• 제목/요약/키워드: Semi-empirical equation

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화염편모델을 이용한 층류확산화염장의 매연 생성 및 산화과정 해석 (Flamelet Modelling of Soot Formation and Oxidation in a Laminar $CH_4$-Air Diffusion Flame)

  • 김군홍;김후중;김용모;김성구
    • 한국연소학회:학술대회논문집
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    • 대한연소학회 2003년도 제27회 KOSCO SYMPOSIUM 논문집
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    • pp.3-9
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    • 2003
  • By utilizing a semi-empirical soot model, the applicability of the laminar flamelet concept for simulating the formation and oxidation of soot in the laminar diffusion flame has been studied. The source terms for two transport equations of the soot formation and oxidation are calculated in the mixture fraction/scalar dissipation rate space for laminar flamelets and stored in a library. In this study, emphasis is given to the interaction associated with radiation and soot formation. The radiative heat loss is obtained by solving the radiative transfer equation using the unstructured grid finite volume method with the WSGGM. The calculated temperatures and soot volume fractions agree relatively well with the experimental data and the previous numerical results of Kaplan et al. using the detailed chemistry.

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초임계 유체를 위한 분자 클러스터 기반의 격자모델 (A Lattice Model Based on Molecular Clusters for Supercritical Fluids)

  • 신문삼
    • 한국산학기술학회:학술대회논문집
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    • 한국산학기술학회 2010년도 춘계학술발표논문집 2부
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    • pp.961-964
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    • 2010
  • A semi-empirical fluctuation term is presented to improve a classical equation of state (EOS) for volumetric properties in the critical region. The term is based on the two assumptions: (1) The Helmholtz energy is individually divided into classical and long-range density fluctuation contribution (2) All molecules form cluster near the critical region due to long-range density fluctuation. To formulate such molecular cluster, we extended the Veytsman statistics originally developed for the cluster due to hydrogen bonding. The probability function in the statistics is modified to represent the characteristics of long-range density fluctuation vanishing far from critical region. The proposed fluctuation contribution was incorporated into the Sanchez-Lacombe EOS and the combined model with 6 adjustable parameters has been tested against experimental VLE data. The combined model is found to well represent flatten critical isotherm for methane and top of the coexistence curve for the tested components. The prediction results for caloric data are in good agreement with the experimental data.

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알루미늄을 이용한 고에너지 추진제의 성능 예측 (Performance Prediction of Aluminized High Energy Propellant)

  • 임유진
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 1996년도 제6회 학술강연회논문집
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    • pp.121-127
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    • 1996
  • To compare the performance of aluminized solid propellants, the theoretical calculation was performed for the propellants using HTPB and PEG binder and four kinds of oxidizers such as AP, HMX, ADN, and HNIW. PEG/HMX/Al and PEG/HNIW/Al showed the maximum performance at 17% of aluminum level and there was no difference in maximum performance when HMX was partially replaced with AP in PEG/HMX/AP/Al propellant. The order of performance magnitude of various propellants which the specific impulse loss calculation was considered by semi-empirical equation was like the following; PEG/HNIW/AI>[$\frac{PEG/HMX/AI}{PEG/HMX/AP/AI}$>HTPB/AP/AI>PEG/ADN/AI

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초고압 $SF_6$가스차단기의 소전류 차단성능 해석기술 II (Evaluation Method II of the Small Current Breaking Performance of SF$_6$-Blown High-Voltage Gas Circuit Breakers)

  • 송기동;이병윤;박경엽;박정후
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제50권8호
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    • pp.384-391
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    • 2001
  • The insulation strength between contacts after current interruption to the transient recovery voltage i.e., the dielectric recovery strength should be estimated for the evaluation of the small capacitive current interruption capability. Many authors have used theoretical and semi-experimental approaches to evaluate the transient breakdown voltage after the current interruption. Moreover, an empirical equation, which is obtained from a series of tests, has been used to estimated the dielectric recovery strength. Un this paper, the theoretical method which is generated from the streamer theory has been applied to real circuit breakers in order to evaluated the interruption capability. The results of analysis have been compared with the test results and the reliability has been investigated.

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MNDO Studies on the Gas-Phase S$_N$2 Reaction$^*$

  • 이익춘;이본수;송창현
    • Bulletin of the Korean Chemical Society
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    • 제6권4호
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    • pp.191-196
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    • 1985
  • The MNDO was found to be the most reliable semi-empirical SCF-MO method for the studies of $S_N2$ reactions involving anion and neutral molecule. The results of our MNDO calculations on the $S_N2$ reactions of $CH_3X$ + $Y^-$$CH_3Y$ + X- where X = H, F, Cl, CN, $CH_3$, and Y = F, $CH_3$ showed that the order of the leaving group ability is the reverse of the order of proton affinities. It was also found that there is no symbiosis involved in the SN2 transition state and the departure of the leaving group is relatively late in contrast to the early bond formation of the nucleophile. The Marcus equation was found to apply to the MNDO barriers and energy changes.

