• Title/Summary/Keyword: Mass conservation

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ADJOINT SYSTEM FOR A MAGNETO-CONVECTIVE FLOW IN AN ACTIVE MUSHY LAYER

  • Bhatta, Dambaru;Riahi, Daniel N.
    • Journal of applied mathematics & informatics
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    • v.29 no.5_6
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    • pp.1269-1283
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    • 2011
  • Here we consider magneto-convection in a mushy layer which is formed during solidification of binary alloys. The mushy layer is treated as an active porous media with variable permeability. The equations governing the layer are conservation of mass, conservation of heat, conservation of solute, magnetic induction equation, momentum equation governed by the Darcy's law and Maxwell's equations for the magnetic field. To study the second order effects on the flow without solving the second order system, we need to obtain the adjoint system for the flow. This motivates the authors we derive the adjoint system analytically for the mushy layer case. Numerical results of the adjoint system are presented for passive and active mushy layers at the onset of the motion using a set of parameters experimentalists use.

A Study on the Content Analysis of Practical Course Subject in Elementary School based on the Piaget’s Cognitive Developmental Theory (Piaget의 인지발달론에 기초한 국민학교 실과교과 내용분석(I) -만들기 영역을 중심으로-)

  • 정미경
    • Journal of Korean Home Economics Education Association
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    • v.6 no.2
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    • pp.133-145
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    • 1994
  • The purposes of this study are to investigate the relationship between the Piaget’s cognitive developmental theory and the practical course subject in elementary school which have the characteristics of skillful subject and living subject, and to discriminate the suitability of contents of the practical course subject for the childrens’level of cognitive development. This work could serve the theoretical background that the practical course subject presents practical experiences which lead the development of logicomathematical thinking abilities. The results of the content analysis shows that create activities develop the logicomathematical thinking abilities such as projective geometry, topology geometry, area conservation, length & distance conservation, and volume & mass conservation. And the most contents of the practical course subject are suitable for the childrens’level of cognitive development.

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Optimal Design of Serial Connected PZT driven Micro Compressor (직렬 연결된 PZT 구동 마이크로 압축기의 최적 설계)

  • Lee, Il-Hwan;Yoon, Jae-Sung;Kim, Min-Soo
    • Proceedings of the SAREK Conference
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    • 2005.11a
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    • pp.421-426
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    • 2005
  • Optimal design of serial connected PZT driven micro compressor was investigated. Modeling equations were derived using energy equation and mass conservation equation. The results show that mass flow rate was increased as number of connected micro compresses is increased. As pressure difference between suction port and discharge port in compressor group is increased, connected compressors have much more mass flow rate than single compressor. Mass flow rate is also increased as driving frequency is increased. And optimal design scale is suggested for highest efficiency or highest mass flow rate.

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A CONSERVATIVE NONLINEAR DIFFERENCE SCHEME FOR THE VISCOUS CAHN-HILLIARD EQUATION

  • Choo, S.M.;Chung, S.K.
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.53-68
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    • 2004
  • Numerical solutions for the viscous Cahn-Hilliard equation are considered using the Crank-Nicolson type finite difference method which conserves the mass. The corresponding stability and error analysis of the scheme are shown. The decay speeds of the solution in $H^1-norm$ are shown. We also compare the evolution of the viscous Cahn-Hilliard equation with that of the Cahn-Hilliard equation numerically and computationally, which has been given as an open question in Novick-Cohen[13].

Analysis of adhesive material for joining pottery fragments excavated from Duurlig Nars, Mongolia (몽골 도르릭나르스 유적 토기의 접합에 사용한 물질 분석)

  • Yun, Eunyoung;Kang, Hyungtae
    • Journal of Conservation Science
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    • v.30 no.1
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    • pp.33-38
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    • 2014
  • The adhesive material was found for joining pottery fragments from Duurlig Nars, Mongolia estimated in AD 1C. In this study, analysis of natural substance for joining fragments of pottery was performed using gas chromatograph and mass spectrometer. As a result, it was identified triterpenoid substances, such as lupeol and betulin which were known to constituents of birch bark tar. It was suggested that Mongolian used adhesives made by birch bark tar for joining pottery fragments. Therefore if organic materials of ancient objects are systematically researched, it can provide significant evidence related to the way of life of ancient people.

