• Title/Summary/Keyword: Fractions as ratios

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Experimental Study on Compression/Absorption High-Temperature Hybrid Heat Pump with Natural Refrigerant Mixture (천연혼합냉매를 이용한 압축/흡수식 고온히트펌프의 실험적 연구)

  • Kim, Ji-Young;Park, Seong-Ryong;Baik, Young-Jin;Chang, Ki-Chang;Ra, Ho-Sang;Kim, Min-Sung;Kim, Yong-Chan
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.35 no.12
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    • pp.1367-1373
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    • 2011
  • This research concerns the development of a compression/absorption high-temperature hybrid heat pump that uses a natural refrigerant mixture. Heat pumps based on the compression/absorption cycle offer various advantages over conventional heat pumps based on the vapor compression cycle, such as large temperature glide, temperature lift, flexible operating range, and capacity control. In this study, a lab-scale prototype hybrid heat pump was constructed with a two-stage compressor, absorber, desorber, desuperheater, solution heat exchanger, solution pump, liquid/vapor separator, and rectifier as the main components. The hybrid heat pump system operated at 10-kW-class heating capacity producing hot water whose temperature was more than $90^{\circ}C$ when the heat source and sink temperatures were $50^{\circ}C$. Experiments with various $NH_3/H_2O$ mass fractions and compressor/pump circulation ratios were performed on the system. From the study, the system performance was optimized at a specific $NH_3$ concentration.

An Analysis of Teachers' Pedagogical Content Knowledge about Teaching Ratio and Rate (비와 비율 지도에 대한 교사의 PCK 분석)

  • Park, Seulah;Oh, Youngyoul
    • Journal of Elementary Mathematics Education in Korea
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    • v.21 no.1
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    • pp.215-241
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    • 2017
  • This study analyzed teachers' Pedagogical Content Knowledge (PCK) regarding the pedagogical aspect of the instruction of ratio and rate in order to look into teachers' problems during the process of teaching ratio and rate. This study aims to clarify problems in teachers' PCK and promote the consideration of the materialization of an effective and practical class in teaching ratio and rate by identifying the improvements based on problems indicated in PCK. We subdivided teachers' PCK into four areas: mathematical content knowledge, teaching method and evaluation knowledge, understanding knowledge about students' learning, and class situation knowledge. The conclusion of this study based on analysis of the results is as follows. First, in the 'mathematical content knowledge' aspect of PCK, teachers need to understand the concept of ratio from the perspective of multiplicative comparison of two quantities, and the concept of rate based on understanding of two quantities that are related proportionally. Also, teachers need to introduce ratio and rate by providing students with real-life context, differentiate ratios from fractions, and teach the usefulness of percentage in real life. Second, in the 'teaching method and evaluation knowledge' aspect of PCK, teachers need to establish teaching goals about the students' comprehension of the concept of ratio and rate and need to operate performance evaluation of the students' understanding of ratio and rate. Also, teachers need to improve their teaching methods such as discovery learning, research study and activity oriented methods. Third, in the 'understanding knowledge about students' learning' aspect of PCK, teachers need to diversify their teaching methods for correcting errors by suggesting activities to explore students' own errors rather than using explanation oriented correction. Also, teachers need to reflect students' affective aspects in mathematics class. Fourth, in the 'class situation knowledge' aspect of PCK, teachers need to supplement textbook activities with independent consciousness and need to diversify the form of class groups according to the character of the activities.

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Effect of Hooked-end Steel Fiber Volume Fraction and Aspect Ratio on Flexural and Compressive Properties of Concrete (후크형 강섬유 혼입율 및 형상비에 따른 콘크리트의 휨 및 압축 특성)

  • Kim, Dong-Hui;Jang, Seok-Joon;Kim, Sun-Woo;Park, Wan-Shin;Yun, Hyun-Do
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.25 no.3
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    • pp.40-47
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    • 2021
  • This study investigates the influence of hooked-end steel fiber volume fraction and aspect ratio on the mechanical properties, such as compressive and flexural performance, of concrete with specified compressive strength of 30MPa. Three types of hooked-end steel fibers with aspect ratios of 64, 67 and 80 were selected. The flexural tests of steel fiber reinforced concrete (SFRC) prismatic specimens were conducted according to EN 14651. The compressive performance of SFRC with different volume fractions (0.25, 0.50 and 0.75%) were evaluated through standard compressive strength test method (KS F 2405). Experimental results indicated that the flexural strength, flexural toughness, fracture energy of concrete were improved as steel fiber volume fraction increases but there is no unique relationship between steel fiber volume fraction and compressive performance. The flexural and compressive properties of concrete incorporating hooked-end steel fiber with aspect ratio of 64 and 80 are a little better than those of SFRC with aspect ratio of 67. For each SFRC mixture used in the study, the residual flexural tensile strength ratio defined in Model Code 2010 was more than the limit value to be able to substitute rebar or welded mesh in structural members with the fiber reinforcement.

