• 제목/요약/키워드: Low-Reynolds-Number Dissipation Rate Equation

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Multiple Source Modeling of Low-Reynolds-Number Dissipation Rate Equation with Aids of DNS Data

  • Park, Young-Don;Shin, Jong-Keun;Chun, Kun-Go
    • Journal of Mechanical Science and Technology
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    • 제15권3호
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    • pp.392-402
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    • 2001
  • The paper reports a multiple source modeling of low-Reynolds-number dissipation rate equation with aids of DNS data. The key features of the model are to satisfy the wall limiting conditions of the individual source terms in the exact dissipation rate equation using the wall damping functions. The wall damping functions are formulated in term of dimensionless dissipation length scale ι(sup)+(sub)D(≡ι(sub)D($\upsilon$$\xi$)(sup)1/4/$\upsilon$) and the invariants of small and large scale turbulence anisotropy tensors. $\alpha$(sub)ij(=$\mu$(sub)i$\mu$(sub)j/$\kappa$-2$\delta$(sub)ij/3) and e(sub)ij(=$\xi$(sub)ij/$\xi$-2$\delta$(sub)ij/3). The model constants are optimized with aids of DNS data in a plane channel flow. Adopting the dissipation length scale as a parameter of damping function, the applicabilities of $\kappa$-$\xi$ model are extended to the turbulent flow calculation of complex flow passages.

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저레이놀즈수 난류에 대한 레이놀즈 응력모델 (A Reynolds Stress Model for Low-Reynolds-Number Turbulence)

  • 김광용
    • 대한기계학회논문집
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    • 제17권6호
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    • pp.1541-1546
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    • 1993
  • 본 연구에서는 새로운 유형의 저레이놀즈수 레이놀즈응력모델을 개발하기 위해 Launder등과 Gibson과 Launder에 의해 제시된 레이놀즈응력모델을 벽근처의 저 레이놀즈수 영역까지 확장하였다. 개발된 모델의 성능을 시험하기 위해 두 평판사이 에서 완전히 발달된 2차원 유동을 계산하여 그 결과를 Kimm등에 의해 수행된Navier- Stokes방정식의 직접계산결과와 비교하였으며, 아울러 Launder와 Shima가 제시한 모델로도 계산을 수행하여 그 결과를 비교 검토하였다.

역압력구배 영향을 고려한 저레이놀즈수 k-ε 모형의 소산율 방정식 수정 (Modification of Dissipation Rate Equation of Low Reynolds Number k-ε Model Accounting for Adverse Pressure Gradient Effect)

  • 송경;조강래
    • 대한기계학회논문집B
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    • 제23권11호
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    • pp.1399-1409
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    • 1999
  • It is known that previous models are unsatisfactory in predicting adverse pressure gradient turbulent flows. In the present paper, a revised low Reynolds number $k-{\varepsilon}$ model is proposed. In this model, a newly developed term is added lo the dissipation rate equation. In order to reflect appropriate effects for an adverse pressure gradient. The added tenn is derived by considering the distribution of mean velocity and turbulent properties in the turbulent flow with, adverse pressure gradient. The new $k-{\varepsilon}$ model was applied to calculations of flat plate flow with adverse pressure gradient, conical diffuser flow and backward facing step flow. It was found that the three numerical results showed better agreement than other models compared with DNS results and experimental ones.

저레이놀즈수 k-$\varepsilon$난류모형 개선에 관한 연구 (A Study on the Development of Low Reynolds Number k-$\varepsilon$ Turbulence Model)

  • 김명호;신종근;최영돈
    • 대한기계학회논문집
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    • 제16권10호
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    • pp.1940-1954
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    • 1992
  • 본 연구에서는 가공기 자체의 파라메터와 성능에 관한 연구로서 출력 에너지 가 서로 다른 가공기를 사용하여 SUS 304 스테인리스 시험편을 관통, 절단하면서 출력 에너지와 최대 출력을 비교하여 보고, 시험편 관통시 주파수와 출력 에너지와의 관계, 시험편 관통시 응융 금속 제거량에 의한 절단 속도의 예측, 서로 다른 출력의 가공에 있어서 슬릿 절단 폭, 커프 폭, 드로스 길이, 절단면의 표면 거칠기 등을 비교하여 출 력차에 따른 가공 특성을 고찰하였다.