Conservation and Regeneration of Old Residential Block in Downtown - Focused on the 39~134 Namju-Dong Outside South Gate of Cheongju, Korea - (도심 옛 주거지의 보존 및 재생계획 - 청주 남문 밖 남주동 39~134번지의 블록을 중심으로 -)

  • Park, Sang Ah;Lee, Jun Beom;Kim, Tai Young
    • Journal of the Korean Institute of Rural Architecture
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    • v.26 no.3
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    • pp.19-28
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    • 2024
  • This study aims to find the conservation and regeneration plan in terms of preserving and utilizing old wooden houses, regenerating existing buildings, and developing idle land for old dwellings located outside the southern gate of Cheongju, Korea. In the preservation and utilization of old houses, three places in the block where wooden houses clustered are created as conservation houses, and are conversed as cafes, workspaces, and homestays along with the preservation of individual houses. In the regeneration of existing buildings, the street landscape was improved through extension and renovation, new construction after demolition, and exterior renovation for one or two-story buildings facing the roadside. In the development of idle land, it reflects the layout method and open yard space corresponding to the path and orientation of the old house, and the mass was varied and segmented to resolve the medium scale. Accordingly, considering the context, landscape, and environmental aspects of the historical downtown, the development of old dwellings in downtown should shift from a uniform high-rise apartment project-oriented approach to a gradual and continuous regeneration direction.

Cycle Simulation for the Performance Prediction of a High Pressure Unit Injection System of a Diesel Engine (디젤엔진용 고압분사 유닛인젝터의 성능예측을 위한 사이클 시뮬레이션)

  • 김철호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.9 no.1
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    • pp.63-74
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    • 2001
  • In this study, a cycle simulation program of a Unit-Injection(UI) system was developed to estimate the injection performance of newly designed injection system. A fundamental theory of the simulation program is based on the conservation law of mass. Loss of fuel mass in the system due to leakage, compressibility effect of the liquid fuel and friction loss in the control volume was considered in the algorithm f the program. For the evaluation of the simulation program developed, the experimental result which was offered by the Technical Research Center of Doowon Precision Industry Co. was incorporated. Two main parameters; the maximum pressure in the plunger chamber and total fuel mass(kg) injected into the engine cylinder per cycle, were measured and compared with the simulation results. It was found that the maximum error rate of the simulation result to the experimental output was less than 3% in the rated rotational speed (rpm) range of the plunger cam.

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Thermal-hydraulic simulation and evaluation of a natural circulation thermosyphon loop for a reactor cavity cooling system of a high-temperature reactor

  • Swart, R.;Dobson, R.T.
    • Nuclear Engineering and Technology
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    • v.52 no.2
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    • pp.271-278
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    • 2020
  • The investigation into a full-scale 27 m high, by 6 m wide, thermosyphon loop. The simulation model is based on a one-dimensional axially-symmetrical control volume approach, where the loop is divided into a series of discreet control volumes. The three conservation equations, namely, mass, momentum and energy, were applied to these control volumes and solved with an explicit numerical method. The flow is assumed to be quasi-static, implying that the mass-flow rate changes over time. However, at any instant in time the mass-flow rate is constant around the loop. The boussinesq approximation was invoked, and a reasonable correlation between the experimental and theoretical results was obtained. Experimental results are presented and the flow regimes of the working fluid inside the loop identified. The results indicate that a series of such thermosyphon loops can be used as a cavity cooling system and that the one-dimensional theoretical model can predict the internal temperature and mass-flow rate of the thermosyphon loop.

Dynamic Behaviors of the Impact Damper and the Accelerated Mass Loading (충격 댐퍼의 동특성과 가속 질량추가 현상에 대한 연구)

  • Wang, Se-Myung;Park, Jong-Chan
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.05a
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    • pp.396-401
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    • 2006
  • Dynamic behaviors of the impact damper are studied experimentally and numerically. In order to investigate wide range of excitation frequencies and amplitudes, a simple but high amplifying and bias-free experimental setup is designed. Experiments focused on the harsh operation condition demonstrate Accelerated mass loading which not only deteriorates the performance of the impact damper but also involves the structural resonance which should be avoided for the stability of the system. In the previous studies, instability or deterioration of the performance was reported for the off resonance frequency region. But this paper shows that the performance deterioration and structural resonances can be predicted. Using finite element modeling and analysis, accurate system parameters were derived and used for the numerical modeling employing the conservation of the momentum. Numerical study of the transient responses using 4th-order Runge-Kutta method demonstrates general performance of the system, and shows that accelerated mass loading phenomenon is deeply related with the vibration amplitudes and the mass of the auxiliary system.

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Development of a General Analytical Model for Desiccant Wheels (로터리 제습기의 일반 해석 모델)

  • Kim, Dong-Seon;Lee, Dae-Young
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.25 no.2
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    • pp.109-118
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    • 2013
  • The absence of a simple and general analytical model has been a problem in the design and analysis of desiccant-assisted air-conditioning systems. In this study, such an analytical model has been developed based on the approximate integral solution of the coupled transient ordinary differential equations for the heat and mass transfer processes in a desiccant wheel. It turned out that the initial conditions should be determined by the solution of four linear algebraic equations including the heat and mass transfer equations for the air flow as well as the energy and mass conservation equations for the desiccant bed. It is also shown that time-averaged exit air temperature and humidity relations could be given in terms of the heat and mass transfer effectiveness.