• Title/Summary/Keyword: kinetic equation

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A Study on the Design of Horizontal Traverse Units in an Automatic Object Changer Unit to Establish a Flexible Production System (Part 2) (유연생산 시스템 구축을 위한 공작물 자동교환 유닛의 수평 이송 기구 설계에 관한 연구(파트 2))

  • Park, Hoo-Myung;Sung, Jae-Kyung;Lee, Yong-Joong;Ha, Man-Kyung
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.7 no.2
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    • pp.52-59
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    • 2008
  • The objective of this study is to develop an automatic object changer unit to improve processing problems existed in the conventional horizontal machining center. To achieve this goal, this study designed a horizontal transfer as the second project continued to the first project that designed a upward and downward traverse unit. A horizontal traverse unit shows a symmetric structure and consists of frame, which consists of four unit tools, motor and reducer, which are fixed at a frame, operation unit with pinions, first traverse unit, and second traverse unit. Constraint conditions based on the operation mechanism with these elements were configured and obtained following results after modeling a model for a traverse motor. In the kinematic expression of sliding motion with one degree of freedom, the sliding motion is constrained. Also, the rack 3 installed at a frame is used to configure possible kinematic constraint conditions of the rack 2 according to the rolling motion of the pinion 2 in the first traverse unit. In addition, the moment of inertia that is a type of kinetic energy in a converted horizontal traverse unit in the side of the reducer can be applied to introduce the moment of inertia of a converted horizontal traverse unit in the side of the reducer by using the sum of kinetic energy in the rack and pinion, which is a part of the horizontal traverse unit. Also, the equation of motion of the converted upward and downward traverse unit in the side of the motor using the equation of motion of the motor. Furthermore, the horizontal traverse unit predetermines the mass of the first and second traverse unit and applied load including the radius and reduction ratio of the pitch circle in the pinion 1 and applied load to the rack 2. Then, a proper motor can be determined using several parameters in the upward and downward traverse unit in order to verify such predetermined specifications. In future studies later this study, a simulation that verifies the results of the previous two stages of studies using a finite element method.

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Cure Kinetics of Cycloaliphatic Epoxy/Silica System for Electrical Insulation Materials in Outdoor Applications

  • Lee, Jae-Young;Park, Jae-Jun;Kim, Jae-Seol;Shin, Seong-Sik;Yoon, Chan-Young;Cheong, Jong-Hoon;Kim, Young-Woo;Kang, Geun-Bae
    • Transactions on Electrical and Electronic Materials
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    • v.16 no.2
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    • pp.74-77
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    • 2015
  • The cure kinetics of a neat epoxy system and epoxy/silica composite were investigated by DSC analysis. A cycloaliphatic type epoxy resin was diglycidyl 1,2-cyclohexanedicarboxylate and curing agent was anhydride type. To estimate kinetic parameters, the Kissinger equation was used. The activation energy of the neat epoxy system was 88.9 kJ/mol and pre-exponential factor was 2.64×1012 min−1, while the activation energy and pre-exponential factor for epoxy/silica composite were 97.4 kJ/mol and 9.21×1012 min−1, respectively. These values showed that the silica particles have effects on the cure kinetics of the neat epoxy matrix.

Experimenting biochemical oxygen demand decay rates of Malaysian river water in a laboratory flume

  • Nuruzzaman, Md.;Al-Mamun, Abdullah;Salleh, Md. Noor Bin
    • Environmental Engineering Research
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    • v.23 no.1
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    • pp.99-106
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    • 2018
  • Lack of information on the Biochemical Oxygen Demand (BOD) decay rates of river water under the tropical environment has triggered this study with an aim to fill the gap. Raw sewage, treated sewage, river water and tap water were mixed in different proportions to represent river water receiving varying amounts and types of wastewater and fed in a laboratory flume in batch mode. Water samples were recirculated in the flume for 30 h and BOD and Carbonaceous BOD (CBOD) concentrations were measured at least six times. Decay rates were obtained by fitting the measured data in the first order kinetic equation. After conducting 12 experiments, the range of BOD and CBOD decay rates were found to be 0.191 to 0.92 per day and 0.107 to 0.875 per day, respectively. Median decay rates were 0.344 and 0.258 per day for BOD and CBOD, respectively, which are slightly higher than the reported values in literatures. A relationship between CBOD decay rate and BOD decay rate is proposed as $k_{CBOD}=0.8642_{k_{BOD}}-0.0349$ where, $k_{CBOD}$ is CBOD decay rate and $k_{BOD}$ is BOD decay rate. The equation can be useful to extrapolate either of the decay rates when any of the rates is unknown.

