• Title/Summary/Keyword: kinetic equation

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Chaotic Rocking Vibration of a Rigid Block with Sliding Motion Under Two-Dimensional Harmonic Excitation

  • Jeong, Man-Yong;Kim, Jeong-Ho;Yang, In-Young
    • Journal of Mechanical Science and Technology
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    • v.16 no.9
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    • pp.1040-1053
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    • 2002
  • This research deals with the influence of nonlinearities associated with impact and sliding upon the rocking behavior of a rigid block, which is subjected to two-dimensional horizontal and vertical excitation. Nonlinearities in the vibration were found to depend strongly on the effect of the impact between the block and the base, which involves an abrupt reduction in the system's kinetic energy. In particular, when sliding occurs, the rocking behavior is substantially changed. Response analysis using a non-dimensional rocking equation was carried out for a variety of excitation levels and excitation frequencies. The chaos responses were observed over a wide response region, particularly, in the cases of high vertical displacement and violent sliding motion, and the chaos characteristics appear in the time histories, Poincare maps, power spectra and Lyapunov exponents of the rocking responses. The complex behavior of chaotic response, in phase space, is illustrated by the Poincare map. The distribution of the rocking response is described by bifurcation diagrams and the effects of sliding motion are examined through the several rocking response examples.

Equilibrium and kinetic studies on the adsorption of copper onto carica papaya leaf powder

  • Varma V., Geetha;Misra, Anil Kumar
    • Membrane and Water Treatment
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    • v.7 no.5
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    • pp.403-416
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    • 2016
  • The possibility of using carica papaya leaf powder for removal of copper from wastewater as a low cost adsorbent was explored. Different parameters that affect the adsorption process like initial concentration of metal ion, time of contact, adsorbent quantity and pH were evaluated and the outcome of the study was tested using adsorption isotherm models. A maximum of 90%-94.1% copper removal was possible from wastewater having low concentration of the metal using papaya leaf powder under optimum conditions by conducting experimental studies. The biosorption of copper ion was influenced by pH and outcome of experimental results indicate the optimum pH as 7.0 for maximum copper removal. Copper distribution between the solid and liquid phases in batch studies was described by isotherms like Langmuir adsorption and Freundlich models. The adsorption process was better represented by the Freundlich isotherm model. The maximum adsorption capacity of copper was measured to be 24.51 mg/g through the Langmuir model. Pseudo-second order rate equation was better suited for the adsorption process. A dynamic mode study was also conducted to analyse the ability of papaya leaf powder to remove copper (II) ions from aqueous solution and the breakthrough curve was described by an S profile. Present study revealed that papaya leaf powder can be used for the removal of copper from the wastewater and low cost water treatment techniques can be developed using this adsorbent.

Kinetics and Equilibrium Isotherm Studies for the Aqueous Lithium Recovery by Various Type Ion Exchange Resins

  • Won, Yong Sun;You, Hae-na;Lee, Min-Gyu
    • Korean Journal of Materials Research
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    • v.26 no.9
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    • pp.498-503
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    • 2016
  • The characteristics of aqueous lithium recovery by ion exchange were studied using three commercial cation exchange resins: CMP28 (porous type strong acid exchange resin), SCR-B (gel type strong acid exchange resin) and WK60L (porous type weak acid exchange resin). CMP28 was the most effective material for aqueous lithium recovery; its performance was even enhanced by modifying the cation with $K^+$. A comparison to $Na^+$ and $H^+$ form resins demonstrated that the performance enhancement is reciprocally related to the electronegativity of the cation form. Further kinetic and equilibrium isotherm studies with the $K^+$ form CMP28 showed that aqueous lithium recovery by ion exchange was well fitted with the pseudo-second-order rate equation and the Langmuir isotherm. The maximum ion exchange capacity of aqueous lithium recovery was found to be 14.28 mg/g and the optimal pH was in the region of 4-10.

Study of the Secondary Flow Effect on the Turbulent Flow Characteristics in Fuel Rod Bundles (핵연료봉 주위의 난류 유동장 특성에 미치는 이차 유동의 영향에 대한 연구)

  • Lee, Kye-Bock;Jang, Ho-Cheol;Lee, Sang-Keun
    • Nuclear Engineering and Technology
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    • v.26 no.3
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    • pp.345-354
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    • 1994
  • Numerical Predictions including secondary flows have been Performed for fully developed turbulent single-phase rod bundle flows. The k-$\varepsilon$ turbulence model(two equation model) for the isotropic eddy viscosity, together with an algebraic stress model for generating secondary velocities, enabled the prediction of mean axial velocities, secondary velocities, and turbulent kinetic energy and turbulent stresses. Comparisons with experiment hate shown that the influence of secondary motion on mean flow and turbulence is dearly evident. The convective transport effects of secondary flow on the velocity field have been identified.

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Rate and Mechanism for Substitution of Chloropentaamminecobalt(III) in Aqueous $Hg^{2+}$ Solution ($Hg^{2+}$이온 水溶液 內에서의 Chloropentaamminecobalt(III)의 置換反應速度와 메카니즘 (제 1 보))

  • Byung-Kak Park;Jae-Weon Lee;Joo-Sang Lim
    • Journal of the Korean Chemical Society
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    • v.30 no.3
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    • pp.282-288
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    • 1986
  • Kinetic studies were carried out for the substitution of $H-2$O for $Cl^-$ ligand of chloropentaamminecobalt(III) in the presence of $Hg^{2+}$ catalyst by UV spectrophotometer. It has been found that $Hg^{2+}$ ion appears first order dependence and the overall reaction is second order. The reaction system can be believed to occur via $S_N2$ reaction, because the calculated rate equation for our presumed $S_N2$ mechanism is in agreement with the observed one.

