• Title/Summary/Keyword: Dispersion coefficients

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Data Sampling Using Oversampling Technique for Estimating Two-Dimensional Dispersion Coefficients (2차원 분산계수 경험식 산정을 위한 오버샘플링 기법 활용 데이터 샘플링)

  • Lee, Sun Mi;Park, In Hwan
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.449-449
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    • 2021
  • 하천 내 오염물질 유입원은 하수처리장과 같이 농도를 예측 가능한 점오염원이 일반적이지만, 수질오염사고와 같이 다량의 유해물질이 일시에 하천에 유입되는 경우도 발생하곤 한다. 특히 오염물질 유입지점과 취수장이 인접한 경우, 오염물질 혼합해석에 대한 이해가 오염사고 대응 및 수질 관리 측면에서 매우 중요하다. 자연하천에서는 사행에 따른 유속 구조의 불균일성 등으로 인하여 오염물질의 이송 및 분산 과정은 매우 복잡하게 나타난다. 이러한 하천의 지형적, 수리학적 특성이 오염물질의 혼합 거동에 미치는 영향을 정확하게 모의하기 위해서는 3차원 수치모형을 적용해야 한다. 그러나 대부분의 하천은 하폭 대 수심비가 매우 크기 때문에 2차원 이송-분산 방정식을 지배방정식으로 채택하는 2차원 수치 모형이 널리 사용되어왔다. 2차원 이송-분산 방정식의 해석결과는 입력된 종, 횡 분산계수의 값에 따라 변화하기 때문에 정확한 혼합해석을 위해 분산계수의 결정이 매우 중요하다. 과거 연구에서는 횡 분산계수의 결정을 위해 기본 수리량을 이용한 경험식을 활용하여 계산한 바 있다. 종 분산계수의 경우에는 경험식의 산정에 필요한 충분한 실험 자료가 축적되어 있지 않아 이상적 흐름 상태를 가정하여 유도된 Elder의 이론식(Elder, 1959)을 사용해왔다. 하지만 많은 연구에서 이러한 Elder의 이론식이 종 분산계수를 과소산정 할 우려가 있다고 제시했다. 따라서 하천의 전단류 분산특성을 나타낼 수 있는 데이터 확보를 통해 종 분산계수의 경험식 산정 및 횡 분산계수의 정확도 향상이 필요한 상황이다. 본 연구에서는 기존 선행 연구에서 수행된 2차원 추적자실험 데이터의 확장을 위해 오버샘플링 기법을 적용하였으며, 이를 통한 머신러닝을 통한 분산계수 산정 가능성을 분석하고자 한다. 부족한 추적자 실험 데이터를 확장하기 위해 오버샘플링 기법 중 SMOTE 기법을 활용했다. 오버샘플링 기법을 이용하여 생산된 데이터의 신뢰성을 검증하였으며, 추후 머신러닝을 이용한 2차원 종, 횡 분산계수 산정에 대한 활용 가능성을 분석했다.

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Investigating wave propagation in sigmoid-FGM imperfect plates with accurate Quasi-3D HSDTs

  • Mokhtar Nebab;Hassen Ait Atmane;Riadh Bennai
    • Steel and Composite Structures
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    • v.51 no.2
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    • pp.185-202
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    • 2024
  • In this research paper, and for the first time, wave propagations in sigmoidal imperfect functionally graded material plates are investigated using a simplified quasi-three-dimensionally higher shear deformation theory (Quasi-3D HSDTs). By employing an indeterminate integral for the transverse displacement in the shear components, the number of unknowns and governing equations in the current theory is reduced, thereby simplifying its application. Consequently, the present theories exhibit five fewer unknown variables compared to other Quasi-3D theories documented in the literature, eliminating the need for any correction coefficients as seen in the first shear deformation theory. The material properties of the functionally graded plates smoothly vary across the cross-section according to a sigmoid power law. The plates are considered imperfect, indicating a pore distribution throughout their thickness. The distribution of porosities is categorized into two types: even or uneven, with linear (L)-Type, exponential (E)-Type, logarithmic (Log)-Type, and Sinus (S)-Type distributions. The current quasi-3D shear deformation theories are applied to formulate governing equations for determining wave frequencies, and phase velocities are derived using Hamilton's principle. Dispersion relations are assumed as an analytical solution, and they are applied to obtain wave frequencies and phase velocities. A comprehensive parametric study is conducted to elucidate the influences of wavenumber, volume fraction, thickness ratio, and types of porosity distributions on wave propagation and phase velocities of the S-FGM plate. The findings of this investigation hold potential utility for studying and designing techniques for ultrasonic inspection and structural health monitoring.