Predicting Methane Production Potential of Anaerobic Co-digestion of Swine Manure and Food Waste

  • Shin, Joung-Du;Han, Sung-Su;Eom, Ki-Cheol;Sung, Shi-Hwu;Park, Sang-Won;Kim, Hyun-Ook
    • Environmental Engineering Research
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    • v.13 no.2
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    • pp.93-97
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    • 2008
  • Anaerobic co-digestion of swine manure and food waste for biogas production was performed in serum bottles at 2% volatile solids(VS) concentration and various mixing ratios of two substrates(swine manure: food waste = 100 : 0 $\sim$ 0 : 100). Through kinetic mode of surface methodology, the methane production was fitted to a Gompertz equation. The specific methane production potential of swine manure alone was lower than that of food waste. However, maximum methane production potential increased up to 1.09-1.22% as food waste composition increased up to the 80%. The maximum methane production value of food waste was 544.52 mL/g VS. It was observed that the maximum methane production potential of 601.86 mL/g VS was found at the mixing ratio of 40:60.

Cinnamic Acid Derivatives IV, The Kinetics and Mechanism of the Hydrolysis of Cinnamylidene aniline Derivatives (신남산 유도체 Ⅳ, Cinnamylidene anilin 유도체의 가수분해 반응에 대한 메카니즘과 그 반응속도론적 연구)

  • Lee, Gi-Chang;Park, Su-In;Hwang, Yong-Hyeon;Lee, Gwang-Il;Choe, Bong-Jong;Jeong, Deok-Chae
    • Journal of the Korean Applied Science and Technology
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    • v.8 no.1
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    • pp.1-7
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    • 1991
  • The kinetic of hydrolysis for cinnamylidene aniline derivatives has been investigated by ultraviolet spectrophotometry in 20% (v/v) dioxane - $H_2O$ at $25^{\circ}C$. A rate equation which can be applied over wide pH range was obtained. The substituent effects on cinnamylidene aniline derivatives were studied and the hydrolysis was facilitated by electron attracting group. Final products of the hydrolysis were cinnamaldehyde and aniline. From the rate equation, substituent effect and final products, the hydrolysis of cinnamylidene aniline derivatives was initiated by the neutral molecule of $H_2O$ which does not dissociate at below pH 9.0${\sim}$12.0, but proceeded by the hydrogen ion at above pH 5.0${\sim}$9.0.

Prediction Model for the Microstructure and Properties in Weld Heat Affected Zone : IV. Critical Particle Size for the Particle Coarsening Kinetics in Weld HAZ of Ti Added Low Alloyed Seel (용접 열영향부 미세조직 및 재질 예측 모델링: IV. Ti-첨가 저합금강에서의 임계 석출물 크기의 영향을 고려한 용접 열영향부 석출물 조대화 예측 모델)

  • Moon, Joon-Oh;Kim, Sang-Hoon;Jeong, Hong-Chul;Lee, Jong-Bong;Lee, Chang-Hee
    • Journal of Welding and Joining
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    • v.25 no.2
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    • pp.62-69
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    • 2007
  • A kinetic model fur the particle coarsening behavior was developed. The proposed model considered the critical particle size which can be derived from Gibbs-Thomson equation unlike the conventional approach. In this study, the proposed particle coarsening model was applied to study the coarsening behavior of titanium nitride (TiN particle) in microalloyed steel weld HAZ. Particle size distributions and mean particle size by the proposed model were in agreement with the experimental results. Meanwhile, using additivity rule, the isothermal model was extended to predict particle coarsening behavior during continuous thermal cycle.