Fractionation of Heavy Metals and Correlation with Their Contents in Rice Plant Grown in Paddy near Smelter Area (제련소 인근 논 토양 중 중금속 형태 분류 및 수도체중 중금속 함량과의 상관성)

  • Kim, Seong-Jo;Baek, Seung-Hwa;Moon, Kwang-Hyun
    • Korean Journal of Environmental Agriculture
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    • v.15 no.1
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    • pp.1-10
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    • 1996
  • The contents of heavy metals in soil near the Janghang smelter area were observed to understand present status and relationship between their fraction and the absorption by rice. The soil samples were taken from the eight sites of the paddy fields in 1982 and 1990, and analysis on heavy metals including Cd, Zn, Cu and Pb was performed. The results were as follows: Total contents of heavy metals in the samples of 1990 were higher than those of 1982. The order of increasing ratio was Cu > Zn > Pb > Cd and the variation of Cd content by sequential differente extracting was residual > exchangeable > dilute acid-extractable fractions and its increasing range was from 38 to 71% during nine years. The ratio of immobile heavy metals bound within an oxide or silicate matrix of Fe-Mn oxide bound and residual in surface soil was that Cd, Pb, Cu and Zn were 31.65, 42.22, 76.57 and 79.49%, respectively, and their mobile ratios of exchangeable, dilute acid-extractable and organically bound were more than 20.28%. Those of mobile Cd, Pb, Cu and Zn were 68.35, 55.78, 23.43 and 20.28%, respectively. Correlation between the heavy metal contents in surface soil and those in tissue of rice plant, such as leaf blade, leaf sheath, stem and panicle axis, were significant, but were not significant in subsurface soil. The dilute acid-extractable and organically bound fractions of Cd, Cu, Pb and Zn in surface soil were more significantly correlated with those in tissues of paddy rice.

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Mineral Chemistry and Geochemistry of the Bentonites Intercalated within the Basal Conglomerates of the Tertiary Sediments in Korea and Their Stratigraphical Implication (제3기층 기저역암에 협재되는 벤토나이트의 광물학, 지화학적 연구 및 층서적 적용)

  • 이종천;이규호;문희수
    • Economic and Environmental Geology
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    • v.34 no.1
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    • pp.13-23
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    • 2001
  • Bentonite layers are intercalated within the basal conglomerates in the Tertiary sedimentary basins of Kampo, Janggi and Pohang, southeastern Korea. Eighteen samples of the bentonites went through X-ray diffraction, scanning electron microscopy, heavy mineral analyses, chemical analyses and oxygen, hydrogen stable isotope analyses to define the mineralogical characters of the bentonites. Heavy minerals such as zircons, apatites, amphiboles and biotites separated from bentonites show clean and euhedral surfaces, which are the characteristic features of volcanic origin. But biotites from the Chunbook Conglomerate are found as altered and heavily broken flakes which implies longer transportation of these bentonites. $TiO_{2}/Al_{2}O_{3} ratios of <2 $\mu$m particle fractions (the Chunbook Conglomerate 0.031; Janggi 0.029; Kampo 0.025) suggest that those are originated from volcanic tuffs. That is, the higher the value is, the more mafic in chemical compositions of the original tuffs. Authigenic montmorillonite and zeolite minerals were observed by SEM, which indicates diagenesis origin of bentonites. But the samples from the Chunbook Conglomerate showed only chaotically packed clay flakes in the matrix of sands or conglomerates, which implies detrital influence, not authigenic origin. The structural formulae of montmorillonite from these basins reflects their environment of formation. Fe (Ⅵ) can show the redox condition of its past environment and much lower $Fe^{2+}(Ⅵ)/Fe^{3+}(Ⅵ)$ ratios in montmorillonite of the Chunbook Conglomerate imply the greater oxidizing influence. Calculated burial depths from oxygen stable isotope data of the samples from the Chunbook Conglomerate generally fall to the range of 929~963 m whereas the real burial depth of this area is only 530~580 m. This could be explained as the bentonites of the Chunbook conglomerate had not been formed in situ. Discriminant analyses with the data from chemical analyses and structural formulae of montmorillonites show that bentonites from three different basins could definitely be distinguished with each other. This result arises from the different chemical compositions of original volcanic ashes and the difference of sedimentary environments.

