• Title/Summary/Keyword: Arrhenius equations

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An improvement on the concrete exothermic models considering self-temperature duration

  • Zhu, Zhenyang;Chen, Weimin;Qiang, Sheng;Zhang, Guoxin;Liu, Youzhi
    • Computers and Concrete
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    • v.19 no.6
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    • pp.659-666
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    • 2017
  • Based on the Arrhenius equations, several hydration exothermic models that precisely calculate the influence of concrete's self-temperature duration on its hydration exothermic rate have been presented. However, the models' convergence is difficult to achieve when applied to engineering projects, especially when the activation energy of the Arrhenius equation is precisely considered. Thus, the models' convergence performance should be improved. To solve this problem and apply the model to engineering projects, the relationship between fast iteration and proper expression forms of the adiabatic temperature rise, the coupling relationship between the pipe-cooling and hydration exothermic models, and the influence of concrete's self-temperature duration on its mechanical properties were studied. Based on these results, the rapid convergence of the hydration exothermic model and its coupling with pipe-cooling models were achieved. The calculation results for a particular engineering project show that the improved concrete hydration exothermic model and the corresponding mechanical model can be suitably applied to engineering projects.

Numerical Requirements for the Simulation of Detonation Cell Structures (데토네이션 셀 구조 모사를 위한 수치적 요구 조건)

  • Choi Jeong-Yeol;Cho Deok-Rae
    • Journal of the Korean Society of Propulsion Engineers
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    • v.10 no.2
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    • pp.1-14
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    • 2006
  • Present study examines the numerical issues of cell structure simulation for various regimes of detonation phenomena ranging from weakly unstable to highly unstable detonations. Inviscid fluid dynamics equations with $variable-{\gamma} $ formulation and one-step Arrhenius reaction model are solved by a MUSCL-type TVD scheme and 4th order accurate Runge-Kutta time integration scheme. A series of numerical studies are carried out for the different regimes of the detonation phenomena to investigate the computational requirements for the simulation of the detonation wave cell structure by varying the reaction constants and grid resolutions. The computational results are investigated by comparing the solution of steady ZND structure to draw out the minimum grid resolutions and the size of the computational domain for the capturing cell structures of the different regimes of the detonation phenomena.

Theoretical analysis on the cool storage system using clathrates (포접화합물을 이용한 축냉시스템에 대한 이론적 해석)

  • Chung, J.D.;Jung, I.S.;Yoo, H.;Lee, J.S.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.9 no.3
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    • pp.343-353
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    • 1997
  • This paper presents a theoretical model for predicting transient behaviors during storage process of the cool storage system using the R141b clathrate. Introduction of the lumped capacitance method along with a brine reservoir having large thermal capacity yields a set of simplified energy equations. Based on the Arrhenius equation and the known experimental findings, the formation rate of clathrate for which the degree of subcooling is properly accounted is newly developed. An effective nondimensionalization of the model equations facilitates the closure of modeling as well as parametric study. Calculated results for a specific case not only simulate a typical pattern of temperautre variation in the tank successfully, but also agree reasonably well with available data. The effect of each characteristic parameter on the system performance is also investigated. It is revealed that the dominant among relevant parameters are the activation energy of reaction, the degree of subcoling and the initial mass fraction of refrigerant. Finally, the uncertainty associated with modeling of the shaft work variation appears to need further studies.

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Numerical simulation on propagation of hydrocarbon flame in a deformable tube (변형하는 가스 이송관 내에서 전파하는 탄화수소화염의 수치 해석 모델링)

  • Gwak, Min-Cheol;Yoh, Jai-Ick
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2012.05a
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    • pp.304-308
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    • 2012
  • This paper presents a numerical investigation on propagation of hydrocarbon (ethylene-air mixture) detonation in a deformable copper tube. In this study, we deal with interactions of multi-materials, gas and solid. In gas phase, the model consists of the reactive compressible Navier-Stokes equations and one step chemical reaction. Also we use Inviscid Euler equations in solid. In order to the interface tracking and the determination of boundary values, our model handle level-set and ghost fluid method. Through the numerical simulation results, we identify generations of expansion waves and interferences by the wall deformation. In addition, we predict the minimum copper tube thickness that ensures safety under an incident detonation.

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Prediction of Continuous Reactors Performance Based on Batch Reactor Deactivation Kinetics Data of Immobilized Lipase

  • Murty, V.Ramachandra;Bhat, Jayadev;Muniswaran, P.K.A.
    • Biotechnology and Bioprocess Engineering:BBE
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    • v.7 no.4
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    • pp.225-230
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    • 2002
  • Experiments on deactivation kinetics of immobilized lipase enzyme from Candida cyl-indracea were performed in stirred bath reactor using rice bran oil as the substrate and temperature as the deactivation parameter. The data were fitted In first order deactivation model. The effect of temperature on deactivation rate was represented by Arrhenius equation. Theoretical equations were developed based on pseudo-steady state approximation and Michaelis -Menten rate expression to predict the time course of conversion due to enzyme deactivation and apparent half-life of the immobilized enzyme activity in PFR and CSTH under constant feed rate polity for no diffusion limitation and diffusion limitation of first order. Stability of enzyme in these continuous reactors was predicted and factors affecting the stability were analyzed.

