• Title/Summary/Keyword: state equation

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Deformation Analysis of Miniature Metal Bellows Charged Nitrogen for Temperature Change to Cryogenic Condition (극저온까지 온도변화에 따른 질소 충전 소형 금속 벨로우즈의 변형 해석)

  • Lee, Seung-Ha;Lee, Tae-Won
    • Journal of the Korean Society for Precision Engineering
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    • v.26 no.10
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    • pp.81-88
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    • 2009
  • Bellows is used to control temperature of a Joule-Thomson micro cryocooler. It is made of Nickelcobalt alloy that retains mechanical properties from cryogenic temperature to temperature of 570K. The geometry of bellows is an axisymmetric shell and Nitrogen with high pressure was charged at temperature of 293K. During cool-down process, the pressure and volume of Nitrogen are changed and must be satisfied with state equation. At cryogenic temperature, Nitrogen can exist as a part liquid and part vapor. Pressure-density-temperature behavior under this vaporliquid phase equilibrium is closely given by the Modified-Benedict-Webb-Rubin(MBWR) state equation. To evaluate deformation of bellows for temperature change, the numerical calculation of the volume within bellows and finite element analysis of bellows under internal pressure were iteratively performed until MBWR state equation is satisfied. The numerical results show that deformation of the bellows can be analyzed by the present method in a wide range of temperature including cryogenic temperature.

Pseudosteady-State Approach to Calculate Long-Time Performance of Closed Gas Reservoirs (유사정상상태 해법을 이용한 폐쇄 가스저류층의 장기거동 계산)

  • Lee Kun Sang
    • 한국가스학회:학술대회논문집
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    • 1998.09a
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    • pp.241-246
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    • 1998
  • This paper considers the applicability of a pseudosteady-state approach to the long-time behavior of real gas flow in a closed reservoir. The method involves a combination of a linearized gas diffusivity equation using a normalized pseudotime and a material balance equation. Comparison with a commercial reservoir simulator showed that highly accurate values of pseudopressure drawdown and well pressure are obtained by the pseudosteady-state approach with much less computational effort.

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A Model for a Continuous State System with (s,S) Repair Policy

  • Park, Won-J.;Kim, Eui-Yong;Kim, Hong-Gie
    • Journal of the Korean Statistical Society
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    • v.25 no.1
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    • pp.111-122
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    • 1996
  • A model for a system whose state changes continuously with time is introduced. It is assumed that the system is modeled by a Brownian motion with negative drift and an absorbing barrier at the origin. A repairman arrives according to a Poisson process and repairs the system according to an (s,S) policy, i.e., he increases the state of the system up to S if and only if the state is below s. A partial differential equation is derived for the distribution function of X(t), the state of the system at time t, and the Laplace-Stieltjes transform of the distribution function is obtained by solving the partial differential equation. For the stationary case the explicit expression is deduced for the distribution function of the stationary state of the system.

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Decentralized $H_{\infty}$ State Estimation (분산형 $H_{\infty}$ 상태 추정 기법)

  • Kim, Kyung-Keun;Jin, Seung-Mee;Park, Jin-Bae;Yoon, Tae-Sung;Choi, Yoon-Ho
    • Proceedings of the KIEE Conference
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    • 1997.07b
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    • pp.414-417
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    • 1997
  • We propose a decentralized $H_{\infty}$ state estimation method in the multisensor state estimation problem. The proposed method bounds the maximum energy gain from unknown external disturbances to the estimation errors in the suboptimal case. And we formulate the decentralized state estimation method in the general case of different global and local models using alternative gain equation of the $H_{\infty}$ state estimator which can calculate global state estimates from the the linear combination of local state estimates. In addition, the proposed update equation between global and local Riccati solutions can reduce unnecessary calculation burden efficiently.

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The Effect of Nonrandom Distribution of Molecules on the Equation of State for Gases (분자의 논랜덤 분포가 기체의 상태방정식에 미치는 영향)

  • Jung, Hae-Young
    • Journal of the Korean Chemical Society
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    • v.57 no.5
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    • pp.540-546
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    • 2013
  • Using the free volume of van der Waals equation, Carnahan-Starling equation for hard spheres, Wilson equation for nonrandom mixing of solution, NRTL equation and our equation, several new equations of states for pure gases are derived. Using these equations, compressibility factors for pure gases are calculated and compared with Nelson-Obert generalized compressibility factor charts. The equation of states using the concept of molecular nonrandom distribution gave better results than those of molecular random distribution. This shows that the molecular nonrandom distribution makes considerable effect on the equation of states.

