scenes.

다결정 초전도체 ${SmBa_2}{Cu_3}{O_x}$의 자기 이력곡선 (Magnetic hysteresis loops of the polycrystalline superconductor ${SmBa_2}{Cu_3}{O_x}$)

  • 이준호;정미숙;이부영;김건철;김영철;정대영
    • Progress in Superconductivity
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    • 제6권1호
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    • pp.84-88
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    • 2004
  • The polycrystalline superconductor $SmBa_2$$Cu_3$$O_{x}$ is fabricated, and intergranular magnetic properties are investigated using the critical state model, from which some useful parameters such as the critical current density and the intergranular volume fraction are obtained. The curve fitting for M-H hysteresis loop shows that the intergranular critical current density of $SmBa_2$$Cu_3$$O_{x}$ / decreases in the form of ($1-T/T_{c}$ )$^{1.5}$ . The intergranular volume fraction is influenced by granular morphology. From SEM image, the grains of $SmBa_2$$Cu_3$$O_{x}$ are found to be randomly shaped. This mean:; that the intergranular volume fraction of $SmBa_2$$Cu_3$$O_{x}$ / should be smaller than those of superconductors, of which grains are plate-shaped such as Tl-based superconductor.

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Numerical investigation of the critical heat flux in a 5 × 5 rod bundle with multi-grid

  • Liu, Wei;Shang, Zemin;Yang, Shihao;Yang, Lixin;Tian, Zihao;Liu, Yu;Chen, Xi;Peng, Qian
    • Nuclear Engineering and Technology
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    • 제54권5호
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    • pp.1914-1928
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    • 2022
  • To improve the heat transfer efficiency of the reactor fuel assembly, it is necessary to accurately calculate the two-phase flow boiling characteristics and the critical heat flux (CHF) in the fuel assembly. In this paper, a Eulerian two-fluid model combined with the extended wall boiling model was used to numerically simulate the 5 × 5 fuel rod bundle with spacer grids (four sets of mixing vane grids and four sets of simple support grids without mixing vanes). We calculated and analyzed 11 experimental conditions under different pressure, inlet temperature, and mass flux. After comparing the CHF and the location of departure from the nucleate boiling obtained by the numerical simulation with the experimental results, we confirmed the reliability of computational fluid dynamic analysis for the prediction of the CHF of the rod bundle and the boiling characteristics of the two-phase flow. Subsequently, we analyzed the influence of the spacer grid and mixing vanes on the void fraction, liquid temperature, and secondary flow distribution. The research in this article provides theoretical support for the design of fuel assemblies.

과도에너지법에 의한 전력계통의 과도안정도 해석에 관한 연구 (Transient Stability Analysis of Power System by Transient Energy Method)

  • 김준현;설용태
    • 대한전기학회논문지
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    • 제32권2호
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    • pp.59-64
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    • 1983
  • This paper deals with the transient energy method of transient stability analysis of multi-machine power system by improving the transfer conductance, the kinetic energy and the critical transient energy. The tranfer conductance is considered more correctly, the generators of system are seperated to two states (critical and the rest state)and the correction term of critical transient energy (to reference point) is added. This analysis is performed by digital computer simulation and the application of this method to two model systems has shown its superiority to other available methods.

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MULTI-HARMONIC MODELS FOR BUBBLE EVOLUTION IN THE RAYLEIGH-TAYLOR INSTABILITY

  • Choi, Sujin;Sohn, Sung-Ik
    • 대한수학회지
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    • 제54권2호
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    • pp.663-673
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    • 2017
  • We consider the multi-harmonic model for the bubble evolution in the Rayleigh-Taylor instability in two and three dimensions. We extend the multi-harmonic model in two dimensions to a high-order and present a new class of steady-state solutions of the bubble motion. The growth rate of the bubble is expressed by a continuous family of two free parameters. The critical point in the family of solutions is identified as a saddle point and is chosen as the physically significant solution. We also present the multi-harmonic model in the cylindrical geometry and find the steady-state solution of the axisymmetric bubble. Validity and limitation of the model are also discussed.