STUDY OF THREE-DIMENSIONAL DETONATION WAVE STRUCTURES USING PARALLEL PROCESSING (병렬 처리를 이용한 3차원 데토네이션 파 구조 해석)

  • Cho D.R.;Choi J.Y.
    • 한국전산유체공학회:학술대회논문집
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    • 2005.10a
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    • pp.151-155
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    • 2005
  • Three-dimensional structures of unsteady detonation wave propagating through a square-shaped tube is studied using computational method and parallel processing. Inviscid fluid dynamics equations coupled with variable-${\gamma}$ formulation and simplified one-step Arrhenius chemical reaction model were analysed by a MUSCL-type TVD scheme and four stage Runge-Kutta time integration. Results in three dimension show the two unsteady detonation wave propagating mode, the Rectangular and diagonal mode of detonation wave instabilities. Two different modes of instability showed the same cell length but different cell width and the geometric similarities in smoked-foil record.

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NUMERICAL STUDY OF THREE-DIMENSIONAL DETONATION WAVES USING PARALLEL PROCESSING (병렬 처리를 이용한 3차원 테토네이션 파 수치해석)

  • Cho, D.R.;Choi, J.Y.
    • 한국연소학회:학술대회논문집
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    • 2005.10a
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    • pp.15-19
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    • 2005
  • Three-dimensional structures of unsteady detonation wave propagating through a square-shaped tube is studied using computational method and parallel processing. Inviscid fluid dynamics equations coupled with variable-${\gamma}$ formulation and simplified one-step Arrhenius chemical reaction model were analysed by a MUSCL-type TVD scheme and four stage Runge-Kutta time integration. Results in three dimension show the two unsteady detonation wave propagating mode, the Rectangular and diagonal mode of detonation wave instabilities. Two different modes of instability showed the same cell length but different cell width and the geometric similarities in smoked-foil record.

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NUMERICAL REQUIREMENTS FOR THE SIMULATION OF DETONATION CELL STRUCTURES (기체 상 데토네이션 셀 구조 해석을 위한 수치적 요구 조건)

  • Choi, Jeong-Yeol;Cho, Deok-Rae;Lee, Su-Han
    • 한국전산유체공학회:학술대회논문집
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    • 2007.04a
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    • pp.177-181
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    • 2007
  • Present study examines the numerical issues of cell structure simulation for various regimes of detonation phenomena ranging from weakly unstable to highly unstable detonations. Inviscid fluid dynamics equations with $variable-{\gamma}$ formulation and one-step Arrhenius reaction model are solved by a MUSCL-type TVD scheme and 4th order accurate Runge-Kutta time integration scheme. A series of numerical studies are carried out for the different regimes of the detonation phenomena to investigate the computational requirements for the simulation of the detonation wave cell structure by varying the reaction constants and grid resolutions. The computational results are investigated by comparing the solution of steady ZND structure to draw out the minimum grid resolutions and the size of the computational domain for the capturing cell structures of the different regimes of the detonation phenomena.

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Rotary Kiln Flame and Heat Transfer Model - Analysis of Thermal Performance according to Fuel (로터리킬른 화염 및 열전달 모형 - 연료에 따른 열 성능 분석 사례)

  • Choi, Donghwan;Choi, Sangmin
    • Journal of the Korean Society of Combustion
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    • v.22 no.4
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    • pp.9-18
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    • 2017
  • This paper is to suggest a simple flame model for the analysis of an internal flame of rotary kilns and to present the application cases. Reaction rates in the multi combustion stages of the selected solid fuel were calculated considering the reaction rates with the Arrhenius type equations. In addition, primary and secondary air flow arrangement were considered. As a simple application case, the combustion trends according to the different solid fuels were described. Improved operating conditions as related with the fuel characteristics were shown to be important for the stable combustion characteristics and the performance of the reactors as defined by the exit temperature of the solid materials.

A Transient Modeling of Temperature Variation in a Melting Furnace of a Pyrolysis Melting Incinerator (열분해 용융소각로 내 용융로에서의 온도변화에 대한 과정론적 모델링)

  • Kim, Bong-Keun;Yang, Won;Yu, Tae-U
    • 한국연소학회:학술대회논문집
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    • 2006.04a
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    • pp.167-171
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    • 2006
  • The previous models for thermal behavior in the melting furnace were deterministic, composed of such a form that if the initial input conditions are determined, the results would have been come out by using the basic heat equilibrium equations. But making the experiment by trusting the analysis results, the melted slag is fortuitously set often, because temperature variation of the melted slag in the reaction process is not point function but path function. So in this study, a transient model was developed and verified by comparing with the experimental results.

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