• Title/Summary/Keyword: analytical solution

Search Result 2,340, Processing Time 0.029 seconds

A Study on Capillary Gas-Liquid Chromatographic Determination of Diosgenin in Costus Speciosus (모세관 기체-액체 크로마토그래피에 의한 Costus Speciosus 중 Diosgenin의 정량에 관한 연구)

  • Taek Jae Kim;Cha Kee Surk;Kim Young Sang
    • Journal of the Korean Chemical Society
    • /
    • v.30 no.4
    • /
    • pp.369-376
    • /
    • 1986
  • Diosgenin in an Indonesian Costus speciosus was determined by capillary gas-liquid chromatography (GLC). The experimental conditions for the hydrolysis, extraction and acetylation of the diosgenin, and the determination by GLC were investigated. 0.20g of dried sample powder was refluxed in the solution of 3N HCI and xylene at 95∼100${\circ}C$ for 4 hours and the xylene layer was separated. The residue evaporated the xylene was refluxed in 20 : 80 acetic anhydride-pyridine for 30 minutes and the diosgenin acetate was extracted with diethyl ether. Dehydrated with anhydrous $Na_2SO_4$ and evaporated the ether, the residue was dissolved in 5.00ml of n-hexane and injected into GLC. Capillary column of SE-30 25m ${\times}$ 0. 33mm was installed in GLC and the column temperature was increased from 180${\circ}$ to 270${\circ}C$ at rate of 10${\circ}C$/min. The flow rate of carrier gas $N_2$ was 2ml/min and FID was used to detect. The analytical result of the diosgenin was 0.281% and relative standard deviation of 5 measures was 1.8%.

  • PDF

Analysis Method for Non-Linear Finite Strain Consolidation for Soft Dredged Soil Deposit - Part II: Analysis Method and Craney Island Case Study (초연약 준설 매립지반의 비선형 유한변형 압밀해석기법 - Part II: 해석기법과 Craney Island 사례분석)

  • Choi, Hang-Seok;Kwak, Tae-Hoon;Lee, Chul-Ho;Lee, Dong-Seop;Stark, T.D.
    • Journal of the Korean Geotechnical Society
    • /
    • v.27 no.11
    • /
    • pp.5-15
    • /
    • 2011
  • This paper presents two analysis methods for characterizing the non-linear finite strain consolidation behavior of highly deformable dredged soil deposits along with the fundamental parameters obtained in the companion paper; that is, the zero effective stress void ratio, the non-linear relationships of void ratio-effective stress and void ratio-hydraulic conductivity. The simplified Morris's analytical solution (2002) and the widely recognized numerical program, PSDDF (primary Consolidation, Secondary Compression, and Desiccation of Dredged Fill) for both single and double drainage conditions are adopted in this paper to verify a series of laboratory experiments for self-weight consolidation of the Incheon clay and Kaolinite. The comparisons show that the analysis methods proposed herein can properly simulate the long-term non-linear finite strain consolidation behavior for dredged soils in the field. In addition, a case study for the artificial Craney Island has been conducted to illustrate the importance of obtaining appropriate non-linear finite strain consolidation parameters and the applicability of PSDDF in promoting dredged soil disposal.

A Study of Theoretical Methods for Estimating Void Ratio Based on the Elastic Wave Velocities (탄성파 속도를 이용한 간극비 산출 식의 고찰)

  • Lee, Jong-Sub;Park, Chung-Hwa;Yoon, Sung-Min;Yoon, Hyung-Koo
    • Journal of the Korean Geotechnical Society
    • /
    • v.29 no.2
    • /
    • pp.35-45
    • /
    • 2013
  • The void ratio is an important parameter for reflecting the soil behavior including physical property, compressibility, and relative density. The void ratio can be obtained by laboratory test with extracted soil samples. However, the specimen has a possibility to be easily disturbed due to the stress relief when extracting, vibration during transportation, and error in experimental process. Thus, the theoretical equations have been suggested for obtaing the void ratio based on the elastic wave velocities. The objective of this paper is to verify the accuracy of the proposed analytical solution through the error norm. The paper covers the theoretical methods of Wood, Gassmann and Foti. The elastic wave velocity is determined by the Field Velocity Probe in the southern part of Korean Peninsular. And the rest parameters are assumed based on the reference values. The Gassmann method shows the high reliability on determining the void ratio. The error norm is also analyzed as substitution of every parameter. The results show every equation has various characteristics. Thus, this paper may be widely applied for obtaining the void ratio according to the field condition.