난류 박리 및 재부착 유동의 해석을 위한 저레이놀즈수 4-방정식 난류 열전달 모형의 개발 (A low-Reynolds-number 4-equation heat transfer model for turbulent separated and reattaching flows)

  • 이광훈;성형진
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1995년도 추계 학술대회논문집
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    • pp.37-42
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    • 1995
  • In the present study, an improved version of 4-equation low-Reynolds-number 4-equation model is proposed. The equations of the temperature variance ($k_{\theta}$) and its dissipation rate(${\varepsilon}_{\theta}$) are solved, in concert with the equations of the turbulent kinetic energy(k) and its dissipation rate(${\varepsilon}$). In the present model, the near-wall effect and the non-equilibrium effect are fully taken into consideration. The validation of the model is then applied to the turbulent flow behind a backward-facing step and the flow over a blunt body. The predicted results of the present model are compared and evaluated with the relevant experiments.

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소산율 방정식의 개선을 통한 저레이놀즈수 k-.epsilon. 모형의 개발 (Developing of low Reynolds number k-.epsilon. model with improved .epsilon. equation)

  • 송경;유근종;조강래
    • 대한기계학회논문집B
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    • 제22권5호
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    • pp.685-697
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    • 1998
  • Series of recent k-.epsilon. model modification have been carried out with the aid of DNS data to include the effect of near wall. Though these methods opened new way of turbulence modelings, newly developed turbulence models of its kind had yet shortcomings in prediction for the turbulent flows with various Reynolds numbers and various geometric conditions. As a remedy for these shortcomings, a new k-.epsilon. model proposed here by improving the dissipation rate equation and the damping function for eddy viscosity model. The new dissipation rate equation was modeled based on the energy spectrum and magnitude analysis. The damping function for eddy viscosity was also formulated on the ground of distribution of dissipation rate length scales near a wall and the DNS data. The new k-.epsilon. model was applied to the fully developed turbulent flows in a channel and a pipe with a wide range of Reynolds numbers. Prediction results showed that the present model represents properly the turbulence properties in all turbulent regions over a wide range of Reynolds numbers.

난류박리 및 재부착 유동의 해석을 위한 저레이놀즈수 4-방정식 난류모형의 개발 (A Low-Reynolds-Number 4-Equation Model for Turbulent Separated and Reattaching Flows)

  • 이광훈;성형진
    • 대한기계학회논문집
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    • 제19권8호
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    • pp.2039-2050
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    • 1995
  • The nonlinear low-Reynolds-number k..epsilon. model of park and Sung is extended to predict the turbulent heat transports in separated and reattaching flows. The equations of the temperature variance( $k_{\theta}$ and its dissipation rate(.epsilon.$_{\theta}$ are solved, in concert with the equations of the turbulent kinetic energy(k) and its dissiation rate(.epsilon). In the present model, the near-wall effect and the non-equilibrium effect are fully taken into consideration. The validation of the model is then applied to the turbulent flow behind a backward-facing step and the flow over a blunt body. The predicted results of the present model are compared and evaluated with the relevant experiments.

이차적인 변형률효과를 고려한 텐서 불변성 난류에너지 소산율방정식 (A Tensor Invariant Dissipation Equation Accounting for Extra Straining Effects)

  • 명현국
    • 대한기계학회논문집
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    • 제18권4호
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    • pp.967-976
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    • 1994
  • A tensor invariant model equation for the turbulent energy dissipation rate is proposed in the present study, which is able to simulate secondary straining effects such as curvature effects without the introduction of additional empirical input. The source term in this model has a combined form of the generation term due to the mean vorticity with the conventional one due to the mean strain rate. An extended low-Reynolds-number $k-\epsilon$ turbulence model involving this new model equation is tested for a turbulent Coutte flow between coaxial cylinders with inner cylinder rotated, which is a well defined example of curved flows. The predicted results indicate that the present model works much better for this flow, compared with previous models.

직사각단면을 갖는 180°곡관내의 난류 유동및 열전달에 관한 수치해석적 연구 (Numerical Analysis of Turbulent Flow and Heat Transfer in a Rectangular Duct with a 180° Bend Degree)

  • 최영돈;문찬
    • 설비공학논문집
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    • 제6권4호
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    • pp.325-336
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    • 1994
  • A numerical simulation of velocity and temperature fields and Nusselt number distributions is performed by using the algebraic stress model (ASM) for the velocity profiles and low Reynolds number ${\kappa}-{\varepsilon}$ model and the algebraic heat flux model(AHFM) for turbulent heat transfer in a $180^{\circ}$ bend with a constant wall heat flux. In the low Reynolds number ${\kappa}-{\varepsilon}$ model, turbulent Prandtl number is modified by considering the streamline curvature effect and the non-equilibrium effect between turbulent kinetic energy production and dissipation rate. Every heat flux term presented in the transport equation of turbulent heat flux is reduced to algebraic expressions in a way similar to algebraic stress model. Also. in the wall region, low Reynods number algebraic heat flux model(AHFM) is applied.

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