• Title/Summary/Keyword: kinetic equation

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A Study on the Generation of Initial Turbulent Velocity Field with Non-zero Velocity Derivative Skewness (속도미분비대칭도를 고려한 초기난류 속도장 생성방법 연구)

  • Koh Bum-Yong;Park Seung-O
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.819-822
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    • 2002
  • It is necessary for the numerical simulation of 3-dimensional incompressible isotropic decaying turbulence to construct 3-dimensional initial velocity field which resembles the fully developed turbulence. Although the previous velocity field generation method proposed by Rogallo(1981) satisfies continuity equation and 3-dimensional energy spectrum, it has limitation, as indicated in his paper, that it does not produce the higher velocity moments(e. g. velocity derivative skewness) characteristic of real turbulence. In this study, a new velocity field generation method which is able to control velocity derivative skewness of initial velocity field is proposed. Brief descriptions of the new method and a few parameters which is used to control velocity derivative skewness are given. A large eddy simulation(LES) of isotropic decaying turbulence using dynamic subgrid-scale model is carried out to evaluate the performance of the initial velocity field generated by the new method. It was shown that the resolved turbulent kinetic energy decay curve and the resolved enstrophy decay curve from the initial field of new method were more realistic than those from the initial field of Rogallo's method. It was found that the dynamic model coefficient from the former was initially half the stationary value and experienced relatively short transition period, though that from the latter was initially zero and experienced relatively longer transition period.

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Alcohol Fermentation by Zymomonas mobilis Part. 1. Effects of environmental conditions on the growth kinetics of Zymomonas mobilis (Zymomonas mobilis에 의한 알코올 발효 I. 발효 환경이 생육에 미치는 영향)

  • Pack, MooYoung;Chun, Byong-ik
    • Journal of Industrial Technology
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    • v.3
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    • pp.33-38
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    • 1983
  • The effect of various environmental conditions on the growth kinetics of Zymomonas mobilis were studied and the kinetic parameters were evaluated. The value of ${\mu}m$ was $0.45hr^{-1}$ and Ks was 0.23 g/L. Inhibition of growth at high glucose concentration was found to follow the threshold substrate inhibition. Threshold substrate concentration was 102 g/L and substrate inhibition constant was 196 g/L. The effects of yeast extract concentrations were found to follow the Monod equation. ${\mu}m$ value was $0.45hr^{-1}$ and Ks was 0.3 g/L at 20 g/L of glucose and $0.24hr^{-1}$ and 0.24 g/L respectively at 200 g/L of glucose. The optimum temperature was found to be $35^{\circ}C$ and the activation energy of growth was 7.7 Kcal/mole below $35^{\circ}C$ and -29 Kcal/mole above $35^{\circ}C$.

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Analysis of Secondary Flow Effects on Turbulent Flow in Nuclear Reactor Fuel Rod Bundles (핵연료 집합체 내에서의 이차유동이 난류에 미치는 영향에 대한 해석적 분석)

  • Shon, Jae-Yeong;Park, Goon-Chul
    • Nuclear Engineering and Technology
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    • v.23 no.3
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    • pp.275-284
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    • 1991
  • It is important to predict the main feature of fully developed turbulent secondary flow through infinite triangular arrays of parallel rod bundles. One-equation turbulence model which include anisotropic eddy viscosity model was applied to predict the exact velocity field. For a constant properties, Reynolds equations were solved by the finite element method. Mean axial velocity near the wall is simulated by the law of the wall. The numerical results showed good agreement with avaiable experimental data. The strength of the secondary flow increased with Reynolds number but decreased with rod spacing, P/D (pitch-to-diameter). The secondary flow affects remarkably the distribution of the axial velocity, wall shear stress and turbulent kinetic energy in the closely packed rod array bundles.