고온초전도체 $Y_1Ba_2Cu_3O_{7-y}$의 자기이방성 (Magnetic Anisotropy in High $T_c\;Y_1Ba_2Cu_3O_{7-y}$ Superconductor)

  • 김문석;유성초;임우영;백종성
    • 한국자기학회지
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    • 제2권3호
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    • pp.228-232
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    • 1992
  • 고온초전도체 $Y_1Ba_2Cu_3O_{7-y}$의 grain을 높은 자기장에서 정렬시켜 여러가지 자기적 특성을 조사하였다. Grain이 정렬된 초전도체는 단결정과 같이 Cu-O layer에 수직, 수평 방향에 대해 자기이방성을 가진다. 2~77 K의 온도영역에서 측정한 lower critical field$(H_{c1})$은 온도가 증가하면서 선형적으로 감소하였는데, Cu-O layer에 대하여 외부 자기장이 수직인 경우가 더욱 급격히 감소하였다. 온도변화에 따른 자율화$(4{\pi}\;X)$의 측정으로부터 극저온의 자화율이 -1에 가까운 값을 가진다는 것을 알 수 있었다. 또한 이 자화 곡선을 London의 공식과 two-fluid model을 이용해 최소자승법으로 fitting하여 절대 영도에서 침투깊이$({\lambda}_0)$를 구하였다. 또한 2 K에서 외부 자기장에 따른 자화곡선을 측정하였으며, Bean의 critical state model을 이용한 임계전류밀도$(J_c)$의 계산으로부터 grain내부는 단결정 수준의 높은 $(J_c)$를 가지고 있음을 알 수 있었다.

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과압밀상태 및 반복하중을 받는 점토지반에 대한 구성모델 (Constitutive Equation for Clay in Overconsolidation State and Under Cyclic Loading)

  • 이승래;김주용
    • 한국지반공학회지:지반
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    • 제10권1호
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    • pp.7-18
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    • 1994
  • 본 연구에서는 단조하중과 반복하중에 대한 점토지반의 거동을 표현할 수 있는 새로운 구성모델을 제안하였다. 제안된 모델은 과압밀상태에서의 응력-변형률 관계를 쌍곡선식으로 가정하고 한계상태이론과 결합시켜 비배수 응력경로를 예측한다. 에너지분산식을 이용하여 개발된 이 구성모델은 단조하중 작용시에 미약한 과압밀상태 및 과다한 과압밀상태의 점성토거동을 표현할 수 있다. 또한 반복하중하에서의 거동을 나타내기 위하여 단조하중에 대하여 개발된 구성모델에 비배수 경로간격비 이동함수를 도입하였다. 이를 위하여 한개의 추가적인 모델계수가 필요하며 그 값은 합리적 방법으로 실험결과로부터 산정될 수 있다. 본 구성모델은 비교적 쉽고 정확하게 반복하중을 받는 점성토지반의 비배수 거동에 대한 실험결과를 예측한다.

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유동 및 풀비등에 있어서 한계열플럭스 상태하의 천이기구 (Transition mechanism during the critical heat flux condition in flow and pool boiling)

  • 김경근;김명환;권형정;김종헌;최순호
    • Journal of Advanced Marine Engineering and Technology
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    • 제13권4호
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    • pp.40-53
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    • 1989
  • Boiling heat transfer phenomena is widely applied to BWR and electrical heating system because of its high heat transfer coefficient. In these systems, steady state heat transfer is dependent on nucleate boiling. When the heat generating rate is sharply increased or the cooling capacity of coolant is sharply decreased, sharp wall temperature rise is occurred under the critical heat flux(CHF) condition. This paper presents the simple wall temperature fluctuation model of transition mechanism in the repeating process of overheating and quenching, when coalescent bubble passes relatively slowly on the wall and simultaneously the transition from nucleate boiling to film boiling is carried at especially onset of the CHF state. The values calculated by the present model are resulted comparatively good with the measured.

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Program development and preliminary CHF characteristics analysis for natural circulation loop under moving condition

  • Gui, Minyang;Tian, Wenxi;Wu, Di;Chen, Ronghua;Su, G.H.;Qiu, Suizheng
    • Nuclear Engineering and Technology
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    • 제53권2호
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    • pp.446-454
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    • 2021
  • Critical heat flux (CHF) has traditionally been evaluated using look-up tables or empirical correlations for nuclear power plants. However, under complex moving condition, it is necessary to reconsider the CHF characteristics since the conventional CHF prediction methods would no longer be applicable. In this paper, the additional forces caused by motions have been added to the annular film dryout (AFD) mechanistic model to investigate the effect of moving condition on CHF. Moreover, a theoretical model of the natural circulation loop with additional forces is established to reflect the natural circulation characteristics of the loop system. By coupling the system loop with the AFD mechanistic model, a CHF prediction program called NACOM for natural circulation loop under moving condition is developed. The effects of three operating conditions, namely stationary, inclination and rolling, on the CHF of the loop are then analyzed. It can be clearly seen that the moving condition has an adverse effect on the CHF in the natural circulation system. For the calculation parameters in this paper, the CHF can be reduced by 25% compared with the static value, which indicates that it is important to consider the effects of moving condition to retain adequate safety margin in subsequent thermal-hydraulic designs.