• 제목/요약/키워드: Modified Rayleigh equation

검색결과 6건 처리시간 0.082초

Ionic Conductivity in Lithium-Borate-Tantalate Compound Glasses

  • Kwon, Oh Hyeok;Yang, Yong Suk;Rim, Young Hoon
    • Journal of the Korean Physical Society
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    • 제73권12호
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    • pp.1873-1878
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    • 2018
  • We have investigated the ionic conductivity and dielectric relaxation in $Li_2B_4O_7$ (LBO) and $Li_2O-B_2O_3-Ta_2O_5$ (LBTO) glasses. The sample was synthesized by using the melt quenching method. The frequency dependence of the electrical data from the LBO and LBTO glasses has been analyzed in the frameworks of the impedance Cole-Cole formalism and the universal power-law representation driven by the modified fractional Rayleigh equation. The potential barriers in the LBO and the LBTO glasses turn out to be the same. Comparing with the dc and ac activation energies of the LBO glass, these energies of the LBTO glass decrease due to the increasing Coulomb interaction of inter-cationic interaction.

수직$\cdot$수평 관통류를 갖는 수평 다공층에서 자연대류 연구 (The Natural Convection in Horizontal Porous Layer with Vertical or Horizontal Throughflow)

  • 서석진;박찬국
    • 한국전산유체공학회지
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    • 제3권1호
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    • pp.73-81
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    • 1998
  • The effect of vertical or horizontal throughflow on natural convection in horizontal porous layer was investigated. The computations were performed by employing Darcy-Brinkman-Forchheimer equation to consider the effect of inertia and viscous effect. The patterns of streamlines and isotherms are observed by changing the strength of throughflow. The vertical throughflow stabilizes the natural convection in porous layer. It also disturbs the developing vertical and horizontal velocity component of natural convection cell and increases the critical modified Rayleigh number. The horizontal throughflow influences the stabilization of natural convection in porous layer much more than the vertical throughflow. And it changes a stable convection into a oscillatory convection.

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A new cavitation model considering inter-bubble action

  • Shi, Yazhen;Luo, Kai;Chen, Xiaopeng;Li, Daijin;Jia, Laibing
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제13권1호
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    • pp.566-574
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    • 2021
  • The process of cavitation involves generation, growth, coalescence, and collapse of small bubbles and is tremendously influenced by bubble-bubble interactions. To understand these interactions, a new cavitation model based on the transport equation is proposed herein. The modified Rayleigh-Plesset equation is analyzed to determine the bubble growth rate by assuming equal-sized spherical bubble clouds. The source term in the transport equation is then derived according to the bubble growth rate with the bubble-bubble interaction. The proposed model is validated by various test simulations, including microscopic bubble cloud evolution as well as macroscopical two- and three-dimensional cavitating flows. Compared with previous models, namely the Kunz and Zwart cavitation models, the newly proposed model does not require adjustable parameters and generally results in better predictions both microscopic and macroscopical cases. This model is more physical.

광결상계의 초분해능 (Superresolution of Optical Imaging System)

  • 조영민;김종태;이상수
    • 한국광학회지
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    • 제5권3호
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    • pp.349-355
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    • 1994
  • Rayleigh의 분해능 한계 $\epsilon_R$보다 작은 선폭 $\epsilon_0$을 분해할 수 있는 광결상계사 이론적으로 취급되었고, 이어서 초분해능을 지니는 광학계가 제시되었다. 먼저 초분해능을 역변환 문제로 취급하여 초분해능 회절상의 진폭 임펄스 함수를 주는 적분방정식을 도입하고 매개변수 $\beta$(양정수)에 따라서 진폭 임펄스 함수의 반치폭이 조사되었다. 이 초분해능 광학계의 구경함수의 진폭 분포가 변조되었고 또 구경에서 나가는 Huygens 파동의 위상도 Holography로 변조되었다. 이들의 변조를 위하여 이용된 광변조 소자가 제시되었다. 초미세 광리소그라피에 유용한 결론을 얻었다.

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원자로 사고 또는 과도상태시 공기방출현상에 대한 연구 (Study of Air Clearing during Severe Transient of Nuclear Reactor Coolant System)

  • 배윤영;김환열;송철화;김희동
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2002년도 학술대회지
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    • pp.835-838
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    • 2002
  • An experiment has been performed using a facility, which simulates the safety depressurization system (SDS) and in-containment refueling water storage tank (IRWST) of APR1400, an advanced PWR being developed in Korea, to investigate the dynamic load resulting from the blowdown of steam from a steam generator through a sparser. The influence of the key parameters, such as air mass, steam pressure, submergence, valve opening time, and pool temperature, on frequency and peak toads was investigated. The blowdown phenomenon was analyzed to find out the real cause of the initiation of bubble oscillation and discrepancy in frequencies between the experiment and calculation by conventional equation for bubble oscillation. The cause of significant damping was discussed and is presumed to be the highly tortuous flow path around bubble. The Rayleigh-Plesset equation, which is modified by introducing method of image, reasonably reproduces the bubble oscillation in a confined tank. Right after the completion of air discharge the steam discharge immediately follows and it condenses abruptly to provide low-pressure pocket. It may contribute to the negative maximum being greater than positive maximum. The subsequently discharging steam does not play as at the driving force anymore.

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Geometrically nonlinear dynamic analysis of FG graphene platelets-reinforced nanocomposite cylinder: MLPG method based on a modified nonlinear micromechanical model

  • Rad, Mohammad Hossein Ghadiri;Shahabian, Farzad;Hosseini, Seyed Mahmoud
    • Steel and Composite Structures
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    • 제35권1호
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    • pp.77-92
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    • 2020
  • The present paper outlined a procedure for geometrically nonlinear dynamic analysis of functionally graded graphene platelets-reinforced (GPLR-FG) nanocomposite cylinder subjected to mechanical shock loading. The governing equation of motion for large deformation problems is derived using meshless local Petrov-Galerkin (MLPG) method based on total lagrangian approach. In the MLPG method, the radial point interpolation technique is employed to construct the shape functions. A micromechanical model based on the Halpin-Tsai model and rule of mixture is used for formulation the nonlinear functionally graded distribution of GPLs in polymer matrix of composites. Energy dissipation in analyses of the structure responding to dynamic loads is considered using the Rayleigh damping. The Newmark-Newton/Raphson method which is an incremental-iterative approach is implemented to solve the nonlinear dynamic equations. The results of the proposed method for homogenous material are compared with the finite element ones. A very good agreement is achieved between the MLPG and FEM with very fine meshing. In addition, the results have demonstrated that the MLPG method is more effective method compared with the FEM for very large deformation problems due to avoiding mesh distortion issues. Finally, the effect of GPLs distribution on strength, stiffness and dynamic characteristics of the cylinder are discussed in details. The obtained results show that the distribution of GPLs changed the mechanical properties, so a classification of different types and volume fraction exponent is established. Indeed by comparing the obtained results, the best compromise of nanocomposite cylinder is determined in terms of mechanical and dynamic properties for different load patterns. All these applications have shown that the present MLPG method is very effective for geometrically nonlinear analyses of GPLR-FG nanocomposite cylinder because of vanishing mesh distortion issue in large deformation problems. In addition, since in proposed method the distributed nodes are used for discretization the problem domain (rather than the meshing), modeling the functionally graded media yields to more accurate results.