• Title/Summary/Keyword: kinetic equation

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Curing Kinetics of the No-Flow Underfill Encapsulant

  • Jung, Hye-Wook;Han, Sang-Gyun;Kim, Min-Young;Kim, Won-Ho
    • Proceedings of the International Microelectronics And Packaging Society Conference
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    • 2001.11a
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    • pp.134-137
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    • 2001
  • The cure kinetics of a cycloalipatic epoxy / anhydride / Co(II) system for a no-flow underfill encapsulant, has been studied by using a differential scanning calorimetry(DSC) under isothermal and dynamic conditions over the temperature range of $160^{\circ}C ~220^{\circ}C$. The kinetic analysis was carried out by fitting dynamic/isothermal heating experimental data to the kinetic expressions to determine the reaction parameters, such as order of reaction and reaction constants. Diffusion-controlled reaction has been observed as the cure conversion increases and successfully analyzed by incorporating the diffusion control term into the rate equation. The prediction of reaction rates by the model equation corresponded well to experimental data at all temperature.

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A Simplified Reynolds Stress Model with Turbulent Kinetic Energy-Length Scale (난류운동에너지-길이 Scale을 사용하는 단순화된 Reynolds 응력모형)

  • Huh Jae-Yeong
    • Proceedings of the Korea Water Resources Association Conference
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    • 2005.05b
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    • pp.404-408
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    • 2005
  • The Reynolds strss equation with turbulent energy-length scales was simplified in the nearly homogeneous turbulent equilibrium flow and a modified Reynolds stress model was proposed. Tn the model proposed in the present study, Reynolds stresses can be expressed in the form of algebraic equation, so that the turbulent stresses and related quantities are calculated through relatively simple procedures. The model predicted well the turbulent shear stresses of homogeneous flow in local equilibrium state obtained from experimental results published earlier Constants used In the model was determined universally and its validity was discussed briefly.

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Kinetic Theory Analysis for Thin-Film Bearings (기체분자운동론을 이용한 박막 베어링 해석)

  • Chung Chan Hong
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2004.11a
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    • pp.162-170
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    • 2004
  • A kinetic theory analysis is used to study the ultra-thin gas flow field in gas slider hearings. The Boltzmann equation simplified by a collision model is solved by means of a finite difference approximation with the discrete ordinate method. Calculations are made for the flow field inside stepped and straight slider bearings. The results are compared well with those from the DSMC method. Special attention has been paid to the effect of the pressure build-up in front of a hearing, which has never been assessed before. It has been shown that the pressure build-up at the inlet is about $4.5\%$ of the operating pressure and the resulting load capacity is about $25\%$ higher for the case considered in the present study.

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Application of the Modified Reactive SPH Method for Simulating Explosions

  • Sirotkin, Fedir V.;Yoh, Jai-Ick
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2011.11a
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    • pp.922-925
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    • 2011
  • Smoothed Particle Hydrodynamics (SPH) is a Lagrangian method widely used for the modeling fluid flows. Simulations of explosions require, besides the hydrodynamic equations, a realistic equation of state, an energy source term, and a set of chemical kinetic equations to follow the composition changes of the gas during the explosion. The performance of the hydrodynamic equations is investigated in the framework of the Sedov-Taylor blast-wave. The implementation of chemical kinetic equations and equation of state is studied with 1D detonation of TNT slab. Our results are compared to those from analytical and experimental studies.

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Oxidation Study on the Fabrication of Fe-36Ni Oxide Powder from Its Scrap

  • Yun, Jung Yeul;Park, Man Ho;Yang, Sangsun;Lee, Dong-Won;Wang, Jei-Pil
    • Journal of Powder Materials
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    • v.20 no.1
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    • pp.48-52
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    • 2013
  • A study of oxidation kinetic of Fe-36Ni alloy has been investigated using thermogravimetric apparatus (TGA) in an attempt to define the basic mechanism over a range of temperature of 400 to $1000^{\circ}C$ and finally to fabricate its powder. The oxidation rate was increased with increasing temperature and oxidation behavior of the alloy followed a parabolic rate law at elevated temperature. Temperature dependence of the reaction rate was determined with Arrhenius-type equation and activation energy was calculated to be 106.49 kJ/mol. Based on the kinetic data and micro-structure examination, oxidation mechanism was revealed that iron ions and electrons might migrate outward along grain boundaries and oxygen anion diffused inward through a spinel structure, $(Ni,Fe)_3O_4$.

