• Title/Summary/Keyword: ${\tau}_m$

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A TYPE OF FRACTIONAL KINETIC EQUATIONS ASSOCIATED WITH THE (p, q)-EXTENDED 𝜏-HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS

  • Khan, Owais;Khan, Nabiullah;Choi, Junesang;Nisar, Kottakkaran Sooppy
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.2
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    • pp.381-392
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    • 2021
  • During the last several decades, a great variety of fractional kinetic equations involving diverse special functions have been broadly and usefully employed in describing and solving several important problems of physics and astrophysics. In this paper, we aim to find solutions of a type of fractional kinetic equations associated with the (p, q)-extended 𝜏 -hypergeometric function and the (p, q)-extended 𝜏 -confluent hypergeometric function, by mainly using the Laplace transform. It is noted that the main employed techniques for this chosen type of fractional kinetic equations are Laplace transform, Sumudu transform, Laplace and Sumudu transforms, Laplace and Fourier transforms, P𝛘-transform, and an alternative method.

Influence of Anisotropic Property Ratio of Orthotropic Material on Stress Components and Displacement Components at Crack tip Propagating with Constant Velocity Under Dynamic Mode I (동적모드 I 상태에서 직교 이방성체의 이방성비가 등속전파 균열선단의 응력성분과 변위성분에 미치는 영향)

  • 이광호;황재석;최선호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.1
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    • pp.87-98
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    • 1995
  • When the crack in orthotropic material is propagating under dynamic model I load, influences of anisotropic property ratio $E_{L}$/ $E_{T}$ on stress and displacement around propagating crack tip are studied in this paper. When M<0.55 and .alpha.=90.deg.(.alpha.; the angle of fiber direction with crack propagating direction, M; crack propagation velocity/shear stress wave velocity), the influence of $E_{L}$/ $E_{T}$ on stress .sigma.$_{x}$, .sigma.$_{y}$, .tau.$_{xy}$ and .sigma.$_{\theta}$ is the greast on .sigma.$_{y}$. Except M<0.55 and .alpha.=90.deg., it is the greast on .sigma.$_{x}$ in any situation. Increasing $E_{L}$/ $E_{T}$, stress components are increased or decreased. When maximum stress is based, the stress .sigma.$_{x}$(.alpha.=90.deg.), .sigma.$_{y}$(.alpha.=0.deg.) and .tau.$_{xy}$ (.alpha.=90.deg.) are decreased with increment of $E_{L}$/ $E_{T}$ in M=0. any stresses except .sigma.$_{*}$x/(.alpha.=0.deg.) are decreased with increment of $E_{L}$/ $E_{T}$ in M=0.9. When .alpha.=90.deg., the influence of $E_{L}$/ $E_{T}$ on displacement U and V is V>U in any velocities of crack propagation, when .alpha.=0.deg., it is VU in M>0.75 and when $E_{L}$/ $E_{T}$ is increased, U and V are decreased in any conditions.sed in any conditions.tions.tions.tions.

Antioxidative Effect of Extracts from Different Parts of Juncus effusus L. (골풀 부위별 추출물의 항산화 효과)

  • Choi, Chang-Hwan;Won, Doo-Hyun;Hwang, Jun-Pil;Park, Soo-Nam
    • Journal of the Society of Cosmetic Scientists of Korea
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    • v.38 no.3
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    • pp.275-282
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    • 2012
  • In this study, the antioxidative effects of extracts from different parts of Juncus effusus L. were investigated. The three parts (above-ground part, below-ground part, medulla part) were selected. 50 % ethanol extract, ethyl acetate and aglycone fractions of J. effusus L. were used in experiments. The highest DPPH (1,1-diphenyl-2-picrylhydrazyl) scavenging activities ($FSC_{50}$) was shown by medulla part (42.9 ${\mu}g/mL$) in 50 % ethanol extracts, below-ground part (12.1 ${\mu}g/mL$) in ethyl acetate fractions, and below-ground part (12.1 ${\mu}g/mL$) in aglycone fractions. Reactive oxygen species (ROS) scavenging activities ($OSC_{50}$) on ROS generated in $Fe^{3+}$-EDTA/$H_2O_2$ system using the luminol-dependent chemiluminescence assay showed the most prominent effect of medulla part (0.29 ${\mu}g/mL$) in 50 % ethanol extracts, below-ground part (0.25 ${\mu}g/mL$) in ethyl acetate fractions, and medulla part (0.20 ${\mu}g/mL$) in aglycone fractions. The cellular protective effects of extract/fractions of J. effusus L. on the rose-bengal sensitized photohemolysis of human erythrocytes were increased in a concentration dependent manner (0.5 ~ 10 ${\mu}g/mL$). Especially, aglycone fraction of medulla part at a concentration of 10 ${\mu}g/mL$ showed the most prominent protective effect among all extracts (${\tau}_{50}$, 321.0 min). These results indicate that extracts from below-ground part and medulla part of J. effusus L. extracts can be used as an natural antioxidant. Particularly, J. effusus L. can protect suggesting a high ${\tau}_{50}$ skin where many $^1O_2$ was generated by sunlight exposure.

