• Title/Summary/Keyword: K-$\varepsilon$ model

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Assessment of Turbulence Models with Compressibility Correction for Large Flow Separation in a Supersonic Convergent-Divergent Rectangular Nozzle (강한 박리 유동을 동반한 초음속 수축-확장 사각 노즐 유동에 적합한 난류 모델과 압축성 보정 모델의 평가)

  • Lee, Juyong;Shin, Junsu;Sung, Hong-Gye
    • Journal of Aerospace System Engineering
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    • v.12 no.5
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    • pp.40-47
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    • 2018
  • The objective of this study is to investigate the turbulence models with compressibility correction for large separation-flow in a supersonic convergent-divergent rectangular nozzle. As turbulence models, Yang and Shih's Low-Re $k-{\varepsilon}$ model, Mener's $k-{\omega}$ SST model and Wilcox's $k-{\omega}$model were evaluated. In order to get a significant compressible effects, Sarkar and Wilcox compressibility correction models were applied to the turbulence models respectively. Also, the simulation results were compared with experimental data. The turbulence model with compressibility correction model improves both of shock position and pressure recovery, but deteriorates the length of Mach disk.

Numerical Simulation of Unsteady Cavitating Flow Around 2D Hydrofoil (수중익 주위의 2차원 비정상 공동 현상 해석)

  • Lee, Se-Young;Park, Soo-Hyung;Lee, Chang-Jin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.31 no.8
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    • pp.653-662
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    • 2007
  • Due to the difficulty raised from the coupling of cavitation modeling with turbulent flow, numerical simulation for two phase flow remains one of the challenging issues in the society. This research focuses on the development of numerical code to deal with incompressible two phase flow around 2D hydrofoil by combing the cavitation model suggested by Kunz et al. with $k-{\varepsilon}$ turbulent model. The simulation results are compared to experimental data to verify the validity of the developed code. Also, the comparison of the calculation results is made with LES results to evaluate the capability of $k-{\varepsilon}$ turbulence model. The calculation results show very good agreement with experimental observations even though this code can not grasp the small scaled bubbles in the calculation wheres LES can hold the real physics. This code will be extended to 3D compressible two phase flow for the study on the fluid dynamics in the inducers and impellers.

Numerical Simulation of Turbulent Separated and Reattaching Flows by Local Forcing (국소교란에 의한 난류박리 재부착 유동의 수치해석)

  • Rhee, Gwang-Hoon;Sung, Hyung-Jin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.3
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    • pp.467-476
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    • 2000
  • An unsteady numerical simulation was performed for locally-forced separated and reattaching flow over a backward-facing step. The local forcing was given to the separated and reattaching flow by means of a sinusoidally oscillating jet from a separation line. A version of the $k-{\varepsilon}-f_{\mu}$ model was employed, in which the near-wall behavior without reference to distance and the nonequilibrium effect in the recirculation region were incorporated. The Reynolds number based on the step height (H) was fixed at $Re_H=33000$, and the forcing frequency was varied in the range $0{\leq}St_H{\leq}2$. The predicted results were compared and validated with the experimental data of Chun and Sung. It was shown that the unsteady locally-forced separated and reattaching flows are predicted reasonably well with the $k-{\varepsilon}-f_{\mu}$ model. To characterize the large-scale vortex evolution due to the local forcing, numerical flow visualizations were carried out.

Analysis for Steady-State and Transient Combustion Characteristic of Solid Propellant Rocket Engine (고체 추진제 로켓엔진의 정상 및 비정상 연소특성 해석)

  • 김후중;김용모;윤명원
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2003.05a
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    • pp.233-239
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    • 2003
  • The present study has numerically investigated the combustion processes in the solid propellant rocket engine. The two step global reaction model for condensed phase and five step global reaction mechanism for gas phase are adopted to predict the detailed flame structure near double-base solid propellant surface. The turbulence-chemistry interaction is represented by the PaSR(Partially Stirred Reactor) model. To reduce the uncertainties for convective heat transfer near solid fuel surface having strong blowing effect, the Low Reynolds number k-$\varepsilon$ turbulent model is employed. Based on numerical results, the detailed discussion has been made for the turbulent combustion processes and transient behavior of pressure and temperature fields in the solid propellant rocket engine.

