• Title/Summary/Keyword: eddy diffusivity

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A novel analytical approach for advection diffusion equation for radionuclide release from an area source

  • Esmail, S.;Agrawal, P.;Aly, Shaban
    • Nuclear Engineering and Technology
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    • v.52 no.4
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    • pp.819-826
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    • 2020
  • The method of the Laplace transform has been used to obtain an analytical solution of the three-dimensional steady state advection diffusion equation for the airborne radionuclide release from any nuclear installation such as the power reactor in an area source. The present treatment takes into account the removal of the pollutants through the nuclear reaction. We assume that the pollutants are emitted as a constant rate from the area source. This physical consideration is achieved by assuming that the vertical eddy diffusivity coefficient should be a constant. The prevailing wind speed is a constant in 𝑥- direction and a linear function of the vertical height z. The present model calculations are compared with the other models and the available data of the atmospheric dispersion experiments that were carried out in the nuclear power plant of Angra dos Reis (Brazil). The results show that the present treatment performs well as the analytical dispersion model and there is a good agreement between the values computed by our model and the observed data.

Turbulence Structures of Flow in Concentric Annuli with Rough Outer Wall (외벽에 거칠기가 있는 이중동심관 유동의 난류구조)

  • 김경천;안수환;이병규
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.9
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    • pp.2443-2453
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    • 1994
  • The structure of turbulence of fully developed flow through four concentric annuli with the rough outer wall was investigated experimentally for a Reynolds number range Re=15, 000-93, 000. Turbulence intensities were measured in three(u, v, w) directions, and turbulence shear stresses in annuli of radius=0.13, 0.26, 0.4 and 0.56, respectively. Due to the square roughness element attached periodically along the axial direction, the radial velocity fluctuations show similar distribution regardless of the different .alpha.cases. However, the axial and circumferential velocity fluctuation profiles demonstrate the longitudinal turbulence structures are strongly influenced by the .alpha. values. The turbulent eddy viscosity deduced form mean velocity distributions and the measured Reynolds shear stresses are also presented and discussed.

Effect of Surface Roughness on Turbulent Concentric Annular Flows (난류 이중동심관 유동에 미치는 표면거칠기 효과)

  • 김경천;안수환;정양범
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.7
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    • pp.1749-1757
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    • 1995
  • The structure of turbulence of fully developed flow through three concentric annuli with both rough inner and outer walls was investigated experimentally for Reynolds number range Re=15000-93000. Turbulence intensities were measured in three (u, v, w) directions, and turbulence shear stresses in annuli of radius ratios .alpha.= 0.26, 0.4 and 0.56, respectively. The result showed that the structure of turbulence for these asymmetric flows was not the same as that for the annulus with smooth walls. The velocity fluctuations of all three components (u, v, and w-directions) showed little discernible variation with Reynolds numbers, but became apparent with the influence of radius ratio (.alpha.) The experimental results for an annulus with the roughened outer wall and a smooth annulus were shown in the figures as a reference. The eddy diffusivities and friction factors were also presented and discussed.

Aerodynamic resistance and eddy diffusivity above the plug stand under artificial light (인공광하에서 공정육묘 개체군상의 공기력학적 저항 및 확산계수)

  • 김용현;고재풍수
    • Proceedings of the Korean Society for Bio-Environment Control Conference
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    • 1996.10a
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    • pp.76-80
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    • 1996
  • 공정육묘는 기후의 영향을 쉽게 받는 자연광하에서 대부분의 생산이 이루어지기 때문에 계획적인 묘생산이 어렵게 된다. 향후 식물공장(Plant factory) 또는 폐쇄생태계생명유지시스템(Controlled ecological life support system, CELSS)과 같이 폐쇄도가 높은 식물생산 시스템에서는 식물종묘 생산의 대부분이 인공광을 이용한 조건에서 이루어질 것으로 예상된다. (중략)

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Application of Lumley's Drag Reduction Model to Two-Phase Gas-Particl Flow in a Pipe(II) - Mechanism of Heat Transfer- (고체 분말이 부상하는 2상 난류 수직관 유동에 대한 Lumley의 저항감소 모델의 적용 (II) - 열전달 기구 -)

  • 한기수;정명균;성형진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.1
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    • pp.214-224
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    • 1990
  • A "two-fluid" model using thermal eddy diffusivity concept and Lumley's drag reduction theory, is proposed to analyze heat transfer of the turbulent dilute gas-particle flow in a vertical pipe with constant wall heat flux. The thermal eddy diffusivity is derived to be a function of the ratio of the heat capacity-density products .rho. over bar $C_{p}$ of the gaseous phase and the particulate phase and also of the ratio of thermal relaxation time scale to that of turbulence. The Lumley's theory dictates the variation of the viscous sublayer thickness depending on the particle loading ratio Z and the relative particle size $d_{p}$/D. At low loading ratio, the size of viscous sublayer thickness is important for suspension heat transfer, while at higher loading, the effect of the ratio .rho. $_{p}$ over bar $C_{p}$$_{p}$/ .rho. $_{f}$ over bar $C_{p}$$_{f}$ is dominant. The major cause of decrease in the suspension Nusselt number at lower loading ratio is found to be due to the increase of the viscous sublayer thickness caused by the suppression of turbulence near the wall by the presence of solid particles. Predicted Nusselt numbers using the present model are in satisfactory agreements with available experimental data both in pipe entrance and the fully developed regions.