Antioxidant, Antimicrobial and Cytoprotective Effects of the Extract and Its Fraction Obtained from Rhizomes of Belamcanda chinensis (L.) DC (범부채 뿌리 추출물 및 분획물의 항산화, 항균 및 세포 보호 효과)

  • Song, Ba Reum;Lee, Sang Lae;Lee, Yun Ju;Shin, Hyuk Soo;Park, Soo Nam
    • Applied Chemistry for Engineering
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    • v.29 no.6
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    • pp.772-781
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    • 2018
  • In this study, we investigated antioxidant, antimicrobial and cytoprotective effects of 50% ethanol extract and ethyl acetate fraction from rhizomes of Belamcanda chinensis (L.) DC. 1,1-Diphenyl-2-picrylhydrazyl (DPPH) free radical scavenging activities ($FSC_{50}$) of the 50% ethanol extract and ethyl acetate fraction were 621.5 and $253.0{\mu}g/mL$, respectively. Total antioxidant capacities ($OSC_{50}$) of the extract and fraction were 13.6 and $3.0{\mu}g/mL$, respectively. Minimum inhibitory concentrations (MIC) of the ethyl acetate fraction for Staphylococcus aureus and Candida albicans were 156, $1,250{\mu}g/mL$, respectively, indicating similar or higher levels of those of using methyl paraben. Cytoprotective effects of the 50% ethanol extract against $^1O_2$-induced cellular damage (${\tau}_{50}$) showed in a dose dependent manner at 4 to $64{\mu}g/mL$. ${\tau}_{50}$ of the 50% ethanol extract, ethyl acetate fraction and (+)-${\alpha}$-tocopherol at $16{\mu}g/mL$ were 36.4, 45.0 and 45.8 min respectively, and the ethyl acetate fraction showed cytoprotective effects similar to (+)-${\alpha}$-tocopherol. In ultraviolet B radiation-induced HaCaT cell damage, the ethyl acetate fraction decreased intracellular reactive oxygen species (ROS) up to 45.9% at $8{\mu}g/mL$. Also in $H_2O_2$-induced HaCaT cell damage, the ethyl acetate fraction significantly increased the cell viability at $0.5{\sim}8.0{\mu}g/mL$. As a result of chemical analyses of the ethyl acetate fraction, the presence of flavonoids and polyphenol such as irisflorentin, irigenin, tectorigenin, resveratrol, iridin and tectoridin were identified. In conclusion, the extract/fraction from rhizomes of B. chinensis can be applied as a natural antioxidant and antimicrobial material to cosmetics.

Rheological Characteristics and Debris Flow Simulation of Waste Materials (광산폐석의 유변학적 특성과 토석류 흐름특성 분석)

  • Jeong, Sueng Won
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.34 no.4
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    • pp.1227-1240
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    • 2014
  • Abandoned mines often cause environmental problems, such as alteration of landscape, metal contamination, and landslides due to a heavy rainfall. Geotechnical and rheological tests were performed on waste materials corrected from Imgi waste rock dump, located in Busan Metropolitan City. Debris flow mobility was examined with the help of 1-D BING model which was often simulated in both subaerial and subaqueous environments. To determine flow curve, we used a vane-penetrated rheometer. The shear stress (${\tau}$)-shear rate (${\dot{\gamma}}$) and viscosity(${\eta}$)-shear rate (${\dot{\gamma}}$) relationships were plotted using a shear stress control mode. Well-known rheological models, such as Bingham, bilinear, Herschel-Bulkley, Power-law, and Papanastasiou concepts, were compared to the rheological data. From the test results, we found that the tested waste materials exhibited a typical shear shinning behavior in ${\tau}$-${\dot{\gamma}}$ and and ${\eta}$-${\dot{\gamma}}$ plots, but the Bingham behavior is often observed when the water contents increased. The test results show that experimental data are in good agreement with rheological models in the post-failure stage during shearing. Based on the rheological properties (i.e., Bingham yield stress and viscosity as a function of the volumetric concentration of sediment) of waste materials, initial flowing shape (5 m, 10 m, and 15 m) and yield stress (100 Pa, 200 Pa, 300 Pa, and 500 Pa) were input to simulate the debris flow motion. As a result, the runout distance and front velocity of debris flow are in inverse propositional to yield stress. In particular, when the yield stress is less than 500 Pa, most of failed masses can flow into the stream, resulting in a water contamination.

