• Title/Summary/Keyword: kinetic equation

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Computation of viscoelastic flow using neural networks and stochastic simulation

  • Tran-Canh, D.;Tran-Cong, T.
    • Korea-Australia Rheology Journal
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    • v.14 no.4
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    • pp.161-174
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    • 2002
  • A new technique for numerical calculation of viscoelastic flow based on the combination of Neural Net-works (NN) and Brownian Dynamics simulation or Stochastic Simulation Technique (SST) is presented in this paper. This method uses a "universal approximator" based on neural network methodology in combination with the kinetic theory of polymeric liquid in which the stress is computed from the molecular configuration rather than from closed form constitutive equations. Thus the new method obviates not only the need for a rheological constitutive equation to describe the fluid (as in the original Calculation Of Non-Newtonian Flows: Finite Elements St Stochastic Simulation Techniques (CONNFFESSIT) idea) but also any kind of finite element-type discretisation of the domain and its boundary for numerical solution of the governing PDE's. As an illustration of the method, the time development of the planar Couette flow is studied for two molecular kinetic models with finite extensibility, namely the Finitely Extensible Nonlinear Elastic (FENE) and FENE-Peterlin (FENE-P) models.P) models.

Modeling of Reversible and Irreversible Threshold Voltage Shift in Thin-film Transistors (박막트랜지스터의 병렬형 가역과 비가역 문턱전압 이동에 대한 모델링)

  • Jung, Taeho
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.29 no.7
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    • pp.387-393
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    • 2016
  • Threshold voltage shift has been observed from many thin-film transistors (TFTs) and the time evolution of the shift can be modeled as the stretched-exponential and -hyperbola function. These analytic models are derived from the kinetic equation for defect-creation or charge-trapping and the equation consists of only reversible reactions. In reality TFT's a shift is permanent due to an irreversible reaction and, as a result, it is reasonable to consider that both reversible and irreversible reactions exist in a TFT. In this paper the case when both reactions exist in parallel and make a combined threshold voltage shift is modeled and simulated. The results show that a combined threshold voltage shift observed from a TFT may agrees with the analytic models and, thus, the analytic models don't guarantee whether the cause of the shift is defection-creation or charge-trapping.

Characterization of Rainfall Kinetic Energy in Seoul (서울 지점의 강우운동에너지 특성에 관한 연구)

  • Lee, Joon-Hak
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.40 no.1
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    • pp.111-118
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    • 2020
  • The rainfall kinetic energy equation derived in the USA has been used in South Korea to quantitatively estimate the amount of soil erosion caused by rainfall for the past 40 years. It is critical to analyze the characteristics of rainfall kinetic energy that causes soil erosion from measured storm events in the study area because the characteristics depend on climate, region, and time. The purpose of this study is to analyze the characteristics in Seoul, South Korea, and the data of the Parsivel rain gauge measured in Seoul for 3 years was used for the current study. This study focuses on deriving the relationship between rainfall kinetic energy and rainfall intensity among the data measured by the Parsivel. The new rainfall kinetic energy equation in Seoul is proposed and compared with the previous equations used in South Korea.

Reaction Characteristics and Kinetic Analysis of Enzymatic Hydrolysis of Corn Gluten Meal Using Alkaline Protease (Alkaline Protease를 이용한 Corn Gluten Meal의 효소가수분해 반응특성 및 반응속도론적 분석)

  • 김성진;이은규남충희
    • KSBB Journal
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    • v.10 no.5
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    • pp.540-546
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    • 1995
  • Dry corn gluten meal of 70% protein content was enzymatically hydrolyzed by alkaline protease in a pH-state reactor. Such process variables as temperature, pH, and enzyme-to-substrate ratio were varied, and at each condition degree of hydrolysis was monitored and calculated. The ultimate degree of hydrolysis, which ranged between 25 and 28% based on gluten protein mass, was not significantly affected by the process variables. However, $50^{\circ}C$ and pH 9-10 appeared optimum. Kinetic analysis indicated enzyme deactivation was negligible during the hydrolysis, and the experimental data were near perfectly fitted to the model kinetic equation which was modified after neglecting enzyme deactivation term. The enzyme reaction was 1$100\times$ scaled up and basically the same hydrolysis performance was resulted. Amino acid analysis showed the hydrolyzate was relatively rich in glutamine/glutamic acid, leucine, and alanine at 19.6, 16.1, and 12.3 mole %, respectively.

