• Title/Summary/Keyword: balance equations

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A Study on the Deposition Characteristics of Ultrafine SiO2 Particles by Temperature Control in Deposition Zone (증착 구간에서의 온도 제어에 따른 SiO2 초미립자의 증착 특성 고찰)

  • You, Soo-Jong;Kim, Kyo-Seon
    • Journal of Industrial Technology
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    • v.16
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    • pp.157-168
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    • 1996
  • The deposition characteristics of ultrafine $SiO_2$ particles were investigated in a tube furnace reactor theoretically and experimentally controlling tube wall temperature in deposition zone. The model equations such as mass and energy balance equations and aerosol dynamic equations inside reactor and deposition tube were solved to predict the particle growth and deposition. The particle size and deposition efficiencies of $SiO_2$ particles were calculated, changing the process conditions such as tube furnace setting temperature, total gas flow rate inlet $SiCl_4$ concentration and were compared with the experimental results.

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Modeling and Simulation of an EPPR Valve Coupled with a Spool Valve

  • Khan, Haroon Ahmad;Yun, So-Nam
    • Journal of Drive and Control
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    • v.16 no.2
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    • pp.30-35
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    • 2019
  • EPPR (Electro-hydraulic Proportional Pressure Reducing) valves are pressure control valves. In this study, an independent metering valve (IMV), which is a combination of a spool valve opened and closed with the help of an EPPR valve, was discussed. The overall performance of the valve (IMV) was obtained by the respective modeling and simulation of the system. The valve investigated in this study is to be used for independent metering of hydraulic excavator actuator e.g. boom, arm, bucket etc. To design the model, continuity equations and force balance equations were used. The set of differential equations were then simulated in Simulink using ODE45 option in the configuration toolbox. The valve has to be able to control the flow rate going in and out of the cylinder separately, which is why the particular configuration was needed and selected.

Analysis of the Esterification Process for Poly(ethylene terephthalate)

  • Ahn, Young-Cheol;Park, Soo-Myung
    • Macromolecular Research
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    • v.11 no.6
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    • pp.399-409
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    • 2003
  • The first esterification reactor in the continuous polymerization of poly(ethylene terephthalate) has been analyzed by solving the material balances for the two-phase system with respect to the solubility of terephthalic acid. The Newton-Raphson method was used to solve the material balance equations instead of the Simplex method that is frequently used for finding a minimum point of a residual rather than a solution of an equation. A solution for the material balance equations, with the constraint of non-zero liquid phase fraction, could not be obtained with the solubility data of Yamada et al., but could be obtained with solubilities over a minimum value that is larger than their data. Thus, the solubility data of Yamada et al. are considered to be too small. On the other hand, the solubility data of Baranova and Kremer are so large that they gave a solution with the liquid phase only. Based on our results, several typical solubility curves satisfying the constraint of a non-zero liquid phase fraction are suggested in this study; we studied the reaction characteristics of the system using these curves. A higher temperature and a lower pressure are preferred for reducing the content of diethylene glycol.

Precision Circular-path Walking of a Biped Robot with Consideration of Rotational Effects (회전효과를 고려한 이족 로봇의 정밀 원형 경로 보행)

  • Lim, Seungchul;Kwak, Byungmoon;Lim, Jooyoung;Son, Youngik
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.24 no.4
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    • pp.299-309
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    • 2014
  • When biped robots make turns, the ability to walk stably and precisely along any circular path is crucial. In this context, inverse kinematics solutions are found for accurate gait realization, and new zero moment point(ZMP) equations are derived with respect to the cyclindrical coordinate system to facilitate generation of stable walking patterns. Then, appropriate steady and transitional walking patterns are both proposed in form of time functons. Subsequently, walking patterns for a path but of different speeds are generated using the functions and associated formulas, and preliminarily checked for stability based on the ZMP equations. Upon comparison of those cases, one can see how and when robots may fall down during circular walking. Finally, those patterns are put to test on the sample robot by ADAMS(R) along with the inverse kinematics solutions and a new balance control scheme compensating for insufficient stability particulary during the initial transition period. Test results show that the robot can walk along the circular path as predicted at a resonably high speed despite the distributed mass and ground contact effects, validating effectiveness of the suggested approach.