Numerical Analysis of the Hydraulic Characteristics of a Boundary Layer Streaming over Beach Cusps Surf-Zone Using LES and One Equation Dynamic Smagorinsky Turbulence Model (LES와 One Equation Dynamic Smagorinsky 난류모형을 이용한 Beach Cusps 쇄파역에서의 경계층 Streaming 수치해석)

  • Cho, Yong Jun
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.32 no.1
    • /
    • pp.55-68
    • /
    • 2020
  • In order to investigate the hydraulic characteristics of a boundary layer streaming over the beach cusps appeared in swells prevailing mild seas, we numerically simulated the shoaling process of Edge waves over the beach cusp. Synchronous Edge waves known to sustain the beach cusps could successfully be duplicated by generating two obliquely colliding Edge waves in front of beach cusps. The amplitude AB and length LB of Beach Cusp were elected to be 1.25 m and 18 m, respectively based on the measured data along the Mang-Bang beach. Numerical results show that boundary layer streaming was formed at every phase of shoaling process without exception, and the maximum boundary layer streaming was observed to occur at the crest of sand bar. In RUN 1 where the shortest waves were deployed, the maximum boundary layer streaming was observed to be around 0.32 m/s, which far exceeds the amplitude of free stream by two times. It is also noted that the maximum boundary layer streaming mentioned above greatly differs from the analytical solution by Longuet-Higgins (1957) based on wave Reynolds stress. In doing so, we also identify the recovery procedure of natural beaches in swells prevailing mild seas, which can be summarized such as: as the infra-gravity waves formed in swells by the resonance wave-wave interaction arrives near the breaking line, the sediments ascending near the free surface by the Phase II waves orbital motion were carried toward the pinnacle of foreshore by the shoreward flow commenced at the steep front of breaking waves, and were deposited near the pinnacle of foreshore due to the infiltration.

Desorption Efficiency of Various Cosolvents for Organic Solvent Mixtures Collected on Activated Charcoal Tube (활성탄관에 포집된 혼합 유기용제의 보조탈착용매 변화에 따른 탈착률 비교)

  • Kim, Kang Yoon;Ro, In Bong;Kim, Hyun Wook
    • Journal of Korean Society of Occupational and Environmental Hygiene
    • /
    • v.6 no.2
    • /
    • pp.209-221
    • /
    • 1996
  • The purpose of this study was to find a suitable cosolvent to $CS_2$ so that desorption efficiency can be improved for both polar and non-polar organic solvent mixtures collected on an activated charcoal tube. Cosolvents added to $CS_2$ include: DMF(N,N-dimethylformamide): $CS_2$ (v/v 1:99), DMF:$CS_2$(v/v 3:97), BC (butyl carbitol, 2-(2-butoxy ethoxy) ethanol):$CS_2$(v/v 1:99), and BC:$CS_2$(v/v 3:97)). The results obtained were as follows : 1. Comparing the desorption efficiency of $CS_2$ with those of $CS_2$ with 1, 3, 5 % DMF and 1, 3 % BC cosolvents for two different groups of charcoal tubes each containing 8 different polar and non-polar organic solvents with 3 different concentration levels, the desorption efficiencies of the cosolvent-added $CS_2$ increased significantly for all polar organic solvents regardless of concentration levels tested. For non-polar organic solvents, no noticeable improvement was detected except xylene and trichloroethylene. The desorption efficiency of xylene increased significantly while that of trichloroethylene increased significantly at the lowest concentration level tested. 2. Either 5 % DMF or 3 % BC was the most suitable cosolvent because the desorption efficiency for non-polar organic solvent mixtures was similar or slightly improved compared with that of $CS_2$, while those of for polar organic solvent mixtures were above 75 % except for cyclohexanone. 3. The smallest variations in desorption efficiency represented by the ratio calculated from the maximum to minimum desorption efficiency for all concentration levels tested were found when 3 % BC was used as a cosolvent. The above results indicate that the desorption efficiency of $CS_2$ particularly for polar organic solvent mixtures collected on a charcoal tube can be significantly improved by the use of cosolvents such as 5 % DMF or 3 % BC. A caution, however, is in order for selecting a cosolvent whenever the cosolvent itself is being used in the workplace or the impurities contained in the cosolvent may interfere with the analytical results. In addition, to improve desorption efficiencies for such organic solvents as cyclohexanone or ketones, it is recommended to use suitable collection and desorption media other than the traditional method of charcoal tube collection/$CS_2$ desorption.