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Estimation of Erosion Index Based on Impact Signal Analysis (충격 신호 분석에 기반한 침식 지수 개발)

  • Tenorio, Ricardo S.;Kwon, Byung Hyuk;Moraes, Macia C. da S.;Yoon, Hong-Joo
    • The Journal of the Korea institute of electronic communication sciences
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    • v.15 no.3
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    • pp.543-552
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    • 2020
  • This study is aimed at determining an algorithm capable of estimating the erosion index of rainfall for the region of Maceió-Alagoas in the northeast of Brazil. The sample of the truncated data from 2003 to 2006 counts 26,889 droplet size distributions integrated per minute, with 680 rain events with duration longer than 10 minutes. The equation proposed to estimate erosion index used as a dependent variable and independent variable, presenting a coefficient of determination of 99%. The statistical significance validated the relation between minimum rainfall intensity and erosion.

Molecular Weight Distribution of Liquid Phase AN and Solid Phase Polymer in Precipitation Polymerization of AN By Changing Solution Composition and Temperature

  • Liu, Weiwei;Zhang, Shuangkun;Wang, Jing;Ryu, Seung Kon;Jin, Ri-Guang
    • Carbon letters
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    • v.13 no.3
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    • pp.133-138
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    • 2012
  • According to kinetic mechanisms, liquid phase polymerization and solid phase polymerization are different in acrylonitrile (AN) polymerization, and so the relationship between the contribution ratio and molecular weight distribution (MWD) was obtained through theoretic analysis. The precipitation homopolymerization of AN was carried out in a mixture solution of dimethyl sulfoxide (DMSO) and water at $50{\sim}65^{\circ}C$ using ${\alpha}$,${\alpha}^{\prime}$-azobisisobutyronitrile as an initiator. The contribution ratio decreased and approached 0; the MWD also decreased and approached 2 with the increase of the $H_2O$/DMSO ratio from 10/90 to 90/10. The experimental data were found to coincide well with the theoretical equation derived from the mechanisms.

Mechanical and optical properties of alumina/zirconia-glass dental crown composites (인공치관용 알루미나/지르코니아-유리 복합체의 기계적 및 광학적 특성)

  • 이득용;장주웅
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.13 no.3
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    • pp.99-104
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    • 2003
  • Alumina/zirconia-glass composites prepared by melt-infiltration were investigated to evaluate the influence of zirconia addition on mechanical and optical properties of the composites and glass penetration kinetics. The infiltration distance was parabolic with respect to time as described by the Washburn equation and the penetration rate constant, K, decreased due to the reduction In pore size as the amount of zirconia rose. The zirconia addition increased lightness ($L^*$) but reduced K, transmittance and color sharpness ($C^*$) It can be concluded that the zirconia addition was not effective to the mechanical properties of the composites due to the increase in porosity even though the toughness of the composites increased when zirconia was added up to 15 wt%.

Numerical Study on Characteristics of Turbulence Scheme in Planetary Boundary Layer (난류 모수화 방법에 따른 대기경계층 수치모의 특성에 관한 연구)

  • Jeon, Won-Bae;Lee, Hwa-Woon;Lee, Soon-Hwan
    • Journal of Environmental Science International
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    • v.19 no.2
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    • pp.137-148
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    • 2010
  • This paper investigates the characteristics of turbulence schemes. Turbulence closures are fundamental for modeling the atmospheric diffusion, transport and dispersion in the boundary layer. In particular, in non-homogeneous conditions, a proper description of turbulent transport in planetary boundary layer is fundamental aspect. This study is based on the Regional Atmospheric Modeling System (RAMS) and combines four different turbulence schemes to assess if the different schemes have a impact on simulation results of vertical profiles. Two of these schemes are Isotropc Deformation scheme (I.Def) and Anisotropic deformation scheme (A.Def) that are simple local scheme based on Smagorinsky scheme. The other two are Mellor-Yamada scheme (MY2.5) and Deardorff TKE scheme (D.TKE) that are more complex non-local schemes that include a prognostic equation for turbulence kinetic energy. The simulated potential temperature, wind speed and mixing ratio are compared against radiosonde observations from the study region. MY2.5 shows consistently reasonable vertical profile and closet to observation. D.TKE shows good results under relatively strong synoptic condition especially, mixing ratio simulation. Validation results show that all schemes consistently underestimated wind speed and mixing ratio but, potential temperature was somewhat overestimated.

Numerical Study on Viscous Wakes of Two-Dimensional Screens Normal to the Uniform Stream (균일유동에 수직인 2차원 스크린 후류의 점성유동에 관한 수치적 연구)

  • 강신형;전우평
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.3
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    • pp.590-598
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    • 1988
  • Viscous flows through a screen normal to an uniform flow are numerically simulated. A .kappa.-.epsilon. model is adopted for evaluation of the Reynolds stresses. The existence of a screen is regarded as extra sources in the momentum equations. The amount of extra sources is related to the resistance coefficient and the refraction coefficient of the screen. Flows are numerically simulated for various resistance coefficients and heights of the screen and Reynolds numbers. The present method has been verified to reasonably simulate viscous wakes and shear layers of the screen, for which the inviscid theory is quite limitted. As the fluids approach the screen, the velocity is reduced and the pressure is raised to satisfy the Bernoulli equation. After passing the screen, the velocity shows its minimum value at the down-stream, but static pressure is slowly recovered. A detached separation-bubble from the screen appears as the resistance coefficient is increased to a certain level. Such results are qualitatively in agreement with limitted experimental data available. The turbulent kinetic energy shows its maximum value at further down stream and decrease thereafter.