• Title/Summary/Keyword: empirical particle velocity equation

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Experimental Observation of the Settling Velocity of Coarse Particles and Comparative Analysis (조립입자 침강속도에 대한 실험적 관찰 및 비교분석)

  • Son, Moorak;Jang, Byungsik
    • Journal of the Korean GEO-environmental Society
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    • v.16 no.10
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    • pp.33-38
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    • 2015
  • This study conducted experimental observations of the settling velocity of a coarse particle in water varying material type and particle size and compared the results with preexisting empirical equations. Three types of materials, which are polyacetal, glass and steel, were used in this study and the diameter of particle ranged from 1 mm to 20 mm. Experiment results showed that the settling velocity of coarse particle had a significant difference from Stokes equation which is known applicable for a fine particle smaller than $50{\mu}m$. In addition, the observed particle velocity showed a significant difference when compared with other empirical equations, which was proposed for estimating the settling velocity of a particle regardless of particle size, depending on the material type and particle size. The results from experimental observations indicated that the settling velocity of a coarse particle was relatively in smaller difference to other empirical equations for the particle size smaller than 3 mm, but as the size increased the difference in the settling velocity also increased. This study clearly showed that the settling velocity of a coarse particle velocity can be significantly different depending on particle size and density and the empirical equations may not reliably estimate the settling velocity of a coarse particle so that they should not be used as it is and a verification of them is necessarily before any use. The study results would provide a useful information for a better understanding of settling velocity of a particle in water.

Variation of Cone Crack Shape in Ceramic Materials According to Spherical Impact Velocity (입자충격속도에 따른 세라믹재료의 콘크랙 형상 변화)

  • O, Sang-Yeop;Sin, Hyeong-Seop;Seo, Chang-Min
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.2
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    • pp.380-386
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    • 2002
  • Damage behaviors induced in silicon carbide by an impact of particle having different material and size were investigated. Especially, the influence of the impact velocity of particle on the cone crack shape developed was mainly discussed. The damage induced by spherical impact was different depending on the material and size of particles. Ring cracks on the surface of specimen were multiplied by increasing the impact velocity of particle. The steel particle impact produced larger ring cracks than that of SiC particle. In the case of high velocity impact of SiC particle, radial cracks were produced due to the inelastic deformation at the impact site. In the case of the larger particle impact, the damage morphology developed was similar to the case of smaller particle one, but a percussion cone was farmed from the back surface of specimen when the impact velocity exceeded a critical value. The zenithal angle of cone cracks developed into SiC material decreased monotonically with increasing of the particle impact velocity. The size and material of particle influenced more or less on the extent of cone crack shape. An empirical equation, $\theta$= $\theta$$\sub$st/, v$\sub$p/(90-$\theta$$\sub$st/)/500 R$\^$0.3/($\rho$$_1$/$\rho$$_2$)$\^$$\frac{1}{2}$/, was obtained as a function of impact velocity of the particle, based on the quasi-static zenithal angle of cone crack. It is expected that the empirical equation will be helpful to the computational simulation of residual strength in ceramic components damaged by the particle impact.

Variation of Cone Crack Shape and Impact Damage According to Impact Velocity in Ceramic Materials (세라믹에서 충격속도에 따른 충격손상 및 콘크랙 형상의 변화)

  • Oh, Sang-Yeob;Shin, Hyung-Seop;Suh, Chang-Min
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.383-388
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    • 2001
  • Effects of particle property variation of cone crack shape according to impact velocity in silicon carbide materials were investigated. The damage induced by spherical impact having different material and size was different according to materials. The size of ring cracks induced on the surface of specimen increased with increase of impact velocity within elastic contact conditions. The impact of steel particle produced larger ring cracks than that of SiC particle. In case of high impact velocity, the impact of SiC particle produced radial cracks by the elastic-plastic deformation at impact regions. Also percussion cone was formed from the back surface of specimen when particle size become large and its impact velocity exceeded a critical value. Increasing impact velocity, zenithal angle of cone cracks in SiC material was linearly decreasing not effect of impact particle size. An empirical equation, $\theta=\theta_{st}-\upsilon_p(180-\theta_{st})(\rho_p/\rho_s)^{1/2}/415$, was obtained from the test data as a function of quasi-static zenithal angle of cone crack($\theta_{st}$), the density of impact particle(${\rho}_p$) and specimen(${\rho}_s$). Applying this equation to the another materials, the variation of zenithal angle of cone crack could be predicted from the particle impact velocity.

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Decoupling Effect on the Level of Blasting Vibration (발파진동의 크기에 마치는 디커플링효과의 연구)

  • Kim, Wang-Soo;Lim, Han-Uk
    • Journal of Industrial Technology
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    • v.20 no.A
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    • pp.269-278
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    • 2000
  • The pressure-time profile of the explosion gases can controlled for the use of cartridge explosive with two techniques known as Decoupling and spacing of the charges. Decoupling consists of a space between the explosive column and wall of the blast hole. Four different decoupling index 1.4, 1.8, 2.34, 3.0 are selected in this field study. The level of ground vibrations with each decoupling index was measured and the empirical particle velocity equation from these data was obtained. The condition of new cracks at blast hole are also examined. As the decoupling index is increased, the level of the blast vibration is decreased. But the cracks in rock masses are efficiently formed to remove the broken rock. The vibration constant associated with test sites is given as $K=1564.5(D.L)^{-1.3233}$ in terms of D.I.(decoupling index).

