• Title/Summary/Keyword: conservation law

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A Study on the 3-D Unsteady State Heat Transfer Coupled by Conductive Currents (전기장 변화에 따른 3차원 비정상 상태 열전달 연계 해석에 관한 연구)

  • Kwac, L.K.;Kim, H.G.
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.17 no.1
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    • pp.29-34
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    • 2008
  • A modeling technique for the 2-way coupling of heat transfer and conduction currents has been performed to inspire a combined analytical simulation. The 3-D finite element method is used to solve steady conduction currents and heat generation in an aluminum film deposited on a silicon substrate. The model investigates the temperature in the device after the current is applied. The conservation equation of energy, the Maxwell equations for conduction currents, the unsteady state heat transfer equation and the Fourier's law for heat transfer are implemented as a bidirectionally coupled problem. It is found that the strongly coupled temperature and time dependent heat equations give a reasonable results and an explicit solving technique.

Numerical Study for the Effect of Expansion Device on the Performance of the $CO_2$ Cycle (이산화탄소 사이클에서 팽창장치의 영향에 관한 수치적 연구)

  • 김무근;김욱중;김유진
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.16 no.1
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    • pp.84-90
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    • 2004
  • In order to evaluate the performance of carbon dioxide cycle, a simulation model was developed to predict the steady state performance of $CO_2$ transcritical cycle. The expansion process is treated as an isenthalpic throttling process or isentropic expansion process. The mathematical model is based entirely on the basic energy conservation law and thermodynamic and transport properties of $CO_2$. A Parametric study has been conducted in order to investigate the effect of isentropic efficiency of expansion turbine and various operating conditions on the cycle performance. An optimal heat rejection pressure existed for the given evaporating temperature and outlet temperature of gas cooler.

ADAPTIVE GRID SIMULATION OF HYPERBOLIC EQUATIONS

  • Li, Haojun;Kang, Myungjoo
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.17 no.4
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    • pp.279-294
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    • 2013
  • We are interested in an adaptive grid method for hyperbolic equations. A multiresolution analysis, based on a biorthogonal family of interpolating scaling functions and lifted interpolating wavelets, is used to dynamically adapt grid points according to the physical field profile in each time step. Traditional finite-difference schemes with fixed stencils produce high oscillations around sharp discontinuities. In this paper, we hybridize high-resolution schemes, which are suitable for capturing singularities, and apply a finite-difference approach to the scaling functions at non-singular points. We use a total variation diminishing Runge-Kutta method for the time integration. The computational cost is proportional to the number of points present after compression. We provide several numerical examples to verify our approach.

Ghost Junction Method for Flow Network System Analyses (유동망 시스템 해석을 위한 유령 정션 기법)

  • Hong, Seok-Woo;Kim, Chong-Am
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03b
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    • pp.626-629
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    • 2008
  • Numerical predictions on flow phenomena in pipe network systems have been considered as playing an important role in both designing and operating various facilities of piping or duct systems, such as water supply, tunnel or mine ventilation, hydraulic systems of automobile or aircraft, and etc. Traditionally, coupling conditions between junction and connected branches are assumed to satisfy conservation law of mass and to share an equal pressure at junction node. However, the conventional methodology cannot reflect momentum interactions between pipes sufficiently. Thus, a new finite volume junction treatment is proposed both to reflect the interchanges of linear momentums between neighbor branches at junction and to include the effect of wall at junction in present work.

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Numerical Analysis of the Differential Pressure Venturi-cone Flowmeter (차압식 Venturi-cone 유량계에 대한 유동해석)

  • Yoon J. Y.;Maeng J. S.;Lee J. W.
    • 한국전산유체공학회:학술대회논문집
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    • 1997.10a
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    • pp.143-148
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    • 1997
  • Differential pressure Venturi cone flowmeter is an advanced flowmeter which has many advantages such as wide range of measurement, high accuracy, excellent flow turndown ratio, low headless, and short installation pipe length requirement, etc. Like other differential pressure flowmeter, Venturi cone flowmeter uses the law of energy conservation, but its shape and position make it perform better than others. The cone acts as its own flow conditioner and mixer, fully conditioning and mixing the flow prior to measurement. For the analysis, we use Reynolds-averaged Navier-Stokes equations and $k-{\omega}$ turbulence model. The equations are fully trans-formed in the computational coordinates, the pressure-velocity coupling is made through SIMPLER algorithm, and the equations are discretized using analytic solutions of the linearized equations(Finite Analytic Method). At the end of the paper, using the result of analysis, We propose a new shape of cone with the hope of drag reduction and high performance.

