• Title/Summary/Keyword: Log Normal Distribution

Search Result 278, Processing Time 0.03 seconds

Condensational Growth of Fine Aerosol Particles to Increase Precipitation Efficiency (집진효율 향상을 위한 미세 에어로졸 입자의 응축에 의한 성장 연구)

  • Han, Sang-Woo;Hwang, Jung-Ho
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.24 no.8
    • /
    • pp.1069-1076
    • /
    • 2000
  • As the environmental problems grow, the regulation of the pollutants emitted from power plants increases. Most of the pollutants in particle phase are removed by particle removal facilities, but fine particles between 0.1 micron and I micron in diameter have a low removal efficiency compared to particles in other size ranges. Therefore the present concern has concentrated on the removal of those fine particles. The purpose of this study is to grow fine particles by condensation to the range larger than I micron. Theoretically the general dynamic equation is solved with an assumption that the particle size follows a log-normal distribution to calculate the temporal behavior of the size distribution. Experiments have been carried out to compare the results with the theoretical predictions. Particles grown by condensation are sampled by impactors and observed with SEM photographs.

우리나라 주요지점에 있어서의 강우해석에 관한 수문통계학적 연구

  • 이원환
    • Water for future
    • /
    • v.5 no.2
    • /
    • pp.30-43
    • /
    • 1972
  • The paper describes on the hydrologic analysis of point rainfall data of the three major areas, such as in Seoul, Pusan and Taegu. Scheme of the paper is analyzed five research cases. Contents of the analysis are carried out five kinds of transformed variables for determination of rainfall distribution types and two kinds of reliability tests on unusual(extraordinary) values each rainfall durations:short durations, long durations, long durations, monthly and yearly. Rainfall depth probability had been computed methods of hydrologic amounts analysis namely logarithmic transformations or Gumbel-Chow method and so on, but in this paper it is calculated log xi, n-square root transformations by using normal distribution function and normalization of rainfall distributions is examined graphical tests and $X^2-test$(chi-square test). Furthermore, rainfall depth probability is calculated taking into account the safty factors of project life of hydraulic structures. We think it is advanced contents that considering priceless experiences, the life of structures, conditions and more problems of planning engineers and designers, proposed rainfall amounts(proposed values) are presented charts or figures.

  • PDF

PDF properties of ISM turbulence

  • Jo, Hyeon-Jin;Gang, Hye-Seong;Ryu, Dong-Su;Kim, Jong-Su;Jo, Jeong-Yeon
    • The Bulletin of The Korean Astronomical Society
    • /
    • v.36 no.2
    • /
    • pp.107.1-107.1
    • /
    • 2011
  • Density Probability Distribution Functions (PDFs) are a classic statistical way to study properties of Interstellar Medium (ISM) turbulence. In our three-dimensional MHD simulations, density PDFs of the position-position velocity (PPV) spaces are close to a log-normal distribution. the PDF widths depend on the plasma parameters such as magnetic strength and sonic Mach number. Futhermore, we compare these simulations results to Galactic molecular clouds observed by Jackson et. al (2006). By fitting of the velocity dispersion in the spectral line observation, volume density PDFs of the defined molecular clouds indicate that the sound speeds of the turbulences seem to have a few times larger than the simulation results. In order to understand the inconsistency with general characteristics of turbulence, we consider other simulations inducing the turbulent flow randomly at small driving scales. We find that the density PDF width decreases at more smaller driving scale. Finally, the simulations suggest that sources of ISM turbulence in Galactic molecular clouds can be important on small scales.

  • PDF

Recent Development of Analytical Solutions to Brownian Aerosol Coagulation in Different Particle Size Regimes

  • Park, Seong-Hun;Kim, Hyun-Tae;Lee, Kyoo-Won
    • Journal of Korean Society for Atmospheric Environment
    • /
    • v.15 no.E
    • /
    • pp.65-71
    • /
    • 1999
  • The log-normal size distribution theories developed recently for aerosol coagulation are reviewed. The analytical solutiosn to Brownian coagulation developed recently for various particle size regimes are reviewed. In order to describe the evolution of the size distribution of a coagulating aerosol over the entire size range, the analytical solutions developed individually for the free-molecule regime, the transition regime, the nearcontinuum regime, and the continuum regime have been combined. The work described here represents the first analytical solution to the aerosol coagulation problem covering the entire particle size range.

