• Title/Summary/Keyword: simplified solution

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An analytical solution for the close-contact melting with vertical convection and solid-liquid density difference (종방향대류 및 고액밀도차가 고려된 접촉융해에 대한 해석해)

  • Yu, Ho-Seon;Hong, Hui-Gi;Kim, Chan-Jung
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.21 no.9
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    • pp.1165-1173
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    • 1997
  • The steady state close-contact melting phenomenon occurring between a phase change material and an isothermally heated flat plate with relative motion is investigated analytically, in which the effects of vertical convection in the liquid film and solid-liquid density difference are incorporated simultaneously. Not only the scale analysis is conducted to estimate a priori qualitative dependence of system variables on characteristic parameters, but also an analytical solution to a set of simplified model equations is obtained to specify the effects under consideration. These two results are consistent with each other, in that the vertical convection affects both the solid descending velocity and the film thickness, and that the density difference alters only the solid descending velocity. While the effect of vertical convection can be characterized conveniently by a newly introduced temperature gradient factor which asymptotically approaches the unity/zero with decreasing/increasing the Stefan number, that of density difference is represented by the liquid-to-solid density ratio. It is shown that the solid descending velocity depends linearly on the density ratio, and that the ratios of solid descending velocity, film thickness and friction coefficient to the conduction solution are proportional to 3/4, 1/4 and -1/4 powers of the temperature gradient factor, respectively. Also, established is the fact that the effect of convection can be legitimately neglected in the analysis for the range of the Stefan number less than 0.1.

An Innovative Process for High Fructose Corn Syrup Production Coupled with Direct Saccharification of Raw Corn Starch in a Bioattritor (생전분의 고농도 무증자당화법을 도입한 새로운 High Fructose Corn Syrup 제조공정)

  • 박동찬;이용현
    • Microbiology and Biotechnology Letters
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    • v.20 no.4
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    • pp.437-444
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    • 1992
  • An innovative process for high fructose corn syrup (HFCS) production coupled with direct saccharification of raw corn starch in the agitated bead enzyme reactor (bioattitor) was investigated. The required high concentration/purity of glucose solution suitable for isomerization was produced directly in a bioattritor. without condensation of hydrolyzate, 398 g glucose/$\ell$ and 98% glucose content from 400 g/$\ell$ (w/v) of raw corn starch after 24 hours. The unsaccharified residual starch could be separated easily upon centrifugation, and resaccharified. The obtained solution also possessed other desirable requirements as substrate for isomerization, such as. low concentrations of denatured protein and calcium ions, thereby, simplified the purification step. The obtained glucose solution was isomerized in an enzyme reactor paked with immobilized glucose isomerase to evaluate the suitability as a substrate. The proposed new HFCS process seems to have many advantages over the conventional process via liquefaction-saccharification steps. The follow-up investigations of the proposed process need to be conducted to evaluate the feasibility of industrial application.

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Optimization of One-step Extraction/Methylation Method for Analysis of Fatty Acid Composition in Brown Rice

  • Cho, Kyoung-Shim;Kim, Hyun-Ju;Moon, Sang-Mi;Kang, Jung-Hoon;Lee, Young-Sang
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.51 no.1
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    • pp.89-94
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    • 2006
  • Traditionally fatty acid composition used to be analysed by a GC and the sample preparation process includes lipid extraction from sample and subsequent methyl esters preparation, which are time-consuming and cumbersome. As an alternative, simultaneous extraction/methylation methods are being developed for rapid and simplified sample preparation. To optimize one-step extraction/methylation method for analysis of fatty acid composition in brown rice, various reaction factors such as sample to reaction solution ratio, reaction time and temperature, shaking intensity were changed and resultant fatty acid composition data were evaluated in comparison with previous reports. The ratio of sample weight to reaction solution volume was the most critical factor in that higher sample to reaction solution ratio caused overestimation of palmitic acid and linoleic acid composition, resulting in underestimation of oleic acid. Lower reaction temperature also induced overestimation of linoleic acid and underestimation of oleic acid. Reaction duration and the intensity of shaking prior to and during the reaction, however, caused no significant changes in analysis results. In conclusion, the optimum condition was mixing 5 grains (about 0.2 g) of brown rice with $680{\mu}L$ of extraction/methylation mixture and $400{\mu}L$ of heptane, followed by reaction at $80^{\circ}C$ for 2 hours.