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Composition and pollution characteristics of PM10 and PM2.5 particles at Gosan site of Jeju Island in 2008 (PM10, PM2.5 미세먼지의 조성 및 오염 특성: 2008년 제주도 고산지역 측정 결과)

  • Lee, Soon-Bong;Jung, Duk-Sang;Cho, Eun-Kyung;Kim, Hyeon-A;Hwang, Eun-Yeong;Kang, Chang-Hee
    • Analytical Science and Technology
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    • v.24 no.4
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    • pp.310-318
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    • 2011
  • The collection of atmospheric $PM_{10}$ and $PM_{2.5}$ particle samples was made at Gosan site of Jeju Island, which is one of the most representative background sites in Korea. Their chemical compositions have been analyzed to explore the pollution characteristics and emission sources. The mass concentrations of $PM_{10}$ and $PM_{2.5}$ particles were $37.6{\pm}20.1$ and $22.9{\pm}14.3{\mu}g/m^3$, respectively, with the content of $PM_{2.5}$ to $PM_{10}$ as 61%. The $PM_{2.5}/PM_{10}$ ratios of nss-$SO_4^{2-}$, $NO_3^-$, and $NH_4^+$ were 0.94, 0.56, 1.02, respectively, indicating that these components were distributed mostly in the fine fractions. Based on the factor analysis, it was found that the compositions of fine particles were mainly influenced by anthropogenic sources, followed by soil or marine sources. The results of the backward trajectory analysis indicate that the concentrations of nss-$SO_4^{2-}$, $NO_3^-$, $NH_4^+$, nss-$Ca^{2+}$, and Pb were high when the air parcels moved from the China continent, while relatively low with the air parcels coming from North Pacific Ocean and/or East Sea.

Acidification and Neutralization Characteristics of Atmospheric Fine Particles at Gosan Site of Jeju Island in 2008 (제주도 고산지역 대기 미세입자의 산성화 및 중화 특성: 2008년 측정 결과)

  • Lee, Dong-Eun;Kim, Won-Hyung;Jo, Eun-Kyung;Han, Jong-Heon;Kang, Chang-Hee;Kim, Ki-Hyun
    • Journal of Korean Society for Atmospheric Environment
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    • v.27 no.5
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    • pp.603-613
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    • 2011
  • The collection of $PM_{10}$ and $PM_{2.5}$ samples was made at Gosan site of Jeju Island. Their ionic compositions of both inorganic and organic phases were then analyzed to examine their acidification and neutralization characteristics in atmospheric aerosols. The mass concentrations of $PM_{10}$ and $PM_{2.5}$ at Gosan site were $37.6{\pm}20.1$ and $22.9{\pm}14.3{\mu}g/m^3$, respectively, showing the content ratio of $PM_{2.5}$ to $PM_{10}$ as 61.0%. In the evaluation of ionic balance, the correlation coefficients (r) between the sums of cationic and anionic equivalent concentrations were excellent with 0.982 ($PM_{10}$) and 0.991 ($PM_{2.5}$). The concentration ratios of $PM_{2.5}/PM_{10}$ derived for nss-$SO_4^{2-}$, $NO_3^-$, and $NH_4^+$ were 0.94, 0.56, and 1.02, respectively, indicating the relative dominance of fine fractions. The acidifying capacity of inorganic anions ($SO_4^{2-}$ and $NO_3^-$) in $PM_{10}$ and $PM_{2.5}$ were 96.5% and 97.3%, while those of organic anions ($HCOO^-$ and $CH_3COO^-$) in each fraction were 2.9% and 2.0%, respectively. On the other hand, the neutralizing capacity of $PM_{10}$ and $PM_{2.5}$ by $NH_3$ were 72.8% and 82.3%, while their $CaCO_3$ counter parts were 22.5% and 13.3%, respectively.