S-wave Velocity and Attenuation Structure from Multichannel Seismic surface waves: Geotechnical Characteristics of NakDong Delta Soil (다중채널 표면파 자료를 이용하여 구한 S파 속도와 감쇠지수 구조: 낙동강 하구의 연약 지반 특성)

  • Jung, Hee-Ok
    • Journal of the Korean earth science society
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    • v.25 no.8
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    • pp.774-783
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    • 2004
  • The S wave velocity and Q$s^{-1}$ structure of the uppermost part of the soil in Nakdong Delta area have been obtained to determine the characteristics of the forementioned soil. The phase and attenuation coefficients of multichannel seismic records were inverted to obtain the S wave velocity and Q$s^{-1}$ structure of the soil. The inversion results have been compared with the borehole measurements of the area. The seismic signal of the nearest geophone from a seismic source was used as the source signal to obtain the attenuation coefficients. Amplitude ratios of the signal at each geophone to the source signal wave plotted as a function of distance for the frequency range between 10 Hz and 45 Hz. The slope of a linear regression line which fits amplitude ratio-distance relationship best for a given frequency was used as the attenuation coefficients for the frequency. The dispersion curve of Rayleigh waves and the attenuation coefficients were inverted to obtain the S-wave velocity and Q$s^{-1}$, respectively, in the uppermost 8 meter of soil layer. The borehole measurements of the area show that are two distinct layers; the upper 4 meter of silty-sand and the lower 4 meter of silty-clay. The inversion results indicate that the shear wave velocity of the upper layer is 80 m/sec and 40m/sec in the lower silty-clay layer. The spacial resolution of the shear wave velocity structure is very good down to a depth of 8 meter. The Q$s^{-1}$ in the upper silty-sand layer is 0.02 and increase to 0.03 in the lower silty-sand layer. The spacial resolution of quality factor is relatively good down to a depth of 5 meter, but very poor below the depth. In this study, the S-wave velocity is higher in the silty-clay and the Q$s^{-1}$ is smaller silty-sand than in the silty-clay. However, much more data should be analyzed and accumulated before making any generalization on the shear wave velocity and Q$s^{-1}$ of the sediments.

Characteristics of Hydrodynamics, Heat and Mass Transfer in Three-Phase Inverse Fluidized Beds (삼상 역 유동층의 수력학, 열전달 및 물질전달 특성)

  • Kang, Yong;Lee, Kyung Il;Shin, Ik Sang;Son, Sung Mo;Kim, Sang Done;Jung, Heon
    • Korean Chemical Engineering Research
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    • v.46 no.3
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    • pp.451-464
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    • 2008
  • Three-phase inverse fluidized bed has been widely adopted with its increasing demand in the fields of bioreactor, fermentation process, wastewater treatment process, absorption and adsorption processes, where the fluidized or suspended particles are small or lower density comparing with that of continuous liquid phase, since the particles are frequently substrate, contacting medium or catalyst carrier. However, there has been little attention on the three-phase inverse fluidized beds even on the hydrodynamics. Needless to say, the information on the hydrodynamics and transport phenomena such as heat and mass transfer in the inverse fluidized beds has been essential for the operation, design and scale-up of various reactors and processes which are employing the three-phase inverse beds. In the present article, thus, the information on the three-phase inverse fluidized beds has been summarized and reorganized to suggest a pre-requisite knowledge for the field work in a sense of engineering point of view. The article is composed of three parts; hydrodynamics, heat and mass transfer characteristics of three-phase inverse fluidized beds. Effects of operating variables on the phase holdup, bubble properties and particle fluctuating frequency and dispersion were discussed in the section of hydrodynamics; effects of operating variables on the heat transfer coefficient and on the heat transfer model were discussed in the section of heat transfer characteristics ; and in the section of mass transfer characteristics, effects of operating variables on the liquid axial dispersion and volumetric liquid phase mass transfer coefficient were examined. In each section, correlations to predict the hydrodynamic characteristics such as minimum fluidization velocity, phase holdup, bubble properties and particle fluctuating frequency and dispersion and heat and mass transfer coefficients were suggested. And finally suggestions have been made for the future study for the application of three-phase inverse fluidized bed in several available fields to meet the increasing demands of this system.

