• Title/Summary/Keyword: Conservation Laws

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Propagation of Shock Waves in the Two-Phase Media (이상유동에서의 충격파 전파 특성)

  • Yeom Geum Su;Chang Keun Shik
    • 한국전산유체공학회:학술대회논문집
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    • 2004.10a
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    • pp.215-220
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    • 2004
  • A mathematical formulation based on two-phase, two-fluid hyperbolic conservation laws is developed to investigate propagation of shock waves in one- and two-dimensions. We used a high resolution upwind scheme called the split-coefficient matrix method. Two extreme cases are computed for validation of the computer code: the states of a pure gas and a pure liquid. Computed results agreed well with the previous experimental and numerical results. It is studied how the shock wave propagation pattern is affected by the void fraction in the two-phase flow. The shock structure in a two-phase flow turned out, in fact, much deviated from the shape well known in the gas only phase.

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A linear analysis of interfacial instabilities of ferrofluids (자기성 유체 계면의 선형안정성에 관한 연구)

  • Park, Chang-Ho;Ju, Sang-U;Lee, Sang-Chun
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.22 no.7
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    • pp.899-904
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    • 1998
  • Surface motion of a magnetic fluid is studied by a linear stability analysis. When a thin horizontal magnetic-fluid layer is placed on a nonmagnetic substrate, with a vertical magnetic field applied, the surface of the ferrofluid layer can be severely corrugated, due to the normal-field instability. Based on conservation laws, it is shown that the normal-field instability of thin ferrofluid layers is a long-wave instability and that it is analogous to the interfacial mode of the thermocapillary instability in a thin horizontal layer heated from below.

CFD-based simulation of fire-induced smoke and carbon monoxide transportation in the single compartment (CFD를 이용한 단일 구획 공간에서의 연기와 CO 확산 시뮬레이션)

  • Son, Yoon-Suk;Kim, Hyeong-Gweon;Oh, Hyung-Sik;Kim, Tae-Ok;Shin, Dong-Il
    • Proceedings of the Korea Institute of Fire Science and Engineering Conference
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    • 2008.04a
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    • pp.290-293
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    • 2008
  • In this study, the Computational Fluid Dynamics (CFD) has been used to analyze the smoke movement and the carbon monoxide concentration distribution, both vertically and longitudinally, in a compartment, based on conservation laws. The Fire Dynamics Simulator (FDS) developed by National Institute of Standards and Technology (NIST) was used for numerical simulations using Reynolds averaged Navier-Stokes equations (RANS) model to solve for time-averaged properties. Results show, as a function of time, a detailed distribution of temperature and carbon monoxide concentration changing against the height above the floor and those changes alongside the distance away from the fire source. Fire-induced smoke and toxic gases like CO are more dangerous in a confined space. The result of study may contribute in designing the smoke evacuation system based on the precise tenable condition.

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Analysis of Colloid Thrusters for Nano-satellite Propulsion (나노인공위성 추진용 콜로이드 추력기 해석)

  • Park, Kun-Joong;Kim, Ho-Young;Song, Seung-Jin
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2007.04a
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    • pp.175-178
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    • 2007
  • The mode transition from cone-jet to dripping in colloid thruster operation has been analytically investigated. The transition has been predicted by the dynamic behavior of a liquid drop at the tip of the cone-jet. Conservation laws are applied to determine the upward motion of the drop, and an instability model of electrified jets is used to determine the jet breakup. Finally, for the first time, the analysis enables prediction of the transition in terms of the Weber number and electric Bond number. The predictions are in good agreement with experimental data.

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Dynamics modeling of a GHP in cooling mode for development of control algorithm (제어 알고리즘 개발을 위한 GHP 냉방모드 동특성 모델링)

  • Shin Younggy;Kim Young Il
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.17 no.3
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    • pp.243-249
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    • 2005
  • The present study has been conducted to simulate dynamics of a gas engine-driven heat pump(GHP) for design of control algorithm. The dynamic modeling of a GHP was based on conservation laws of mass and energy. For automatic control of refrigerant pressures, actuators such as engine speed, outdoor fan, coolant three-way valves and liquid injection valve were PI or P controlled. The simulation results showed physical behavior that is realistic enough to apply for control algorithm design.