Effect of Partial Replacement of Wheat Flour with High Quality Cassava Flour on the Chemical Composition, Antioxidant Activity, Sensory Quality, and Microbial Quality of Bread

  • Eleazu, Chinedum;Eleazu, Kate;Aniedu, Chinyere;Amajor, John;Ikpeama, Ahamefula;Ebenzer, Ike
    • Preventive Nutrition and Food Science
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    • v.19 no.2
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    • pp.115-123
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    • 2014
  • In the current study, wheat flour was mixed with high quality cassava flour (HQCF) in several ratios: 90:10, 80:20, 70:30, and 60:40, and used to prepare 10%, 20%, 30%, and 40% National Root Crops Research Institute (NRCRI) cassava bread, respectively. 100% wheat bread was prepared as a control (100% wheat bread). Five bread samples were prepared per group. Antioxidant assays [i.e., 2,2-diphenyl-1-picrylhydrazyl radical (DPPH) scavenging assay, reducing power assay] revealed that the bread samples had considerable antioxidant capacities. Substitution of wheat flour with HQCF at various concentrations resulted in dose dependent decreases in the mineral and protein contents of the resulting bread samples. The crude fiber content of the bread samples was minimal, while the carbohydrate content of the bread samples ranged from 43.86% to 48.64%. A 20% substitution of wheat flour with HQCF yielded bread samples with a general acceptability that was comparable to that of 100% wheat bread. The mean bacteria counts of the bread samples ranged from $2.0{\times}10^3CFU/mL$ to $1.4{\times}10^4CFU/mL$, while the fungal counts ranged from 0 CFU/mL to $3{\times}10^3CFU/mL$. There was a positive correlation between the DPPH antioxidant activities and the reducing powers of the bread samples ($R^2=0.871$) and a positive correlation between the DPPH antioxidant activities and the flavonoid contents of the bread samples ($R^2=0.487$). The higher microbial load of the NRCRI cassava bread samples indicates that these bread samples may have a shorter shelf life than the 100% wheat bread. The significant positive correlation between total flavonoid content and reducing power ($R^2=0.750$) suggests that the flavonoids present in the lipophilic fractions of the bread samples could be responsible for the reductive capacities of the bread samples.

The Ductile Behavior Test of Ultra High Performance Fiber Reinforced Concrete Rectangular Beam by the Combination of the Fiber and Group of Reinforcing Bars (강섬유와 철근집합체 조합에 의한 초고강도 섬유보강 콘크리트 직사각형보의 연성거동에 대한 실험)

  • Han, Sang-Mook;An, Jin-Woo
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.19 no.3
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    • pp.139-148
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    • 2015
  • The purpose of this paper is to induce the ductile behavior of the UHPFRC member after the peak load by using the bundle of longitudinal reinforcing bar as a substitute for steel fiber. Experiments on the flexural behavior of the Ultra High Performance Concrete rectangular beam with the combination of the steel fiber and longitudinal reinforcing bar were carried out. The volume fractions of steel fiber are 0%, 0.7%, 1%, 1.5%, 2% and the reinforcement ratios of longitudinal reinforcing bar which induce the ductile behavior are 0.0036, 0.016, 0.028 and 0.036. 15 UHPC beams were made with the combination of these test factors. Not only steel fiber but also bundle of longitudinal reinforcing bar has the effect to induce ductile behavior of UHPC structural member. The combination of 0.7% volume fraction of steel fiber and 0.028 reinforcement ratio showed the most economic combination. The relationship of load-deflection, strain variation of the concrete and the crack pattern indicate the usefulness of the bundle of the longitudinal bar which has small diameter with close arrangement each other.

Studies on the Lipid Content and Neutral Lipid Composition of Brown Rice and Milled Rice (현미와 백미의 지질 함량 및 중성 지질의 조성에 관한 연구)

  • Lee, Hee-Ja;Lee, Hyun-Joo;Byun, Si-Myung;Kim, Hyong-Soo
    • Korean Journal of Food Science and Technology
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    • v.20 no.4
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    • pp.585-593
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    • 1988
  • The lipid contents and neutral lipid components of brown rice, milled rice and bran were studied for four varieties of rice such as Nampung, Milyang #23, Whasung and Jinhung. Total lipid contents of brown rice, milled rice and bran were 2.65%, 1.09% and 20.24% respectively. The ratios of neutral lipids, glycolipids and phospholipids in total lipids were 82.53:12.39:4.08 in brown rice and 87.72:7.02:5.26 in bran. Neutral lipids were separated on the TLC; among them 6 neutral lipids were identified by comparing the RF value of standards. Triglycerides(TG), free fatty acids(FFA) and steryl esters(SE) were major neutral lipid components in brown rice, milled rice and bran. TG content of the bran, compared to that of brown rice and milled rice, was very low in contrast the FFA content was high. The major fatty acids of total lipid and neutral lipid fractions were palmitic, linoleic and oleic acids, comprising over 95% of these classes.

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