• 대한기계학회논문집
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• 제10권1호
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• pp.121-130
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• 1986

Using the sbsorption coefficients and the weighting factors of the gray gas, the total emissivities of C $O_{2}$- $H_{2}$O and C $O_{2}$- $H_{2}$O- transient species-soot gas mixtures can be expressed by the following equation, [a numerical formula] Where, $a_{i}$ and $K_{i}$ represent the weighting factor and the absorption coeffient of i-gray gas respectively; L is the pathlength of the gas. This equation is widely used for the analyses of the radiation heat transfer in the combustors of internal combustion engines and in the furnace of external combustion engines. In this work, a simple calculation model of the weighting factor and the absorption coeffient of the above equation was developed. The weighting factors and the absorption coefficients of combustion products were calculated by applying the model to various kinds of fossil fuels such as coal and heavy oil. Then, the computed total emissivities for each fuel and pathlength were compared with measured and calculated values which have been already published in the literatures. The followings were the results obtained through the comparisons between the calculated emissivites and the published values; the developed model for the calculations of the weighting factor and the absorption coefficient of C $O_{2}$- $H_{2}$O and C $O_{2}$- $H_{2}$O- transient species-soot gas mixtures could be applied over the wide ranges of the temperature and the pathlength; the errors between the total emissivities calculted and the values published were maximum 10%, and average 1%, respectively.

• 대한기계학회논문집B
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• 제27권2호
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• pp.227-235
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• 2003

The WSGG-based narrow band model was employed to solve the radiative transfer equations along isothermal and non-isothermal paths through $CO_2-H_2O-N_2$ gas mixtures at 1 atm. When the WSGGM is applied for arbitrary gas mixtures by considering the multiplication property of transmissivity in overlapping bands, the number of gray gases is significantly increased. To reduce the computation time, three different regrouping methods for the gray gases are tested in obtaining the mean absorption coefficient for each gray gas group. Among them, the regrouping method by minimizing the regrouping error shows the best results. For the isothermal media, 10 gray gases show fairly good agreement with the results by statistical narrow band(SNB) model which are regarded as reference solutions. For non-isothermal media, 20 gray gases show good agreement with reference solutions.

• 대한기계학회논문집
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• 제13권2호
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• pp.265-270
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• 1989

본 연구에서는 복사강도를 반구에 대하여 적분하여 비정상 미분방정식의 형태로 로 얻어지는 2-유속 회매질복사모델을 사용하여 복사전달방정식을 구성하고, 전술한 Yoshizawa 등의 가정을 배제하면서, 다공매질의 물리적 길이, 흡수계수 및 혼합기체의 당량비(equivalenceratio) 등을 변화시킴으로써 매질 내의 열적 구조를 분석하여 그들의 의 연구를 확장, 해석한다.

• 대한기계학회논문집B
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• 제23권5호
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• pp.628-636
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• 1999

This work describes the low-resolution spectral modeling of the water vapor, carbon dioxide and their mixtures by applying the weighted-sum-of-gray-gas-gases model (WSGGM) to each narrow band. Proper modeling scheme of gray gas absorption coefficients vs temperature relation is suggested. Comparison between the modeled emissivity calculated from this relation and the 'true' emissivity obtained from the high temperature statistical narrow band parameters is made for a few typical narrow bands. Low resolution spectral intensities from one-dimensional layers are also obtained and examined for uniform, parabolic and boundary layer type temperature profiles using the obtained WSGGM's with several gray gases. The results are compared with the narrow band spectral intensities obtained by a narrow band model-based code with Curtis-Godson approximation. Good agreement is found between them. Data bases including optimized modeling parameters and total and low-resolution spectral weighting factors are developed for water vapor, carbon dioxide and their mixtures. This model and obtained data bases, available from the authors' Internet site, can be appropriately applied to any radiative transfer equation solver.

