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

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The Development of Leaves in Amaranthus retroflexus and Chenopodium album Represented by the Plastochron(I. The Derivation of the Plastochron Index) (Plastochron 에 의한 Amaranthus retroflexus 와 Chenopodium album 의 잎의 성장 해석 1. Plastochron Index 의 유도)

  • Park, Bong-Kyu;Joung-Hee Kim
    • The Korean Journal of Ecology
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    • v.8 no.1
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    • pp.1-5
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    • 1985
  • The plastochron index (PI) provides possibility on studies of the effects of various environmental factors on morphological and physiological development of plants. The PI of Erickson and Michemlini(1957) could be used merely when leaf n is longer an leaf n+1 is smaller than the references length at any time. If both the lengths of leaf n and n+1 are smaller or longer than the reference length, it could not estimated. In this study, the PI of Erickson and Michelini was complemented and the linear patterns according to leaf arrangement was represented, PI is n-(lnLR-lnLn)/(lnLn-lnLn+1). And when both the lengths of leaf n and n+1 are longer than the length of reference, PI is n+1+(ln Ln+1-lnLR)/(lnLn-lnLn+1). The linear model of PI is changed by the various environmental factors and the linear patterns are different according to leaf arrangement. According to leaf arrangement, the equation of the general regression lines is Yin-(i-j)=a-(n-1)(q1+...+qi-1)-(q1+...+qj-1)+rt+$\varepsilon$. Where Y:the logarithmic of the leaf length in question, i:leaf number hang on the one node, n:the number counting from base, q:spacing on the Y-axis, j:0, 1, 2, ..., r:slope, t:time, $\varepsilon$:error.

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Turbulent Natural Convection in a Square Enclosure Containing Internal Heat Generating Fluid (내부 발열유체를 가진 정사각 밀폐공간에서의 난류자연대류)

  • 이재헌;김석현;정종화;박만흥
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.1
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    • pp.112-121
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    • 1992
  • A numerical analysis was carried out to study two-dimensional turbulent natural convection in a square enclosure containing fluid of Prandtl number 6.05 within internal energy sources. The square enclosure was bounded by four rigid planes of constant equal temperature. Inclination angles of 0, 15, 30 and 45 deg. from the horizon for Rayleigh numbers from 1 * 10$^{6}$ to 1 * 10$^{9}$ were studied. Local and average Nusselts numbers are obtained on all four walls. If inclination angle exists, the average Nusselt number appears in increasing order at bottom, left, right and top wall.

Nd-Sr Isotope and Gas Composition for the Sangdong Granites Related to the Tungsten-Molybdenum Ore Mineralization (상동 중석-몰리브덴 광상의 광화관련 상동화강암의 Nd-Sr 동위원소비 및 가스 성분)

  • Kim, Kyu Han;Shin, Yu Hee
    • Economic and Environmental Geology
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    • v.28 no.2
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    • pp.139-145
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    • 1995
  • Tungsten skarn mineralization of the Sangdong mine is localized in the interbedded limestone layers of the Myobong Slate Formation and in the limestone of the Pungchon Limestone Formation of Cambrian age. Fluid inclusion, gas composition and Nd-Sr isotope for granites and skarns have been investigated. Gas compositions show $CO_2$ rich in the Sangdong granite and CH, rich in the Nonggeori and Eopyeong granites. The initial $^{87}Sr/^{86}Sr$ and $^{143}Nd/^{144}Nd$ ratios of the Sangdong granites have 0.714~0.716(${\varepsilon}_{Sr}$=138~162) and 0.51173~0.51178(${\varepsilon}_{Nd}$=-14.4~15.5), respectively. And their two stage model ages range from 1687 to 1764 Ma. The granite characterized by high strontium initial ratios and negative eNd value could have originated from the old continental crust source. Low homogenization temperature of the Sangdong granite having $203{\sim}296^{\circ}C$ with 1.9~9.2 NaCl equiv. wt% indicates the post-magmatic hydrothermal alteration temperature. Skarn ore fluid responsible for tungsten mineralization has been evolved from CH, rich fluid of early pyroxene garnet skarn to $CO_2$ rich later quartz-mica skarn.

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A Numerical Analysis of Turbulent Flow Field and Heat Transfer in a Three Dimensional Room with a Heat Generating Obstacle (3차원 실내공간의 가열장애물에 대한 열전달 및 난류유동의 수치해석)

  • 정효민
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.31 no.1
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    • pp.107-119
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    • 1995
  • Turbulent flow characteristics and heat transfer in a three-dimensional room with a desk-type heat generating obstacle have been investigated numerically by the k-$\varepsilon$ two equation turbulence model. The room mole has one supply opening on the ceiling and two exhaust openings on the side walls. Th results of the flow structure and heat transfer have been represented for air for the inlet velocities in the range 0.1-10.0m/s. As the results of the three dimensional simulations, the relationships between mean Nusselt number and Reynolds number are clarified.

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Numerical Study for 3D Turbulent Flow in High Incidence Compressor Cascade (고입사각 압축기 익렬내의 3차원 난류유동에 관한 수치적 연구)

  • 안병진;정기호;김귀순;임진식;김유일
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2002.04a
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    • pp.35-40
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    • 2002
  • A numerical analysis based on two-dimensional and three-dimensional incompressible Navier-Stokes equations has been carried out for double-circular-arc compressor cascades and the results are compared with available experimental data at various incidence angles. The 2-D and 3-D computational codes based on SIMPLE algorithm adopt pressure weighted interpolation method for non-staggered grid and hybrid scheme for the convertive terms. Turbulence modeling is very important for prediction of cascade flows, which are extremely complex with separation and reattachment by adverse pressure gradient. In this paper k-$\varepsilon$ turbulence model with wall function is used to increase efficiency of computation times.