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Numerical Study on the Prediction of the Depth of Improvement and Vibration Effect in Dynamic Compaction Method (동다짐 공법의 개량심도 및 진동영향 예측을 위한 수치해석적 연구)

  • Lee, Jong-Hwi;Lim, Dae-Sung;Chun, Byung-Sik
    • Journal of the Korean Geotechnical Society
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    • v.26 no.8
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    • pp.59-66
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    • 2010
  • In this study, an applicability by using the FEM was investigated for the prediction of both the depth of improvement and the vibration effect when dynamic compaction method is applied. The region was modelled by the field conditions applying dynamic compaction method and the rigid body force was applied to the dynamic load model. Predicted depth of improvement calculated by the vertical peak particle acceleration was compared and analyzed with an existing empirical equation, and the effect of groundwave by deducing the peak particle velocity from vibration sources was compared and analyzed with the results of another existing empirical equation. The results showed that the prediction of the depth of improvement has similar tendency to practice, and the vibration effect has some differences in a particular section from existing equation, but it could predict the safety distance to some degree. The analyzed results are expected to be basic data for the development of reliability of dynamic compaction design with existing empirical method.

A Study on the Related Equation of the Blast Vibration Velocity and the Vibration Level (발파진동속도와 진동레벨과의 관계식 연구)

  • Kim, Il-Jung;Ki, Kyoung-Chul;Cho, Young-Dong
    • Explosives and Blasting
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    • v.27 no.1
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    • pp.79-87
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    • 2009
  • The regression analysis of the ground vibration data (particle velocity and vibration level) was carried out to find an empirical relation between the vibration velocity (PVS, PPV, $V_V$) and the vibration level. The regression results revealed that the correlation of the blast vibration velocity and vibration level was quite good. It seems that the empirical relation obtained in this research will be applied to evaluating and managing the various environmental vibrations.

Careful Blasting to Reduce the Level of Ground Vibration in Open Excavation (노천 굴착에서 발파 진동의 크기를 감소시키기 위한 정밀발파)

  • Huh, Ginn
    • Geotechnical Engineering
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    • v.6 no.3
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    • pp.5-12
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    • 1990
  • In this paper, ground vibration and other properties measurements were conducted to deter mine empirical equation based on careful test blasting with crawler drill(diameter 70-75mm). The empirical euqations for ground vibration are obtained as follows where V is peak particle velocity in cm 1 sec, D is distance in m and W is maximum charge weight per delay in kg

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Measurements of Velocity Profiles Inside a Partially Filled Pipeline Using PIV (PIV를 이용한 비만관내 유속 분포 측정)

  • Choi, Jung-Geun;Sung, Jae-Yong;Lee, Moung-Ho
    • Proceedings of the SAREK Conference
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    • 2006.06a
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    • pp.773-778
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    • 2006
  • Velocity profiles inside a partially filled pipline have been investigated experimentally. To measure the velocity fields, a particle image velocimetry (PIV), which is a recent quantitative visualization technique, is applied. The velocity profile inside a circular pipe is well known, but if the pipe is partially filled, the problem is entirely different in the sense that the velocity distribution is significantly affected by the slope of pipe and filled water level, and so on. In order to calculate exact flow rate in the open channel or partially filled pipeline, three-dimensional velocity distributions at a given cross-sectional area are measured and compared the flow rates with the previously known empirical formula of Manning equation. The results show that the velocity profiles at center plane is considerably different from each other when the slope and water level change. Thus, The three-dimensional velocity profile can be the most plausible estimate for the exact flow rate.

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Deflective Behavior of Charged Particles in a Two-Stage Electrostatic Precipitator

  • Lim, Hun-Chan
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.25 no.7
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    • pp.83-91
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    • 2011
  • Even if smoke, fumes, mist or dust particles are removed by electrostatic precipitators (ESPs), the occurrence of ozone, which is harmful to human body, has to be severely restricted in the indoor environments of hospitals, offices, and workshops. Therefore, the two-stage ESP generating positive corona at the ionizer is typically used because it creates less ozone than the two-stage ESP generating negative corona at the ionizer. In order to predict the collection performance and the optimal design of the two-stage ESP applied to positive high-voltage, particle concentration is experimentally investigated in this paper. In addition, particle motion within the collector section is also numerically analyzed. The positive corona discharge current of the ionizer is found to be affected by the applied voltage in the collector section but less so by the particle concentration. Particle concentration shows a minimum near the high voltage electrode of the collector section. The minimum value of the collection efficiency is almost proportional to gas velocity. When the collector length decreases, the minimum value of the collection efficiency increases. Charged particles entering the collector region are linearly deflected towards the grounded plate by an electric field. From the above experimental and numerical results, two empirical equations on the concentration ratio and the collection efficiency are derived, and are in good agreement with the experimental data.

Decoupling effects on the level of blasting vibration (발파진동의 크기에 미피는 기커플링 효과의 연구(화약))

  • 김당수
    • Explosives and Blasting
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    • v.15 no.3
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    • pp.20-32
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    • 1997
  • The pressure-time profile of the explosion gases can be controlled fot the use of cartridge explosives with two techniques Known as Decoupling and Spacing the charges. Decoupling consists in leaving and empty space between the explosive column and wall of the blast hole. Four different decoupling index, 1.4, 1.8, 2.34, 3.0 are selected in this field study. The level of ground vibrations with each decoupling index are measured and the empirical particle vibrations with each decoupling index are measured and the empirical particle velocity equation from these data was obtained. The condition of new cracks at blast hole are also examined. As the decoupling index in increased, the level of the blast vibration is decreased,. But the cracks in rock masses are efficiently formed to remove the broken rock. The vibration constant associated with a given site $K=1564.5(D.I)^{-1.3233}$ in terms of D.I(decopling index).

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