• 제목/요약/키워드: limiting equation

검색결과 132건 처리시간 0.019초

Porosity and Liquid-phase Adsorption Characteristics of Activated Carbons Prepared From Peach Stones by $H_3PO_4$

  • Attia, Amina A.;Girgis, Badie S.;Tawfik, Nady A.F.
    • Carbon letters
    • /
    • 제6권2호
    • /
    • pp.89-95
    • /
    • 2005
  • Crushed peach stone shells were impregnated with $H_3PO_4$ of increasing concentrations (30-70%) followed by heat treatment at 773 K for 3 h. Produced carbons (ACs) were characterized by $N_2$ adsorption at 77 K using the BET-equation and the ${\alpha}$-method. High surface area microporous ACs were obtained, with enhanced internal pore volume, as function of % $H_3PO_4$. Adsorption isotherms from aqueous solution were determined for methylene blue (MB) and p-nitrophenol (PNP), as representatives for dye and phenolics pollutant molecules. Application of the Langmuir model proved the high limiting capacity towards both solute molecules, MB was uptaken in increasing amounts as function of $H_3PO_4$ concentration and generated porosity. High removal of PNP was almost the same irrespective of porosity characteristics. Competitive adsorption of $H_2O$ molecules on the hydrophilic carbon surface seems to partially reduce the available area to the PNP molecules. Application of the pseudo-second order law described well the fast adsorption (${\leq}$ 120 min) at two initial dye concentrations.

  • PDF

직교화와 SVD를 도입한 광학설계의 최적화기법에 대한 연구

  • 김기태
    • 한국광학회지
    • /
    • 제4권4호
    • /
    • pp.363-372
    • /
    • 1993
  • 설계변수의 직교화와 SVD(singular value decomposition)를 최적화에 도입하고, 이를 double-Gauss형 사진렌즈계에 적용시켜 최적화의 수렴성과 안정성을 일반적인 최소자승법, 감쇠최소자승법의 경우와 비교하였다. 최적화에서 정규방정식의 조건수(고유값의 최대, 최소값의 비)가 최적화의 불안정성과 밀접한 관련이 있다는 것은 이미 알려져 있다. 본 연구에는 SVD를 도입하여 조건수를 제한하여 본 결과 최적화의 안정성이 매우 증진 되었으며, 감쇠최소자승법에서 적은 감쇠항을 주고 직교화와 SVD를 적용시킨 경우가 가장 빠르고 안정하게 수렴하였다. 이것은 변수의 직교화와 SVD가 감쇠최소자승법에서 적은 감쇠항을 줄 때 생기는 불안정성을 잘 극복하고 있음을 나타내고 있다.

  • PDF

용융탄산염 연료전지 연료극 기체 유로 높이에 따른 가스 확산 및 단전지 성능 변화 연구 (Effect of Anode Gas Channel Height on Gas Diffusion and Cell Performance in a Molten Carbonate Fuel Cell)

  • 이정현;김도형;김범주;강승원;임희천
    • 한국수소및신에너지학회논문집
    • /
    • 제20권6호
    • /
    • pp.479-484
    • /
    • 2009
  • The effect of anode gas channel height on gas diffusion and cell performance in a 100 $cm^2$ class molten carbonate single cell is investigated. Single cell separators with three different channel height are used. The effect of the gas channel height on the distribution of the reactive gas concentration is evaluated by the two-dimensional concentration diffusion equation. The overpotential caused by concentration drop with different channel height is estimated by the voltage decay related to diffusion of reactants, well known as concentration polarization, using limiting current density. The estimation could have the possibility to identify the reactant mass transfer polarization in the complicate factors of the overall electrodes.

A Novel Sliding Mode Observer for State of Charge Estimation of EV Lithium Batteries

  • Chen, Qiaoyan;Jiang, Jiuchun;Liu, Sijia;Zhang, Caiping
    • Journal of Power Electronics
    • /
    • 제16권3호
    • /
    • pp.1131-1140
    • /
    • 2016
  • A simple design for a sliding mode observer is proposed for EV lithium battery SOC estimation in this paper. The proposed observer does not have the limiting conditions of existing observers. Compared to the design of previous sliding mode observers, the new observer does not require a solving matrix equation and it does not need many observers for all of the state components. As a result, it is simple in terms of calculations and convenient for engineering applications. The new observer is suitable for both time-variant and time-invariant models of battery SOC estimation, and the robustness of the new observer is proved by Liapunov stability theorem. Battery tests are performed with simulated FUDS cycles. The proposed observer is used for the SOC estimation on both unchanging parameter and changing parameter models. The estimation results show that the new observer is robust and that the estimation precision can be improved base on a more accurate battery model.

