• 제목/요약/키워드: Moment balance equation

검색결과 18건 처리시간 0.023초

튜브형 가열로 반응기를 이용한 초미립 $SiO_2$ 입자의 제조 및 증착에 대한 수치모사 (The Numerical Simulation of Ultrafine $SiO_2$ Particle Fabrication and Deposition by Using the Tube Furnace Reactor)

  • 김교선;현봉수
    • 한국세라믹학회지
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    • 제32권11호
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    • pp.1246-1254
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    • 1995
  • A numerical model for fabrication and deposition of ultrafine SiO2 particles were proposed in the simplified horizontal MCVD apparatus using tube furnace reactor. The model equations such as energy and mass balance equations and the 0th, 1st and 2nd moment balance equations of aerosols were considered in the reactor. The phenomena of SiCl4 chemical reaction, SiO2 particle formation and coagulation, diffusion and thermophoresis of SiO2 particles were included in the aerosol dynamic equation. The profiles of gas temperature, SiCl4 concentration and SiO2 particle volume were calculated for standard conditions. The concentrations, sizes and deposition efficiencies of SiO2 particles were calculated, changing the process conditions such as tube furnace setting temperature, total gas flow rate and inlet SiCl4 concentration.

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테일러 반응기 내의 입자응집과 분해에 관한 수치 연구 (Numerical Study of Aggregation and Breakage of Particles in Taylor Reactor)

  • 이승훈;전동협
    • 대한기계학회논문집B
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    • 제40권6호
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    • pp.365-372
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    • 2016
  • 전산유체역학(CFD)을 이용하여 테일러 반응기 내 입자간 응집과 분해반응을 고려한 유동해석을 수행하였다. 입자크기분포를 파악하기 위하여 모멘트 적분법(QMOM)을 이용하여 집합체 균형방정식(Population Balance Equation)을 계산하였다. 초기 여섯 개의 모멘트를 이용하였으며, 응집커널은 Brownian kernel 과 turbulent kernel의 합을, 그리고 분해커널은 멱법칙 커널(power-law kernel)을 사용하였다. 입자의 초기 부피분율에 따른 최종 입자크기를 예측하였다. 그 결과, 초기 부피분율이 증가할수록 입자의 크기와 초기 성장속도가 증가하는 것을 확인하였다.

등하중지지대의 캠 윤곽 설계 (Design of Cam Contour for Constant Hangers)

  • 이건명;박문수
    • 대한기계학회논문집A
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    • 제35권6호
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    • pp.669-675
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    • 2011
  • 등하중지지대는 플랜트의 배관을 지지하는 장치로서 열팽창으로 인하여 배관이 움직이더라도 배관에 일정한 힘을 제공하는 역할을 한다. 본 논문에서는 등하중지지대의 캠 윤곽을 설계하는 방법을 제안하였다. 캠의 윤곽은 캠의 기하학적 관계식, 부하 튜브의 힘 평형식, 보조스프링의 압축력과 캠의 회전각 사이의 관계식, 그리고 캠의 모멘트 평형식을 만족하여야 함을 보였고, 이 방정식들을 연립하여 푸는 계산 과정을 제안하였다. 이 계산 과정을 사용하여 요구하는 조건을 만족하는 등하중지지대의 캠을 설계하였다.

Numerical analysis of particle transport in low-pressure, low-temperature plasma environment

  • Kim, Heon Chang
    • 한국입자에어로졸학회지
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    • 제5권3호
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    • pp.123-131
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    • 2009
  • This paper presents simulation results of particle transport in low-pressure, low-temperature plasma environment. The size dependent transport of particles in the plasma is investigated with a two-dimensional simulation tool developed in-house for plasma chamber analysis and design. The plasma model consists of the first two and three moments of the Boltzmann equation for ion and electron fluids respectively, coupled to Poisson's equation for the self-consistent electric field. The particle transport model takes into account all important factors, such as gravitational, electrostatic, ion drag, neutral drag and Brownian forces, affecting the motion of particles in the plasma environment. The particle transport model coupled with both neutral fluid and plasma models is simulated through a Lagrangian approach tracking the individual trajectory of each particle by taking a force balance on the particle. The size dependant trap locations of particles ranging from a few nm to a few ${\mu}m$ are identified in both electropositive and electronegative plasmas. The simulation results show that particles are trapped at locations where the forces acting on them balance. While fine particles tend to be trapped in the bulk, large particles accumulate near bottom sheath boundaries and around material interfaces, such as wafer and electrode edges where a sudden change in electric field occurs. Overall, small particles form a "dome" shape around the center of the plasma reactor and are also trapped in a "ring" near the radial sheath boundaries, while larger particles accumulate only in the "ring". These simulation results are qualitatively in good agreement with experimental observation.