  • PDF

Understanding of a Korean Standard for the Analysis of Hexavalent Chromium in Soils and Interpretation of their Results (토양오염공정시험기준 6가크롬 분석의 이해와 결과 해석)

  • Kim, Rog-Young;Jung, Goo-Bok;Sung, Jwa-Kyung;Lee, Ju-Young;Jang, Byoung-Choon;Yun, Hong-Bae;Lee, Yee-Jin;Song, You-Seong;Kim, Won-Il;Lee, Jong-Sik;Ha, Sang-Keun
    • Korean Journal of Soil Science and Fertilizer
    • /
    • v.44 no.5
    • /
    • pp.727-733
    • /
    • 2011
  • A new Korean standard for the determination of Cr(VI) in soils has been officially published as ES 07408.1 in 2009. This analytical method is based on the hot alkaline digestion and colorimetric detection prescribed by U.S. EPA method 3060A and 7196A. The hot alkaline digestion accomplished using 0.28 M $Na_2CO_3$ and 0.5 M NaOH solution (pH 13.4) at $90{\sim}95^{\circ}C$ determines total Cr(VI) in soils extracting all forms of Cr(VI), including water-soluble, adsorbed, precipitated, and mineral-bound chromates. This aggressive alkaline digestion, however, proved to be problematic for certain soils which contain large amounts of soluble humic substances or active manganese oxides. Cr(III) could be oxidized to Cr(VI) by manganese oxides during the strong alkaline extraction, resulting in overestimation (positive error) of Cr(VI). In contrast, Cr(VI) reduction by dissolved humic matter or Fe(II) could occur during the neutralization and acidic colorimetric detection procedure, resulting in underestimation (negative error) of Cr(VI). Futhermore, dissolved humic matter hampered the colorimetric detection of Cr(VI) using UV/Vis spectrophotometer due to the strong coloration of the filtrate, resulting in overestimation (positive error) of Cr(VI). Without understanding the mechanisms of Cr(VI) and Cr(III) transformation during the analysis it could be difficult to operate the experiment in laboratory and to evaluate the Cr(VI) results. For this reason, in this paper we described the theoretical principles and limitations of Cr(VI) analysis and provided useful guidelines for laboratory work and Cr(VI) data analysis.

Extensional Buckling Analysis of Asymmetric Curved Beams Using DQM (미분구적법(DQM)을 사용한 비대칭 곡선 보의 신장 좌굴해석)

  • Kang, Ki-Jun
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.22 no.4
    • /
    • pp.594-600
    • /
    • 2021
  • Curved beam structures are generally used as components in structures such as railroad bridges and vehicles. The stability analysis of curved beams has been studied by a large number of researchers. Due to the complexities of structural components, it is difficult to obtain an analytical solution for any boundary conditions. In order to overcome these difficulties, the differential quadrature method (DQM) has been applied for a large number of cases. In this study, DQM was used to solve the complicated partial differential equations for buckling analysis of curved beams. The governing differential equation was deduced and solved for beams subjected to uniformly distributed radial loads. Critical loads were calculated with various opening angles, boundary conditions, and parameters. The results of the DQM were compared with exact solutions for available cases, and the DQM gave outstanding accuracy even when only a small number of grid points was used. Critical loads were also calculated for the in-plane inextensional buckling of the asymmetric curved beams, and two theories were compared. The study of a beam with extensibility of the arch axis shows that the effects on the critical loads are significant.

Validation of HPLC Methods for Ascorbic Acid and Its Derivatives in Foods (식품 중 아스코르빈산 유래 산화방지제의 HPLC 분석법 검증 및 개선)

