• Title/Summary/Keyword: Exponential equation

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Comparison of Disk Tension Infiltrometer and van Genuchten-Mualem Model on Estimation of Unsaturated Hydraulic Conductivity (장력 침투계(Disk Tension Infiltrometer)와 van Genuchten-Mualem 모형 적용에 따른 불포화수리 전도도의 비교 해석)

  • Hur, Seung-Oh;Jung, Kang-Ho;Park, Chan-Won;Ha, Sang-Keun;Kim, Geong-Gyu
    • Korean Journal of Soil Science and Fertilizer
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    • v.39 no.5
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    • pp.259-267
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    • 2006
  • Hydraulic conductivity is the rate of water flux on hydraulic gradient. The van Genuchten Mualem (VGM) model is frequently used for describing unsaturated state of soils, that is composed with the function of soil water potential and soil water content and requests various parameters. This study is to get the value of VGM parameters used Rosetta computer program based on neural network analysis method and to calculate VGM parameters. VGM parameters included Ko(effective saturated hydraulic conductivity), ${\theta}r$(residual soil water content), ${\theta}s$(saturated soil water content), L, n and m. The unsaturated hydraulic conductivity at 10 kPa was calculated by using Rosetta program. Unsaturated hydraulic conductivities of 17 soil series at 1, 3, 5, 7 kPa were also obtained by applying saturated hydraulic conductivity by disk tension infiltrometer based on Gardner and Wooding's equation. Water flow at the water potential of 3 kPa was very low except Namgye, Hagog, Baegsan, Sangju, Seogcheon, Yesan soil series. Unsaturated hydraulic conductivity at 1 kPa showed the highest value for Samgag soil series and was in order of Yesan, Hwabong, Hagog and Baegsan soil series. Those of Gacheon, Seocheon and Ugog soil series were very low. When the value by VGM was compared with the value by disc tension infiltrometer, there was a tendency with exponential function to soils without gravel but there was no tendency to soils including gravel. Conclusively, it would be limited that VGM model for unsaturated hydraulic conductivity analysis applies to Korean agricultural land including gravel and having steep slope, shallow soil depth.

The Effect of Histamine on the Disappearance Rate of $D_2O$ from the Arterial Blood of Rabbits (토끼 동맥혈로 부터의 $D_2O$ 소실률에 대한 히스타민의 영향)

  • Kim, Kyong-Tai;Shin, Dong-Hoon
    • The Korean Journal of Physiology
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    • v.1 no.1
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    • pp.23-32
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    • 1967
  • Disappearance rate of injected $D_2O$ from the arterial blood as well as the effect of histamine on the rate were studied in rabbits. The concentrations of $D_2O$ in the serial arterial samples obtained through a Polyethylene tubing inserted into the carotid artery were assayed by the freezing point elevation method of Reaser. At zero time 3 ml of isotonic $D_2O$ in normal saline was injected into the jugular vein and at the same time serial sampling of arterial blood started. The serial sampling interval was either 7.7 sec or 12.3 sec. In the histamine treated animals histamine diphosphate (0,5 mg of histamine base) was injected intravenously 30 minutes prior to the zero time. The following results were obtained. 1. $D_2O$ concentration in arterial plasma water, x, was empirically obtained by the sum of 2 exponential terms of time, $x=Ae^{-k1t}+Be^{-k2t},$ and its theoretical basis was sought. The first term of the right member of the equation was regarded to be attributable to the compartment P which possessed instantaneous exchange of water with plasma. The second term was postulated to represent the poorly exchangeable compartment. 2. The constant A of the equation was evaluated as 4,37% and 14.3% in the control and histamine treated groups, respectively. B was 1.19% in the control and 0.849% in histamine treated animals. 3. The disappearance rates determined were; $k_1=0.0519{\pm}0.0221\;sec^{-1}\;K_2=0.00454{\pm}0.00247\;sec^{-1}$ in the control group. $k_1=0.1137{\pm}0.0290\;sec^{-1}\;K_2=0.00499{\pm}0.00204\;sec^{-1}$ in the histamine group. 4. In the histamine treated animals the disappearance rate of the first term was larger than that of the control animals, suggesting an enlarged size of the rapidly exchangeable compartment with regard to the plasma water. On the other hand the constant B was decreased by histamine administration, suggesting a distribution of $D_2O$ in an enlarged volume. This view was also made clear by comparing the apparent asymptotes to which the concentration curves of $D_2O$ approached in respective groups. The asymptotes in the histamine treated group showed lower values.