최소자승법을 사용한 유량함수 비선형 파랑이론의 수치모형 (A Numerical Model of Nonlinear Stream Function Wave Theory by the Least Squares Method)

  • 서승남
    • 한국해안해양공학회지
    • /
    • 제6권4호
    • /
    • pp.340-352
    • /
    • 1994
  • Dean(1965)의 유량함수 비선형 파랑이론을 개선한 수치모형이 제시되었다. 유량함수 파랑이론 모형은 공학이용에 매우 정밀하고 유용한 모형으로 평가되어 왔다. 선형화친 연립방정식에 사용된 damping 상수와 적분에 필요한 격자점의 수가 수치해에 미치는 영향을 분석ㆍ평가하였고 수정된 Dean표(Chaplin, 1980)의 자료를 사용하여 정밀한 파랑제원을 계산하여 도표화 하였다. 쇄파에 가까운 파랑의 특성인 파장 및 그 밖의 특성들이 쇄파에 이르기 전에 극대값을 보임으로써 본 모형의 정밀도를 입증하였다.

  • PDF

$SF_{6+}Ar$혼합기체의 전자수송특성 개선에 관한 연구 (A Study on the Improvement of the Electron Transport Properties in $SF_{6+}Ar$ Mixtures Gas)

  • 하성철;김상남;유회영;서상현;임상원;전병훈
    • 한국전기전자재료학회논문지
    • /
    • 제11권1호
    • /
    • pp.67-73
    • /
    • 1998
  • In this paper, the electron swarm parameters in the 0.5% and 0.2% SF\ulcorner+Ar mixtures are measured by time of flight method over the E/N(Td) range from 30 to 300(Td). The measurements have been carried out by the double shutter drift tube with variable drift distance from the cathod. A two-term approximation of the boltzmann equation analysis and Monte Carlo simulation have been also used to study electron transport coefficients. We have calculated W, $ND_L,\;ND_T,\;\alpha,\;\eta,\;\alpha-\eta$, and the limiting breakdown electric field to gas mixtures ratio in pure $SF_6$+Ar mixtures. The electron energy distribution function has been analysed in $SF_6$+Ar mixtures at E/N : 200(Td) for a case of the equilibrium region in the mean electron energy. The measured results and the calculated results have been compared each other.

  • PDF

Mechanism of the Hydrolysis of 2-Phenyl-4H,5H,6H-3-methyl-3-thiazinium Perchlorate Derivatives

  • 김태린;이소영;변상용;김주창;한만소
    • Bulletin of the Korean Chemical Society
    • /
    • 제20권10호
    • /
    • pp.1213-1217
    • /
    • 1999
  • Hydrolysis reactions of 2-phenyl-4H,5H,6H-3-methyl-3-thiazinium perchlorate (PTP) and its derivatives at various pH have been investigated kinetically. The hydrolysis is quantitative, producing N-3-mercaptopropyl-N-methylbenzamide as the only product in the all pH ranges. The observed rate of hydrolysis of PTP was always of the first-order. For hydrolysis from PTP, Hammett ρvalues were 0.53, 0.84 and 1.13 for pH 5.0, 8.0, and 10.0, respectively. Bronsted βvalue was 0.53 for general base catalysis. This reaction is catalyzed by general w acetate concentration. However, as the amount of base becomes larger, the rate of hydrolysis reaction approaches the limiting values. The plot of log k vs. pH shows that the rate constants (kt) are two different regions in the profile; one part is directly proportional to hydroxide ion concentration and the other is not. On the bases of these result, the plausible hydrolysis mechanism and a reaction equation were proposed: Below pH 4.5, the hydrolysis was initiated by the addition of water to α-carbon. Above pH 9.0, the hydrolysis was proceeded by the addition of hydroxide ion to α-carbon. However, in the range of pH 4.5-8.0, these two reactions occured competitively.

자발 구동형 종이 펌프를 이용한 종이 전기화학 센서 (Paper-based Electrochemical Sensor Using a Self-operated Paper Pump)

  • ;김치관;;김용신
    • 센서학회지
    • /
    • 제33권3호
    • /
    • pp.158-164
    • /
    • 2024
  • We developed a self-operated paper pump that can maintain a nearly constant flow rate of an aqueous solution along a paper strip channel in paper-based analytical devices (PADs). The quasi-stationary flow rate was controlled by increasing the crosssectional channel area (capillary force) using a fan-shaped absorption pad coupled with a paper strip channel. The flow rate is regulated by varying the fan angle of the circular absorbing pad. Furthermore, the flow rate can be increased by furnishing a hollow cavity at the center of a conventional paper strip channel. The rate was regulated by varying the length of the hollow paper channel in the flow rate range of 5.1-26.4 mm/min. As a preliminary work, a paper-pump-coupled PAD was fabricated, and its CV detection capability was evaluated for the redox reaction of Fe(CN)6+4/+3. The combination of a paper pump with a PAD resulted in an ideal CV curve with a higher limiting current and faster response time. These results are interpreted well by the Levich equation, which suggests that the paper pump is a very useful component in paper-based sensors.

