• Title/Summary/Keyword: equation of motion

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Model Development of Spray Dryer Absorber FGD Process (Spray Dryer Absorber 배연탈황공정의 모델 개발)

  • Jang, Sun-Hee;Oh, Eui-Kyung;Lee, Hyung-Keun;Kim, Sun-Geon
    • Clean Technology
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    • v.2 no.1
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    • pp.80-95
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    • 1996
  • A mathematical model has been developed for simulating the spray dryer absorber (SDA) used in semi-dry flue gas desulfurization process. Fundamental equations include the component mass and heat balances in both gas and droplet phases and the equation of motion for a single droplet. The model developed described the pilot-plant data much better than the existing SPRAYMOD-M model. The effect of the process variables, whose values were chosen within the operation limits of the actual pilot plants, on % $SO_2$ removal or conversion of the sorbent were calculated, and discussed in terms of $SO_2$ absorption rate, the residence time of flue gas, the velocity and drying time of droplets. Finally, the % $SO_2$ removal was calculated with two independent process variables and the results were shown on three-dimensional or two-dimensional diagrams with the lines of constant % $SO_2$ removal, so that they can be easily applied to preliminary design of the SDA.

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The Phase Space Analysis of 3D Vector Fields (3차원 벡터 필드의 위상 공간 분석)

  • Jung, Il-Hong;Kim, Yong Soo
    • Journal of Digital Contents Society
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    • v.16 no.6
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    • pp.909-916
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    • 2015
  • This paper presents a method to display the 3D vector fields by analyzing phase space. This method is based on the connections between ordinary differential equations and the topology of vector fields. The phase space analysis should be geometric interpolation of an autonomous system of equation in the form of the phase space. Every solution of it system of equations corresponds not to a curve in a space, but the motion of a point along the curve. This analysis is the basis of this paper. This new method is required to decompose the hexahedral cell into five or six tetrahedral cells for 3D vector fields. The critical points can be easily found by solving a simple linear system for each tetrahedron. The tangent curves can be integrated by finding the intersection points of an integral curve traced out by the general solution of each tetrahedron and plane containing a face of the tetrahedron.

Dynamical Predictions of the Structural Connection by the Reduced Approach (축약법에 의한 구조물 결합부의 동적 거동 예측)

  • Yun, Seong-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.27 no.6
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    • pp.589-596
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    • 2014
  • Joints, fasteners or connected parts frequently have a significant effect on the dynamical behavior of assembled mechanical structures. Therefore, the analytical prediction of structural responses depends on the accuracy of joint modeling. This paper deals with the formulation and analysis of dynamic mechanism for joint flexibilities whose relevant magnitudes of stiffnesses are investigated by using linear and torsional springs. The equation of motion is derived by using a generic joint in the middle of clamped-clamped beam. A reanalysis due to changes in magnitudes of joint stiffnesses is based on the reduced analysis where the binomial series terms are used as basis vectors. The solution procedures are straightforward and the method can be readily used with a general finite element method. The computational effort needed by this approach is usually much smaller than the effort needed for complete vibration analysis. Two numerical examples show that accurate results are obtained efficiently by reducing the number of degree in the reduced model.

Analysis of Rocket Booster Separation from Air-Breathing Engine with Kane's Method (Kane 다물체 동력학을 이용한 공기흡입식 추진기관 부스터 분리에 관한 연구)

  • Choi, Jong-Ho;Lim, Jin-Shik
    • Journal of the Korean Society of Propulsion Engineers
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    • v.13 no.3
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    • pp.41-49
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    • 2009
  • The present paper describes a mathematical modeling and simulation of the separation of a solid rocket booster from an air breathing engine vehicle. The vehicle and booster are considered as a multi-connected body and the booster is assumed to move only along the axial direction of the vehicle. The dynamic motion of the vehicle and the booster were modeled by using Kane's method. The aerodynamic forces on the whole system along various positions of booster were calculated by using DATCOM software and the internal pressure force acting on the effective surface during separation was simply calculated with gas dynamics and Taylor MacColl equation. Numerical simulation was done by using Mathworks-Matlab. From the result, the variation of Mach number and angle of attack are not large during the separation, so the variation of pitch angle and the characteristics of inlet flow for varying the Mach number and angle of attack during the separation test can be identified as neglectable values.

