• Journal of the Korean Society of Propulsion Engineers
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• v.17 no.3
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• pp.21-29
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• 2013

Turbulent flow and thermal fields of gaseous hydrogen/liquid oxygen flames at supercritical pressure are investigated by turbulence models. The modified Soave-Redlich-Kwong (SRK) EOS is implemented into the flamelet model to realize real-fluid combustions. For supercritical fluid flows, the modified pressure-velocity-density coupling are introduced. Based on the algorithm, the relative performance of six convection schemes and the predictions of four turbulence models are compared. The selected turbulence models are needed to be modified to consider various characteristics of real-fluid combustions.

• 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.

• Proceedings of the Korean Society of Propulsion Engineers Conference
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• 2011.04a
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• pp.89-92
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• 2011

The modeling of thermodynamic non-idealities and transport anomalies is a crucial prerequisite to realistically simulate the mixing and combustion processes of liquid propellants injected above critical pressures. This study has developed a specific set of subroutines to calculate the thermodynamic and transport properties based on the generalized cubic equation of state (EoS) in a coupled manner with the standard chemical kinetics packages (Chemkin). The existing flamelet analysis code is extended with the real-fluid package and applied to numerical investigation of local flame structures of kerosene and liquid oxygen at high pressure conditions relevant to the actual rocket engines.

• Proceedings of the Korean Society of Propulsion Engineers Conference
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• 2010.11a
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• pp.85-88
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• 2010

This study has been mainly motivated to numerically model the supercritical mixing and combustion processes encountered in the liquid propellant rocket engines. In the present approach, turbulence is represented by the extended $k-{\varepsilon}$ turbulence model. To account for the real fluid effects, the propellant mixture properties are calculated by using SRK (Souve-Redlich-Kwong) equation of state. In order to realistically represent the turbulence-chemistry interaction in the turbulent nonpremixed flames, the flamelet approach based on the real fluid flamelet library has been adopted. Based on numerical results, the detailed discussions are made for the real fluid effects and the precise structure of gaseous methane/liquid oxygen coaxial jet flame.

• Journal of the Korean Chemical Society
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• v.35 no.5
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• pp.487-492
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• 1991

$[P+a(b/v)^n]$ = RT / (V - b) Above equation of state had been derived from Roulette theory. Three parameters-a, b, n are estimated from the critical point and the inversion temperature. When it is applied to 52 materials and to the regions of high density such as dense gas and supercritical gas, the results are good.

• Proceedings of the Korean Society of Propulsion Engineers Conference
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• 2012.05a
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• pp.31-34
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• 2012

Numerical simulations of the steady and unsteady state were conducted for a coaxial swirl injector with Kerosene fuel. Non-premixed equilibrium model based on chemical equilibrium assumption was used as turbulence-chemistry interaction model. As an equations of state, SRK(Soave-Redlich-Kwong) EOS was applied to deal with the behavior of real fluid in a high pressure condition. Through the steady and unsteady computations, mean values of steady and time-averaged unsteady state were compared on the temperature and OH mass fraction and it was shown that the flame structure of steady state was different to that of time-averaged unsteady state.

• Journal of the KSME
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• v.34 no.9
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• pp.688-697
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• 1994

유체유동이나 열전달 그리고 물질전달 (물질의 혼합 및 확산) 또는 이들 현상이 복합적으로 나 타나는 각종 기계의 설계와 성능 해석을 하기 위해서는 그 현상을 지배하는 편미분 방정식들의 해를 수치적으로 구해야 한다. 유동 상태가 충류 유동인 경우는 지배 방정식의 수가 알고자 하는 미지변수 즉 속도, 압력, 온도, 농도 등의 개수와 같고 또한 이들 변수들의 변동이 그리 심하지 않기 때문에 적절한 수치 해법을 사용하면 그 해를 구할 수 있다. 그러나 난류유동의 경우에는 변수들이 시간상으로 또한 공간적으로 대단히 심하게 변동(fluctuation)하기 때문에 공 학적으로 우리가 원하는 정보들, 즉, 표면 마찰저항이나 양력, 얼전달 계수, 물질 확산계수 등을 현재 수준의 전자계산기로 계산하는 데는 계산시간이 엄청나게 소요될 뿐만 아니라 변수 저장 메모리도 과도하게 차지하기 때문에 실제적인 계산 방법이 되지 못하고 있다. 이러한 이유로 변수들의 순간 변화 상태를 나타내는 지배 방정식들을 해석하는 대신에 이들 지배 방정식의 시 간평균을 취하여 유도한 난류 방정식들을 사용하게 된다. 그러나 이 시간 평균 과정에서 파생 되는 또 다른 미지의 난류 변수들 때문에 난류 지배 방정식에 있어서는 그 지배 방정식의 개수 보다 미지 변수의 개수가 많아져서 난류 지배 방정식을 풀기 위해서는 시간평균 과정에서 나타난 난류 변수들을 원래 있던 미지 변수들의 함수나 방정식의 형태로 가정할 필요가 있게 되는데 이 가정되는 함수 관계들을 난류 계산 모형이라고 한다. 난류 계산 모형은 물리적인 통찰과 직관에 의해서 실용적인 형태로 가정되기도 하지만 최근에는 논리적으로 엄격한 모형 원칙에 따른 수 학적인 방법으로 유도되고 있는데 이 글에서는 일반 독자들이 쉽게 이해할 수 있도록 마하수가 낮은 2차원 비압축성 난류 유동을 예로 들어 x-y 직교 좌표계에서 표현되는 난류 계산 모형들을 소개하고 앞으로듸 발전 방향을 개관하며 현재의 응용 사례들을 예로 들어 모형의 성능을 비교 하여 보기로 한다.

• Journal of the Society of Naval Architects of Korea
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• v.38 no.4
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• pp.30-38
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• 2001

The current is considered in the conventional manoeuvering equation. This equation is represented as the nonlinear state and measurement equations in which external forces and the direction and the velocity of current are augmented as that variables. The external forces are modeled as the third-order Gauss-Markov processes and the direction and the velocity of current are assumed to be constant. The augmented state variables are estimated with extended Kalman-Bucy filter and the fixed-interval smoother. While Hwang estimated motion state variables, hydrodynamic coefficients and the current variables simultaneously by using extended Kalman filter, external forces of surge, sway and yaw and the direction and the velocity of current are the only parameters to be estimated in the estimation-before-modeling method. The current variables are satisfactorily estimated in simulation process where the measurement noise is present.

• 한국전산유체공학회:학술대회논문집
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• 2000.05a
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• pp.153-158
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• 2000

For the analysis of compressible flow with real gas effect, characteristic form of Roe's Riemann solver was derived again using real gas equation of state and variable specific heal and it was extended to multi component reactive system. From this study, it is known that some correction should be made for the use of existing numerical algorithm. 1) Sonic speed and characteristic variable should be corrected with real gas effect. 2) Roe's average was applicable only with the assumption of constant properties. 3) Artificial damping term and characteristic variables should be corrected but their influence may not be significant.

• Water for future
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• v.24 no.1
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• pp.109-117
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• 1991

The governing equation of flow in porous media is developed on the bases of the continuity equation of fluid for transient flow through a saturated-unsaturated zone, and substitution of Darcy's law. The numerical solutions are obtained by finite element method based on the Galerkin principles weighted residuals. The analysis are carried out by using the unsteady storm data observed and rainfall intensities which are obtained by using the rainfall excess model in considering of the initial losses. The functional relationships between the hydraulic conductivity, capillary pressure head and volumetric water content are applied to the flow of water through unsaturated soil varied with changes of water content.