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Thermo-elastic Frictional Contact Analysis of Airplane Brakes (항공기 제동장치의 열탄성 마찰 접촉 해석)

  • Lee, Chang-Won;Choi, Yong-Gie;Kwak, Byung-Man
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.889-894
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    • 2001
  • A three dimensional transient thermo-elastic frictional contact analysis of airplane brakes is performed. The velocity history of the airplane during braking is calculated from energy conservation law. ABAQUS code is used in the analysis, and user subroutines supported in the ABAQUS are coded to calculate the frictional heat generation between pads and linings attached to back/pressure plate and rotor, respectively. Numerical results are compared with experimental ones.

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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.

Comparative Analysis of the Parabolic and Hyperbolic Heat Conduction and the Damped Wave in a Finite Medium (유한한 평판에서 포물선형 및 쌍곡선형 열전도 방정식과 파동 방정식의 비교 해석)

  • Park, S.K.;Lee, Y.H.
    • Journal of Power System Engineering
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    • v.3 no.3
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    • pp.14-21
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    • 1999
  • The wave nature of heat conduction has been developed in situations involving extreme thermal gradients, very short times, or temperatures near absolute zero. Under the excitation of a periodic surface heating in a finite medium, the hyperbolic and parabolic heat conduction equations and the damped wave equations in heat flux are presented for comparative analysis by using the Green's function with the integral transform technique. The Kummer transformation is also utilized to accelerate the rate of convergence of these solutions. On the other hand, the temperature distributions are obtained through integration of the energy conservation law with respect to time. For hyperbolic heat conduction, the heat flux distribution does not exist throughout all the region in a finite medium within the range of very short times(${\xi}<{\eta}_l$). It is shown that due to the thermal relaxation time, the hyperbolic heat conduction equation has thermal wave characteristics as the damped wave equation has wave nature.

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Development of New Conceptual Ventilation Graphs for Mechanically Ventilated Livestock Buildings (畜舍의 換氣量 決定을 위한 새로운 換氣그래프 開發)

  • Choi, Hong-Lim;Kim, Woo-Joong;Kim, Hyeon-Tae
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.33 no.3
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    • pp.91-100
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    • 1991
  • Since ventilation in livestock buildings is critical for indoor air quality, the first step in designing environmental control is to determine required ventilation rate. The purpose of the study was to suggest a conceptually new ventilation graph for determining minimum/maximum ventilation rate based on the conservation law of the thermal energy and mass in livestock buildings. PC-based programs coded with PASCAL language, [RVALUE] for overall thermal resistance of composite structural walls/ceilings, [POLYNOM] for coefficients values of animal's sensible heat equation were involved in developing a computer program, [VENTGRPH] for the determination of ventilation rate. It would be useful for design, for such a program would permit the designer to explore various design options and immediately, see the result in terms of its effect on minimum ventilation rates.

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Definition of Powers and Power Quality Factors at a Point of Common Coupling in Single-Phase Systems and Three-Phase Systems

  • Kim, Hyosung;Frede Blaabjerg;Jensen, Birgitte-Bak
    • Journal of Power Electronics
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    • v.2 no.1
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    • pp.32-45
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    • 2002
  • This paper proposes an unified definition of powers for various circuit conditions such as balanced/unbalanced, sinusoidal/non-sinusoidal, and linear/nonlinear, fur single-phase systems and three-phase systems. Conventional reactive power is more classified into an interactive power and an alternating power. These powers are defined both in the time domain and the frequency domain consistently, and agree well with the conservation law. Several important power quality factors are defined to measure and evaluate the power quality fur the various circuits in the single-phase and three-phase systems. Simulation results show the power quality factors can evaluate and classify the various circuit conditions clearly.