Simultaneous Determination of Diffusion Coefficient and Concentration by Chronoamperometry at a Microdisk Electrode

  • Jung, Yong-Ju;Kwak, Juh-Youn
    • Bulletin of the Korean Chemical Society
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    • 제15권3호
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    • pp.209-213
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    • 1994
  • Two unknown values among three electrochemical values, i.e. electrode area, diffusion coefficient, and concentration, are simultaneously obtained by nonlinear regression analysis of a single chronoamperometric faradaic current curve at a microdisk electrode. The approach is an analytical application of the semi-empirical equation presented by Shoup and Szabo for the chronoamperometric response at a disk electrode. To demonstrate the usefulness and accuracy of this approach, the chronoamperometric current at a platinum disk electrode of 50 ${\mu}m$ radius in solutions of $Ru(NH_3)_6^{3+},\;ferrocene,\;Fe(CN)_6^{3-},\;and\;C_{60}$, were analyzed.

삼천포화력발전소 3, 4호기 증설에 따르는 정밀발파작업으로 인한 인접가동발전기 및 구조물에 미치는 진동영향조사 (On the vibration influence to the running power plant facilities when the foundation excavated of the cautious blasting works)

  • 허진
    • 기술사
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    • 제24권6호
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    • pp.97-105
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    • 1991
  • The cautious blasting works had been used with emulsion explosion electric M/S delay caps. Drill depth was from 3m to 6m with Crawler Drill ø70mm on the calcalious sand stone (soft-moderate-semi hard Rock). The total numbers of fire blast were 88 round. Scale distance were induces 15.52-60.32. It was applied to propagation Law in blasting vibration as follows. Propagation Law in Blasting Vibration (Equation omitted) where V : Peak partical velocity(cm/sec) D : Distance between explosion and recording sites(m) W : Maximum Charge per delay-period of eighit milliseconds o. more(kg) K : Ground transmission constant, empirically determind on the Rocks, Explosive and drilling pattern ets. b : Charge exponents n : Reduced exponents Where the quantity D / W$^n$ is known as the Scale distance. Above equation is worked by the U.S Bureau of Mines to determine peak particle velocity. The propagation Law can be catagrorized in three graups. Cubic root Scaling charge per delay Square root Scaling of charge per delay Site-specific Scaling of charge per delay Charge and reduction exponents carried out by multiple regressional analysis. It's divided into under loom and over 100m distance because the frequency is verified by the distance from blast site. Empirical equation of cautious blasting vibration is as follows. Over 30 ‥‥‥under 100m ‥‥‥V=41(D/$^3$√W)$\^$-1.41/ ‥‥‥A Over 100 ‥‥‥‥under 100m ‥‥‥V=121(D/$^3$√W)$\^$-1.56/ ‥‥‥B K value on the above equation has to be more specified for furthur understang about the effect of explosives, Rock strength. And Drilling pattern on the vibration levels, it is necessary to carry out more tests.

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벽체 허용변위와 양상을 고려한 사질토지반에서 수동측토압 제안 (Proposal of Mobilized Passive Earth Pressure to Allowable Wall Displacement and Movement Types in Sandy Soil)

  • 윤영호;김태형;김태오;우민석
    • 한국지반공학회논문집
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    • 제39권7호
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    • pp.5-15
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    • 2023
  • 수평방향의 토압에 저항하는 흙막이 구조물(옹벽, 가시설 등) 설계에서 수동토압(Passive earth pressure) 산정은 중요한 요소이다. 토압이론에서 주동토압과 수동토압은 벽체 변위가 충분히 발생하여 한계변위에 도달한 한계상태에서의 토압이다. 흙막이 구조물설계에서 수동토압은 저항력으로 고려되는데, 이때, 수동토압이 발생하는 한계변위는 주동토압이 발생하는 한계변위의 10배 이상으로 이 변위를 수동토압산정에 적용하는 것은 비합리적이다. 그러므로 한계변위의 수동토압(Passive earth pressure)이 아닌 임의 크기의 수평변위에서 발생되는 임의 수동토압을 발현수동측토압(Mobilized passive earth pressure)으로 정의하고 흙막이 구조물의 안정성 검토에 발현수동측토압을 적용하는 것이 현실적으로 필요하다고 판단하였다. 본 연구에서는 모래지반에 대하여 문헌조사를 통해 흙막이 구조물의 안정성 확보가 가능한 허용수평변위를 0.002H(H:굴착깊이)로 제안하였으며, 임의수평변위에서 발생되는 발현수동측토압을 산정할 수 있는 반경험식을 사용하였다. 그리고 사질토 지반에서 구해진 발현수동측토압 자료를 바탕으로 실무에서 간단하게 적용할 수 있도록 벽체의 거동양상에 따른 Rankine의 수동토압에 적용 가능한 감소계수를 제안하였다.

