• Title/Summary/Keyword: Eyring model

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Thermodynamic Properties and Self Diffusions from Rheological Parameters of Eyring-Halsey Model (Eyring-Halsey 모델의 유동파라메타로부터 열역학 성질과 자체 확산)

  • Kim, Nam Jeong
    • Journal of the Korean Chemical Society
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    • v.58 no.3
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    • pp.251-257
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    • 2014
  • The stress relaxation of poly(methyl acrylate)-poly(acrylonitrile) copolymer samples were carried out in air and distilled water at various temperatures using the tensile tester with the solvent chamber. The rheological parameters were obtained by applying the experimental stress relaxation curves to the theoretical equation of the Eyring-Halsey non-Newtonian model. The self diffusion, hole volume, viscosities, and thermodynamic parameters of copolymer samples were calculated from rheological parameters and crystallite size in order to study of flow segments in amorphous region. It was observed that the rheological parameters of these copolymer samples are directly related to the self diffusion, hole volume, viscosities, and thermodynamic parameters of flow segments.

Stress Relaxation of Poly(methyl acrylate)-Poly(acrylonitrile) Copolymers (Poly(methyl acrylate)-Poly(acrylonitrile) 공중합체의 응력완화)

  • Kim, Nam-Jeong
    • Elastomers and Composites
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    • v.47 no.3
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    • pp.223-230
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    • 2012
  • The rheological parameters of poly(methyl acrylate)-poly(acrylonitrile) copolymers were obtained by applying the experimental stress relaxation curves to the theoretical equation of the Eyring-Halsey non-Newtonian model. The experimentals of stress relaxation were carried out using the tensile tester with the solvent chamber. The determination of rheological parameters was performed from computer calculation. It was observed that the rheological parameters of these copolymer samples are directly related to the self diffusions and viscosities and activation energies of flow segments.

Experimental and Theory for Relaxation Spectrum of Polyacrylonitrile-Poly(vinyl chloride) Copolymers (Polyacrylonitrile-Poly(vinyl chloride) 공중합체 완화스펙트럼의 실험과 이론적인 고찰)

  • Kim, Nam-Jeong
    • Polymer(Korea)
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    • v.35 no.3
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    • pp.232-237
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    • 2011
  • The relaxation spectra of polyacrylonitrile-poly(vinyl chloride) copolymer filament fibers were obtained by applying the experimental stress relaxation curves to the theoretical equation of relaxation spectrum. The theoretical equation of relaxation spectrum was derived from the Ree-Eyring and Maxwell model. The experimental of stress relaxation was carried out using a tensile tester with a solvent chamber. The determination of relaxation spectra was performed by computer calculation. From the relaxation spectra, the fine structures, viscoelastic properties and hole volumes of solid polymers were studied. It was observed that the relaxation spectra of these samples were directly related to the distribution of molecular weights and self diffusions of flow segments.

Flow of MHD Powell-Eyring nanofluid: Heat absorption and Cattaneo-Christov heat flux model

  • Sharif, Humaira;Khadimallah, Mohamed A.;Naeem, Muhammad Nawaz;Hussain, Muzamal;Hussain, Sajjad;Tounsi, Abdelouahed
    • Advances in nano research
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    • v.10 no.3
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    • pp.221-234
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    • 2021
  • During the previous few years, phenomenon of bioconvection along with the use of nanoparticles showed large number of applications in technological and industrial field. This paper analyzed the bioconvection phenomenon in magnetohydrodynamic boundary layer flow of a Powell-Eyring nanoliquid past a stretchable cylinder with Cattaneo-Christov heat flux. In addition, the impacts of chemical reaction and heat generation/absorption parameter are considered. By the use of appropriate transformation, the governing PDEs (nonlinear) have been transformed and formulated into nonlinear ODEs. The resulting nonlinear ODEs subjected to relevant boundary conditions are solved analytically through homotopy analysis method which is programmed in Mathematica software. Graphical and numerical results versus physical quantities like velocity, temperature, concentration and motile microorganism are investigated under the impact of physical parameters. It is noted that velocity profile enhances as the curvature parameter A and Eyring-Powell fluid parameter M increases but a decline manner for large values of buoyancy ratio parameter Nr and bio-convection Rayleigh number Rb. In the presence of Prandtl number Pr, Eyring-Powell fluid parameter M and heat absorption parameter ��, temperature profile decreases. Nano particle concentration profile increases for increasing values of magnetic parameter Ha and thermophoresis parameter Nt. The motile density profile has revealed a decrement pattern for higher values of bio-convection Lewis number Lb and bio-convection peclet number Pe. This study may find uses in bio-nano coolant systems, advance nanomechanical bio-convection energy conversion equipment's, etc.

Conditional Confidence Interval for Parameters in Accelerated Life Testing

  • Park, Byung-Gu;Yoon, Sang-Chul
    • Journal of the Korean Data and Information Science Society
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    • v.7 no.1
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    • pp.21-35
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    • 1996
  • In this paper, estimation and prediction procedures are discussed for grneral situation in which the failure time follows the independent density $f_{i}({\varepsilon}_{i})$ for the accelerated life testing under Type II censoring. In the context of accelerated life test experiment, procedures are given for estimating the parameters in the Eyring model, and for estimating mean life at a given future stress level. The procedures given are conditional confidence interval procedures, obtained by conditioning on ancillary statistics. A comparison is made of these procedures and procedures based on asymptotic properties of the maximum, likelihood estimates.