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연소반응을 이용한 TiO2 초미립자 제조 공정에 대한 이론적 연구 (Theoretical Analysis on the Synthesis of Ultrafine TiO2 Particles by Combustion Reaction)

  • 채범산;김교선
    • 산업기술연구
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    • 제17권
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    • pp.241-247
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    • 1997
  • A numerical model has been proposed for a diffusion flame reactor to manufacture ultrafine $TiO_2$ powders. The model equations such as mass balance equation, the 0th, 1st, and 2nd moment equations of aerosols were considered. The phenomena such as $TiCl_4$ reaction rate, $TiO_2$ nucleation rate and the coagulation of $TiO_2$ powders were included in the aerosol dynamic equation. It is found that the $TiO_2$ particle concentration becomes higher, as the inlet $TiCl_4$ concentration and the total gas flow rate increase, and also as the flame temperature decreases. The $TiO_2$ particle size increases, as the flame temperature and the inlet $TiCl_4$ concentration increase and the total gas flow rate decreases.

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한국인 20대 청년 인체분절의 관성특성에 관한 연구 (Biodynamic Characteristics of Korean Male in Twenties-Mass, Center of Mass and Moment of Inertia Characteristics of Body Segments)

  • 이영신;임현균;김철중
    • 대한기계학회논문집
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    • 제18권8호
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    • pp.1952-1966
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    • 1994
  • The body segment parameters of twelve young male Korean were measured to compare with the results of foreign cadaver studies. A human body was assumed to have fourteen body segments. The mass of each segment was measured with a water immersion test and the mass center of a segment was determined on the balance platform by changing postures. In the case of Korean, because of the difference in body proportion, the mass center of whole-body is located further from the distal end of head(Korean : 44.9% vs. Caucasian : 41.2%), and the mass center of each segment also located in different proportional locations. The existing regression equations, which can estimate segment mass based upon the anthropometric dimensions, estimates segment mass (the mass of shank) for Korean with 13% error. Therefore, it is not recommended to estimate the mass, and the moment of inertia of body segment of Korean based on the existing equations. However, the density information of body constituents was similar enough to apply it to Korean density. It was validated by the comparison between the results of the direct immersion method and 3-dimensional volume reconstruction of segment form the cross sectional images of CT-scan. The average body density measured form twelve subjects was $1.035{\;}kg/m^3$ and showed deceasing trendency.

관성모멘트의 균형을 이용하는 간접구동관절을 갖는 로보트아암의 각위치 제어를 위한 가변구조제어기의 다중 제어법칙 설계 (The multiple Control Law Design of the Variable Structure Control for Angular Position Control of the Robot Arm with an Indirect Driving Joint Using Balance of the Inertial Moment)

  • 김중완;강대기
    • 한국정밀공학회지
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    • 제13권2호
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    • pp.76-83
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    • 1996
  • We have developed the unconventional robot arm which is composed of the two main parts, one is a ball screw and the other is a robot arm. The dynamic systems of the robot arm and ball screw are unstable systems coupled with each other. The ball screw mechanism is unstable system but controllable system. The robot arm's dynamics is quasi stable system when ball screw's angular position is zero, else, unstable system. Our system has the duality between stability and controllability at the view point of control. This duality causes difficulty to control of the robot arm using normal control law. We have investigated the location of the characteristic roots of the dynamic equation. And we have found out that the best condition for the control of the arm is quasi stable state. In this paper, we have proposed multiple control laws which are consist of three components to guarantee the stability and controllability simultaneously. The computer simulations were carried out based on VSC about the angular position control of the robot arm, and it is confirmed that the good performances could be obtained by using new controller.

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미케니컬 페이스 실의 유활 최적설계 (A Lubrication Design Optimization of Mechanical Face Seal)

  • 최병렬;이안성;최동훈
    • 대한기계학회논문집A
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    • 제24권12호
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    • pp.2989-2994
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    • 2000
  • A mechanical face seal is a tribo-element intended to control leakage of working fluid at the interface of a rotating shaft and its housing. Leakage of working fluid decreases drastically as the clearance between mating seal faces gets smaller. But the very small clearance may result in an increased reduction of seal life because of high wear and heat generation. Therefore, in the design of mechanical face seals a compromise between low leakage and acceptable seal life is important, ant it present a difficult and practical design problem. A fluid film or sealing dam geometry of the seal clearance affects seal lubrication performance very much, and thereby is optimization is one of the main design consideration. in this study the Reynolds equation for the sealing dam of mechanical face seals is numerically analyzed, using the Galerkin finite element method, which is readily applied to various seal geometries, to give lubrication performances, such as opening force, restoring moment, leakage, and axial and angular stiffness coefficients. Then, to improve the seal performance an optimization is performed, considering various design variables simultaneously. For the tested case the optimization ha successfully resulted in the optimal design values of outer and inner seal radii, coning, seal clearance, and balance radius while satisfying all the operation subjected constraints and design variable side-constraints, and improvements of axial and angular stiffness coefficients by 16.8% and 2.4% respectively and reduction of leakage by 38.4% have been achieved.