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A model for Phase Transformation of Microalloyed Low Carbon Steel Combined with Nb Precipitation Kinetics (Nb 석출 거동을 고려한 저탄소강의 상변태 모델)

  • Kim, D.W.;Cho, H.H.;Park, S.;Kim, S.H.;Kim, M.J.;Lee, K.;Han, H.N.
    • Transactions of Materials Processing
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    • v.26 no.1
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    • pp.48-54
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    • 2017
  • The dissolution and precipitation of Nb, which has been known as strong carbide-forming element, play a key role in controlling phase transformation kinetics of microalloyed steels. In this study, we analyzed both numerically and experimentally the precipitation behavior of Nb-microalloyed steel and its effect on the austenite decomposition during cooling. Nb precipitation in austenite matrix could be predicted by the thermo-kinetic software MatCalc, in which interfacial energy between precipitate and matrix is calculated. The simulated precipitation kinetics fairly well agrees with the experimental observations by TEM. Austenite decomposition, which is strongly affected by Nb precipitation during cooling, was measured by dilatometry and was modeled on the basis of a Johnson-Mehl-Avrami-Kolmorgorov(JMAK) equation. It was confirmed that the dissolved Nb delays the austenite decomposition, whereas, the precipitated Nb accelerates phase transformation during the austenite decomposition.

Anaerobic co-digestion of food waste leachate with microalgae for improvement of methane production (메탄생산 향상을 위한 음폐수와 미세조류의 혐기성 통합소화)

  • Lee, Kwanyong;Chantrasakdakul, Phrompol;Kim, Daegi;Park, Jongjin;Choi, Jang-Seung;Park, Ki Young
    • Journal of Korean Society of Water and Wastewater
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    • v.28 no.1
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    • pp.55-60
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    • 2014
  • Food waste leachate (FWL) is a serious pollutant waste coming from the food waste recycling facilities in Korea. FWL has a high organic matter content and high COD to nitrogen (COD/N) ratio, which can disturb efficient methane production in the anaerobic digestion of FWL. In the present study a microalga, Clorella vulgaris (C.V), was used as co-substrate for the FWL anaerobic digestion in order to supply nutrients, decrease the COD/N ratio and increase its methane yield. Different co-digestion mixtures (COD/N ratios) were studied by using biochemical methane potential test and modified Gompertz equation for kinetic study. Mixed substrate of FWL and C. vulgaris in the co-digestion clearly showed more the biomethane yield than the sole substrates. The maximum methane production, 827.7 mL-$CH_4$/g-VS added, was obtained for COD/N ratio of 24/1, whereas the highest improvement of methane yield was found for COD/N ratio of 15/1.

Thermal Hazard Evaluation on Self-polymerization of MDI

  • Sato, Yoshihiko;Okada, Ken;Akiyoshi, Miyako;Murayama, Satoshi;Matsunaga, Takehiro
    • International Journal of Safety
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    • v.9 no.1
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    • pp.6-11
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    • 2010
  • Thermal analysis, heating test on gram scale and simulation of exothermic behavior based on kinetic analysis has been conducted in order to evaluate thermal hazards of self-polymerization of MDI. The exothermic reactions of MDI are expected to be the polymerization which forms carbodiimide and carbon dioxide, dimerization and trimerization. When MDI is kept in adiabatic condition during 1 week (10080 hours), the simulated result shows runaway reaction can occur in the case that initial temperature was more than $130^{\circ}C$. The relationship between the initial temperature (T, $^{\circ}C$) and TMR is given in a following equation. TMR=$4.493{\times}10^{-7}$ exp ($9.532{\times}10^3$/(T+273.15)) We propose that the relationship gives important criteria of handling temperature of MDl to prevent a runaway reaction.

Study on Accuracy and Validity Tests for Various Prediction Models for Gas and Vapor Respirator Cartridge Service Lives (가스 및 유기용제용 호흡보호구의 정화통에 대한 수명예측방법의 정확도 및 타당성 검증연구)

  • Park, Doo Yong;Park, Ji Young;Yoon, Chung Sik
    • Journal of Korean Society of Occupational and Environmental Hygiene
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    • v.9 no.2
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    • pp.19-31
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    • 1999
  • Most breakthrough tests are conducted at higher concentration levels compared to those in the field of air-purifying respirator applications. For example, typical challenge concentrations for breakthrough tests agains tcarbon tetrachloride are ranged between 250-1000 ppm although applicable concentrations range for air-purifying cartridge is 5-50 ppm for carbon tetrachloride. However, no guarantee has been made that isotherms derived from the experiment at high challenge concentrations could estimate adsorption capacity at the lower concentration range where workers wear usually air-purifying respirators. Three models of adsorption isotherms (Freundlich, Langmuir and Dubinin/Radushkevich(D/R) isotherms) that have been commonly applied for respirator cartridge testing were evaluated. Adsorption capacity at each challenge concentration was calculated from the Reaction Kinetic equation fitted for the breakthrough data. These data were used for derivation of three isotherms. In general, the D/R isotherm has given the best agreement between estimated adsorption capacities and experimentally measured. If the challenge concentration of 100 ppm is included for derivation of models, Freundlich and D/R models could succes sfully produced good estimations for adsorption capacities at 50 ppm level. Estimated adsorption capacities by both models ranged in 94 - 109 % of the experimentally measured. However, Langmuir model gives underes timation in all cases.