A Laboratory Study on Erosional Properties of Fine Cohesive Sediments from Saemankeum Artificial Lake (새만금 인공호 점착성 퇴적물의 침식특성에 대한 실험적 연구)

  • Hwang, Kyu-Nam;Kim, Hyun-Min;Ahn, Ik-Jang
    • Journal of Korea Water Resources Association
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    • v.41 no.5
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    • pp.473-482
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    • 2008
  • The purpose of this study is to quantitatively estimate the erosional properties for cohesive sediment from Saemankeum artificial lake. A series of erosion tests were conducted with Chonbuk annular flume, which is the first one constructed in this country and verified with validities. Each erosion tests were conducted under a uniform bed condition but a different bed density respectively, and its critical shear stress for erosion(${\tau}_{ce}$) as well as the erosion rate coefficient (${\varepsilon}_M$) were determined quantitatively. Since the erosional properties of the cohesive sediments vary largely depending in the physico-chemical properties, such properties of Saemankeum sediments were also estimated and their effects on the erosional properties were analyzed. For Saemankeum sediments, it can be seen that ${\tau}_{ce}$ increases from $0.26N/m^2$ to $0.52N/m^2$ and ${\varepsilon}_M$ decreases exponentially from $14.28mg/cm^2\;hr$ to $6.02mg/cm^2\;hr$, as the bed density varies from $1.17g/cm^3$ to $1.34g/cm^3$. The erosional parameters of Saemankeum sediments are found to be remarkably different in quantity as compared with those for cohesive sediments from other sites. Particularly, ${\tau}_{ce}$ for Saemankeum sediments is known to be larger than that of Kunsan sediments but similar with that of Shihwa sediments, while ${\varepsilon}_M$ for Saemankeum sediments is shown to be smaller than that for Kunsan sediments.

The Microstructure and Microwave Dielectric Properties of Ceramics in the System CaTiO3-Li0.5Nd0.5TiO3

  • Lowe, Tristan;Azough, Feridoon;Freer, Robert
    • Journal of the Korean Ceramic Society
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    • v.40 no.4
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    • pp.328-332
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    • 2003
  • Ceramics of xCaTiO$_3$-(1-x)Li$_{0.5}$Nd$_{0.5}$TiO$_3$(xCT-(1-x)LNT) series have been prepared by the mixed oxide route. Powders were calcined at 110$0^{\circ}C$ ; cylindrical specimens were fired at temperatures in the range 1300-150$0^{\circ}C$. Sintered products were typically 90-95% dense. The microstructures were dominated by angular grains typically 1.3${\mu}{\textrm}{m}$ to 3.5 ${\mu}{\textrm}{m}$ in size. Twinning in the microstructures was analysed using Electron Back Scattered Diffraction (EBSD). Microwave dielectric properties of xCT-(1-x)LNT at 2.1 GHz ($\varepsilon$$_{r}$, Qxf, and $\tau$r) were 170,3800 GHz and 744 ppm/$^{\circ}C$ for pure CaTiO$_3$ and 80,2000 GHz and -240 ppm/$^{\circ}C$ for LNT. The $\tau$r decreases almost linearly from 744 for pure CaTiO$_3$ to -240 for pure LNT.LNT.T.