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Analysis of Within-Field Spatial Variation of Rice Growth and Yield in Relation to Soil Properties

  • Ahn Nguyen Tuan;Shin Jin Chul;Lee Byun-Woo
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.50 no.4
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    • pp.221-237
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    • 2005
  • For developing the site-specific fertilizer management strategies of crop, it is essential to know the spatial variability of soil factors and to assess their influence on the variability of crop growth and yield. In 2002 and 2003 cropping seasons within-field spatial variability of rice growth and yield was examined in relation to spatial variation of soil properties in the· two paddy fields having each area of ca. $6,600m^2$ in Suwon, Korea. The fields were managed without fertilizer or with uniform application of N, P, and K fertilizer under direct-seeded and transplanted rice. Stable soil properties such as content of clay (Clay), total nitrogen (TN), organic mater (OM), silica (Si), cation exchange capacity (CEC), and rice growth and yield were measured in each grid of $10\times10m$. The two fields showed quite similar spatial variation in soil properties, showing the smallest coefficient of variation (CV) in Clay $(7.6\%)$ and the largest in Si $(21.4\%)$. The CV of plant growth parameters measured at panicle initiation (PIS) and heading stage (HD) ranged from 6 to $38\%$, and that of rice yield ranged from 11 to $21\%$. CEC, OM, TN, and available Si showed significant correlations with rice growth and yield. Multiple linear regression model with stepwise procedure selected independent variables of N fertilizer level, climate condition and soil properties, explaining as much as $76\%$ of yield variability, of which $21.6\%$ is ascribed to soil properties. Among the soil properties, the most important soil factors causing yield spatial variability was OM, followed by Si, TN, and CEC. Boundary line response of rice yield to soil properties was represented well by Mitcherich equation (negative exponential equation) that was used to quantify the influence of soil properties on rice yield, and then the Law of the Minimum was used to identify the soil limiting factor for each grid. This boundary line approach using five stable soil properties as limiting factor explained an average of about $50\%$ of the spatial yield variability. Although the determination coefficient was not very high, an advantage of the method was that it identified clearly which soil parameter was yield limiting factor and where it was distributed in the field.

Mat Drying Characteristics of the Wet-thresheds Rough-rice and Effect of Drying Environment on the Cracks Formation (생탈곡(生脱糓)벼의 깔아말림 특성(特性)과 건조조건(乾燥條件)이 동할미(胴割米) 발생(發生)에 미치는 영향(影響))

  • Chun, Jae Kun;Choi, Boo Dol;Lee, Jeong Cheol
    • Journal of Biosystems Engineering
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    • v.6 no.2
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    • pp.58-64
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    • 1982
  • The fresh threshed paddy-mat dryings on the various environments were analyzed on their drying characteristics and rice quality resulted. The moisture content of paddy was mainly determined by the accumulated solar energy received, and which was expressed as a simple equation. The drying characteristics revealed to follow a constant rate drying type, and as the depth increased the more typical constant-rate drying pattern was observed. The relationship between the drying rate and bed depth was established with a simple exponential equation. The raking operation during the drying period showed a favorable effect both on the drying rate and the reduction of crack formation. Drying environments such as straw mat, concrete, ground, polyethylene film did not affect significantly the drying rate and rice quality. Considering the drying rate and quality, the optimum bed depth of mat paddy drying was around 6 cm.

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The Effect of Fiber Volume Fraction on the Tension Softening Behavior of Steel Fiber-Reinforced Ultra High Strength Concrete (섬유혼입률이 강섬유보강 초고강도 콘크리트의 인장연화거동에 미치는 영향)

  • Kang, Su-Tae;Hong, Ki-Nam;Han, Sang-Hoon;Kim, Sung-Wook
    • Journal of the Korea Concrete Institute
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    • v.21 no.1
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    • pp.13-20
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    • 2009
  • The influence of steel fiber volume on the tension softening behavior in steel fiber-reinforced ultra high strength concrete was investigated. Three-point bending test (TPBT) with notched beams was performed and inverse analysis method by Uchida et al. was adopted to obtain the tension softening behaviors from the results of TPBT. It could be found that the intial stiffness was constant regardless of steel fiber volume, the increase of steel fiber volume fraction made the tensile strength higher, but all of the curves converged on an asymptote with a crack width. It was proposed the equation of softening curve expressed by combination of plastic behavior part and exponential descending behavior part considering the steel fiber volume fraction and $\omega_0$, which is corresponding to the maximum crack width of plastic area. Thereafter, the crack propagation analysis using finite element method with smeared crack model was also carried out and it was confirmed that the proposed equation had a good agreement with the experimental results.