The Numerical Analysis and Experimental Verification of the Heat Transfer Effect on the Highly Pressurized Gas Spring (고압 밀폐 가스 스프링에서의 열전달 효과 수치해석 및 실험적 검증)

  • Han, Insik;Choi, Kyojun;Kim, Jaeyong;Lee, Yoonbok
    • Transactions of the Korean Society of Automotive Engineers
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    • v.21 no.2
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    • pp.87-97
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    • 2013
  • Recently the use of gas spring in the combat and commercial vehicle's suspension is increasing. Because of its nonlinear characteristics, the gas spring can support wide range of dynamic loads and gives good ride quality. In design of gas spring, isothermal and adiabatic processes are applied generally, but those processes could not produce heat transfer effect in the simulation. So in this study, heat transfer differential equation and BWR/Ideal state equation are used to calculate the pressure of gas spring which is changing with time. The numerical analysis showed that the pressure of gas spring forms a hysteresis loop in the both of the state equations. But the peak pressure value of BWR equation over 0.1Hz frequency are higher than that of adiabatic process. And the test results showed that the differences between test results and ideal gas equation are smaller than those of BWR equation, so the ideal equation is more accurate than BWR equation in this case.

Numerical Analysis for the Internal Flow of Thermal Vapor Compressor with real gas equation of state (실제기체 상태방정식을 적용한 열압축기 내부유동에 대한 수치해석)

  • Kang, Wee-Kwan;Choi, Du-Yeol;Shin, Jee-Young;Kim, Moo-Geun
    • Journal of Advanced Marine Engineering and Technology
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    • v.35 no.2
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    • pp.216-223
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    • 2011
  • TVC is a kind of ejector which entrains low pressure working fluid by using the high pressure working fluid. While most papers relating with ejectors treat the working fluid as an ideal gas for convenience, the fluid doesn't behave as the ideal gas when phase change occurs. In this study, numerical analysis is conducted by applying Redlich-Kwong equation of state instead of ideal gas equation of state. Two turbulent models are compared for the better prediction and SST k-${\omega}$ model is preferred rather than realizable k-${\epsilon}$ model by comparison. Energy loss at the diffuser inlet and throat using the real gas equation of state is relatively greater than that using ideal gas law. For the real gas case, pressure increase due to shock train at the diffuser outlet is relatively smaller than the ideal gas case, but both cases have the same pressure increase due to a pseudo shock.

A Study on the Development of Air Pollution Dispersion Model for Personal Computer (特定地域의 大氣汚染 擴散모델 開發에 關한 硏究)

  • 송기유;임흥재;윤명희
    • Journal of Korean Society for Atmospheric Environment
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    • v.2 no.2
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    • pp.19-30
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    • 1986
  • This study was performed to develop a long-term air pollution dispersion model based on CDM program for use in the personal computer. The model CDM.PC, developmented for use of this study, simplified the plum equation of point pollution source in a windy state and sindless state. We used the classified 8 class stability, 16 wind direction and 4 class wind speed for the computer input climatological data. The plum rise equation is applied for CONCAWE's equation above 2,000 Kcal/sec of the exhaust calorie and Moses-Carson's equation below 2,000Kcal/sec at windy state, and Brigg's equation at calm. The time required is 200 minutes for drawing the air pollution contour for treating ten stacks under the above-stated conditions. It is the weakness of using personal computer that the operation time is longer than a large-size computer. But it strength is that the personal computer is used widely. To compare the treatment results of CDM.PC with TCM, we comfirmed that the shape of $SO_2$ pollution contour is similar but the concentration distribution is quite different because of characteristics of each models. Estimated and measured $SO_2$ concentration were similar, namely, Cest/Cob ratio of CDM.PC and TCM were respectively $0.96 \pm 0.25 (mean\pmS.D)$ and $1.08\pm0.26$.

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