Analytical method of aflatoxins in edible oil and infant-children foods (식용유지와 영유아식품 중 아플라톡신 분석방법)

  • Hu, Soo-Jung;Park, Seung-Young;Kim, Soon-Sun;Lee, Joon-Goo;Song, Ji-Young;Kang, Eun-Gi;Lee, Hyun-Sook;Cho, Dae-Hyun
    • Analytical Science and Technology
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    • v.24 no.2
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    • pp.150-157
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    • 2011
  • Aflatoxins are secondary metabolites of the molds of Aspergillus flavus and Aspergillus parasiticus. They are highly carcinogenic compounds and can affect a wide range of vegetable commodities such as cereals (especially corn), nuts, peanuts, fruits and oil seeds, in the field and during storage. In fact, oilseeds are often stored for weeks in conditions that promote the mould growth, and the possible consequent presence of aflatoxins in oilseeds can lead to their transfer in oil. In addition, aflatoxins can be found as a natural contaminant in multi-cereals and beans making baby food for infants and young-children. The objective of this study was to validate the liquid extraction method or develop an analytical method for edible oil and infant-children foods. Therefore, this study developed condition of extract for aflatoxins ($B_1$, $B_2$, $G_1$ and $G_2$) in edible oil using a high performance liquid chromatography with florescence detector (HPLC/FLD). Aflatoxins were extracted from edible oil samples by means of MSPD (Matrix solid phased dispersion), utilizing $C_{18}$ as dispersing material and purified by using immunoaffinity column. The gression line coefficients were above 0.999. The recoveries for aflatoxins ranged from 85.9 to 93.0%, and relative standard deviations were below 5.7%. The new developed method of aflatoxins effectively enhanced recoveries by using MSPD-Immunoaffinity column compared with liquid extraction. The analytical method for liquid extraction of aflatoxin was appropriate for infant-children food. Reviewing the current method, the recoveries of aflatoxins ($B_1$, $B_2$, $G_1$ and $G_2$) were 89.5~92.3%.

The Change of Physical Properties of Epoxy Molding Compound According to the Change of Softening Point of ο-Cresol Novolac Epoxy Resin (올소 크레졸 노볼락 에폭시 수지 연화점 변화에 따른 에폭시 몰딩 컴파운드의 물성 변화)

  • Kim, Hwan Gun;Ryu, Je Hong
    • Journal of the Korean Chemical Society
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    • v.40 no.1
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    • pp.81-86
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    • 1996
  • The physical properties of epoxy molding compound (EMC) according to the change of softening point of epoxy resin have been investigated in order to study the relationship between the properties of o-cresol novolac epoxy resin, which is main component of EMC for semiconductor encapsulation, and EMC. The softening points of used epoxy resin are 65.1 $^{\circ}C$, 72.2 $^{\circ}C$, and 83.0 $^{\circ}C$, respectively. The flexural strength and flexural modulus as mechanical properties were measured, and thermal expansion coefficient, thermal conductivity and glass transition temperature (Tg) as thermal properties, and spiral flow as moldability have been investigated to see the change of physical properties of EMC. The flexural modulus, thermal expansion coefficients in the glass state (${\alpha}_1$), and thermal conductivity of EMC were found to be keep constant value irrespective of the change of softening point, but Tg increased with softening point of epoxy resin, and the spiral flow decreased with that. It can be considered that these phenomena are due to the increase of crosslinking density of EMC according to the increase of softening point. The transition points were found out in the thermal expansion coefficient data in the rubbery state (${\alpha}_2$) and the flexural strength data. These can show the decrease of filler dispersion according to increase of epoxy resin viscosity.