Effect of Bifurcation Angle on Blood Flow in Flexible Carotid Artery (유연한 경동맥 분지관에서 분지각이 혈액의 유동에 미치는 영향에 관한 연구)

  • Lee, Sang Hoon;Choi, Hyoung Gwon;Yoo, Jung Yul
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.37 no.3
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    • pp.229-235
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    • 2013
  • To investigate the effect of the flexible artery wall on the blood flow, three-dimensional numerical simulations were carried out for analyzing the time-dependent incompressible flows of Newtonian fluids constrained by a flexible wall. The Navier-Stokes equations for fluid flow were solved using the P2P1 Galerkin finite element method, and mesh movement was achieved using an arbitrary Lagrangian-Eulerian formulation. The Newmark method was employed for solving the dynamic equilibrium equations for the deformation of a linear elastic solid. To avoid complexity due to the necessity of additional mechanical constraints, we used a combined formulation that includes both the fluid and structure equations of motion to produce a single coupled variational equation. The results showed that the flexibility of the carotid wall significantly affects flow phenomena during the pulse cycle. The flow field was also found to be strongly influenced by the bifurcation angle.

Prediction of Hydrodynamic Coefficients for Underwater Vehicle Using Rotating Arm Test (강제선회시험을 이용한 수중운동체의 유체력 미계수 추정)

  • Jeong, Jae-Hun;Han, Ji-Hun;Ok, Jihun;Kim, Hyeong-Dong;Kim, Dong-Hun;Shin, Yong-Ku;Lee, Seung-Keon
    • Journal of Ocean Engineering and Technology
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    • v.30 no.1
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    • pp.25-31
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    • 2016
  • In this study, hydrodynamic coefficients were obtained from a Rotating Arm (RA) test, which is one of the captive model tests used to provide accurate coefficients in the control motion equation of an underwater vehicle. The RA test was carried out at the RA facility of ADD (Agency for Defense Development), and the forces and moments acting on the underwater vehicle were measured using a six-axis waterproof gage. A multiple regression analysis was used in the analysis of the measured data. The experimental results were also verified by comparison with the theoretical values of the previous linear coefficients. In addition, the stability indices in the horizontal plane were calculated using the linear and nonlinear coefficients, and the dynamic stability of the underwater vehicle was estimated to have a good dynamic performance with a depth ratio of 6.0.

Vibration Characteristics of Pipe Element Containing Moving Medium by a Transfer Matrix (전달행렬을 이용한 유동매체를 가진 배관요소의 진동특성 분석)

  • 이영신;천일환
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.1
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    • pp.366-375
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    • 1991
  • In this study, vibrational behavior of uniform pipe carrying a moving medium is studied by using a transfer matrix and the displacement function derived from the conventional beam theory. In various boundary conditions, flow velocity and mechanical property change of the variation of natural frequency are investigated. The Coriolis term in the original differential equation of motion has been ignored in the investigation. This method is used to study the variation of natural frequency with flow velocity for clamped-clamped, cantilevered, clamped-pinned, pinned-pinned, free-free straight pipe element. It is shown that clamped-clamped, free-free pipe have the highest natural frequency and critical velocity values while cantilevered pipe have the smallest natural frequency for the same mechanical properties. From the vibration effects of mechanical property variation, it is shown that bending stiffness and pipe length variation has large influence on natural frequency and critical velocity. Since the order of transfer matrix is not changed with boundary conditions of pipe element, this method proposed can be easily applied to personal-computer for vibration analysis of pipe element. Furthermore, this method can be extended to three-dimensional system by using a coordinate transformation for the analysis of piping systems.

