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THE SPACE-TIME FRACTIONAL DIFFUSION EQUATION WITH CAPUTO DERIVATIVES

  • HUANG F.;LIU F.
    • Journal of applied mathematics & informatics
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    • v.19 no.1_2
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    • pp.179-190
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    • 2005
  • We deal with the Cauchy problem for the space-time fractional diffusion equation, which is obtained from standard diffusion equation by replacing the second-order space derivative with a Caputo (or Riemann-Liouville) derivative of order ${\beta}{\in}$ (0, 2] and the first-order time derivative with Caputo derivative of order ${\beta}{\in}$ (0, 1]. The fundamental solution (Green function) for the Cauchy problem is investigated with respect to its scaling and similarity properties, starting from its Fourier-Laplace representation. We derive explicit expression of the Green function. The Green function also can be interpreted as a spatial probability density function evolving in time. We further explain the similarity property by discussing the scale-invariance of the space-time fractional diffusion equation.

Characteristics of Piezoceramics Sensors for Vibration Detection

  • Tan, A.C.C.;Dunbabin, M.
    • Journal of Advanced Marine Engineering and Technology
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    • v.28 no.2
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    • pp.285-291
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    • 2004
  • Early detection of an internal malfunction of machinery plays a very important part in all condition monitoring programs. Sensors to detect amplitude. velocity and acceleration are widely used in vibration detection and control. Piezoceramic materials are largely used in sensors and actuators for vibration monitoring and control due to their relatively large output from an induced strain and their arguable self powering characteristics. In this paper a cheap and yet reliable sensors/actuators were developed to detect vibration. The results show that low cost PZT can be designed for optimum detection of bearing vibration. This paper presents the experimental results of a number of piezoceramics characteristics in terms of resonant frequencies and variation of PZT constants with temperature.

Experimental Flow Visualisation of an Artificial Heart Pump

  • Tan, A.C.C.;Timms, D.L.;Pearcy, M.J.;McNeil, K.;Galbraith, A.
    • Journal of Advanced Marine Engineering and Technology
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    • v.28 no.2
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    • pp.210-216
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    • 2004
  • Flow visualization techniques were employed to qualitatively visualize the flow patterns through a 400% scaled up centrifugal blood pump. The apparatus comprised of a scaled up centrifugal pump. high speed video camera. Argon Ion Laser Light Sheet and custom coded particle tracking software. Reynolds similarity laws are applied in order to reduce the rotational speed of the pump. The outlet (cutwater) region was identified as a site of high turbulence and thus a likely source of haemolysis. The region underneath the impeller was identified as a region of lower flow.

Floridoside suppresses pro-inflammatory responses by blocking MAPK signaling in activated microglia

  • Kim, MinJeong;Li, Yong-Xin;Dewapriya, Pradeep;Ryu, BoMi;Kim, Se-Kwon
    • BMB Reports
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    • v.46 no.8
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    • pp.398-403
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    • 2013
  • Inflammatory conditions mediated by activated microglia lead to chronic neuro-degenerative diseases such as Alzheimer's, Parkinson's, and Huntington's diseases. This study was conducted to determine the effect of floridoside isolated from marine red algae Laurencia undulata on LPS (100 ng/ml) activated inflammatory responses in BV-2 microglia cells. The results show that floridoside has the ability to suppress pro-inflammatory responses in microglia by markedly inhibiting the production of nitric oxide (NO) and reactive oxygen species (ROS). Moreover, floridoside down-regulated the protein and gene expression levels of iNOS and COX-2 by significantly blocking the phosphorylation of p38 and ERK in BV-2 cells. Collectively, these results indicate that floridoside has the potential to be developed as an active agent for the treatment of neuro-inflammation.

THE FUNDAMENTAL SOLUTION OF THE SPACE-TIME FRACTIONAL ADVECTION-DISPERSION EQUATION

  • HUANG F.;LIU F.
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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    • pp.339-350
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    • 2005
  • A space-time fractional advection-dispersion equation (ADE) is a generalization of the classical ADE in which the first-order time derivative is replaced with Caputo derivative of order $\alpha{\in}(0,1]$, and the second-order space derivative is replaced with a Riesz-Feller derivative of order $\beta{\in}0,2]$. We derive the solution of its Cauchy problem in terms of the Green functions and the representations of the Green function by applying its Fourier-Laplace transforms. The Green function also can be interpreted as a spatial probability density function (pdf) evolving in time. We do the same on another kind of space-time fractional advection-dispersion equation whose space and time derivatives both replacing with Caputo derivatives.