Analysis of the Solvolysis of Anthraquinone-2-Carbonyl Chloride in Various Mixed Solvents

  • Koh, Han Joong;Kang, Suk Jin
    • Journal of the Korean Chemical Society
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    • v.62 no.4
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    • pp.265-268
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    • 2018
  • The solvolyses of anthraquinone-2-carbonyl chloride (1) were studied kinetically in 27 pure and various mixed solvents. The analysis using the extended Grunwald-Winstein equation in the solvolyses of anthraquinone-2-carbonyl chloride (1) obtained the l value of $2.11{\pm}0.11$, the m value of $0.54{\pm}0.06$, and the correlation coefficient of 0.955. The solvolysis reaction of 1 might proceed via an associative $S_N2$ mechanism enhancing bond making than bond breaking in the transition state (TS). This interpretation is further supported by a relatively large solvent kinetic isotope effect (SKIE, 2.27).

A Study on Micro-step of 2-phase Hybrid Type Linear Stepping Motor (2상 하이브리드형 리니어 스텝핑 전동기의 미세스텝에 관한 연구)

  • Oh, Hong-Seok;Kim, Dong-Hui;Lee, Sang-Ho
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.49 no.5
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    • pp.358-363
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    • 2000
  • In this paper, a voltage equations, a thrust force equations and kinetic equation are derived from the basic structure of a 2-phase hybrid type linear stepping motor(HLSM). And a micro-stepping method in order to eliminate effectively the resonant phenomena and to increase the positional resolution of the HLSM was proposed. The proposed micro-stepping method can divide one step into the maximum 128 micro-steps under simple control system. The dynamic characteristics of proposed micro-stepping method were analyzed by the ACSL(Advanced Continuous Simulation Language) with the voltage equations, the thrust force equations and the kinetic equation, and were measured by laser experimental system. As the result, the justice of theory was confirmed, and the resonant phenomena, the positional resolution and dynamic thrust were improved by the proposed micro-stepping method.

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Solvolysis of (1S)-(+)-Menthyl Chloroformate in Various Mixed Solvents

  • Koh, Han Joong;Kang, Suk Jin
    • Journal of the Korean Chemical Society
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    • v.65 no.5
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    • pp.309-312
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    • 2021
  • The solvolysis of (1s)-(+)-menthyl chloroformate (1) were studied kinetically in 28 pure and various mixed solvents. The analysis using the extended Grunwald-Winstein equation in the solvolysis of 1 obtained the l value of 2.46 ± 0.18, the m value of 0.91 ± 0.07, and the correlation coefficient of 0.950. The solvolysis of 1 might proceed via an associative SN2 mechanism enhancing bond making than bond breaking in the transition state (TS). The value of l/m is 2.7 within the ranges of value found in associative SN2 reaction. This interpretation is further supported by a relatively large solvent kinetic isotope effect (SKIE, 2.16).

Mechanistic Studies of the Solvolyses of Cyclohexanesulfonyl Chloride

  • Kang, Suk Jin;Koh, Han Joong
    • Journal of the Korean Chemical Society
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    • v.63 no.4
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    • pp.233-236
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    • 2019
  • In this study, the solvolysis of cyclohexanesulfonyl chloride (1) was studied by kinetics in ethanol-water, methanol-water, acetone-water, and 2,2,2-trifluoroethanol (TFE)-water binary solvent systems. The rate constants were applied to the extended Grunwald-Winstein equation, to obtain the values of m = 0.41 and l = 0.81. These values suggested $S_N2$ mechanism in which bond formation is more important than bond breaking in the transition state (TS). Relatively small activation enthalpy values (11.6 to $14.8kcal{\cdot}mol^{-1}$), the large negative activation entropy values (-29.7 to $-38.7cal{\cdot}mol^{-1}{\cdot}K^{-1}$) and the solvent kinetic isotope effects (SKIE, 2.29, 2.30), the solvolyses of the cyclohexanesulfonyl chloride (1) proceeds via the $S_N2$ mechanism.