A Study of Material Removal Characteristics by Friction Monitoring System of Sapphire Wafer in Single Side DMP (사파이어 웨이퍼 DMP에서 마찰력 모니터링을 통한 재료 제거 특성에 관한 연구)

  • Jo, Wonseok;Lee, Sangjik;Kim, Hyoungjae;Lee, Taekyung;Lee, Seongbeom
    • Tribology and Lubricants
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    • v.32 no.2
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    • pp.56-60
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    • 2016
  • Sapphire has a high hardness and strength and chemical stability as a superior material. It is used mainly as a material for a semiconductor as well as LED. Recently, the cover glass industry used by a sapphire is getting a lot of attention. The sapphire substrate is manufactured through ingot sawing, lapping, diamond mechanical polishing (DMP) and chemical mechanical polishing (CMP) process. DMP is an important process to ensure the surface quality of several nm for CMP process as well as to determine the final form accuracy of the substrate. In DMP process, the material removal is achieved by using the mechanical energy of the relative motion to each other in the state that the diamond slurry is disposed between the sapphire substrate and the polishing platen. The polishing platen is one of the most important factors that determine the material removal characteristics in DMP. Especially, it is known that the geometric characteristics of the polishing platen affects the material removal amount and its distribution. This paper investigated the material removal characteristics and the effects of the polishing platen groove in sapphire DMP. The experiments were preliminarily carried out to evaluate the sapphire material removal characteristics according to process parameters such as pressure, relative velocity and so on. In the experiment, the monitoring apparatus was applied to analyze process phenomena in accordance with the processing conditions. From the experimental results, the correlation was analyzed among process parameters, polishing phenomena and the material removal characteristics. The material removal equation based on phenomenological factors could be derived. And the experiment was followed to investigate the effects of platen groove on material removal characteristics.

A Study on the Diffuser Inlet Shape of Thermocompressor for MED Desalination Plant (다중효용 담수설비용 열압축기의 디퓨져 입구부 형상에 관한 연구)

  • Jin, Chang-Fu;Song, Young-Ho;Kim, Kyung-Keun;Park, Gi-Tae;Chung, Han-Shik;Choi, Du-Youl
    • Journal of Advanced Marine Engineering and Technology
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    • v.32 no.6
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    • pp.869-876
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    • 2008
  • A thermocompressor is the equipment which compresses a vapor to a desired discharge pressure. Since it was first used as the evacuation pump for a surface condenser, it has been widely adopted for energy saving systems due to its high working confidence. In the present study, the geometrical analysis of the shape between the jet nozzle and the diffuser inlet, the drag force was calculated by means of the integrated equation of motion and the computational fluid dynamic (CFD) package called FLUENT. The computer simulations were performed to investigate the effects by the various suction flow rates, the distance from jet nozzle outlet to the diffuser inlet and the dimensions of the diffuser inlet section through the iterative calculation. In addition, the results from the CFD analysis on the thermocompressor and the experiments were compared for the verification of the CFD results. In the case of a jet nozzle, the results from the CFD analysis showed a good agreement with the experimental results. Furthermore, in this study, a special attention was paid on the performance of the thermocompressor by varying the diffuser convergence angle of $0.0^{\circ}$, $0.5^{\circ}$, $1.0^{\circ}$, $2.0^{\circ}$, $3.5^{\circ}$ and $4.5^{\circ}$. With the increase of the diffuser convergence angle. the suction capacity was improved up to the degree of $1.0^{\circ}$ while it was decreased over the degree of $1.0^{\circ}$.

Modeling of Tidal and Wind-Driven Currents in Eastern Coastal Waters of the Yellow Sea (황해동측 연안성의 조류 및 풍성류 모형)

  • Ro, Young-Jae;You, Ik-Hwan
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.4 no.4
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    • pp.231-242
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    • 1992
  • This study uses a numerical model to investigate the circulation patterns of the tidal and wind driven current components. The model is vertically averaged 2-D transient using explicit nume-rical scheme, based on equation of motion and continuity. forced by water elevation at open boundaries and wind stress. The model domain extends from 35$^{\circ}$N to 36$^{\circ}$40'N lat., and 125$^{\circ}$E to 126$^{\circ}$40'E long. with x, y grid spacing of 5 km. The model reproduces the tide and tidal currents by 4 major constituents successfully with more than 90% accuracy when compared to two offshore tidal records and currents at one offshore measurements for 22 days. Responses of coastal waters to six schematic wind events are analyzed in terms of current distribution patterns and local features. Regardless of wind directions. strong coastal currents were produced. Bottom topography plays a critical role in producing a local eddy Held whose center is located offshore Pu An with its major radius of 40 km.

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