• 대한기계학회논문집B
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• 제20권10호
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• pp.3371-3380
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• 1996

각종 노(furnace)를 포함하여 보일러, 가스터빈, 우주선 추진기구, 원자로 및 연료전지 등 고온이 열전달 문제를 다루는데 있어서 복사 열전달 연구는 매우 중요하다. 이러한 복사열전달에 대한 연구동향은 최근 복사 물성치(특히 가스에서의)를 예측하기 위한 이론 모델의 개발 및 측정분야와 복사전달 방정식의 해를 비교적 간단하게 구하기 위한 근사해법에 대한 연구로 크게 대별되고 있다. 이러한 두가지 연구방햐은 완전히 분리, 독립되어 있는 것은 아니며 서로 많은 연관성을 가지고 있다. 특히, 비회체가스(nongray gas)의 복사 성질에 대한 모델링은 근사 해법의 계산결과에 큰 영향을 미치게 되므로 가스의 복사 성질의 예측은 매우 중요한 연구 과제가 된고 있다. a Low resolution spectral modeling of water vapor is carried out by applying the weighted-sum-of-gray-gases model (WSGGM) to a narrow band. For a given narrow band, focus is placed on proper modeling of gray gas absorption coefficients vs. temeprature relation used for any solution methods for the Radiative Transfer Equation(RTE). Comparison between the modeled emissivity and the "true" emissivity obtained from a high temperatue statistical narrow band parameters is made ofr the total spectrum as well as for a few typical narrow bands. Application of the model to nonuniform gas layers is also made. Low resolution spectral intensities at the boundary are obtained for uniform, parabolic and boundary layer type temeprature profiles using the obtained for uniform, parabolic and boundary layer type temperature profiles using the obtained WSGGM's with 9 gray gases. The results are compared with the narrow band spectral intensities as obtained by a narrow band model-based code with the Curtis-Godson approximation. Good agreement is found between them. Local heat source strength and total wall heat flux are also compared for the cases of Kim et al, which again gives promising agreement.

• 항공우주기술
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• 제8권1호
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• pp.17-25
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• 2009

복사전달식에서 흡수 계수의 정확한 계산은 액체 엔진 저부의 단열재 설계의 입력 값으로 사용되는 플룸의 복사 열전달을 예측하는데 매우 중요하다. 이를 위해서 가스 흡수 계수를 직접 모델링 할 수 있는 WNB 모델을 중요 인자의 선정을 위주로 설명하였고, 그 결과를 비교적 정확한 기준 값을 제공하는 SNB의 결과와 비교하였다. 비교 인자들은 총 방사율, 좁은밴드 복사강도 및 총 복사강도이며, 결과적으로 방사율의 경우 주어진 조건에서 3.1% 이내, 총 복사 강도역시 5%이내의 계산결과를 보여 이 모델의 타당성을 확인할 수 있었다. 추가적으로, 액체 엔진의 연소가스들의 성분비를 예측하고 이 조건에 대한 가스모델링 인자를 계산하여 데이터베이스를 구축하였다.

• 태양에너지
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• 제15권3호
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• pp.91-103
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• 1995

튜브 내의 입구영역에서 대류와 비회복사(mon-gray radiation)가 동시에 일어날 때의 열전달 특성을 수치해석적으로 연구하였다. 작동유체는 이산화탄소, 수증기, 질소의 혼합가스라 하였고, 유동은 속도장과 온도장이 동시에 발달하는 층류 유동으로 가정하였다. 복사전달방정식을 풀기 편하게 하기 위해 P-1 근사법이 사용되었고 혼합가스의 비회흡수계수(non-gray sbsorption coefficient)는 지수광폭밴드모형(exponential wide band model)을 이용해서 구하였다. 열전달 특성에 대한 온도조건의 영향을 조사하기 위해 튜브의 축방향에 대한 평균온도와 뉴셀트수(Nusselt number)의 변화를 몇 가지 다른 온도조건에 대해 나타내었다. 속도장과 온도장이 동시에 발달하는 경우의 뉴셀트수를 속도장은 완전히 발달되어 있고 온도장만 발달하는 경우의 뉴셀트 수와 비교하였다. 또한, 가스의 성분조성이 대류와 비회복사 뉴셀트수에 미치는 영향을 조사하였다.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 1999년도 춘계 학술대회논문집
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• pp.199-204
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• 1999

Three dimensional numerical analysis for the turbulent reactive flow and radiative heat transfer in the walking beam type of a reheat furnace in POSCO has been carried out by the industrial code FLUENT. Computations an based on the conservation equations of mass, momentum, energy and species with the $k-{\varepsilon}$ turbulence model and mixture fraction/PDF(Probability Density Function) approach for the combustion rate. Radiative heat transfer is computed by the discrete ordinates radiation model in combination with the weighted-sum-of-gray-gas model for the absorption coefficient of gas medium. The predicted temperture distribution in the reheat furnace and energy flow fractions are in reasonable agreement with the measurement data.