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A Study on the Effect of Piston Pin Offset on a Piston Motion and Kinetic Energy Loss (피스톤핀 옵셋이 피스톤운동과 운동에너지 손실에 미치는 영향에 관한 연구)

  • Han, D.J.;Choi, J.K.
    • Transactions of the Korean Society of Automotive Engineers
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    • v.1 no.3
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    • pp.22-33
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    • 1993
  • A theoretical analysis of predicting the detailed motion of a piston-crank mechanism within piston-guide clearance is presented, and the analysis is applied to the piston motion in a gasoline engine. A piston movement program is developed to calculate the piston attitude relative to the bore, the piston to bore impact velocity and kinetic energy loss and the net transverse force acting on the piston. This paper presents the formulation of a set of differential equations governing the transverse and rotational motion of a piston. These equations of motion were solved by well established Runge-Kutta method. As a result of this study, it is possible to predict the effects of piston geometry and piston pin offset on a piston motion and kinetic energy loss.

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A Study on Phtosynthetic Kinetics of Sunflower , Helianthus annus L. (해바라기의 광합성에 대한 동력학적 연구)

  • Chang, Nam-Kee;Kim, Sung-Ha
    • Journal of The Korean Society of Grassland and Forage Science
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    • v.3 no.2
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    • pp.77-85
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    • 1983
  • This report gives the results of studies on the photosynthetic kinetics. Futhermore, conformity and validity of the kinetic equation are elucidated by the experiment of sunflower leaves. The kinetic equations of photosynthesis are dirived from the equations of assimilation and dissimilation. The equations (6) and (7) are obtained by the result of this investigation. Conformity and validity of the above kinetic equations are elucidated by the fitted equation (8) on photosynthesis of sunflower leaves in relation to various environmental factors.

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Kinetic Studies of the Solvolyses of 2,2,2-Trichloro-1,1-Dimethylethyl Chloroformate

  • Koh, Han-Joong;Kang, Suk-Jin;Kevill, Dennis N.
    • Bulletin of the Korean Chemical Society
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    • v.31 no.4
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    • pp.835-839
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    • 2010
  • The rate constants of solvolyses of 2,2,2-trichloro-1,1-dimethylethyl chloroformate ($\underline{I}$) in 33 solvents can be well correlated using the extended Grunwald-Winstein equation, with incorporation of the $N_T$ solvent nucleophilicity scale and the $Y_{Cl}$ solvent ionizing scale, with sensitivities towards changes in the scale having values of $1.42\;{\pm}\;0.09$ for l and $0.39\;{\pm}\;0.05$ for m, respectively. The activation enthalpies are ${\Delta}H^{\neq}\;=\;12.3$ to $14.5\;kcal{\cdot}mol^{-1}$ and the activation entropies are -28.2 to $-35.5\;cal{\cdot}mol^{-1}{\cdot}K^{-1}$, consistent with the proposed bimolecular reaction mechanism. The kinetic solvent isotope effect of 2.14 in MeOH/MeOD is in accord with a bimolecular mechanism, probably assisted by general-base catalysis.

Direct Solving the Boltzmann Equation for Supersonic Jet Problems with Instabilities

  • Aristov V.V.;Zabelok S.A.
    • 한국전산유체공학회:학술대회논문집
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    • 2003.10a
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    • pp.268-269
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    • 2003
  • The Boltzmann kinetic equation is solved directly by means of the conservative splitting method. Underexpanded supersonic free jet flows with small Knudsen numbers are studied. In this numerical simulation features intrinsic to appropriate experiments are observed. Streamwise vortices in a mixing layer and chaotic downstream temporal-spatial fluctuations of microscopic quantities with large amplitude are obtained.

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EVALUATION OF KINETIC PARAMETERS IN ENZYMIC NON-LINEAR PROGRESS REACTIONS

  • Lee Hyun-Jae;Kim Soo Ja
    • Journal of the Korean Chemical Society
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    • v.15 no.1
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    • pp.11-14
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    • 1971
  • A modified form of the integrated Michaelis-Menten equation would provide a useful means of evaluating enzyme kinetic parameters in nonlinear progress reaction with time. A slight modification of the Lineweaver-Burk form (and other variants) using for the velocity, the change in substrate concentration divided by time ($\={v}$), and for the velocity, the change in substrate for the time interval ($\={S}$), allows this linear reciprocal form to be used with negligible error even when as much as half of the substrate is utilized during the time interval.

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Development of a Consistently Formulated General Order Nodal Method for Solving the Three-Dimensional Multi -Group Neutron Kinetic Equations

  • Kim, H.D.
    • Proceedings of the Korean Nuclear Society Conference
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    • 1996.05a
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    • pp.137-141
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    • 1996
  • A new general high order consistent nodal method for solving the 3-D multigroup neutron kinetic equations in (x-y-z) geometry has been derived by expending the flux in a multiple polynomial series for the space variables by without the quadratic fit approximations of the transverse leakage and for the time variable and using a weighted-integral technique. The derived equation set is consistent mathematically, and therefore, we can expect very accurate solutions and less computing time since we can use coarse meshes in time variable as well as in spatial variables and the solution would converge exactly in fine mesh limit.

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