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Dielectric Relaxation in Ethylene Glycol - Dimethyl Sulfoxide Mixtures as a Function of Composition and Temperature

  • Undre, P.B.;Khirade, P.W.;Rajenimbalkar, V.S.;Helambe, S.N.;Mehrotra, S.C.
    • Journal of the Korean Chemical Society
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    • v.56 no.4
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    • pp.416-423
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    • 2012
  • Using time domain reflectometry, the complex dielectric spectra between 10 MHz to 20 GHz has been measured in the whole composition range at 10, 20, 30 and $40^{\circ}C$ for the binary mixtures of ethylene glycol and dimethyl sulfoxide. For all the mixtures, only one dielectric loss peak was observed in this frequency range. The relaxation in these mixtures can be described by a single relaxation time using the Debye model. A systematic variation is observed in dielectric constant (${\varepsilon}_0$) and relaxation time (${\tau}$). The excess permittivity (${\varepsilon}^E$), excess inverse relaxation time $(1/{\tau})^E$, Kirkwood correlation factor (g) and thermodynamic parameters viz. enthalpy of activation (${\Delta}H$) and Gibbs free energy of activation (${\Delta}G$) have been determined, to confirm the formation of hydrogen bonded homogeneous and heterogeneous cooperative domains, the dynamics of solute - solute interaction and the hindrance to molecular rotation in the hydrogen bonded glass forming ethylene glycol - dimethyl sulphoxide system.

Numerical Predictions of Fire Characteristics of Passenger Train Fire in an Underground Subway Tunnel, Depending on Change of Location of Ventilation Facility (지하철 터널내의 객차 화재발생시 환기실 위치변화에 따른 화재특성의 수치적 연구)

  • Son, Bong-Sei;Chang, Hee-Chul
    • Fire Science and Engineering
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    • v.22 no.5
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    • pp.1-8
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    • 2008
  • The study is to perform numerical analysis of train fire characteristics in an underground subway tunnel, depending the different locations of ventilation facility. To study the characteristics of train fire, two kinds of worst-case scenarios are selected, based on escape distance, escape time, and fire zone, and trends and thermal environments of tunnel are analyzed by changing the locations of ventilation facility for times. Fire characteristics is calculated by using FLUENT v.6.3.26, and turbulent flow is calculated by using the standard k-${\varepsilon}$ model. The numerical results show distribution of carbon monoxide concentration, temperature, and velocity. The results of this study will contribute to building the most suitable ventilation systems when designing subway stations and tunnels.

Experimental and Numerical Studies of the Flowfield around an Axisymmetric Body (축대칭 물체 주위유동의 실험적·수치적 연구)

  • Ahn, Jong-Woo;Song, In-Haeng;Park, Tae-Sun
    • Journal of the Society of Naval Architects of Korea
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    • v.34 no.3
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    • pp.9-18
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    • 1997
  • Experimental and numerical studies are carried out to investigate flow characteristics around an axisymmetric body with and without a compound propulsor. The effects of a compound propulsor are investigated as measuring the surface pressure distribution and the velocity profiles using LDV system in the cavitation tunnel of KRISO. The incompressible Reynolds-Averaged Navier-Stokes(RANS) equations are also solved using the finite volume method. The standard k-${\varepsilon}$ turbulence model is adopted for turbulence closure. In order to calculate propeller-hull interaction, the induced velocity calculated by lifting surface theory is considered as the boundary condition at the propeller plane. The experimental data obtained in this study can provide a useful database for development and validation of CFD code.

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The Change of Backlayer Length with the Ventilation Air Velocity in the Tunnel Fire (터널화재에서 환기속도와 backlayer의 길이변화)

  • 김성준;이민규
    • Fire Science and Engineering
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    • v.17 no.3
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    • pp.50-54
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    • 2003
  • The backlayer phenomena of smoke in the road tunnel is evaluated through numerical experiments. A commercial code, PHOENICS is used to simulate smoke flow in the road tunnel. The independent and dependent variables are ventilation air velocity and the length of backlayer of smoke respectively. Hybrid scheme and $textsc{k}-\varepsilon$ turbulence model is adopted in the simulation process and mass residual is used as a convergence criterion. The experimental results say that the length of backlayer is reduced linearly with the increase of ventilating air velocity and that there is a critical air velocity which prevents from the onset of backlayering phenomena. One finds that there is a fresh air region near the bottom of tunnel which could make the passenger escape from the region polluted by smoke. These phenomena come from the severe vertical stratification of the smoke air mixture in the tunnel.

Numerical Study of the Flow Field Around an Axisymmetric Body with Integrated Propulsors (복합추진장치가 포함된 축대칭 물체 주위유동의 수치적 연구)

  • Jong-Woo Ahn;Il-Sung Moon;Sang-Woo Pyo;Jung-Chun Suh
    • Journal of the Society of Naval Architects of Korea
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    • v.36 no.4
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    • pp.1-8
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    • 1999
  • Numerical study is carried out to investigate flow characteristics around an axisymmetric body with and without an integrated propulsor. The incompressible Reynolds-Averaged Navier-Stokes(RANS) equations are also solved using the finite volume method and the standard $k-\varepsilon$ turbulence model for turbulence closure. In order to investigate the propulsor-hull interaction, the induced velocity calculated by surface panel methods is utilized for the boundary condition at the propeller plane. The calculated results are compared to the experimental results. It is considered that the present numerical code can be used for design of an integrated propulsor.

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