Optimal Cultur Conditions for the Production of Insecticidal Toxin by Xenorhabdus nematophilus Isolated from Steinernema carpocapsae (Steinernema carpocapsae로부터 분리된 Xenorhabdus nematophilus에 의한 살충물질 생산을 위한 최적 배양조건)

  • 유연수;박선호
    • KSBB Journal
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    • v.15 no.1
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    • pp.100-105
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    • 2000
  • Optimal medium composition, culture conditions, characteristics of phase variation and activity of insecticidal toxin by Xenorhabdus nematophilus isolated and identified from Korean entomopathogenic nematode Steinernema carpocapsae were examined. Optimal medium composition of this strain was 50-70 g/L yeast extract, 3 g/L $K_{2}HPO_{4}$, 1g/L $NH_{4}H_{2}PO_{4}$, 2g/L ${MgSO}_4$$\cdot$${7H}_{2}O$, 10g/L NaCl and, these, yeast extract was found as a limiting nutrient for cell growth. When Monod equation was applied, maxmum specific growth rate and Monod constant were estimated as 0.13 $hr^{-1}$ and 20g/L, respectively. The pH of culture medium increased up to 8.5-9.5 regardless of initial pH 6-7 as the cells continued to grow. The specific growth rate in a 7 L fermentor was 0.18 $hr^{-1}$, which was enhancement 1.4 fold compared to a flask culture. In case of phase variation, phase I fraction was maintained above 90% at the stationary phase for both flask and fermentor cultures. According to oral toxicity test of Gallena mellonella by Xenorhabdus nematophilus, the addition of cell pellets into feed inhibited normal growth of insect larvae and killed completely then after 20 days cultivation. When culture supernatant of this strain was injected into hemolymph of insect larva, the toxicity was strongest at 24hr cultivation in the early exponential phase and gradually decreased as the culture time proceeded.

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The Effects of Barley Tea Concentration and Atomizing Pressure on the Atomization with Two Fluid Nozzle Spray Gun (이류식(二流式) 노즐에서 보리차 추출액(抽出液)의 농도(濃度) 및 분무(噴霧) 압력(壓力)이 분무화(噴霧化)에 미치는 영향(影響))

  • Lee, Jeong-Cheol;Chun, Jae-Kun
    • Korean Journal of Food Science and Technology
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    • v.15 no.4
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    • pp.342-347
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    • 1983
  • The effects of barley tea concentration and atomizing air pressure on the size, homogeneity and distribution of the sprayed droplets were investigated. An equation relating mean diameter (${\overline{D}}$) with the concentration where the coefficient a and b were determined empirically. As the operating air pressure was increased, the mean diameter of the droplets decreased and finally reached the limiting mean diameter, $36{\mu}m$ at 15.7% barley tea concentration. The homogeneity of the droplets increased with the operating air pressure, increase and it was decreased steadily as the soluble solid concentration increased up to 20% and markedly over 20% at every operating air pressure. The distribution ($P_D$) of sprayed droplets related with the droplet size as the following exponential equation; $P_D$ = e 1nD + f where e and f are empirical constants.

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A Numerical Model for Predicting the Radial Power Profile in CANDU-PHWR Fuel Pellet (CANDU-PHWR 핵연료 소결체의 반경방향 출력분포 수치모형)