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Development of Integrated Model for Accelerated Life Test Using Linkage Parameter (연계모수를 이용한 가속수명시험 통합모형의 개발)

  • Choi, Sung-Woon
    • Journal of the Korea Safety Management & Science
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    • v.9 no.5
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    • pp.43-48
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    • 2007
  • This paper is to present linkage parameter to integrate statistical models and physical models for accelerated life test. Statistical models represent the relationship of probability distribution and life. Physical models show the relationship of life and stress. Moreover, this study proposes the four steps for construction of integrated models for accelerated life test using linkage parameter. Finally, this paper develops new integrated models such as extreme value distribution-general Eyring, linearly increasing failure rate function-general Eyring, etc., and estimates various reliability measures.

Effect of Pre-shearing and Temperature on the Yield Stress of Stirred Yogurt

  • Yoon, Won Byong
    • Food Engineering Progress
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    • v.13 no.1
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    • pp.70-73
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    • 2009
  • The yield stress of stirred yogurt was measured by the vane viscometer at different pre-shearing conditions, such as pre-shear speed, pre-shear time, and wait time, and temperature (12-38${^{\circ}C}$). The yield stress ranged from ~17.6 to 10 Pa and from 34.2 to 11.9 Pa, depending on the pre-shearing conditions and temperature, respectively. The preshear speed and the wait time significantly affected the yield stress. The temperature dependence of the yield stress was described by the Eyring's kinetic model. The linear function of the temperature on the yield stress was limited at the 22${^{\circ}C}$, and at the above 22${^{\circ}C}$, the yield stress was maintained to be a constant (~12.5 Pa).

Reliability Estimation of Door Hinge for Rome Appliances (가전제품용 경첩의 신뢰성 추정)

  • Kim Jin Woo;Shin Jae Chul;Kim Myung Soo;Moon Ji Seob
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.5 s.236
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    • pp.689-697
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    • 2005
  • This paper presents the reliability estimation of door hinge for home appliances, which consists of bushing and shaft. The predominant failure mechanism of bushing made of polyoxymethylene(POM) is brittle fracture due to decrease of strength caused by voids existing, and that of shaft made of acrylonitrile-butadiene-styrene(ABS) is creep due to plastic deformation caused by excessive temperature and lowering of glass transition temperature by absorbed moisture. Since the brittle fracture of bushing is overstress failure mechanism, the load-strength interference model is used to estimate the failure rate of it along with failure analysis. By the way, the creep of shaft is wearout failure mechanism, and an accelerated life test is then planned and implemented to estimate its lifetime. Through the technical review about failure mechanism, temperature and humidity are selected as accelerating variables. Assuming Weibull lifetime distribution and Eyring model, the life-stress relationship and acceleration factor, $B_{10}$ life and its lower bound with $90\%$ confidence at worst case use condition are estimated by analyzing the accelerated life test data.

Reliability Estimation of Door Hinge for Home Appliances (가전제품용 경첩의 신뢰성 추정)

  • 문지섭;김진우;이재국;이희진;신재철;김명수
    • Proceedings of the Korean Reliability Society Conference
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    • 2004.07a
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    • pp.303-311
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    • 2004
  • This paper presents the reliability estimation of door hinge for home appliances, which consists of bushing and shaft. The predominant failure mechanism of bushing made of polyoxymethylene(POM) is brittle fracture due to decrease of strength caused by voids existing, and that of shaft made of acrylonitrile-butadiene-styrene(ABS) is creep due to plastic deformation caused by excessive temperature and lowering of glass transition temperature by absorbed moisture. Since the brittle fracture of bushing is overstress failure mechanism, the load-strength interference model is used to estimate the failure rate of it along with failure analysis. By the way, the creep of shaft is wearout failure mechanism, and an accelerated life test is then planned and implemented to estimate its lifetime. Through the technical review about failure mechanism, temperature and humidity are selected as accelerating variables. Assuming Weibull lifetime distribution and Eyring model, the life-stress relationship and acceleration factor, B$_{10}$ life and its lower bound with 90% confidence at worst case use condition are estimated by analyzing the accelerated life test data.a.

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Reliability Analysis of MLCC Degradation Data based on Eyring Model (아이링 모델에 기초한 MLCC 열화데이터의 신뢰성 해석)

  • 김종철;김광섭;차종범
    • Proceedings of the Korean Reliability Society Conference
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    • 2004.07a
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    • pp.239-246
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    • 2004
  • Accelerated degradation test (ADT) can be a useful tool for assessing the reliability when few or even no failure are expected in an accelerated life test. In this paper, MLCC (Multilayer Ceramic Capacitors), a sort of passive components which have large capacitance(X7R -55$^{\circ}C$~1$25^{\circ}C$) have been tested, and least-square analyses are used to illustrate our approach in which amount of degradation of a DUT following log-normal distribution. We assumed a simple and useful linear model to describe the amount of degradation over time subjected to different voltage levels applied. Tests for linearity of the performance-time relationship, and provide tests for how well the assumptions hold. Also, by using Eyring Model, MLCC's mean life time is assessed.

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