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Analysis of Solute Transport based on Electrical Resistance Measurements from Laboratory Column Tests (전기저항센서가 부착된 주상실험기에서 측정된 전기저항값을 이용한 용질의 이동해석)

  • Kim, Yong-Sung;Kim, Jae-Jin;Park, Junboum
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.4C
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    • pp.231-238
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    • 2008
  • A column testing device capable of measuring the electrical resistivity of soil at 3 different locations was developed to verify applicability of bulk electrical conductivity (BEC) breakthrough curves in monitoring contaminant transport. Tracer injection tests were conducted with three different types of saturated sands to obtain average linear velocities and longitudinal hydrodynamic dispersion coefficients based on BEC breakthrough curves and effluent solute breakthrough curves. Comparative analysis of transport parameters obtained from curve fitting the results into the analytical solutions confirmed the validity of resistance measurements in estimating time-continuous resident solute concentration. Under the assumption that a linear relationship exists between ${\sigma}_{sat}-{\sigma}_w-C$, the BEC breakthrough curves are able to effectively reduce the laborious and time-consuming processes involved in the conventional method of sampling and analysis. In order to reduce possible uncertainties in analyzing the BEC breakthrough curves, it was recommended that resistance measurements take place nearby the effluent boundary. In addition, a sufficient electrical contrast or difference in the electrical conductivity of the influent and the saturating solution is required to conduct reliable analysis.

A Study on the Physical Status, Physical Type and the Growth of Korean Middle and High School Boys (한국인 중.고등학생의 체격, 체형 및 그 성장에 관한 연구)

  • Lee, Young-Choon;Kim, Chong-Suk;Park, Hi-Myung;Chae, E-Up;Choo, Young-Eun;Lee, Yung-Chang;Ryoo, Ho-Yul;Kim, Kyu-Soo;Kim, Chung-Muk;Choi, Kyung-Sook;Lee, Yeoul-Hi;Lee, Tae-Ho;Woo, Won-Hyung;Shin, Hyun-Chan;Park, Won-Hark
    • The Korean Journal of Physiology
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    • v.4 no.1
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    • pp.29-46
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    • 1970
  • Measurement and analysis of the physical status (height, body weight, breast girth, sitting height. length of leg, length of thigh, thigh girth, crural length, length of arm, brachial length, antebrachial girth and skinfold thickness), physical types and the growth were made to the 360 Korean middle and high school boys aged between 12 and 17 years in Taegu City. The physical status was evaluated and expressed as dispersion and the Physical type as percentage of each status to height, and the growth was analysed by the growth formula. The results are as follows; 1) The increase of the volumes of Physical status was slowest between 12 and 13 years and fastest between 13 and 14 years in general. 2) The increase of the volumes of thigh girth and antebrachial girth showed a linear pattern until 16 years. 3) The coefficient of variation was largest in skinfold thickness $(16.3{\sim}28.4%)$ followed by body weight $(10.0{\sim}14.3%)$, antebrachial girth $(4.8{\sim}19.60%)$ and length of thigh$(6.3{\sim}13.6%)$. The coefficients of variation in all the other status were similar $(4{\sim}7%)$. 4)The physical indices of body weight, breast girth, sitting height, length of thigh, thigh girth, antebrachial girth and skinfold thickness increased as age increased while the others decreased except the brachial length, which showed no significant change. 5) Ratio of growth quantity was largest in body weight followed by skinfold thickness, and the others were all similar. 6) Growth rate and specific growth rate decreased in the all the status analysed as age increased except in the skinfold thickness in which an increase was noted. 7) Growth gradient was increased along the increase of age in breast girth, sitting height, crural length, brachial length and in skinfold thickness. However a decrease was observed in the other status except in the body weight which was decreased until 15 years of age and increased thereafter.