A Study on Dynamic Characteristics of Gear-System (기어-시스템의 동특성에 대한 연구)

  • Lee, Hyoung-Woo;Park, No-Gill
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.11 s.176
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    • pp.111-117
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    • 2005
  • The vibration problems associated with gear coupled rotors have been the focus of much engineering work. These systems are complex and difficult to analyze in that they have the problems associated with conventional rotors plus those additional problems associated with the gear couplings. This paper examines the problems peculiar to the gear mesh. Because of the meshing action of gears, the elasticity of the gear teeth introduces time-varying stiffness coefficients into the governing equations of motion. This means that system response must be thought of in terms of Mathieu-type equations, where multiple-frequency response occur due to the periodic coefficients. The meshing action of the gears also couples the lateral and torsional gear motions. Gear errors, such as tooth profile and spacing errors, produce forces and torque that excite the system at multiple frequencies, some of which are much higher than shaft rotational speed. To investigate how to the time-varying stiffness in the gear teeth and the gear errors act one the dynamic response of the gear coupled rotors, a three-dimensional dynamic model with lateral-tortional oscillation is developed. The harmonic balance technique is employed to solve this mathieu-type problem.

A study for gas distribution in separators of molten carbonate fuel cell (용융 탄산염 연료전지의 분리판 내 연료 분배 해석)

  • Park, Joonho;Cha, Suk Won
    • 한국신재생에너지학회:학술대회논문집
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    • 2011.11a
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    • pp.82.2-82.2
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    • 2011
  • A channel design which is closely related with the mass transport overpotential is one of the most important procedures to optimize the whole fuel cell performance. In this study, three dimensional results of a numerical study for gas distribution in channels of a molten carbonate fuel cell (MCFC) unit cell for a 1kW class stack was presented. The relationship between the fuel and air distribution in the anode and cathode channels of the unit cell and the electric performance was observed. A charge balance model in the electrodes and the electrolyte coupled with a heat transfer model and a fluid flow model in the porous electrodes and the channels was solved for the mass, momentum, energy, species and charge conservation. The electronic and ionic charge balance in the anode and cathode current feeders, the electrolyte and GDEs were solved for using Ohm's law, while Butler-Volmer charge transfer kinetics described the charge transfer current density. The material transport was described by the diffusion and convection equations and Navier-Stokes equations govern the flow in the open channel. It was assumed that heat is produced by the electrochemical reactions and joule heating due to the electrical currents.

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Relationship Between Gait Symmetry and Functional Balance, Walking Performance in Subjects with Stroke (뇌졸중 환자의 보행 대칭성과 기능적 균형 및 보행과의 상관관계 연구)

  • Kim, Joong-Hwi
    • The Journal of Korean Physical Therapy
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    • v.26 no.1
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    • pp.1-8
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    • 2014
  • Purpose: The aim of the present study was to understand the relationship between gait symmetry and functional balance, walking performance in stroke patients and to makes recommendation regarding the most suitable measure for standardization of expression of spatiotemporal gait symmetry. Methods: 45 subjects with stroke (31 men, 14 women, $57.3{\pm}10.3$ years old) participated in this study. Gait symmetry was calculated by equations of symmetry ratio (SR) and symmetry criterion (SC) for stance time, swing time, single leg support time (SLST), step length, and stride length. Spatiotemporal parameters were measured respectively by walkway system ($GAITRite^{TM}$ system). Limit of stability (LOS) by using forceplate (Balance Performance Monitor) during voluntary weight displacement and Berg Balance Scale (BBS) were measured as functional balance and Timed Up and Go test (TUG) and Functional Ambulation Category (FAC) were assessed as functional walking. Results: SR in stance time and swing time was correlation with BBS, TUG and FAC (p<0.05). SR in SLST only with BBS (p<0.01), SR in step length only with FAC (p<0.05). SC in stance time was correlation with BBS and TUG (p<0.05). SC in swing time and SLST with BBS, TUG and FAC (p<0.01), SC in step length with TUG and FAC (p<0.01), SC in stride length with BBS and FAC (p<0.01). Conclusion: Gait symmetry in spatiotemporal gait parameters provides meaningful information about functional balance and walking performance in stroke subjects. Our analysis may support the recommendations of the symmetry criterion as equation for standardization of gait symmetry.

