• 제목/요약/키워드: Algebraic stress model

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On Constructing an Explicit Algebraic Stress Model Without Wall-Damping Function

  • Park, Noma;Yoo, Jung-Yul
    • Journal of Mechanical Science and Technology
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    • 제16권11호
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    • pp.1522-1539
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    • 2002
  • In the present study, an explicit algebraic stress model is shown to be the exact tensor representation of algebraic stress model by directly solving a set of algebraic equations without resort to tensor representation theory. This repeals the constraints on the Reynolds stress, which are based on the principle of material frame indifference and positive semi-definiteness. An a priori test of the explicit algebraic stress model is carried out by using the DNS database for a fully developed channel flow at Rer = 135. It is confirmed that two-point correlation function between the velocity fluctuation and the Laplacians of the pressure-gradient i s anisotropic and asymmetric in the wall-normal direction. Thus, a novel composite algebraic Reynolds stress model is proposed and applied to the channel flow calculation, which incorporates non-local effect in the algebraic framework to predict near-wall behavior correctly.

Explicit Algebraic Stress/Heat-Flux 모형을 이용한 벽면가열이 높은 수직관 내의 열전달 감소에 대한 수치적 해석 (Assessment of Explicit Algebraic Stress/Heat-Flux Models for Reduction of Heat Transfer in a Vertical Pipe with Intense Heating)

  • 백성구;박승오
    • 대한기계학회논문집B
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    • 제27권12호
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    • pp.1724-1733
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    • 2003
  • This paper assesses the prediction performance of explicit algebraic stress and heat-flux models for reduction of heat transfer coefficient in a strongly-heated vertical tube. Two explicit algebraic stress models and four explicit algebraic heat-flux models are selected for assessment. Eight combinations of explicit algebraic stress and heat-flux models are used in predicting the turbulent gas flows with intense heating, which yields the significant property-variation. The results showed that the two combinations of GS-AKN and WJ-mAKN predicted the Nusselt number and the axial wall temperature variations well and that the predictions of Nusselt number with WJ-combinations spread in a wider range than those with Gs-combinations. WJ is the explicit algebraic stress model of Wallin and Johansson and GS is the model of Gatski and Speziale and that AKN is the explicit heat-flux model of Abe, Kondoh and Nagano and mAKN is the modified AKN.

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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라그랑지 입자 모델을 이용한 k-ε Algebraic Stress Model과 Mellor-Yamada Model의 비교 연구 (A Comparative Study of k-ε Algebraic Stress Model and Mellor-Yamada Model Applied to Atmospheric Dispersion Simulation Using Lagrangian Particle Dispersion Model)

  • 김상백;오성남
    • 한국대기환경학회지
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    • 제20권1호
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    • pp.47-58
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    • 2004
  • The $textsc{k}$-$\varepsilon$ algebraic stress model (KEASM) was applied to atmospheric dispersion simulation using the Lagrangian particle dispersion model and was compared with the most popular turbulence closure model in the field of atmospheric simulation, the Mellor-Yamada (MY) model. KEASM has been rarely applied to atmospheric simulation, but it includes the pressure redistribution effect of buoyancy due to heat and momentum fluxes. On the other hand, such effect is excluded from MY model. In the simulation study, the difference in the two turbulence models was reflected to both the turbulent velocity and the Lagrangian time scale. There was little difference in the vertical diffusion coefficient $\sigma$$_{z}$. However, the horizontal diffusion coefficient or calculated by KEASM was larger than that by MY model, coincided with the Pasquill-Gifford (PG) chart. The applicability of KEASM to atmospheric simulations was demonstrated by the simulations.s.

대수응력 난류 모델의 선체주위 점성유동해석에의 적용 (Application of Algebraic Stress Model to the Calculation of the Viscous Flow around a Ship)

  • 오건제;최정은
    • 한국전산유체공학회지
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    • 제5권1호
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    • pp.22-26
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    • 2000
  • The flow around a ship is complex, especially, at the stern region of a full ship, where highly curved streamlines, hook-shaped iso-velocity contours, and strong secondary flow exist. To resolve this complex flow, an Algebraic Stress Model(ASM) is applied. The calculations are performed for the HSVA Tanker. The results are improved comparing with those of standard k-ε turbulence model, but still show a little difference from the experiments.