Eddy Diffusion in Coastal Seas: Observation and Fractal Diffusion Modelling (연안역와동확산: 관측 및 프랙탈 확산 모델링)

  • 이문진;강용균
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.9 no.3
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    • pp.115-124
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    • 1997
  • We measured the variance of eddy diffusion and associated ‘diffusion coefficients’ in coastal regions of Korea by observing the separation distances among multiple drifters deployed simultaneously at the same initial position. The variance of eddy diffusion was found to be proportional to $t^m$, where t is the time and m is a non-integer scaling exponent between 1.5 and 3.5. The observed scaling exponent of eddy diffusion cannot be reproduced by diffusion models employing constant eddy diffusivity. In this study, we applied fractal theory in simulating exponential increase of variance of eddy diffusion. We employed the fGn(fractional Gaussian noise) as a ‘modified’ random walks corresponding to the oceanic eddy diffusion. The variance of eddy diffusion, which corresponds to the fBm(fractional Brown motion) of our diffusion model, is proportional to $t^{2H}$, where H is Hurst scaling exponent. The temporal increase of the variance. with scaling exponent between 1 and 2, was successfully reproduced by our fractal diffusion model. However, our model cannot reproduce scaling exponent greater than 2. The scaling exponents greater than 2 are associated with the velocity shear of the mean flow.

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REYNOLDS NUMBER EFFECTS ON MASS TRANSFER IN TURBULENT PIPE FLOW: PART I. MEAN CONCENTRATION FIELD AND LOW-ORDER STATISTICS (난류 파이프 유동 내 물질전달에 대한 레이놀즈 수 영향: Part I. 평균 농도장 및 저차 난류통계치)

  • Kang, Chang-Woo;Yang, Kyung-Soo
    • Journal of computational fluids engineering
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    • v.17 no.3
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    • pp.1-10
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    • 2012
  • Large Eddy Simulation(LES) of turbulent mass transfer in fully developed turbulent pipe flow has been performed to study the effect of Reynolds number on the concentration fields at $Re_{\tau}=180$, 395, 590 based on friction velocity and pipe radius. Dynamic subgrid-scale models for the turbulent subgrid-scale stresses and mass fluxes were employed to close the governing equations. Fully developed turbulent pipe flows with constant mass flux imposed at the wall are studied for Sc=0.71. The mean concentration profiles and turbulent intensities obtained from the present LES are in good agreement with the previous numerical and experimental results currently available. To show the effects of Reynolds number on the turbulent mass transfer, the mean concentration profile, root-mean-square of concentration fluctuations, turbulent mass fluxes, cross-correlation coefficient, turbulent diffusivity and turbulent Schmidt number are presented.

LES of Supercritical Combustion of Shear-coaxial Injector of a Methane-LOx Liquid Rocket Engine (액체로켓(메탄-LOx) 동축인젝터의 초임계 연소 LES 연구)

  • Heo, Jun-Young;Kim, Kuk-Jin;Sung, Hong-Gye;Yang, Vigor
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2010.05a
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    • pp.190-193
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    • 2010
  • The turbulent mixing and combustion of a shear coaxial injector under supercritical pressures have been theoretically/numerically investigated. Turbulent numerical model is based on large eddy simulation with real-fluid transport and thermodynamics over the entire pressure; Soave modification of Redlich-Kwong equation of state, Chung's model for viscosity/conductivity, and Fuller's theorem for diffusivity to take account Takahashi's compressible effect. The results are compared with previous researcher's. The large-scale vortices shedding from the outer rim into the recirculation region to react with gaseous oxygen was investigated.

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A Study on the Distribution of Air Pollutant Concentration According to Micrometeorological Characteristics (미기상 특성에 따른 대기오염 농도분포에 관한 연구)

  • Kim, Yoo-Keun;Hong, Jung-Hae;Jeon, Byung-Il
    • Journal of Environmental Science International
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    • v.3 no.1
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    • pp.31-38
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    • 1994
  • The diffusion of the pollutants released into atmosphere is dependent on its chemical reaction, topography and micrometeorological characteristics. The purpose of the study is to investigate how much micrometeorological characteristics such as stability, wind speed and mixing height affect the diffusion of the air pollutants. For this purpose, this paper let 1) the basic theory be K-theory, 2) eddy diffusivity and wind speed be dependent on mixing height and stability, and 3) Grout method be used for numeric calculation. The result was 1) the more unstable condition, the higher mixing height and the higher wind speed we, the lower pollutants concentration appears, 2) the most intensive effect on the distribution of the pollutant concentration is the atmospheric stability.

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