Direct Lagrangian-based FSI formulation for seismic analysis of reinforced concrete circular liquid-containing tanks

  • Erfan Shafei;Changiz Gheyratmand;Saeed Tariverdilo
    • Earthquakes and Structures
    • /
    • 제27권3호
    • /
    • pp.165-176
    • /
    • 2024
  • In this study, a direct Lagrangian-based three-dimensional computational procedure is developed to evaluate the seismic performance of reinforced concrete liquid-containing circular tanks (RC-LCT). In this approach, fluid-structure interaction (FSI), material nonlinearity, and liquid-structure large deformations are formulated realistically. Liquid is modeled using Mie-Grüneisen equation of state (EOS) in compressible form considering the convective and impulsive motions of fluid. The developed numerical framework is validated based on a previous study. Further, nonlinear analyses are carried out to assess the seismic performance of RC-LCT with various diameter-to-liquid height ratios ranging from 2.5 to 4.0. Based on observations, semi-deep tanks (i.e., D/Hl=2.5) show low collapse ductility due to their shear failure mode while shallow tanks (i.e., D/Hl=4.0) behave in a more ductile manner due to their dominant wall membrane action. Furthermore, the semi-deep tanks provide the least over-strength and ductility due to their catastrophic failure with little energy dissipation. This study shows that LCTs can be categorized as between immediately operational and life safety levels and therefore a drift limiting criterion is necessary to prevent probable damages during earthquakes.

도로터널에서 수소 연료차 수소탱크 폭발시 폭발압력에 대한 기초적 연구 (A basic study on explosion pressure of hydrogen tank for hydrogen fueled vehicles in road tunnels)

  • 류지오;안상호;이후영
    • 한국터널지하공간학회 논문집
    • /
    • 제23권6호
    • /
    • pp.517-534
    • /
    • 2021
  • 수소연료는 환경오염문제를 해소하고 에너지 불균형 및 비용을 절감할 수 있다는 점에서는 화석연료를 대체하는 에너지원으로 부각되고 있다. 수소는 친환경적이나 폭발성이 강하기 때문에 수소연료차의 화재, 폭발 사고에 대한 우려가 매우 높은 실정이다. 연구결과에서 수소사고는 일반적인 화재의 경우 비교적 안전하나, 폭발이 발생하면 매우 위험한 것으로 인식되고 있다. 특히, 터널과 같은 반밀폐공간에서는 위험도가 보다 증가할 것으로 예측되기에 이에 대한 예측방법 및 대책을 마련하기 위한 연구가 수행되고 있다. 이에 본 연구에서는 터널에서 수소폭발시 안전성을 평가하기 위해서 등가 TNT모델의 적용성과 수치해석 방법에 대한 검토를 수행하였다. 6개의 등가 TNT모델과 Weyandt의 실험결과의 폭발압력을 비교·검토하여 모델의 적용성을 평가한 결과, Henrych식이 13.6%의 편차로 가장 근접하는 것으로 나타났다. 수치해석을 이용하여 수소탱크 용량(52, 72, 156 L)과 터널 단면적(40.5, 54, 72, 95 m2)이 폭발압력에 미치는 영향에 대한 검토한 결과, 터널에서 폭발 압력파는 초기에는 대기중에서와 마찬가지로 반구형 형태로 전파되나 벽체에 도달하면 반사파가 형성되며, 일정 거리 이상에서는 평면파로 변형되어 아주 완만한 감쇄율로 전파하는 것으로 나타났다. 등가 TNT모델인 Henrych식은 폭발압력이 급격하게 감소하는 구간에서는 수치해석 결과와 잘 일치하나 폭발압력파가 변형된 이후에는 큰 폭으로 과소평가하는 것으로 나타났다. 수소탱크용량이 동일한 경우에는 터널 단면적이 증가할수록 폭발압력이 감소하며, 단면적이 동일한 경우에는 수소탱크 용량이 52 L에서 156 L로 증가하면 폭발압력은 약 2.5배 정도 증가하는 것으로 나타났다. 인체에 영향을 미치는 한계거리에 대한 평가결과, 수소탱크용량이 52 L인 경우 사망에 이르는 한계거리는 약 3 m, 중상에 이르는 거리는 단면적별로 차이가 있으나 28.5~35.8 m로 나타났다.