• 제목/요약/키워드: Nonlinear $k-\varepsilon-f_\mu$ Model

검색결과 5건 처리시간 0.023초

RANS 및 LES를 이용한 리세스가 있는 동축분사기의 유동혼합에 대한 수치해석 (RANS-LES Simulations of Scalar Mixing in Recessed Coaxial Injectors)

  • 박태선
    • 한국추진공학회지
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    • 제16권1호
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    • pp.55-63
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    • 2012
  • 동축제트분사기에 대한 난류유동의 특징이 비선형 $k-{\varepsilon}-f_{\mu}$ 모형[1]과 큰에디모사법에 의해서 조사되었다. 비연소조건에서 밀도가 다른 유체가 혼합될 때 레이놀즈수가 일정한 조건에서 리세스와 운동량비가 변화되었다. 비선형 $k-{\varepsilon}-f_{\mu}$ 모형은 리세스와 운동량비의 다양한 조건에서 의미있는 상관관계를 제안하였다. LES결과는 리세스에 의해서 난류유동 구조의 변화를 잘 묘사해 주었다. 리세스가 있는 경우 난류운동에너지의 발달은 리세스가 없는 경우보다 빠르게 나타났다. 또한, 혼합특성은 전단변형률의 변화가 지배적이었지만 국부적인 혼합은 리세스에 의해서 변화되었다.

파형벽면이 있는 채널 내의 난류유동에 대한 수치해석 (Numerical Simulation of Turbulent Flow in n Wavy-Walled Channel)

  • 박태선;성형진
    • 대한기계학회논문집B
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    • 제27권5호
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    • pp.655-667
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    • 2003
  • Turbulent flow over a fully-developed wavy channel is investigated by the nonlinear $k-\varepsilon-f_\mu$ model of Park et al.(1) The Reynolds number is fixed at $Re_{b}$ = 6760 through all wave amplitudes and the wave configuration is varied in the range of $0\leq\alpha/\lambda\leq0.15$ and $0.25\leq{\lambda}/H\leq4.0$. The predicted results for wavy channel are validated by comparing with the DNS data of Maa$\beta$ and Schumann(2) The model performance Is shown to be generally satisfactory. As the wave amplitude increases, it is found that the form drag grows linearly and the friction drag is overwhelmed by the form drag. In order to verify these characteristics, a large eddy simulation is performed for four cases. The dynamic model of Germane et al.(3) is adopted. Finally, the effects of wavy amplitude on separated shear layer are scrutinized.

원형블록이 있는 벽면충돌제트 열전달 해석 (Prediction of Jet Impingement Heat Transfer on a Cylindrical Pedestal)

  • 박태선;성형진
    • 대한기계학회논문집B
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    • 제26권1호
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    • pp.141-149
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    • 2002
  • A numerical simulation is performed for the cooling heat transfer of a heated cylindrical pedestal by an axisymmetric jet impingement. Based on the k- $\varepsilon$- f$\sub$${\mu}$/ model of Park et at., the linear and nonlinear stress-strain relations are extended. The Reynolds number based on the jet diameter(D) is fixed at Re$\sub$D/ = 23000. The local heat transfer coefficients are compared with available experimental data. The predictions by k- $\varepsilon$-f$\sub$${\mu}$/ model are in good agreement with the experiments, whereas the standard 7- f model does not properly resolve the flow structures.

난류박리 및 재부착 유동에 대한 저레이놀즈수 비선형 열전달 모형의 개발 (A Non-linear Low-Reynolds-Number Heat Transfer Model for Turbulent Separated and Reattaching Flows)

  • 리광훈;성형진
    • 대한기계학회논문집B
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    • 제24권2호
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    • pp.316-323
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    • 2000
  • A nonlinear low-Reynolds-number heat transfer model is developed to predict turbulent flow and heat transfer in separated and reattaching flows. The $k-{\varepsilon}-f_{\mu}$ model of Park and Sung (1997) is extended to a nonlinear formulation, based on the nonlinear model of Gatski and Speziale (1993). The limiting near-wall behavior is resolved by solving the $f_{\mu}$ elliptic relaxation equation. An improved explicit algebraic heat transfer model is proposed, which is achieved by applying a matrix inversion. The scalar heat fluxes are not aligned with the mean temperature gradients in separated and reattaching flows; a full diffusivity tensor model is required. The near-wall asymptotic behavior is incorporated into the $f_{\lambda}$ function in conjunction with the $f_{\mu}$ elliptic relaxation equation. Predictions of the present model are cross-checked with existing measurements and DNS data. The model preformance is shown to be satisfactory.

난류유동 및 대류열전달에 대한 비선형 난류모형의 개발 (Development of a Nonlinear Near-Wall Model for Turbulent Flow and Heat Transfer)

  • 박태선;성형진
    • 대한기계학회논문집B
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    • 제25권11호
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    • pp.1569-1580
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    • 2001
  • A new nonlinear near-wall turbulence model is developed to predict turbulent flow and heat transfer in strongly nonequilibrium flows. The k-$\varepsilon$-f$\sub$${\mu}$/, model of Park and Sung$\^$(1)/ is extended to a nonlinear formulation. The stress-strain relationship is the thrid-order in the mean velocity gradients. The strain dependent coefficients are obatined from the realizability constraints and the singular behavior at large strains. An improved explicit heat flux model is proposed with the aid of Cayley-Hamilton theorem. This new model includes the quadratic effects of flow deformations. The near-wall asymptotic behavior is incorporated by modifying the f$\sub$λ/ function. The model performance is shown to be satisfactory.