S화력발전소 3, 4호기 증설에 따르는 정밀발파작업으로 인한 인접가동발전기및 구조물에 미치는 파동영향조사 (On the vibration influence to the running power plant facilities when the foundation excavated of the cautious blasting works.)

  • 허진
    • 화약ㆍ발파
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    • 제8권1호
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    • pp.3-16
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    • 1990
  • The cautious blasting works had been used with emulsion explosion electric M/S delay caps. Drill depth was from 3m to 6m with Crawler Drill $\varphi{70mm}$ on the calcalious sand stone(sort-moderate-semi hard Rock). The total numbers of feet blast were 88. Scale distance were induces 15.52-60.32. It was applied to propagation Law in blasting vibration as follows. Propagtion Law in Blasting Vibration $V=K(\frac{D}{W^b})^n$ where V : Peak partical velocity(cm/sec) D : Distance between explosion and recording sites (m) W : Maximum Charge per delay-period of eighit milliseconds or more(Kg) K : Ground transmission constant, empirically determind on th Rocks, Explosive and drilling pattern ets. b : Charge exponents n : Reduced exponents Where the quantity $D/W^b$ is known as the Scale distance. Above equation is worked by the U.S Bureau of Mines to determine peak particle velocity. The propagation Law can be catagrorized in three graups. Cabic root Scaling charge per delay Square root Scaling of charge per delay Site-specific Scaling of charge per delay Charge and reduction exponents carried out by multiple regressional analysis. It's divided into under loom and over loom distance because the frequency is verified by the distance from blast site. Empirical equation of cautious blasting vibration is as follows. Over 30m----under l00m----- $V=41(D/3\sqrt{W})^{-1.41}$ -----A Over l00m-----$V= 121(D/3\sqrt{W})^{-1.66}$-----B K value on the above equation has to be more specified for furthur understang about the effect of explosives, Rock strength. And Drilling pattern on the vibration levels, it is necessary to carry out more tests.

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연령 확산 이론에 의한 전자선의 조직내 선량분포 평가 (Evaluation of Electron Beam Dose Distribution by Age Diffusion Equation)

  • 추성실
    • 한국의학물리학회지:의학물리
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    • 제4권1호
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    • pp.29-39
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    • 1993
  • 고에너지 전자선은 방사선치료에서 중요한 역할을 담당하고 있으나 전하를 갖인 입자로서 인체조직과 상호작용이 복잡하여 조직내 전자선량분포를 정확히 표현하기에는 매우 어렵다. 전자선분포를 계산하는 데는 심부율과 평면분포율등 여러방법이 제시되고 있었으나 수학적 모형을 이용하는 것이 가장 신속하고 다양한 계산을 수행할수 있는 수단으로 알려져 왔으며 컴퓨터의 발달과 병행하여 실요화 되고 있다. 저자들은 연령확산방정식을 기초로한 수식적 모델을 도입하고 연세암센터에 설치된 선형가속기에서 측정된 전자선의 분포를 이용하여 실험식의 상수인자를 결정 삽입하므로서 조직내 어떤 깊이 어느 지점에서도 정확한 선량이 계산될 수 있는 실험식을 완성하였다. 사용자는 연령확산 실험식에서 전자선의 에너지와 조사면 그리고 선원간의 거리만 입력하면 조직내 전자선의 심부율과 등선량곡선을 정확히 예측할 수가 있고 고선량부위에서는 위축되고 저선량부위에서는 확산되는 등선량곡선의 모양을 정확히 기술할 수 있으며 컴퓨터에 의한 선량계획은 어떤 입상상태에서도 간단하고 신속하게 표시할 수 있었다. 전자선의 에너지 6-20MeV 에서 심부율의 정확도는 섬부율 50%이상일 때는 2% 이내이며 낮은 심부율 부위에서는 5%의 오차를 가졌고 조사면 6$\times$6$cm^2$에서 25$\times$25$cm^2$에 대한 심부율 오차는 3% 이내이며 확산오차는 3mm 이하로서 정확성이 비교적 높았다.

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