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An Analytical Study on the Stem-Growth by the Principal Component and Canonical Correlation Analyses (주성분(主成分) 및 정준상관분석(正準相關分析)에 의(依)한 수간성장(樹幹成長) 해석(解析)에 관(關)하여)

  • Lee, Kwang Nam
    • Journal of Korean Society of Forest Science
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    • v.70 no.1
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    • pp.7-16
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    • 1985
  • To grasp canonical correlations, their related backgrounds in various growth factors of stem, the characteristics of stem by synthetical dispersion analysis, principal component analysis and canonical correlation analysis as optimum method were applied to Larix leptolepis. The results are as follows; 1) There were high or low correlation among all factors (height ($x_1$), clear height ($x_2$), form height ($x_3$), breast height diameter (D. B. H.: $x_4$), mid diameter ($x_5$), crown diameter ($x_6$) and stem volume ($x_7$)) except normal form factor ($x_8$). Especially stem volume showed high correlation with the D.B.H., height, mid diameter (cf. table 1). 3) (1) Canonical correlation coefficients and canonical variate between stem volume and composite variate of various height growth factors ($x_1$, $x_2$ and $x_3$) are ${\gamma}_{u1,v1}=0.82980^{**}$, $\{u_1=1.00000x_7\\v_1=1.08323x_1-0.04299x_2-0.07080x_3$. (2) Those of stem volume and composite variate of various diameter growth factors ($x_4$, $x_5$ and $x_6$) are ${\gamma}_{u1,v1}=0.98198^{**}$, $\{{u_1=1.00000x_7\\v_1=0.86433x_4+0.11996x_5+0.02917x_6$. (3) And canonical correlation between stem volume and composite variate of six factors including various heights and diameters are ${\gamma}_{u1,v1}=0.98700^{**}$, $\{^u_1=1.00000x_7\\v1=0.12948x_1+0.00291x_2+0.03076x_3+0.76707x_4+0.09107x_5+0.02576x_6$. All the cases showed the high canonical correlation. Height in the case of (1), D.B.H. in that of (2), and the D.B.H, and height in that of (3) respectively make an absolute contribution to the canonical correlation. Synthetical characteristics of each qualitative growth are largely affected by each factor. Especially in the case of (3) the influence by the D.B.H. is the most significant in the above six factors (cf. table 2). 3) Canonical correlation coefficient and canonical variate between composite variate of various height growth factors and that of the various diameter factors are ${\gamma}_{u1,v1}=0.78556^{**}$, $\{u_1=1.20569x_1-0.04444x_2-0.21696x_3\\v_1=1.09571x_4-0.14076x_5+0.05285x_6$. As shown in the above facts, only height and D.B.H. affected considerably to the canonical correlation. Thus, it was revealed that the synthetical characteristics of height growth was determined by height and those of the growth in thickness by D.B.H., respectively (cf. table 2). 4) Synthetical characteristics (1st-3rd principal component) derived from eight growth factors of stem, on the basis of 85% accumulated proportion aimed, are as follows; Ist principal component ($z_1$): $Z_1=0.40192x_1+0.23693x_2+0.37047x_3+0.41745x_4+0.41629x_5+0.33454x_60.42798x_7+0.04923x_8$, 2nd principal component ($z_2$): $z_2=-0.09306x_1-0.34707x_2+0.08372x_3-0.03239x_4+0.11152x_5+0.00012x_6+0.02407x_7+0.92185x_8$, 3rd principal component ($z_3$): $Z_3=0.19832x_1+0.68210x_2+0.35824x_3-0.22522x_4-0.20876x_5-0.42373x_6-0.15055x_7+0.26562x_8$. The first principal component ($z_1$) as a "size factor" showed the high information absorption power with 63.26% (proportion), and its principal component score is determined by stem volume, D.B.H., mid diameter and height, which have considerably high factor loading. The second principal component ($z_2$) is the "shape factor" which indicates cubic similarity of the stem and its score is formed under the absolute influence of normal form factor. The third principal component ($z_3$) is the "shape factor" which shows the degree of thickness and length of stem. These three principal components have the satisfactory information absorption power with 88.36% of the accumulated percentage. variance (cf. table 3). 5) Thus the principal component and canonical correlation analyses could be applied to the field of forest measurement, judgement of site qualities, management diagnoses for the forest management and the forest products industries, and the other fields which require the assessment of synthetical characteristics.

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