• Title/Summary/Keyword: Critical Angle

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Stall Critical Flow Angle in a Vaneless Diffuser of a Centrifugal Compressor (베인없는 디퓨저에서의 스톨 임계 유동각에 관한 연구)

  • Kang Jeong-Seek;Kang Shin-Hyoung
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.611-614
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    • 2002
  • Rotating stall in vaneless diffusers of centrifugal compressor occurs in the diffuser wall due to flow separation at large inlet flow angle. For this reason, the critical inlet flow angles are suggested by several researchers. Beyond this critical angle, flow separates in the diffuser, and develops into rotating stall. This paper studied this critical flow angle. Rotating stall is measured through eight fast-response pressure transducers which are equally spaced around the circumference at the inlet and exit of a vaneless diffuser. Experiments are done from 20000rpm to 60000rpm for the diffuser stall. Two-cell structure which rotates at $6{\~}l0{\%}$ of impeller speed is fully developed at $20000{\~}40000rpm$, and three-cell structure which rotates at $7{\~}9{\%}$ of impeller speed is fully developed at $50000{\~}60000rpm$. This paper shows that the critical inlet flow angle is not constant but related with tip speed of impeller. As tip speed increases, so does the critical inlet flow angle.

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Location determining method of critical sliding surface of fillings in a karst cave of tunnel

  • Lin, P.;Li, S.C.;Xu, Z.H.;Huang, X.;Pang, D.D.;Wang, X.T.;Wang, J.
    • Geomechanics and Engineering
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    • v.16 no.4
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    • pp.415-421
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    • 2018
  • A location determining method is proposed for critical sliding surface in the stability analysis of the filling materials in karst caves. First, a preliminary location of the sliding surface is determined based on simulation results which includes displacement contour and plastic zone. The sliding surface will locate on the bottom contact interface when the friction angle is relative small. However, a weakened contact interface always becomes the critical sliding surface no matter what the friction angle is. Then when the friction angle becomes larger, the critical sliding surface inside fillings can be determined by a parabola, the coefficient of which increases linearly with the friction angle under the same cohesion. Finally, the critical sliding surface approximately remains unchanged with friction angle. The influence of cohesion is similar to that of friction angle. Although affected by shape, size or position of the karst cave, the critical sliding surface mainly depends on both friction angle and cohesion. Thus, this method is always useful in determining the critical sliding surface.

The Influence of the Diffuser Divergence Angle on the Critical Pressure of a Critical Nozzle (디퓨저 확대각이 임계노즐의 임계압력비에 미치는 영향)

  • Kim Jae Hyung;Kim Heuy Dong;Park Kyung Am
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.131-134
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    • 2002
  • Compressible gas flow through a convergent-divergent nozzle is choked at the nozzle throat under a certain critical pressure ratio, and then being no longer dependent on the pressure change in the downstream flow field. In practical, the flow field at the divergent part of the critical nozzle can affect the effective critical pressure ratio. In order to investigate details of flow field through a critical nozzle, the present study solves the axisymmetric, compressible, Wavier-Stokes equations. The diameter of the nozzle throat is D=8.26mm and the half angle of the diffuser is changed between $2^{\circ}\;and\;10^{\circ}$ Computational results are compared with the previous experimental ones. The results obtained show that the divergence angle is significantly influences the critical pressure ratio and the present computations predict the experimented discharge coefficient and critical pressure ratio with a good accuracy. It is also found that a nozzle with the half angle of $4^{\circ}$ nearly predicts the theoretical critical pressure ratio.

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Critical current characteristic of various 2G HTS multi-stacked tapes depending on the low external magnetic field

  • Kim, J.;Lee, W.S.;Jin, H.;Ko, T.K.
    • Progress in Superconductivity and Cryogenics
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    • v.16 no.1
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    • pp.27-31
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    • 2014
  • 2G HTS tapes are widely used for various electric machines. In addition, stacked or parallel connected HTS tapes are essentially used to raise transport current level for large capacity electric machines. Therefore, critical current characteristic of stacked tapes need to be studied. Recently developed 2G HTS tapes are fabricated with various defects doping so that tapes possess pinning center to improve the critical current characteristic. During this process, the critical current is determined minimum value in not perpendicular magnetic field but a specific magnetic field angle according to the reported research. However, the effects of magnetic field angle to critical current of multi-stacked 2G HTS tapes have not been examined. In this paper, field coil which is a race-track coil wound by using an HTS tape with iron-core was fabricated to apply angle adjustable magnetic field to the 2G HTS tape samples. We measured critical current of single and multi-stacked two tapes that have different characteristic depending on various magnetic field angle and magnitude in liquid nitrogen environment. Furthermore, results of single and multi-stacked tapes were compared and analyzed.

Measurement of Refractive Index of Solid Medium by Critical Angle Method When Air Gap is Present

  • Lim, Hwan-Hong;Kwon, Moon-Soo;Choi, Hee-Joo;Kim, Byoung-Joo;Cha, Myoung-Sik
    • Journal of the Optical Society of Korea
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    • v.12 no.3
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    • pp.210-214
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    • 2008
  • A critical angle method was used to measure the index of refraction of a solid medium when an air gap between the prism and the medium is present. The gap effect was analyzed both numerically and experimentally. Since the total internal reflection is severely disturbed by the large gap, determination of the critical angle and the resulting refractive index becomes ambiguous and inaccurate. By using an index matching fluid, we could determine the index of refraction with an uncertainty of ${\pm}2{\times}1^{-3}$ even when the gap is as large as 1 ${\mu}m$.