  • Jeong, Min Kyu;Park, Chan Uk;Park, Min Hee;Yeo, JuDong;Park, SeungKwan;Kim, SoHee;Shin, Tae-Sun;Baek, Hyung Hee;Lee, JaeHwan
    • Food Engineering Progress
    • /
    • v.15 no.1
    • /
    • pp.75-79
    • /
    • 2011
  • Analytical methods for food antioxidants including ascorbic acid, erythorbic acid, ascorbyl palmitate (AP), and ascorbyl stearate (AS), were validated using high performance liquid chromatography. Validation parameters such as linearity, limit of detection (LOD), limit of quantification (LOQ), and recovery were tested using lard and cider as food model systems. Linearity of ascorbic acid and erythorbic acid were both higher than ($R^2$> 0.99), LOD of these compounds were 0.46 and 0.48 ${\mu}g/mL$, respectively and LOQ were 1.39 and 1.45 ${\mu}g/mL$, respectively. The recovery rates of these compounds were 86.35-94.78% and 84.76-95.02%, respectively. However, the concentration of AP and AS decreased in methanol stock solution. Four other solvents including ethanol, acetonitrile, mixture of methanol and acetonitrile, and mixture of ethanol and acetonitrile were tested to increase the stability of AP and AS under room temperature and refrigerated temperature. Ethanol provided better stability of AP and AS under both room and refrigerated temperature. This study can help to accurately analyze the content of ascorbic acid and its derivatives in processed foods.

Development and Application of Two-Dimensional Numerical Tank using Desingularized Indirect Boundary Integral Equation Method (비특이화 간접경계적분방정식방법을 이용한 2차원 수치수조 개발 및 적용)

  • Oh, Seunghoon;Cho, Seok-kyu;Jung, Dongho;Sung, Hong Gun
    • Journal of Ocean Engineering and Technology
    • /
    • v.32 no.6
    • /
    • pp.447-457
    • /
    • 2018
  • In this study, a two-dimensional fully nonlinear transient wave numerical tank was developed using a desingularized indirect boundary integral equation method. The desingularized indirect boundary integral equation method is simpler and faster than the conventional boundary element method because special treatment is not required to compute the boundary integral. Numerical simulations were carried out in the time domain using the fourth order Runge-Kutta method. A mixed Eulerian-Lagrangian approach was adapted to reconstruct the free surface at each time step. A numerical damping zone was used to minimize the reflective wave in the downstream region. The interpolating method of a Gaussian radial basis function-type artificial neural network was used to calculate the gradient of the free surface elevation without element connectivity. The desingularized indirect boundary integral equation using an isolated point source and radial basis function has no need for information about the element connectivity and is a meshless method that is numerically more flexible. In order to validate the accuracy of the numerical wave tank based on the desingularized indirect boundary integral equation method and meshless technique, several numerical simulations were carried out. First, a comparison with numerical results according to the type of desingularized source was carried out and confirmed that continuous line sources can be replaced by simply isolated sources. In addition, a propagation simulation of a $2^{nd}$-order Stokes wave was carried out and compared with an analytical solution. Finally, simulations of propagating waves in shallow water and propagating waves over a submerged bar were also carried and compared with published data.

Development of Numerical Model for Simulating Remediation Efficiency Using Surfactant in a NAPL Contaminated Area (계면활성제에 의한 NAPL 오염의 정화효율 수치 모의를 위한 모델 개발)

  • Suk, Heejun;Son, Bongho;Park, Sungmin;Jeon, Byonghun
    • Clean Technology
    • /
    • v.25 no.3
    • /
    • pp.206-222
    • /
    • 2019
  • Recently, various multiphase flows have been developed, and among them some models have been commercialized. However, most of them have been developed based on a pressure-based approach; therefore, various numerical difficulties were involved inherently. Accordingly, in order to overcome these numerical difficulties, a multiphase flow model, MultiPhaSe flow (MPS), following a fractional-flow based approach was developed. In this study, by combining a contaminant transport module describing an enhanced dissolution effect of a surfactant with MPS, a MultiPhaSe flow and TranSport (MPSTS) model was developed. The developed model was verified using the analytical solution of Clement. The MPSTS model can simulate the process of surfactant enhanced aquifer remediation including interphase mass transfer and contaminant transport in multiphase flow by using the coupled particle tracking method and Lagrangian-Eulerian method. In this study, a surfactant was used in a non aqueous phase liquid (NAPL) contaminated area, and the effect of hydro-geological heterogeneity in the layered media on remediation efficiency was studied using the developed model. According to the numerical simulation, when hydraulic conductivity in a lower layer is 10 times, 20 times, and 50 times larger than that in an upper layer, the concentration of dissolved diesel in the lower layer is much higher than that in the upper layer because the surfactant moves faster along the lower layer owing to preferential flow; thus, the surfactant enhances dissolution of residual non aqueous phase liquid in the lower layer.