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Numerical Calculations of Three-dimensional Viscous Flows over a stern by the Semi-Elliptic Equations (준타원형 방정식에 의한 선미에서의 3차원 점성유동의 수치계산)

  • Shin-Hyoung,Kang;Keon-Je,Oh
    • Bulletin of the Society of Naval Architects of Korea
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    • v.26 no.1
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    • pp.11-23
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    • 1989
  • A computer code has been developed to simulate three-dimensional viscous flows over a ship-stern. Semi-elliptic forms of Reynolds equations are adopted and numerically generated body-fitted coordinate systems are used to resolve complex geometries of the ship-hull. A standard form of $k-\varepsilon$ turbulence model is adopted for evaluation of the Reynolds stresses. Turbulent flows on a model with 3:1 elliptic sections and the SSPA-720 container ship model are predicted by using the code. Calculated pressure distributions of hull-surfaces and mean velocity distributions are generally in good agreements with measured values in wind-tunnels. But turbulent kinetic energies tend to be over-estimated near the stern in comparison with measured data.

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Modeling for gaseous methane/liquid oxygen combustion processes at supercritical pressure (초임계 압력상태의 기체메탄/액체산소 연소과정 해석)

  • Kim, Tae-Hoon;Kim, Yong-Mo;Kim, Seong-Ku
    • 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.

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Numerical Analysis for the Air-Side Convective Heat Transfer Characteristics in a Compact Heat Exchanger with Circular Tubes and Continuous Plate Fins (원형관-평판휜 형상의 밀집형 열교환기 내 공기 측대류열전달특성에 대한 수치해석)

  • Moh, Jeong-Hah;Lee, Sang-Ho
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.31 no.12
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    • pp.994-1001
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    • 2007
  • Numerical analysis has been carried out to investigate air-side convective heat transfer characteristics in a compact heat exchanger with circular tubes and continuous plate fins. Simulation results such as air velocity and temperature distributions are presented, and heat transfer coefficients are compared with previous experimental correlations. Three models of standard and RNG $k-{\varepsilon}$, and Reynolds stress are applied for turbulence model applicability. Predicted heat transfer coefficient from the models of standard and RNG $k-{\varepsilon}$ are very close to those of the heat transfer correlations while there are relatively large difference, more than 17 percentage in the result from the Reynolds stress model. From the calculated results a correlation for Colburn j factor in the compact heat exchanger system is suggested.

A Bayes Rule for Determining the Number of Common Factors in Oblique Factor Model

  • Kim, Hea-Jung
    • Journal of the Korean Statistical Society
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    • v.29 no.1
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    • pp.95-108
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    • 2000
  • Consider the oblique factor model X=Af+$\varepsilon$, with defining relation $\Sigma$$\Phi$Λ'+Ψ. This paper is concerned with suggesting an optimal Bayes criterion for determining the number of factors in the model, i.e. dimension of the vector f. The use of marginal likelihood as a method for calculating posterior probability of each model with given dimension is developed under a generalized conjugate prior. Then based on an appropriate loss function, a Bayes rule is developed by use of the posterior probabilities. It is shown that the approach is straightforward to specify distributionally and to imploement computationally, with output readily adopted for constructing required cirterion.

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An Analytical Study on the Condensation of Submerged Vapor Jets in Subcooled Liquids (과냉수에서의 증기응축제트에 대한 해석적 연구)

  • 김기웅;이계복;김환열
    • Journal of Energy Engineering
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    • v.8 no.2
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    • pp.333-340
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    • 1999
  • A numerical study of turbulent condensing vapor jet submerged in subcooled liquids has been conducted. A physical model of the process is presented employing the locally homogeneous flow approximation of two phase flow in conjunction with a $\kappa$-$\varepsilon$-g model of turbulence properties. In this model the turbulence is represented by differential equations for its kinetic energy and dissipation. A differential equation for the concentration fluctuations is solved and a clipped normal probability distribution function is proposed for the mixture fraction. Effects of steam mass flux, pool temperature and nozzle internal diameter on the condensing vapor jet are also analyzed. The model is evaluated using existing data for turbulent condensing vapor jets. The agreement between the predictions and the available experimental data is good.

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A numerical study of the turbulent fluctuating flow around a square cylinder for different inlet shear

  • Islam, A.K.M. Sadrul;Hasan, R.G.M.
    • Wind and Structures
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    • v.5 no.1
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    • pp.15-24
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    • 2002
  • This paper reports the numerical calculations of uniform turbulent shear flow around a square cylinder. The predictions are obtained by solving the two-dimensional unsteady Navier-Stokes equations in a finite volume technique. The turbulent fluctuations are simulated by the standard $k-{\varepsilon}$ model and one of its variant which takes care of the realizability constraint in order to suppress the excessive generation of turbulence in a stagnation condition. It has been found that the Strouhal number and the mean drag coefficient are almost unaffected by the shear parameter but the mean lift coefficient is increased. The present predictions are compared with available experimental data.