• 제목/요약/키워드: granular dynamics

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Scalar form of dynamic equations for a cluster of bodies

  • Vinogradov, Oleg
    • Structural Engineering and Mechanics
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    • 제5권2호
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    • pp.209-220
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    • 1997
  • The dynamic equations for an arbitrary cluster comprising rigid spheres or assemblies of spheres (subclusters) encountered in granular-type systems are considered. The system is treated within the framework of multibody dynamics. It is shown that for an arbitrary cluster topology the governing equations can be given in an explicit scalar from. The derivation is based on the D'Alembert principle, on inertial coordinate system for each body and direct utilization of the path matrix describing the topology. The scalar form of the equations is important in computer simulations of flow of granular-type materials. An illustrative example of a three-body system is given.

Flow models of fluidized granular masses with different basal resistance terms

  • Wu, Hengbin;Jiang, Yuanjun;Zhang, Xuefu
    • Geomechanics and Engineering
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    • 제8권6호
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    • pp.811-828
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    • 2015
  • Proper modelling of the basal resistance terms is key in simulating the motion of fluidized granular flow. In this paper, standard depth-averaged governing equations of granular flow are used together with the classical Coulomb, Voellmy, and velocity dependent friction models (VDFM). A high-resolution modified TVDLF method is implemented to solve the partial differential equations without numerical oscillations. The effects of basal resistance terms on the motion of granular flows such as geometric shape evolution, travel times and final deposits are analyzed. Based on the numerical results, the predictions of the front and rear end positions and developing length of granular flow with Coulomb friction model show excellent agreements with experiment results reported by Hutter et al. (1995), and illustrate the validity of the numerical approach. For the Voellmy model, the higher value of turbulent coefficient than reality may obtain more reasonable predicted runout for the small-scale avalanche or granular flow. The energy exchange laws indicate that VDFM is different from the Coulomb and Voellmy models, although the flow characteristics of both three models fit the measurements and observations very well.

DYNAMICS OF SHEARED GRANULAR FLUID

  • Alam, Meheboob
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년도 12th Asian Congress of Fluid Mechanics
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    • pp.46.2-46.2
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    • 2008
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실험실 규모 입상 혐기성 암모늄 산화 연속회분식 반응조 내의 신종 사상균 동시 농화 배양에 관한 연구 (Simultaneous Enrichment of Novel Filamentous-Like Bacterial Population in Lab-Scale Granular Anaerobic Ammonia Oxidation (Anammox) Sequencing Batch Reactor)

  • 박홍근
    • 한국물환경학회지
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    • 제29권3호
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    • pp.377-382
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    • 2013
  • Enriching anammox bacteria (AMX) in a lab-scale granular sequencing batch reactor using local digester centrate, we observed the significant enrichment of the filamentous-like bacterial population. These bacteria were revealed as novel bacterial species (termed CHL) belonging to Chlorobi/Bacteroidetes phyla via Denaturing Gradient Gel Electrophoresis (DGGE). Further, niche differentiation of AMX and CHL quantification was observed in granule and filament biomass, suggesting AMX was dominant in the granule and CHL was dominant in the filament. Therefore, it was confirmed the structural role of CHL was indeed to aid the granule formation of the AMX. In parallel, the physiological role of CHL was suspected to degrade biopolymers in the digester centrate using nitrate as an electron acceptor.

MULTISCALE MODELLING FOR THE FISSION GAS BEHAVIOUR IN THE TRANSURANUS CODE

  • Van Uffelen, P.;Pastore, G.;Di Marcello, V.;Luzzi, L.
    • Nuclear Engineering and Technology
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    • 제43권6호
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    • pp.477-488
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    • 2011
  • A formulation is proposed for modelling the process of intra-granular diffusion of fission gas during irradiation of $UO_2$ under both normal operating conditions and power transients. The concept represents a simple extension of the formulation of Speight, including an estimation of the contribution of bubble motion to fission gas diffusion. The resulting equation is formally identical to the diffusion equation adopted in most models that are based on the formulation of Speight, therefore retaining the advantages in terms of simplicity of the mathematical-numerical treatment and allowing application in integral fuel performance codes. The development of the new model proposed here relies on results obtained by means of molecular dynamics simulations as well as finite element computations. The formulation is proposed for incorporation in the TRANSURANUS fuel performance code.