  • PDF

Studies on the Stochastic Generation of Synthetic Streamflow Sequences(I) -On the Simulation Models of Streamflow- (하천유량의 추계학적 모의발생에 관한 연구(I) -하천유량의 Simulation 모델에 대하여-)

  • 이순탁
    • Water for future
    • /
    • v.7 no.1
    • /
    • pp.71-77
    • /
    • 1974
  • This paper reviews several different single site generation models for further development of a model for generating the Synthetic sequences of streamflow in the continuous streams like main streams in Korea. Initially the historical time series is looked using a time series technique, that is correlograms, to determine whether a lag one Markov model will satisfactorily represent the historical data. The single site models which were examined include an empirical model using the historical probability distribution of the random component, the linear autoregressive model(Markov model, or Thomas-Fiering model) using both logarithms of the data and Matala's log-normal transformation equations, and finally gamma distribution model.

  • PDF

Uncertainty Assessment of Emission Factors for Pinus densiflora using Monte Carlo Simulation Technique (몬테 카를로 시뮬레이션을 이용한 소나무 탄소배출계수의 불확도 평가)

  • Pyo, Jung Kee;Son, Yeong Mo;Jang, Gwang Min;Lee, Young Jin
    • Journal of Korean Society of Forest Science
    • /
    • v.102 no.4
    • /
    • pp.477-483
    • /
    • 2013
  • The purpose of this study was to calculate uncertainty of emission factor collected data and to evaluate the applicability of Monte Carlo simulation technique. To estimate the distribution of emission factors (Such as Basic wood density, Biomass expansion factor, and Root-to-shoot ratio), four probability density functions (Normal, Lognormal, Gamma, and Weibull) were used. The two sample Kolmogorov-Smirnov test and cumulative density figure were used to compare the optimal probability density function. It was observed that the basic wood density showed the gamma distribution, the biomass expansion factor results the log-normal distribution, and root-shoot ratio showd the normal distribution for Pinus densiflora in the Gangwon region; the basic wood density was the normal distribution, the biomass expansion factor was the gamma distribution, and root-shoot ratio was the gamma distribution for Pinus densiflora in the central region, respectively. The uncertainty assessment of emission factor were upper 62.1%, lower -52.6% for Pinus densiflora in the Gangwon region and upper 43.9%, lower -34.5% for Pinus densiflora in the central region, respectively.

Estimation of Representative Wave Period and Optimal Probability Density Function Using Wave Observed Data around Korean Western Coast (국내 서해안 파랑 관측자료를 이용한 대표주기 산정 및 최적 확률밀도함수 추정)

  • Uk-Jae Lee;Hong-Yeon Cho;Jin Ho Park;Dong-Hui Ko
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.35 no.6
    • /
    • pp.146-154
    • /
    • 2023
  • In this study, the peak wave period Tp and mean wave period T02 and Tm-1, 0, which are major parameters for classifying ocean characteristics, were calculated using water surface elevation data observed from the second west coast oceanographic and meteorological observation tower. In addition, the ratio of abnormal data, correlation analysis, and optimal probability density function were estimated. In the case of Tp among the calculated representative periods, the proportion of abnormal data was 5.73% and 0.67% at each point, and T02 was 4.35% and 0.01%. Tm-1, 0 was found to be 2.82% and 0.03%. Meanwhile, as a result of analyzing the relationship between T02 and Tp, the relationship was calculated to be 0.53 and 0.63 for each point. The relationship between Tm-1, 0 and Tp was 1.15 and 1.32, respectively, and T02, Tm-1, 0 was 1.18 and 1.22. As a result of estimating the optimal probability density function of the calculated representative period, Tp followed the 'Log-normal' and 'Normal' distributions at each point, and T02 was 'Gamma', 'Normal' distribution and Tm-1, 0 showed that 'Log-normal' and 'Normal' distribution were dominant, respectively. It is decided that these results can be used as basic data for wave analysis conducted on the west coast.