A Study on the development for the primary school fluoride mouthrinsing project through the public health system in a rural area (공공보건조직을 통한 농촌지역 초등학교 불소양치사업 개발에 관한 연구 (1))

  • Choi, Jin-Su;Hong, Suk-Jin;Hwang, Min-Hong;Lee, Sang-Dae;Jeong, Seong-Soog
    • Journal of agricultural medicine and community health
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    • v.21 no.2
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    • pp.221-230
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    • 1996
  • This study was purposed to develop the fluoride mouthrinsing project through the public health system in a rural area. This project was performed under the management of the public health dentist for the 3rd grade students selected from the 5 primary schools at Goksunggun in Chonnam area. Fluoride mouthrinsing was executed with 0.2% neutral sodium fluoride solution once a week. After 1 year's fluoride mouthrinsing project, DMFT index, DMF rate frequencies of toothbrushing, simplified oral hygiene index, and the responses to fluoride mouthrinsing project of the school children participated were examined. The results obtained from this study were as follows: 1. The fluoride mouthrinsing project for school children was performed average 10 times a year by the public health dentist. They were relatively little active to perform this project. 2. There was no significant difference in the increasement of DMFT index and DMF rate during 1 year between control and fluoride mouthrinsing group. 3. Control group was increased higher than fluoride mouthrinsing group in simplified oral hygiene index. 4. Toothbrushing frequencies increased in both groups. 5. 80.4% of school children participated in fluoride mouthrinsing project was responded to like it, and 78.2% among them was responded the project to be beneficial for their dental health. 6. 39.2% of school children was responded to have water-like taste for fluoride solution. But 34.0% of them was done to have strange taste. On consideration of above findings, this fluoride mouthrinsing project was not well performed by the public health dentists and also the oral health status of school children participated was not significantly improved by this project. Therefore, to perform continually this project well, it was recommended that this project should be performed by other person such as dental hygienist rather than public health dentist.

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Disproof of Hadwiger Conjecture (Hadwiger 추측의 반증)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.14 no.5
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    • pp.263-269
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    • 2014
  • In this paper, I disprove Hadwiger conjecture of the vertex coloring problem, which asserts that "All $K_k$-minor free graphs can be colored with k-1 number of colors, i.e., ${\chi}(G)=k$ given $K_k$-minor." Pursuant to Hadwiger conjecture, one shall obtain an NP-complete k-minor to determine ${\chi}(G)=k$, and solve another NP-complete vertex coloring problem as a means to color vertices. In order to disprove Hadwiger conjecture in this paper, I propose an algorithm of linear time complexity O(V) that yields the exact solution to the vertex coloring problem. The proposed algorithm assigns vertex with the minimum degree to the Maximum Independent Set (MIS) and repeats this process on a simplified graph derived by deleting adjacent edges to the MIS vertex so as to finally obtain an MIS with a single color. Next, it repeats the process on a simplified graph derived by deleting edges of the MIS vertex to obtain an MIS whose number of vertex color corresponds to ${\chi}(G)=k$. Also presented in this paper using the proposed algorithm is an additional algorithm that searches solution of ${\chi}^{{\prime}{\prime}}(G)$, the total chromatic number, which also remains NP-complete. When applied to a $K_4$-minor graph, the proposed algorithm has obtained ${\chi}(G)=3$ instead of ${\chi}(G)=4$, proving that the Hadwiger conjecture is not universally applicable to all the graphs. The proposed algorithm, however, is a simple algorithm that directly obtains an independent set minor of ${\chi}(G)=k$ to assign an equal color to the vertices of each independent set without having to determine minors in the first place.

Regional Citrate Anticoagulatinln for Continuous Renal Replacement Therapy in Children (소아의 지속적 신대체요법에서 Citrate 항응고요법의 경험)

  • Hahn Hye-Won;Park Young-Seo
    • Childhood Kidney Diseases
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    • v.9 no.1
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    • pp.76-82
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    • 2005
  • Purpose : Regional anticoagulation with trisodium citrate for continuous renal replacement therapy(CRRT) is an effective and safe method, with lower bleeding risk. However it is not widely used because of complex current protocols used to prevent anticipated metabolic derangements. We evaluated simplified regional anticoagulation protocols with ACD-A(R) solution and commercially available calcium-containing dialysis solution. Methods : The medical records of twenty-eight patients who underwent CRRT were reviewed. Hemofilter life span according to the anticoagulation method used was compared, and laboratory findings at Pre- and 48 hours post-CRRT initiation were compared in the citrate-based CRRT group. Results : Of the twenty-eight Patients, five patients underwent citrate-based CRRT Hemofilter life span was 1.60 $\pm$ 0.72 days, showing no significant differences with the hemofilter life span in the heparin based and LMWH based CRRT group. No patients experienced hemorrhagic complications. PT, aPTT, sodium, t$CO_{2}$, iCa levels showed no difference in pre- and post-CRRT. Total calcium levels were increased. At the recommended postfilter iCa level, j.e., 0.25-0.39 mmol/L, all five patients needed increased amount of citrate infusion, and Ca infusion requirement was decreased. Conclusion : Simplified regional citrate anticoagulation with calcium-containing dialysate is an effective and safe method, and is not associated with increased hemofilter clotting. However, increased postfilter iCa level is recommended.