Amperometric Kinetics of Hydrogen Peroxide Biosensor Bound with Natural Rubber (천연고무로 결합된 과산화수소 정량 바이오센서의 전류법 속도론)

  • Rhyu, Keun-Bae;Yoon, Kil-Joong
    • Applied Chemistry for Engineering
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    • v.21 no.6
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    • pp.689-693
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    • 2010
  • When natural rubber dissolved in toluene comes into use as a binder of carbon powder, the volatilization of solvent just after the construction of biosensor brought the mechanical robustness on the paste. This characteristic satisfied the pre-requisite condition for the practical use of carbon paste electrode and a biosensor for the determination of hydrogen peroxide was designed. In order to evaluate its electrochemical qualitative and quantitative behaviors, various electrochemical kinetic parameters of the electrode, e.g. the symmetry factor (${\alpha}$, 0.37), the exchange current density ($i_0$, $0.075mAcm^{-2}$), the capacitance of double layer ($C_d$, $9.7{\times}10^{-3}F$), the time constant (${\tau}_A$, 0.92 s), the maximum current ($i_{max}$, $5.92{\times}10^{-7}Acm^{-2}$), the Michaelis constant ($K_M$, $1.99{\times}10^{-3}M$) and others were investigated. Results show that natural rubber is a promising binder of carbon powder.

A Study of Temperature Changes in the Dental Tissues Irradiated by $10.6{\mu}m$ Laser Beam ($CO_2$ 레이저 광의 조사조건에 따른 치아의 치수강내 온도상승에 관한 연구)

  • Ko, D. S.;Bak, Y. H.;Shin, S. H.;Eom, H. S.;Kim, U.;Lee, C. Y.
    • Korean Journal of Optics and Photonics
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    • v.1 no.2
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    • pp.210-216
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    • 1990
  • This study was performed to obtain fundamental data on temperature increases in the dental tissues irradiated by IO.opm laser radiation. For this purpose a experimental facility was established. which was composed of a CO2 laser. a shutter unit and a temperature sensing device. The temperature changes in the pulp chamber of extracted molars. during and after the laser irradiation. were measured as function of laser power. the time of irradration and the thickness of the sample. An empirical formula for the maximum temperature increases, $\DeltaT_m$ was derived from the measured data as follows; $\DeltaT_m=\alphaP\Delta\tauexp(-\betad)$$ where P. $\Delta\tau$ and d are the laser power(W). irradiation time{sec) and the thickness(mm) between pulp chamber and occlusal surface. respectively. Also a theoretical calculation model based on simplified assumptions were established and the results from the calculation were compared with the measured temperature data. A fairly good agreement was obtained.obtained.

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Antioxidative Effect and Active Component Analysis of Gnaphalium affine D. DON. Extracts (떡쑥 추출물의 항산화 효과 및 활성 성분 분석)

  • Kim, Hae Soo;Im, Na Ri;Park, Jun Ho;Kim, Myeong-Ok;Park, Soo Nam
    • Journal of the Society of Cosmetic Scientists of Korea
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    • v.40 no.1
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    • pp.11-20
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    • 2014
  • In this work, the antioxidative effects and active component analysis of Gnaphalium affine D. DON. (G. affine) extracts were investigated. All experiments were performed with 70% ethanol extract, ethyl acetate fraction and aglycone fraction of the G. affine extract. The free radical (1,1-diphenyl-2-picrylhydrazyl, DPPH) scavenging activity ($FSC_{50}$) of ethyl acetate fraction ($6.15{\mu}g/mL$) of the G. affine was higher than that of (+)-${\alpha}$-tocopherol ($8.89{\mu}g/mL$), which is known as a reference control. Reactive oxygen species (ROS) scavenging activities ($OSC_{50}$) of the 70% ethanol extract ($1.60{\mu}g/mL$), ethyl acetate fraction ($0.075{\mu}g/mL$) and aglycone fraction ($2.28{\mu}g/mL$) of extract of G. affine on ROS generated in $Fe^{3+}$-EDTA/$H_2O_2$ system using the luminol-dependent chemiluminescence assay were much higher than that of L-ascorbic acid ($6.88{\mu}g/mL$). The cellular protective effects of 70% ethanol extract (${\tau}_{50}$ = 52.0 min) and aglycone fraction of the extract (${\tau}_{50}$ = 60.6 min) on the $^1O_2$-induced cellular damage of human erythrocytes were exhibited the higher protective effect than (+)-${\alpha}$-tocopherol (${\tau}_{50}$ = 38.0 min), known as a lipophilic antioxidant. TLC and HPLC were used to analyse active components in the aglycone fraction of the extract. Results showed that luteolin and apigenin were main components. These results suggest that the G. affine extract can be applied to an effective antioxidant in scavenging ROS including radicals.