• Title/Summary/Keyword: balance law

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WELL-BALANCED ROE-TYPE NUMERICAL SCHEME FOR A MODEL OF TWO-PHASE COMPRESSIBLE FLOWS

  • Thanh, Mai Duc
    • Journal of the Korean Mathematical Society
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    • v.51 no.1
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    • pp.163-187
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    • 2014
  • We present a multi-stage Roe-type numerical scheme for a model of two-phase flows arisen from the modeling of deflagration-to-detonation transition in granular materials. The first stage in the construction of the scheme computes the volume fraction at every time step. The second stage deals with the nonconservative terms in the governing equations which produces states on both side of the contact wave at each node. In the third stage, a Roe matrix for the two-phase is used to apply on the states obtained from the second stage. This scheme is shown to capture stationary waves and preserves the positivity of the volume fractions. Finally, we present numerical tests which all indicate that the proposed scheme can give very good approximations to the exact solution.

Theoretical Analysis of Steady State Low Current Arcs in Dual Flow Nozzles

  • Song, K.D.;Shin, Y.J.;Lee, H.S.;Kim, K.S.
    • Proceedings of the KIEE Conference
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    • 1992.07b
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    • pp.952-957
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    • 1992
  • When the circuit-breaker switches off, an electric arc is established between the contacts. It is very important to understand the arc characteristics for the design of a circuit breaker. This article describes the theoretical analysis of the arc characteristics by means of energy integral method when convection dominated low current arcs are produced in the dual-airflow nozzle of a model interrupter. In order to investigate the arc radius, the average electric field strength and the arc voltage, the arc column is divided into two regions, and then the energy conservation equation is applied to the arc in each region together with the axial cold flow mass flux function, steady-state mass balance equation and Ohm's law. The results show good agreements with those of other researchers.

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Analysis of Connecting Rod Bearings Using Mass-Conserving Boundary Condition (유량 보존 경계 조건을 적용한 커넥팅 로드 베어링의 성능 해석)

  • 김병직;김경웅
    • Tribology and Lubricants
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    • v.14 no.3
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    • pp.39-45
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    • 1998
  • Reynolds equation, which describes behavior of fluid film in journal bearings, basically satisfies mass conservation. But, boundary conditions usually used with this equation, e.g. half Sommerfeld or Reynolds boundary conditions, cannot fulfill this natural law of conservation. In the case of connecting rod bearing, where applied load is dynamic and its magnitude is relatively large, such unrealistic boundary conditions have serious influence on calculation results, especially on lubricant flow rate or power disspation which are important parameters in thermal analysis. In this paper, mass-conserving boundary condition was applied in the finite element analysis of connecting rod bearings. Lubricant flow rate and power dissipation rate were calculated together with journal center locus, minimum film thickness and maxmium film pressure. These computation results were compared with those of the case of Reynolds boundary condition. Balance between inlet and outlet flow rate was well achieved in the case of mass-conserving boundary condition.

A Conceptual Two-Layer Model of Thermohaline Circulation in a Pie-Shaped $\beta$-Plane Basin

  • Park, Young-Gyu
    • Journal of the korean society of oceanography
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    • v.38 no.1
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    • pp.11-16
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    • 2003
  • The three dimensional structure of thermohaline circulation in a D-plane is investigated using a conceptual two layer model and a scaling argument. In this simple model, the water mass formation region is excluded. The upper layer represents the oceans above the main thermocline. The lower layer represents the deep ocean below the thermocline and is much thicker than the upper layer. In each layer, geostrophy and the linear vorticity balance are assumed. The cross interfacial velocity that compensates for the deep water mass formation balances downward heat diffusion from the top. From the above relations, we can determine the thickness of the upper layer, which is the same as thermocline depth. The results we get is basically the same as that we get for an f-plane ocean or the classical thermocline theory. Mass budget using the velocity scales from the scaling argument shows that western boundary and interior transports are much larger than the net meridional transport. Therefore in the thermohaline circulation, horizontal circulation is much stronger than the vertical circulation occuring on a meridional plane.

CFD Simulation Tool for Anode-Supported Flat-Tube Solid Oxide Fuel Cell

  • Youssef M. Elsayed.;Lim, Tak-Hyoung;Song, Rak-Hyun;Lee, Seung-Bok;Shin, Dong-Ryul
    • Journal of the Korean Electrochemical Society
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    • v.9 no.4
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    • pp.151-157
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    • 2006
  • A two-dimensional numerical model to study the performance of anode-supported flat-tube solid oxide fuel cell (SOFC) far the cross section of the cell in the flow direction of the fuel and air flows is developed. In this model a mass and charge balance, Maxwell-Stefan equation as well as the momentum equation by using, Darcy's law are applied in differential form. The finite element method using FEMLAB commercial software is used for meshing, discritization and solving the system of coupled differential equations. The current density distribution and fuel consumption as well as water production are analyzed. Experimental data is used to verify a predicted voltage-current density and power density versus current density to judge on the model accuracy.