  • Woan Hwang;Suk, Ho-Chun;Jae, Won-Mok
    • Nuclear Engineering and Technology
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    • v.23 no.4
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    • pp.444-455
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    • 1991
  • An accurate and fast running NEDAR model for calculating radial power profile throughout fuel life in both solid and annular pellets for existing and advanced CANDU-PHWR-fuel was developed in this work. This model contains resultant flux depression equations and neutron depression data tables which have been developed for CANDU-PHWR fuel of pellet with the diameter 8.0 to 19.5 mm and enrichment 0.71-6.0 wt % U-235, over a bumup range of 0 to 840 MWh /kgU (35000 MWD/T). In order to obtain the neutron flux distribution in the fuel pellet, the CE-HAMMER physics code was run for a neutron flux spectrum appropriate to a CANDU-PHWR to give predictions of radial power profile for several ranges of fuel design parameters. The results, which were calculated by the CE-HAMMER physics code, were fitted to an equation which is solved in terms of Bessel and exponential functions in order to obtain the parameters, $textsc{k}$, $\beta$ and λ in the resultant equation. The present NEDAR model produce a radial profile which, when normalized to unity at the pellet surface, is slightly higher than the profile of the original ELESIM data table. The predictions of the fission gas release by KAFEPA-NEDAR are in slightly better agreement with the experiments than those of ELESIM. The NEDAR model described in this study has been shown to provide an effective, reliable, and accurate method for determining radial power profiles in CANDU-PHWR fuel rods without incurring a significant increase in computing time.

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The Study on Thermal Analysis and Thermodynamic Characteristics of Spinel Compounds(ZnCo2O4, NiCo2O4) (스피넬 구조를 가지는 전이금속화합물(ZnCo2O4, NiCo2O4)의 열적 분석 및 열역학적 특성 연구)

  • Kim, Jae-Uk;Ji, Myoung-Jin;Cha, Byung-Kwan;Kim, Chul-Hyun;Jang, Won-Cheoul;Kim, Jong-Gyu
    • Journal of the Korean Chemical Society
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    • v.54 no.2
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    • pp.192-197
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    • 2010
  • The spinel compound was obtained by the thermal decomposition of Zn-Co and Zn-Ni gel prepared by sol-gel method using oxalic acid as a chelating agent. The formation of spinel compound has been comfirmed by thermogravimetric analysis (TGA), x-ray powder diffraction (XRD) and infrared spectroscopy (IR). The particle size of 13 nm~16 nm was calculated by Scherrer's equation. The sol-gel method provides a practicable and effective route for the synthesis of the spinel compound at low temperature ($350^{\circ}C$). The kinetic parameters such as activation energy (Ea) and pre-exponential factor (A) for each compound were found by means of the Kissinger method and Arrhenius equation. The decomposition of spinel compound has an activation energy about 155 kJ/mol. Finally, the thermodynamic parameters (${\Delta}G^{\varphi}$, ${\Delta}H^{\varphi}$, ${\Delta}S^{\varphi}$) for decomposition of spinel compound was determined.

A Study on the Analysis of Time-Regional Distribution of PRecipitation Frequency and Rainfall INternsity in Korea. (강수빈도 및 강우강도의 시공적 분포분석에 관한 연구)

  • 이재준;손광익
    • Water for future
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    • v.14 no.4
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    • pp.53-72
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    • 1981
  • In this study, South Korea is divided into 5 zones and is studied about the analysis of time-regional distribution of previpitation frequency and rainfall intensity in Korea. In the previpitation frequency analysis, the basic data groups of 39 stations were selected. The diagram of previpitation frequency was drawn, and the time-regional distribution of precipitation frequency was analized. In the rainfall intensity analysis, the basic data groups of 36 stations were selected. The probable rainfall, I-D-F curve, and regression equation between 24hr. and 10min.-18hr. areal depth were obtained. The results of this study are following; 1) The precipitation class of max. recurrence probability in every season except summer was commonly (1) 1-5mm, (2) 0.1-1mm, (3) 5-10mm in order. 2) The zone of max. recurrence frequency owing to the precipitation class was zone II in precipitation frequency of below 20mm, zone IV in precipitation frequency of 30-40mm, zone I in precipitation frequency of above 70mm for a year. 3) The recurrence probability of precipitation in Korea can be represented to the equation of exponential function; $$W(x)=e^{\alpha+\beta}$$ 4) The first and third zones were expected heavy rain for the short and long duration. 5) The I.D.F. curves were drawn, and established that the time interval for the least deviation of I.D.F curve is 10~40min., 40min. -4hr., 4~24hr. 6) The regression equations of areal mean depth between 24hr. and 10min.-18hr. for each zone were obtained. 7)The probable rainfall of 36 points were calculated.

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