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정사각단면을 갖는 $180^{\circ}$ 곡관내의 2차 모멘트 난류모형에 관한 연구 (Study on the Second Moment Turbulence Model in a Square Sectioned $180^{\circ}$ Bend)

  • 김명호;염성현;최영돈
    • 대한기계학회논문집
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    • 제18권5호
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    • pp.1203-1217
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    • 1994
  • In the present study, in order to analyze a turbulent flow in a square sectiond 180.deg. bend, Kim's low Reynolds number second moment turbulence closure is adopted. In this model, turbulence model constants in the wall region are modified as functions of turbulent Reynolds number by use of near wall turbulent universal properties based on Laufer's experimental results of Reynolds stress distriburions. Algebraic stress model and Reynolds stress equation model are used to verify the low Reynolds number second moment closure. The application of the present low Reynolds number algebraic stress model to the prediction of a square sectioned 180.deg. bend flow gives improved velocities and Reynolds stresses profiles compared with those obtained by using the van Driest mixing length model and present low Reynolds number Reynolds stress equation model.

직사각형 공동 내부 자연연대류 문제에 대한 k-epsilon-vv-f 난류모델의 평가 (Evaluation of the K-Epsilon-VV-F Turbulence Model for Natural Convection in a Rectangular Cavity)

  • 최석기;김성오;김의광;최훈기
    • 한국전산유체공학회지
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    • 제7권4호
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    • pp.8-18
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    • 2002
  • The primary objective of the present study is evaluation of the k-ε-vv-f turbulence model for prediction of natural convection in a rectangular cavity. As a comparative study, the two-layer k-ε model is also considered. Both models, with and without algebraic heat flux model, are applied to the analysis of natural convection in a rectangular cavity. The performances of turbulence models are investigated through comparison with available experimental data. The predicted results of vertical velocity component, turbulent heat fluxes, turbulent shear stress, local Nusselt number and wall shear stress are compared with experimental data. It is shown that, among the turbulence models considered in the present study, the k-ε-vv-f model with an algebraic heat flux model predicts best the vertical mean velocity and velocity fluctuation, and the inclusion of algebraic heat flux model slightly improves the accuracy of results.

대수 레이놀즈 응력모델에 의한 단이 진 벽면분류에 대한 수치해석 (Numerical Analyses on Wall-Attaching Offset Jet with Algebraic Reynolds Stress Model)

  • 서호택;이득수;부정숙
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집B
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    • pp.579-584
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    • 2000
  • Algebraic Reynolds Stress (ARS) model is applied in order to analyze the turbulent flow of wall-attaching offset jet and to evaluate the model's predictability. The applied numerical schemes are upwind scheme and skew-upwind scheme. The numerical results show good prediction in first order calculations (i.e., reattachment length, mean velocity, pressure), while they show slight deviations in second order (i.e., kinetic energy and turbulence intensity). By comparison with the previous results using $k-{\varepsilon}$ model, ARS model predicts better than the standard $k-{\varepsilon}$ model, however, predicts slightly worse than the $k-{\varepsilon}$ model including the streamline curvature modification. Additionally this study can reconfirm that skew-upwind scheme has approximately 25% improved predictability than upwind scheme.

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$180^{\circ}$곡관을 갖는 정사각 단면 덕트에서의 란류류동 해석 (Analysis of Turbulent Flow in a Square Duct with a $180^{\circ}$ Bend)

  • ;김명호;문찬;최영돈
    • 대한기계학회논문집
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    • 제12권3호
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    • pp.607-621
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    • 1988
  • 본 연구에서는 미세격자구역에서 속도에 관한 모든 운송방정식(transport equation)과 압력방정식을 푸는 완전미세격자법을 채택하였고 거친 격자구역에서는 K, $\varepsilon$ 방정식모델과 Boussinesq의 난류모델로 과점성계수를 구하는 방법 대신 레이놀 즈응력을 대수식으로 직접 구하는 대수응력모델(algebraic stress model, ASM)을 사용하여 해석하였다.