A Note on the Relationships among the Queue Lengths at Various Epochs of a Queue with BMAP Arrivals

  • Kim, Nam K;Chae, Kyung C;Lee, Ho W
    • Management Science and Financial Engineering
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    • v.9 no.2
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    • pp.1-12
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    • 2003
  • For a stationary queue with BMAP arrivals, Takine and Takahashi [8] present a relationship between the queue length distributions at a random epoch and at a departure epoch by using the rate conservation law of Miyazawa [6]. In this note, we derive the same relationship by using the elementary balance equation, ‘rate-in = rate-out’. Along the same lines, we additionally derive relationships between the queue length distributions at a random epoch and at an arrival epoch. All these relationships hold for a broad class of finite-as well as infinite-capacity queues with BMAP arrivals.

Theoretical Calculation of Parabolic Rate Constant for High-Temperature Oxidation of Metals (금속의 고온 산화동안 포물선 속도상수의 이론적 계산)

  • Kim, Insoo;Cho, Weol Dong
    • Journal of the Korean Society for Heat Treatment
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    • v.14 no.5
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    • pp.282-285
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    • 2001
  • Based on the mass balance of anion and cation fluxes, the parabolic rate constant ($K_p$) of oxide grown during the high-temperature oxidation of metal is theoretically calculated. It is assumed that the diffusion of oxygen anion and metal cation through oxide scale obeys the Fick's 1st law, the growth of oxide is controlled by the diffusion of ions, electrical potential gradient as driving force for diffusion of ions is ignored, and oxidation occurs within an existing oxide layer. Then, the parabolic rate constant can be expressed by $K_p=[2{\rho}_{MmOn}{M^2}_{MmOn}(mD_oC_o{^e}+nD_MC_M{^e})/nm]$.

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A Study on Neutral Atom Heating in Inductively Coupled Plasma

  • Seo, Byeong-Hun;Yu, Sin-Jae;Kim, Jeong-Hyeong;Seong, Dae-Jin;Jang, Hong-Yeong
    • Proceedings of the Korean Vacuum Society Conference
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    • 2012.02a
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    • pp.178-178
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    • 2012
  • Neutral atom temperature was measured by Laser Rayleigh scattering method using neutral depletion by neutral heating with ideal gas law in Inductively coupled plasma. We observed sudden pressure change when plasma is turned on and off. We analyzed mechanism of neutral heating by employing zero-dimensional neutral and ion energy balance model simultaneously. The results showed that neutral atom temperature increase with ion density. The mechanism of neutral atom heating and cooling is mainly dominated by ion-neutral collision including elastic and charge-exchange collision and by wall cooling respectively.

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- A Study on Development of Safety Diagnostic valuation of the City-gas Facilities Using AHP - (AHP를 활용한 도시가스 산업시설의 안전진단평가표 개발에 관한 연구)

  • Yang Kwang Mo;Jun Hyun Jong;Kang Kyong Sik
    • Journal of the Korea Safety Management & Science
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    • v.6 no.4
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    • pp.25-37
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    • 2004
  • Safety diagnostic indicator pointer can divide by greatly two. One is management (Software) side that one that differ with mechanical (Hardware) side that handle laying stress on equipment connected with safety manages organization and management connected with safety. Weight appropriates according to specific gravity that relevant element occupies in facilities. To give so big value in particular element in grant of weight pays attention because break balance of whole guideline and should gives. Finally, efficient safety net may see effect before self-regulation inside by minimum target establishment using AHP by government and legal, systematic countermeasure establishment for this, strict law application and each business proprietor and though activity and user's active safety activity forms harmony properly.

A Brief histor of Pollution and the Present Situation of the environment measuring Certifiers in Japan (일본에 있어서의 공해의 역사와 환경 계획증명사업의 현황에 대하여)

  • Shinobu-Miyagine
    • Proceedings of the Korean Professional Engineer Association Conference
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    • 1983.12a
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    • pp.74-77
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    • 1983
  • To attain the rich and comfortable human living, much development and economic growth are needed. But the radical development destroys natural environments or resources, and also the life environments are destroyed. How to maintain the balance between development and environments forms an important problem. Since 1955, a great deal of damage has been done to human being by the pollution of air, water or noise in Japan, for example, Minamata-byo (1956), arsenical poisoning by mkil (1955), Cd-I taiitai-byo (1955), asthma by air pollution, etc. Now, there are over 100,000 sick persons suffering from pollution in Japan. To prevent the pollution, the first act was made 1967, the kind of which were defined as follow:air, water, soil, noise, vibration ground subsidence, and bad smell. Laws on these were established 1970∼1981, and the environments here ave gradually being improved. The mentioned above gituation necsesitates the measuring or chemical analysis of pollution data, but the many cost is necessary to obtain such data. The special environment measuring certifier was needed and the Measurement Law was amended 1974. Some comment will be given of the present condition of environmental measuring certifier.