Calculation of a 2-D channel flow with a dimple (딤플이 존재하는 2차원 수로유동의 계산)

  • Choe, Seo-Won;Baek, Yeong-Ho;Kim, Du-Yeon;Gang, Ho-Cheol
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.21 no.1
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    • pp.49-56
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    • 1997
  • Heat-transfer enhancement is seeked through modifications of fin surface. Real life plate-fin heat exchangers have complex three-dimensional geometries. Fins can have arrays of dimples and are attached to rows of penetrating tubes. To isolate the effect of surface modification, we model the real flow by a two-dimensional channel flow with a dimple on one side. The flow is analysed by solving the incompressible Navier-Stokes equation by a finite volume method on a generalized boundary-fitted coordinate. Results show a trapped vortex inside the dimple for all cases computed. Local maximum of Nusselt number occurs near the downstream end of the dimple, due to such a vortex. Location of the vortex does not change with respect to the wall temperature change, but moved downstream when Reynolds number increases. This, together with the results that in all cases vortex core is somewhat downstream of the dimple center, suggests that the mean flow above continuously feeds the kinetic energy to the recirculating flow. Heat transfer enhancement and pressure losses are studied through analysing the relevant dimensionless parameters like, Nusselt number and friction factor. In all cases computed, dimpled channel flow experiences less pressure loss than two-dimensional Poiseuille flow.

Analysis of Low-Speed Gas Flows Around a Micro-Plate Using a FDDO Method (FDDO 방법을 이용한 미소평판 주위의 저속 유동장 해석)

  • Chung, Chan-Hong
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.32 no.8
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    • pp.12-19
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    • 2004
  • Low-speed gas flows around a micro-scale flat plate are investigated using a kinetic theory analysis. 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 flows around a 5% flat plate with a finite length of 20 microns. The results are compared with those from the Information Preservation method and a continuum approach with slip boundary conditions. It is shown that three different approaches predict a similar basic flow patterns, while the results from the present method are more accurate than those from the other two methods in details.

A Study on the prediction of braking time for rotor brake system considering the friction coefficient variation with temperature (마찰계수의 변화를 고려한 로터 브레이크 시스템의 제동시간 예측)

  • Choi, Jang-Hun;Oh, Min-Hwan;Cho, Jin-Yeon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.37 no.7
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    • pp.653-660
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    • 2009
  • A helicopter rotor brake system stops or reduces the speed of the rotor by transforming the kinetic energy into the heat energy. The frictionally generated heat has a considerable effect on the frictional property of material itself and causes the change of the friction coefficient which may affect the breaking time significantly. In this paper, to take into account the effect of change of friction coefficient according to temperature on braking time, thermo-mechanically coupled analysis is carried out by commercial software ABAQUS. Further, simple theoretical equation is derived considering thermo-mechanical behaviors. The predicted braking times both from theoretical and numerical methods are compared and validity of proposed theoretical equation is investigated.

Free In-plane Vibration of a Clamped Circular Plate (고정된 원형 플레이트의 평면내 자유진동)

  • Park, Chan-Il
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.05a
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    • pp.836-839
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    • 2005
  • The in-plane vibration response of a clamped circular plate should be predicted in many applications. Up to now, papers on the in-plane vibration of rectangular plate are published. However, analytical derivation on the in-plane vibration of the clamped circular plate is not carried out. Therefore, the in-plane vibration of the clamped circular plate is the concern of this paper. In order to derive the equations of motion for the clamped circular plate in the cylindrical coordinate, the kinetic energy and potential energy for the in-plane behavior are obtained by us ing the stress-strain-displacement expressions. Application of Hamilton's principle leads to two sets of differential equations. These displacement equations were highly coupled. It is possible to obtain a simpler set of equations by introducing Helmholtz decomposition. Substituting them into the coupled differential equations, we obtain the uncoupled equations of motion. In order to solve them, we assume that the solutions are harmonic. Then, they lead to the wave equations. Using the separation of variable, we obtain the general solutions for the equations. Based on the solutions, the displacements for r and $\theta$ direction are assumed. Finally we obtain the frequency equation for the clamped circular plate by the application of boundary conditions. The derived equation is compared with the finite element analysis for validation by using the some numerical examples.

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