활성탄 물성에 따른 인 흡착의 동력학적 연구 (A Kinetic Study on the Phosphorus Adsorption by Physical Properties of Activated Carbon)

  • 서정범;강준원
    • 한국물환경학회지
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    • 제26권3호
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    • pp.491-496
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    • 2010
  • This study aimed to obtain equilibrium concentration on adsorption removal of phosphorus by activated carbon, to express the adsorption characteristics following Freundlich isotherm and also, based on the value obtained, to investigate the relationship between physical properties of activated carbon and dynamics of phosphorus removal by obtaining rate constant and effective pore diffusivity. The results summarized from this study are as follows. Phosphorus adsorption equilibrium reaching time of powdered activated carbon was reduced as the dosage of activated carbon increases, while granular activated carbon despite increased dosage did not have influence on adsorption equilibrium reaching times of phosphorus as well, taking more than 10 hours. It was also noted that powdered activated carbon showed better adsorption ability than granular activated carbon. The value of constant (f) of Freundlich isotherm of powered activated carbon on phosphorus was 4.26 which is bigger than those of granular activated carbon. The adsorption rate constant on phosphorus of powered activated carbon with low effective diameter and iodine number was highest as $8.888hr^{-1}$ and the effective pore diffusivity ($D_e$) was lowest as $2.45{\times}10^{-5}cm^2/hr$, and the value of phosphorus adsorption rate constant of granular activated carbon was $0.174{\sim}0.372hr^{-1}$, It was revealed that, with the same amount of dosage, the adsorptive power of activated carbon with lower effective diameter was better and its rate constant was also high.

활성탄 물성에 따른 암모니아성 질소 흡착의 동력학적 연구 (A Kinetic Study on the Ammonia Nitrogen Adsorption by Physical Characteristics of Activated Carbon)

  • 서정범;강준원;이익수
    • 한국물환경학회지
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    • 제24권3호
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    • pp.311-316
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    • 2008
  • This study aimed to obtain equilibrium concentration on adsorption removal of ammonia nitrogen by activated carbon, to express the adsorption characteristics following Freundlich isotherm and also, based on the value obtained, to investigate the relationship between physical characteristics of activated carbon and dynamics of ammonia nitrogen removal by obtaining rate constant and effective pore diffusivity. The results summarized from this study are as follows. It was noted that powdered activated carbon showed better adsorption ability than granular activated carbon. The value of constant (f) of Freundlich isotherm of powered activated carbon was $4.6{\times}10^{-8}$ which is bigger than that of granular activated carbon. The adsorption rate constant on ammonia nitrogen of powered activated carbon with high porosity and low effective diameter was highest as 0.416 hr-1 and the effective pore diffusivity ($D_e$) was lowest as $1.17{\times}10^{-6}cm^2/hr$, and the value of ammonia nitrogen adsorption rate constant of granular activated carbon was $0.149{\sim}0.195hr^{-1}$. It was revealed that, with the same amount of dosage, the adsorptive power of activated carbon with lower effective diameter and bigger porosity was better and its rate constant was also high. With a little adsorbent dosage of 2 g, there was no difference removal ability of ammonia nitrogen as change of adsorption properties.

포화된 사질토의 동적 수치해석 기법 (Variational Method for the Numerical Analysis of Saturated Granular Soils under Dynamic Loads)

  • 송치용;;천병식;김경민
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2004년도 춘계학술발표회
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    • pp.746-756
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    • 2004
  • 포화토의 거동은 흙과 유체사이의 상호작용에 의해 지배된다. 특히, 동화중 작용시 포화된 사질토에서는 이러한 상호작용에 의해 급격한 액상화 현상이 유발되며 이는 동역학직, 유체역학직으로 복합적인 거동을 나타네어 복합하므로 오직 수치해석적인 방법을 이용한 거동해석만이 가능하다. 본 연구는 사질토에서의 동적 거동해석을 위한 수치해석기법 개발에 그 목적을 두었다. 본 수치해석기법은 Hiremath (1987, 1996)의 "Dynamics for Saturated Soils" 이론에 Sandhu (1975a, 1975b, 1976)의 Variational 기법을 적용하여 개발되었으며 간극수압과 관련된 다양한 토질역학적 문제들에 적용될 수 있을 것으로 기대된다.

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알갱이 군의 무더기 현상에 관한 연구 (A Study on Heaping of Granules)

  • 한지흠;한원흠;이광희
    • 접착 및 계면
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    • 제14권4호
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    • pp.183-191
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    • 2013
  • 알갱이 군에 형성되는 무더기 현상을 이해하기 위하여, 좁쌀, 모래, 은박 원판 등의 알갱이 군에 대하여 수직진동 및 회전진동을 적용하여 이들의 움직임을 조사하였다. 수직진동의 경우, Gerner의 연구처럼 무더기가 형성되었으나, 알갱이 무게와 관계없이 좁쌀, 모래, 은박원판의 무더기가 순으로 형성되었고, 은박원판의 무더기는 좁쌀과 모래에 비해 훨씬 복잡하게 나타났다. 또 회전진동의 경우, 알갱이는 용기 벽과 중력 및 알갱이 끼리 탄성 밀리기에 의해 중앙부위가 위로 솟아오르는 현상이 나타났으며, 회전진동 진폭이 큰 경우엔 나선형 문양이 나타나기도 했다. 이는 알갱이 군에 원심력, 알갱이 간 인력 및 세차운동 등이 가해지면, 무더기 현상이 지연되거나 더 난잡해짐을 의미한다. 이러한 사실로부터 화공재료 등의 알갱이의 무더기 현상은 용기의 진동 특성뿐 아니라 알갱이 간 인력의 유무에 따라서도 결정됨을 알 수 있다.