Combustion Characteristics of Hypersonic SCRamjet Engine (극초음속 스크램제트 엔진의 연소특성)

  • Won, Su-Hee;Jeong, Eun-Ju;Jeung, In-Seuck;Choi, Jeong-Yeol
    • 한국연소학회:학술대회논문집
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    • 2003.12a
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    • pp.159-165
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    • 2003
  • This paper describes numerical efforts to characterize the flame-holding and air-fuel mixing process of model SCRamjet engine combustor, where a hydrogen jet injected into a supersonic cross flow and in a cavity. Combustion phenomena in a model SCRamjet engine, which has been experimentally studied at University of Queensland and Australian National University using a free-piston shock tunnel, was observed around separation region of upstream of the normal injector and inside of cavity. The results show that the separation region and cavity generates several recirculation zones, which increase the fuel-air mixing. Self ignition occurs in the separation-freestream and cavity-freestream interface.

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A Functionalised Macrobicycle Complex Available for Surface Immobilisation and Protein Grafting

  • Bernhardt, Paul V.;Harrowfield, Jack M.;Kim, Yang;Lee, Young-Hoon;Park, Yu-Cheol;Sujandi, Sujandi
    • Bulletin of the Korean Chemical Society
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    • v.28 no.4
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    • pp.589-595
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    • 2007
  • The conversion of both the racemic and resolved forms of the Co(III) complex of an hydroxymethyl-substituted tripodal hexamine to macrobicycles via reaction with formaldehyde and nitromethane (and subsequent reduction of the product) has been conducted. The prospect is that it will provide cage complexes in which the hydroxyl substituent is sufficiently remote from the metal ion centre for its nucelophilicity to be largely unaffected. X-ray structure determinations have been used to characterise these new cage species as well as some complexes of the precursor hexamine and its mono-aminal. The electrochemistry and optical activity of the complexes have also been studied in detail.

A Study on the Comparison and Actual Research of Curriculum for the Physical Therapy between Korea and Australia (한국과 호주의 물리치료 교과과정 비교 및 실태조사)

  • Jeong, Yeon-Gyu;Yu, Chang-Seon;Chai, Kyoung-Ju
    • Journal of Korean Physical Therapy Science
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    • v.18 no.4
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    • pp.1-10
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    • 2011
  • The purpose of study suggest that new strategies available for the physical therapy curriculum development are trying to elicit from world-renowned universities those to keep pace with the globalization. The curriculum of 3 universities in Australia was compared with those of a four-year course in Korea. The 3 university are Sydney, Melbourne and Queensland Universities in Australia. Overall, the curriculum in Korea not only showed overlapping subjects, a shortage of clinical time and foundation science but, didn't deal with many subject to satisfy international recommendation. We suggest that a new curriculum should be based on the three parts which are foundation, essential divided into 6 areas and selection subject, particularly extended clinical experience to essentially need to be physical therapy in the world-standard.

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A finite element yield line model for the analysis of reinforced concrete plates

  • Rasmussen, L.J.;Baker, G.
    • Structural Engineering and Mechanics
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    • v.6 no.4
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    • pp.395-409
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    • 1998
  • This paper concerns the development and implementation of an orthotropic, stress resultant elasto-plastic finite element model for the collapse load analysis of reinforced concrete plates. The model implements yield line plasticity theory for reinforced concrete. The behaviour of the yield functions are studied, and modifications introduced to ensure a robust finite element model of cases involving bending and twisting stress resultants ($M_x$, $M_y$, $M_{xy}$). Onset of plasticity is always governed by the general yield-line-model (YLM), but in some cases a switch to the stress resultant form of the von Mises function is used to ensure the proper evolution of plastic strains. Case studies are presented, involving isotropic and orthotropic plates, to assess the behaviour of the yield line approach. The YLM function is shown to perform extremely well, in predicting both the collapse loads and failure mechanisms.

A parametric investigation on the hysteretic behaviour of CFT column to steel beam connections

  • Esfandyary, R.;Razzaghi, M.S.;Eslami, A.
    • Structural Engineering and Mechanics
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    • v.55 no.1
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    • pp.205-228
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    • 2015
  • The results of a numerical investigation pertaining to the hysteretic behaviour of concrete filled steel tubular (CFT) column to I-beam connections are discussed in detail. Following the verification of the numerical results against the available experimental tests, the nonlinear finite element (FE) analysis was implemented to evaluate the effects of different parameters including the column axial load, beam lateral support, shape and arrangement of stiffeners, stiffness of T-stiffeners, and the number of shear stiffeners. Pursuing this objective, an external CFT column to beam connection, tested previously, was selected as the case-study. The lateral forces on the structure were simulated, albeit approximately, using an incremental cyclic loading reversal applied at the beam tip. The results were compared in terms of hysteretic load-displacement curves, stress distributions in connection, strength, rotation, and energy dissipation capacity. It was shown that external T-stiffeners combined with internal shear stiffeners play an important role in the hysteretic performance of CFT columns to I-beam connections.