Experimental study on the influence of heating surface inclination angle on heat transfer and CHF performance for pool boiling

  • Wang, Chenglong;Li, Panxiao;Zhang, Dalin;Tian, Wenxi;Qiu, Suizheng;Su, G.H.;Deng, Jian
    • Nuclear Engineering and Technology
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    • v.54 no.1
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    • pp.61-71
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    • 2022
  • Pool boiling heat transfer is widely applied in nuclear engineering fields. The influence of heating surface orientation on the pool boiling heat transfer has received extensive attention. In this study, the heating surface with different roughness was adopted to conduct pool boiling experiments at different inclination angles. Based on the boiling curves and bubble images, the effects of inclination angle on the pool boiling heat transfer and critical heat flux were analyzed. When the inclination angle was bigger than 90°, the bubble size increased with the increase of inclination angle. Both the bubble departure frequency and critical heat flux decreased as the inclination angle increased. The existing theoretical models about pool boiling heat transfer and critical heat flux were compared. From the perspective of bubble agitation model and Hot/Dry spot model, the experimental phenomena could be explained reasonably. The enlargement of bubble not only could enhance the agitation of nearby liquid but also would cause the bubble to stay longer on the heating surface. Consequently, the effect of inclination angle on the pool boiling heat transfer was not conspicuous. With the increase of inclination angle, the rewetting of heating surface became much more difficult. It has negative effect on the critical heat flux. This work provides experimental data basis for heat transfer and CHF performance of pool boiling.

Characteristics of Gold and Silver Bimetallic Surface Plasmon Resonance Chip in Intensity Measurement Mode and Calculation of Refractive Index using Critical Angle (반사광 측정 모드에서 금과 은의 쌍금속 표면 플라즈몬 공명 칩의 특성과 임계각을 이용한 굴절률 계산)

  • Kim, Hyungjin;Lee, Sung-Youp;Kim, Hong Tak;Yang, Ki-Won;Sohn, Young-Soo
    • Journal of Sensor Science and Technology
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    • v.24 no.6
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    • pp.423-428
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    • 2015
  • A bimetallic chip made of gold and silver was investigated in intensity interrogation mode to confirm enhancement of the SPR sensor resolution. Both reflectance curves of the bimetallic chip and the conventional gold chip was acquired and compared. The line width of the reflectance curve of the bimetallic chip was narrower than that of the conventional Au chip, resulting in steeper tangential slope. The reflectance was monitored at the angle related to the steepest tangential slope. The change in reflectance of the bimetallic chip was larger than that of the Au chip. The critical angle was analyzed by differentiating the reflectance with respect to incident angle twice. Acquiring the critical angle regarding to the sample informs the refractive index of the sample. Using various concentration of Bovine Serum Albumin, we confirmed that refractive index was linearly related to variation of reflectance of the bimetallic chip.

A study on the brilliance by critical angle of gem and measurement theory of refractive index using refractometer (보석의 임계각에 따른 휘광성 및 굴절계를 이용한 굴절률 측정 이론에 관한 연구)

  • Moon, So-I;Seok, Jeong-Won
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.21 no.3
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    • pp.105-109
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    • 2011
  • Critical angle of quartz (R.I. ${\fallingdotseq}$ 1.553) and diamond (R.I. = 2.417) are $40.09^{\circ}$ and $24.26^{\circ}$ that calculated by $sin{\theta}=r_2/r_1$ (r = refractive index, $r_1$ > $r_2$). Brilliance of quartz and diamond are 20.33% and 55.07%. The brilliance data are result of study on the incident light internal round brilliant cut quartz and diamond by the critical angle. Cause of bow-tie phenomenon can be studied by application of critical angle theory and light path inside fancy shape brilliant cut. When refractormetry with typical gem refractometer, critical angle of quartz and corundum are $59.1^{\circ}$ and $77.9^{\circ}$.

Analysis of the Critical Path of Underground Gas Pipe According to Interference Behavior (간섭 거동에 따른 지하 가스 배관의 영향선 분석)

  • Kim, Mi-Seung;Won, Jong-Hwa;Kim, Moon-Kyum;Kim, Tae-Min;Choi, Sun-Young
    • Journal of the Korean Institute of Gas
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    • v.13 no.2
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    • pp.7-13
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    • 2009
  • In order to make the critical path analysis of gas pipeline located under rigid pipes for interference behavior, FE analysis is performed considering real buried conditions of a drain and a gas pipe according to intersection angle of two pipes. A drain pipe and gas pipe have cover depth respectively 1.0m and 3.39m and this study considers a interference angle in the range of $0{\sim}90^{\circ}$. In this paper, the critical path is analyzed from the result of Ring Deflection and bending stress according to intersection angle. In the event intersection angle of two pipes equal to the critical path of lower pipe. The analysis results show that the critical path of lower gas pipe according to interference behavior has relation to intersection angle of two pipes.

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Critical State of Crushable Jeju Beach Sand (파쇄성이 큰 제주해사의 한계상태 특성)

  • Lee, Moon Joo;Bae, Kyung Doo;An, Sung Mo;Lee, Woo Jin
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.2C
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    • pp.133-140
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    • 2010
  • A series of triaxial test was performed in order to determine critical state parameters of calcareous Jeju sand, which comprises angular shape particles with many pores in the surface. It is observed that Jeju sand mainly shows the contractive behavior during triaxial shear due to high extreme void ratios and large compressibility. The peak friction angle of Jeju sand decreases slightly with increasing mean effective stress due to the particle crushing of carbonate materials. However, the peak friction angle of Jeju sand is higher than that of other silica sands because of the more angular particle shape. The critical state friction angle of Jeju sand gradually decreases when the mean effective stress at a critical state increases. Whereas, there is not a clear influence of void ratio on the critical state friction angle. Critical state parameters of Jeju sand are similar to those of calcareous sands, but significantly larger than those of common sands.