• Title/Summary/Keyword: Distribution Balance Equation

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EHL Analysis of Ball Bearing for Rough Surface With the FlowFactor (FlowFactor를 이용한 볼베어링의 탄성유체윤활해석)

  • Lee, Byung-Wook;Moon, Seok-Man;Kim, Tae-Wan;Cho, Yong-Joo
    • Tribology and Lubricants
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    • v.27 no.6
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    • pp.326-331
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    • 2011
  • The purpose of this paper is to analyze and discuss the effects of surface roughness by comparing the elastohydrodynamic lubrication(EHL) analysis of smooth surface and rough surface as the ball bearing. In order to do this, The average flow model is adapted for the interaction of the flow rheology of lubricant and surface roughness. The average Reynolds equation and the related flow factor which describes the coupled effects of surface roughness and flow rheology, the viscosity-pressure and density-pressure relations equations, the elastic deformation equation, and the force balance equation are solved simultaneously. The results show that effects of surface roughness on the film thickness and pressre distribution should be considered especially in EHL contact problems.

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.

Radiation Power Control by Means of Absorptive Material Arrangement in an Enclosure (흡음재 배치를 통한 닫힌 공간에서의 소음원 방사 파워 제어)

  • 조성호;김양한
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.688-691
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    • 2004
  • We have studied the possibility of global noise reduction by the sound power control through selection of distribution and impedance of absorptive materials. It is necessary to investigate the relation between the global sound energy in the field and the total sound power radiated by sources. In the previous work (1,2), the authors presented a useful design method to change boundary condition that can be useful to reduce noise in acoustically small enclosures. The possibility of total acoustic potential energy reduction by acoustic source power control is examined in an acoustically small cavity. Using acoustic energy balance equation, the relation between global noise control performance and absorptive material's arrangement/impedance is deduced. Numerical simulation is performed to interpret its physical meaning in terms of absorbent's distribution and impedance.

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An investigation into the thermo-elasto-hydrodynamic effect of notched mechanical seals

  • Meng, Xiangkai;Qiu, Yujie;Ma, Yi;Peng, Xudong
    • Nuclear Engineering and Technology
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    • v.54 no.6
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    • pp.2173-2187
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    • 2022
  • A 3D thermo-elasto-hydrodynamic model is developed to analyze the sealing performance of a notched mechanical seal applied in the reactor coolant pump. In the model, the generalized Reynolds equation, the energy equation coupled with notch heat balance equation, the heat conduction equations, and the deformation equations of the sealing rings are iteratively solved by the finite element method. The film pressure and temperature distribution are obtained, and the deformation of the sealing rings is revealed to study the mechanism of the notched mechanical seals. A parameterized study is conducted to analyze the sealing performance under different operating conditions. As a comparison, the sealing performance of non-notched seals is also studied. The results show that the hydrostatic effect is dominant in the load-carrying capacity of the fluid film due to the radial mechanical and thermal deformations. The notch can cool the fluid film and influence the thermal deformation of seal rings. The sealing performance is sensitive to the pressure difference, ambient temperature, and rotational speed. It is suggested to set the notches on the softer sealing rings to acquire the greater hydrodynamic effect. Compared with the non-notched, the notched end face holds a better lubrication performance, especially under lower rotational speed.

Factor of safety in limit analysis of slopes

  • Florkiewicz, Antoni;Kubzdela, Albert
    • Geomechanics and Engineering
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    • v.5 no.5
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    • pp.485-497
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    • 2013
  • The factor of safety is the most common measure of the safety margin for slopes. When the traditionally defined factor is used in kinematic approach of limit analysis, calculations can become elaborate, and iterative methods have to be used. To avoid this inconvenience, the safety factor was defined in terms of the work rates that are part of the work balance equation used in limit analysis. It was demonstrated for two simple slopes that the safety factors calculated according to the new definition fall close to those calculated using the traditional definition. Statistical analysis was carried out to find out whether, given normal distribution of the strength parameters, the distribution of the safety factor can be approximated with a well-defined probability density function. Knowing this function would make it convenient to calculate the probability of failure. The results indicated that the normal distribution could be used for low internal friction angle (up to about $16^{\circ}$) and the Johnson distribution could be used for larger angles ${\phi}$. The data limited to two simple slopes, however, does not allow assuming these distributions a priori for other slopes.