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Statistical review and explanation for Lanchester model (란체스터 모형에 대한 통계적 고찰과 해석)

  • Yoo, Byung Joo
    • The Korean Journal of Applied Statistics
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    • v.33 no.3
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    • pp.335-345
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    • 2020
  • This paper deals with the problem of estimating the log-transformed linear regression model to fit actual battle data from the Ardennes Campaign of World War II into the Lanchester model. The problem of determining a global solution for parameters and multicollinearity problems are identified and modified by examining the results of previous studies on data. The least squares method requires attention because a local solution can be found rather than a global solution if considering a specific constraint or a limited candidate group. The method of exploring this multicollinearity problem can be confirmed by a statistic known as a variance inflation factor. Therefore, the Lanchester model is simplified to avoid these problems, and the combat power attrition rate model was proposed which is statistically significant and easy to explain. When fitting the model, the dependence problem between the data has occurred due to autocorrelation. Matters that might be underestimated or overestimated were resolved by the Cochrane-Orcutt method as well as guaranteeing independence and normality.

Contraction of Alpha-nickel Hydroxide Layers by Excess Coulombic Attraction of Anions (전기화학적으로 형성된 알파 상 니켈 수산화물의 층간 거리에 미치는 음이온의 영향 연구)

  • Kim, Gwang-Beom;Ganesh Kumar, V.;Bae, Sang-Won;Lee, Jae-Seong
    • Journal of the Korean Chemical Society
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    • v.50 no.2
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    • pp.141-152
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    • 2006
  • In this study computer assisted instruction materials for the ‘Solution' chapter in high school chemistry II textbook were developed based on a view of particle and analyze the effect of the materials on 10th and 11th high school students. The contents of developed materials are dissolution, vapor pressure, the change of boiling point and freezing point, osmosis, and so on which are the major contents of Solution chapter in high school chemistry II textbook. Materials were developed with using animation and simulation for students understanding of the phenomena with a particle view point. Many phenomena in a solution were not simplified by colligative property of solution, but tried to explain by the concept of attraction between solute and solvent molecules. This computer assisted learning materials were developed using Flash 5.0 and Flash 6.0 Action Script. Educational effects of the materials on 10th and 11th grade students represented statistically meaningful increase of concept understanding. Especially the materials were effective to the transition stage or formal stage students in 10th grade and formal stage or the natural science major students in 11th grade.

A Study on Deflection Characteristic of Composite Girder with Incomplete Interaction (불완전 합성형의 처짐특성에 관한 연구)

  • Yong, Hwan Sun;Kim, Seok Tae;Kim, Yun Hwan
    • Journal of Korean Society of Steel Construction
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    • v.10 no.3 s.36
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    • pp.437-449
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    • 1998
  • In order that the steel girder and the concrete slab act as a composite structure, the connectors must have adequate strength and stiffness. If there are no horizontal or vertical separations at the interface, the connectors are described as rigid, and complete interaction can be said to exist under these idealized circumstances. However, all connectors are flexible to some extent, and therefore incomplete interaction always exists. This paper presents a practical structural analysis of composite girders with incomplete interaction by three methods. One is the stiffness matrix method derived from the general solutions of differential equation, another is the finite element analysis that alternate method of solution treats the structure as a frame and defines the spring as an additional member, and the other is the finite element analysis using principle of virtual work. The deflection characteristic of composite girder is investigated using these three methods. Also, this paper propose a simplified procedure of estimating a degree of imperfection for a composite girder with incomplete interaction using the sectional properties of girder and spring constants of shear connectors.

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A study on the analytical method for calculating the inside air temperature transient and energy consumption load of the building using two different controllers (두개의 제어기를 사용한 건물 내부의 온도변화와 에너지소비량을 계산하기 위한 해석적 연구)

  • Han, Kyu-Il
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.48 no.1
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    • pp.82-90
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    • 2012
  • Four different buildings having various wall construction are analyzed for the effect of wall mass on the thermal performance and inside building air and wall temperature transient and also for calculating the energy consumption load. This analytical study was motivated by the experimental work of Burch et al. An analytical solution of one-dimensional, linear, partial differential equations is obtained using the Laplace transform method, Bromwich and modified Bromwich contour method. A simple dynamic model using steady state analysis as simplified methods is developed and results of energy consumption loads are compared with results obtained using the analytical solution. Typical Meteorological Year data are processed to yield hourly average monthly values. This study is conducted using weather data from two different locations in Korea: Daegu having severe weather in summer and winter and Jeju having mild weather almost all year round. There is a significant wall mass effect on the thermal performance of a building in mild weather condition. Buildings of heavyweight construction with insulation show the highest comfort level in mild weather condition. A proportional controller provides the higher comfort level in comparison with buildings using on-off controller. The steady state analysis gives an accurate estimate of energy load for all types of construction. Finally, it appears that both mass and wall insulation are important factors in the thermal performance of buildings, but their relative merits should be decided in each building by a strict analysis of the building layout, weather conditions and site condition.