Filmwise Condensation of Freon Vapor Including Air on a Horizontal Tube (공기를 함유한 프레온 증기의 수평관 외부에서의 막응축)

  • Kim, K.H.;Ko, H.J.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.7 no.1
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    • pp.20-29
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    • 1995
  • A theoretical model for film condensation of a vapor including a relatively lighter noncondensable gas on a horizontal tube has been formulated on the basis of the conservation laws and other fundamental physical principles. The model is applied to the prediction of the condensation heat transfer characteristics for the Freon vapor in the presence of air on a horizontal tube. Calculated results for the mean heat transfer coefficient, which is shown to depend strongly on the bulk concentration of air, are in good agreement with the available experimental results for a range of operating conditions. The distributions of physical quantities along the surface of tube are also calculated, such as the boundary layer thickness and local heat transfer coefficient. The present model is readily reduced to the Nusselt model as the bulk concentration of air decreases to zero. Therefore, the transition from the condensation of pure vapor to that of vapor-air mixture occurs continuously not abruptly.

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A simple procedure to simulate the failure evolution

  • Chen, Zhen
    • Structural Engineering and Mechanics
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    • v.4 no.6
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    • pp.601-612
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    • 1996
  • To simulate the large-scale failure evolution with current computational facilities, a simple approach, that catches the essential feature of failure mechanisms, must be available so that the routine use of failure analysis is feasible. Based on the previous research results, a simple analysis procedure is described in this paper for failure simulation. In this procedure, the evolution of localization is represented by a moving surface of discontinuity, and the transition between continuous and discontinuous failure modes are described via the moving jump forms of conservation laws. As a result, local plasticity and damage models, that are formulated based on thermodynamic restrictions, are still valid without invoking higher order terms, and simple integration schemes can be designed for the rate forms of constitutive models. To resolve localized large deformations and subsequent cracking, an efficient structural solution scheme is given for Static and dynamic problems.

Effect of grain crushing on 1D compression and 1D creep behavior of sand at high stresses

  • Wang, Z.;Wong, R.C.K.
    • Geomechanics and Engineering
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    • v.2 no.4
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    • pp.303-319
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    • 2010
  • The effect of grain crushing on the deformation of sand in 1D compression and 1D creep at high stresses was investigated theoretically and experimentally. An approach was proposed to formulate the process of grain crushing in sand in accordance with the laws of fracture mechanics and energy conservation. With this approach, the relation between the void ratio and the amount of grains crushed in 1D compression was derived. Laboratory test data were used to verify this derived relation. In addition, it was observed that there are similarities in evolution of grain size distribution in 1D compression and 1D creep tests. This implies that the changes in microstructure in sand under 1D compression and 1D creep are comparable.

Dynamics Modeling of a Gas Engine-Driven Heat Pump in Cooling Mode

  • Shin Younggy;Yang Hooncheul;Tae Choon-Seob;Jang Cheol-Yong;Cho Soo
    • Journal of Mechanical Science and Technology
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    • v.20 no.2
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    • pp.278-285
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    • 2006
  • The present study has been conducted to simulate dynamics of a gas engine-driven heat pump (GHP) for design of control algorithm. The dynamics modeling of a GHP was based on conservation laws of mass and energy. For automatic control of refrigerant pressures, actuators such as engine speed, outdoor fans, coolant three-way valves and liquid injection valves were PI or P controlled. The simulation results were found to be realistic enough to apply for control algorithm design. The model can be applied to build a virtual real-time GHP system so that it interfaces with a real controller in purpose of prototyping control algorithm.

NUMERICAL COMPARISON OF WENO TYPE SCHEMES TO THE SIMULATIONS OF THIN FILMS

  • Kang, Myungjoo;Kim, Chang Ho;Ha, Youngsoo
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.16 no.3
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    • pp.193-204
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    • 2012
  • This paper is comparing numerical schemes for a differential equation with convection and fourth-order diffusion. Our model equation is $h_t+(h^2-h^3)_x=-(h^3h_{xxx})_x$, which arises in the context of thin film flow driven the competing effects of an induced surface tension gradient and gravity. These films arise in thin coating flows and are of great technical and scientific interest. Here we focus on the several numerical methods to apply the model equation and the comparison and analysis of the numerical results. The convection terms are treated with well known WENO methods and the diffusion term is treated implicitly. The diffusion and convection schemes are combined using a fractional step-splitting method.