A Three-Dimensional Nodal Diffusion Code Based on the AFEN Methodology (해석함수전개 노달방법에 기초한 3차원 노달확산 코드)

  • Hong, Ser-Gi;Cho, Nam-Zin;Noh, Jae-Man
    • Nuclear Engineering and Technology
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    • v.27 no.6
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    • pp.870-876
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    • 1995
  • In this paper, a new three-dimensional nodal diffusion code which is based on the AFEN methodology is described and tested. The method expands the homogeneous flux within a node in ter-ms of eighteen analytic basis functions satisfying the diffusion equation at any point of the node. And the nodal coupling equations are derived such that nodal balance, current continuity and leakage balance within an infinitesimally small box around the edge are satisfied. To verify its accuracy, the code was applied to the well-known static LMW benchmark problem and a small core benchmark problem that has the same material properties as the three-dimensional IAEA benchmark problem and compared with two other codes (QUANDRY, VENTURE). The results show that the code provides good accuracy both in the power distribution and in the effective multiplication factor.

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Response of the Wave Spectrum to Turning Winds (풍향 변화에 대한 파랑 스펙트럼의 반응)

  • 윤종태
    • Journal of Ocean Engineering and Technology
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    • v.11 no.4
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    • pp.111-121
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    • 1997
  • The spectral energy balance model is composed and the nonlinear interaction is approximated by the discrete interaction parameterization as in WAM model. The numerical results of durational limited growth test agree very well with those of the exact model, EXACT-NL. The response of a wave spectrum to a change in wind direction is investigated numerically for a sequence of direction changes 30$^{\circ}$ , 45$^{\circ}$ , 60$^{\circ}$ , 90$^{\circ}$ . The high frequency components relax more repidly to the new wind direction than the low frequency components and the relaxation process also depends on the wave age. For wind direction changes less than 60$^{\circ}$ , the coupling by nonlinear interaction is so strong that the secondary peak in input source distribution is counteracted by the negative lobe of the nonlinear interaction. For wind direction changes grater than 60$^{\circ}$ , a second independent wind-sea spectrum is generated in the new wind direction, while the old spectrum gradually decays as swell.

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Acoustic Source Power Control and Global Noise Reduction by Selection of Distribution and Impedance of Absorptive Materials in Acoustically Small Enclosures (흡음재의 배치와 임피던스 선정을 통한 음원 방사파워 제어와 전역 소음 감소)

  • 김양한;조성호
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.8
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    • pp.668-674
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    • 2004
  • The possibility of global noise reduction by the sound power control through selection of distribution and impedance of absorptive materials is discussed. It is necessary to investigate the relation between the global sound energy in the field and the total sound power radiated by sources. In the previous work,$^{(1.2)}$ the authors presented a useful design method to change boundary condition that can be useful to reduce noise in acoustically small enclosures. Changing boundary condition Is related to not only enclosure’s geometrical shape but also acoustical treatment on walls for example, attaching of impedance patches (ex: absorptive material). In many practical situations, we often meet situation to change acoustical treatment on walls. The possibility of total acoustic potential energy(globa1 noise) reduction by acoustic source power control is examined in an acoustically small cavity Using acoustic energy balance equation, the relation between global noise control performance and absorptive material’s arrangement/impedance is deduced. Numerical simulation is performed to interpret its physical meaning in terms of absorbent’s distribution and impedance.

Modeling and Analysis for the Growth/Dissolution of Oxygen Precipitation in CZ-grown Silicon (CZ 방법에 의해 성장된 실리콘에서 산소 석출물의 성장/감소에 관한 모델 및 해석)

  • 고봉균;곽계달
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.35D no.10
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    • pp.29-38
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    • 1998
  • In this paper, we have induced a model for the growth and dissolution of oxygen precipitates which is generated during arbitrary thermal treatments or VLSI processes in CZ-grown silicon. Based on diffusion-limited growth law and detailed balance equilibrium theory, growth and dissolution rates are induced and inserted into a set of chemical rate equations and a Fokker-Planck equation. Then this is solved by numerical analysis. And because phenomenon at the silicon surface must be considered differently in various annealing conditions, in particular in $O_2$ ambient we have considered the growth model of SiO$_2$ at the surface of silicon wafer and the enhancement of oxygen solubility. By this method, oxygen depth profile and density distribution of oxygen precipitates are calculated more accurately than the other simulation results.

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