Evaluation of the Two Class Population Balance Equation for Predicting the Bimodal Flocculation of Cohesive Sediments in Turbulent Flow (난류조건에서의 점착성 유사 이군집 응집 모형 적용성 평가)

  • Lee, Byung Joon;Toorman, E.A.
    • Journal of Korea Water Resources Association
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    • v.48 no.3
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    • pp.233-243
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    • 2015
  • The bimodal flocculation of cohesive sediments in water environments describes the aggregation and breakage process developing a bimodal floc size distribution with dense flocculi and floppy flocs. A two class population balance equation (TCPBE) was tested for simulating the bimodal flocculation by a model-data fitting analysis with two sets of experimental data (low and high turbulent flows) from 1-D flocculation-settling column tests. In contrast to the Single-Class PBE (SCPBE), the TCPBE could simulate interactions between flocculi and flocs and the flocculation mechanism by differential settling in a low turbulent flow. Also, the TCPBE could perform the same quality of simulation as the elaborate Multi-Class PBE (MCPBE), with a small number of floc size classes and differential equations. Thus, the TCPBE was proven to be the simplest model that is capable of simulating the bimodal flocculation of cohesive sediments in water environments and water, wastewater treatment systems.

Energy-balance assessment of shape memory alloy-based seismic isolation devices

  • Ozbulut, O.E.;Hurlebaus, S.
    • Smart Structures and Systems
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    • v.8 no.4
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    • pp.399-412
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    • 2011
  • This study compares the performance of two smart isolation systems that utilize superelastic shape memory alloys (SMAs) for seismic protection of bridges using energy balance concepts. The first isolation system is a SMA/rubber-based isolation system (SRB-IS) and consists of a laminated rubber bearing that decouples the superstructure from the bridge piers and a SMA device that provides additional energy dissipation and re-centering capacity. The second isolation system, named as superelastic-friction base isolator (S-FBI), combines the superelastic SMAs with a flat steel-Teflon bearing rather than a laminated rubber bearing. Seismic energy equations of a bridge structure with SMA-based isolation systems are established by absolute and relative energy balance formulations. Nonlinear time history analyses are performed in order to assess the effectiveness of the isolation systems and to compare their performance. The program RSPMatch 2005 is employed to generate spectrum compatible ground motions that are used in time history analyses of the isolated bridge. Results indicate that SRB-IS produces higher seismic input energy, recoverable energy and base shears as compared to the S-FBI system. Also, it is shown that combining superelastic SMAs with a sliding bearing rather than rubber bearing significantly reduce the amount of the required SMA material.

A Study on the Weight Tare of an Internal Balance Including Translation of the Initial Loads (초기하중 전이를 고려한 내장형 밸런스의 WEIGHT TARE 연구)

  • Oh, Se-Yoon;Ahn, Seung-Ki
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.9
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    • pp.9-17
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    • 2003
  • In this paper, the weight tare calculation method including translation of initial loads is proposed to remove the internal balance component readings due to model weight. If the balance calibration equations are applied directly to the wind-on data without taking account these initial loads, then incorrect data will be obtained for all wind-on data calculations. The calculated model weights were compared with the actual model weights to verify the reliability of the proposed calculation technique. Also, discussions of the effects of the initial loads are given.