Particle Size Distribution of Suspended Particulates in the Atmosphere of a Seoul Residential Area (한 도시 분진의 유해성 입도 분포에 대한 조사 연구)

  • Han, Eui-Jung;Chung, Yong;Kwon, Sook-Pyo
    • Journal of Preventive Medicine and Public Health
    • /
    • v.19 no.1 s.19
    • /
    • pp.130-136
    • /
    • 1986
  • The particle size of suspended particulates was measured by a Anderson air sampler from Mar. 1982 to Feb. 1984 in a part of Seoul. It was concluded as follows : 1) The arithmetic concentration of suspended particulates was $147.8{\mu}g/m^3$ in Spring, 136.9 in Summer, 131.9 in Autumn and 158.1 in Winter respectively. 2) The cumulative distribution of suspended particulates size in logarithmic diagram showed similar to normal log distribution. 3) The atmospheric particulate matters showed a bimodal size distribution on the base of unit particle concentrations, which divided at approximately $2{\mu}m$ in the diameter. 4) While the fine particulates less than $2.1{\mu}m\;was\;35.4{\sim}45.0%$, the coarse particulates was $55.0{\sim}64.5%$. 5) The higher the concentration of suspended particulates, the more increased the ratio of fine particulates. The higher the concentration of suspended particulates, the lower median size of suspended particulate as well. 6) The respirable dust particulates less than $4.7{\mu}m\;was\;52.2{\sim}62.9%$ in seasonal average through the 2 year samples. With the above result, air pollution concerned with public health could be evaluated and the control measures also are suggested.

  • PDF

Statistical Distribution of Fatigue Life of Composite Materials for Small Wind-Turbine Blades (소형풍력발전 블레이드용 복합재료의 피로수명 분포에 대한 확률론적 평가)

  • Kang, Ki-Weon
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.35 no.10
    • /
    • pp.1281-1289
    • /
    • 2011
  • This paper deals with several statistical distribution functions for the analysis of fatigue life data of composite laminates for small wind-turbine blades. A series of tensile tests was performed on triaxial glass/epoxy laminates for loading directions of $0^{\circ}$, $45^{\circ}$, and $90^{\circ}$. Then, fatigue tests were carried out to determine the fatigue life at the aforementioned loading directions and the fatigue stresses at four levels. Two-parameter Weibull, three-parameter Weibull, normal, and log-normal distributions were used to fit the fatigue life data of the triaxial composite laminates. The three-parameter Weibull distribution most accurately described the fatigue life data measured experimentally for all the cases considered. Furthermore, the variation of fatigue life was simultaneously affected by the loading direction and fatigue stress level.

Disease vector occurrence and ecological characteristics of chiggers on the chestnut white-bellied rat Niviventer fulvescens in Southwest China between 2001 and 2019

  • Yan-Ling Chen;Xian-Guo Guo;Wen-Yu Song;Tian-Guang Ren;Lei Zhang;Rong Fan;Cheng-Fu Zhao;Zhi-Wei Zhang;Wen-Ge Dong;Xiao-Bin Huang;Dao-Chao Jin
    • Parasites, Hosts and Diseases
    • /
    • v.61 no.3
    • /
    • pp.272-281
    • /
    • 2023
  • Chigger mites are the vector of scrub typhus. This study estimates the infestation status and ecological characteristics of chiggers on the chestnut white-bellied rat Niviventer fulvescens in Southwest China between 2001 and 2019. Chiggers were identified under the microscope, and infestation indices were calculated. The Preston's log-normal model was used to fit the curve of species abundance distribution. A total of 6,557 chiggers were collected in 136 of 342 N. fulvescens rats, showing high overall infestation indices (prevalence=39.8%, mean abundance=19.2, mean intensity=48.2) and high species diversity (S=100, H'=3.0). Leptotrombidium cangjiangense, Neotrombicula japonica, and Ascoschoengastia sifanga were the three dominant chigger species (constituent ratio=42.9%; 2,736/6,384) and exhibited an aggregated distribution among different rat individuals. We identified 100 chigger species, with 3 of them (Leptotrombidium scutellare, Leptotrombidium wenense, and Leptotrombidium deliense) as the main vectors of scrub typhus in China and nine species as potential vectors of this disease. Disease vector occurrence on N. fulvescens may increase the risk of spreading scrub typhus from rats to humans. Chigger infestation on N. fulvescens varied significantly in different environments. The species abundance distribution showed a log-normal distribution pattern. The estimated number of chigger species on N. fulvescens was 126 species.