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The Evaluation of Diffusivity of Lithium for Coarsening of δ' Precipitate in AI-Li-Cu-Mg-Zr Alloy (Al-Li-Cu-Mg-Zr 합금에 있어서 δ'상 조대화를 위한 Lithium의 확산계수 평가)

  • Chung, D.S.;Kim, E.S.;Cho, H.K.
    • Journal of the Korean Society for Heat Treatment
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    • v.7 no.1
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    • pp.17-24
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    • 1994
  • The evaluation and analysis of diffusivity of lithium for coarsening and coarsening kinetics of ${\delta}^{\prime}$ precipitate in Al-Li-Cu-Mg-Zr alloy aged at $170^{\circ}C$ have been investigated by transmission electron microscopy. With ageing time, ${\delta}^{\prime}$ precipitate coaesened to followed $\bar{\gamma}{\propto}t^{1/3}$ and coarsening kinetics was found to be obeyed to the Lifshitz-Slyozov-Wagner(LSW) theory and diffusivity of lithium for coarsening of ${\delta}^{\prime}$ precipitate in Al-Li-Cu-Mg-Zr alloy was obtained to be $5.85{\times}10^{-17}{\sim}1.53{\times}10^{-16}$ by experimental coarsening rate constant and various coarsening kinetic theory. Diffusivity of lithium measured by using various model but MLSW and Tsumuraya (VI) et al. model in Al-Li-Cu-Mg-Zr alloy is similar to that calculated by the Costas's diffusivity equation. It was, therefore, suggested that additing to the Cu, Mg and Zr element in Al-Li system have no great effect on diiffusivity of lithium for coarsening of ${\delta}^{\prime}$ This suggest that in matrix.

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Characteristics of Pore Development for Activated Carbon Fiber from Polyacrylonitrile(II) -Activation- (PAN계 활성탄소 섬유의 세공발달 특성(II) -활성화-)

  • Park, Jong-Hak;Cho, Byung-Rin
    • Applied Chemistry for Engineering
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    • v.4 no.1
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    • pp.113-124
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    • 1993
  • Thermogravimetric analysis of copolymer of acrylonitrile(95%) and methyl acrylate(5%) have been carried out to investigate the activation under $H_2O$(30%) -$N_2$atmosphere at various heating rates. The kinetic equation [$f=1-\exp(-a{\Delta}T)^b$] which was derived on the basis of the nonisothermal activation process of carbon fiber in the $H_2O$(30%)-$N_2$system showed good agreement with experimetal results. The pore volume upon conversion was in good agreement with the model of theoretical pore volume. The pore structures of the activated carbon fiber were influenced by the heating rate, activation temperature and internal-external conversions.

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Porosity and Liquid-phase Adsorption Characteristics of Activated Carbons Prepared From Peach Stones by $H_3PO_4$

  • Attia, Amina A.;Girgis, Badie S.;Tawfik, Nady A.F.
    • Carbon letters
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    • v.6 no.2
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    • pp.89-95
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    • 2005
  • Crushed peach stone shells were impregnated with $H_3PO_4$ of increasing concentrations (30-70%) followed by heat treatment at 773 K for 3 h. Produced carbons (ACs) were characterized by $N_2$ adsorption at 77 K using the BET-equation and the ${\alpha}$-method. High surface area microporous ACs were obtained, with enhanced internal pore volume, as function of % $H_3PO_4$. Adsorption isotherms from aqueous solution were determined for methylene blue (MB) and p-nitrophenol (PNP), as representatives for dye and phenolics pollutant molecules. Application of the Langmuir model proved the high limiting capacity towards both solute molecules, MB was uptaken in increasing amounts as function of $H_3PO_4$ concentration and generated porosity. High removal of PNP was almost the same irrespective of porosity characteristics. Competitive adsorption of $H_2O$ molecules on the hydrophilic carbon surface seems to partially reduce the available area to the PNP molecules. Application of the pseudo-second order law described well the fast adsorption (${\leq}$ 120 min) at two initial dye concentrations.

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