• Title/Summary/Keyword: Continuity Equation

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A Nonlinear Analytic Function Expansion Nodal Method for Transient Calculations

  • Joo, Han-Gyu;Park, Sang-Yoon;Cho, Byung-Oh;Zee, Sung-Quun
    • Proceedings of the Korean Nuclear Society Conference
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    • 1998.05a
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    • pp.79-86
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    • 1998
  • The nonlinear analytic function expansion nodal (AFEN) method is applied to the solution of the time-dependent neutron diffusion equation. Since the AFEN method requires both the particular solution and the homogeneous solution to the transient fixed source problem, the derivation solution method is focused on finding the particular solution efficiently. To avoid complicated particular solutions, the source distribution is approximated by quadratic polynomials and the transient source is constructed such that the error due to the quadratic approximation is minimized. In addition, this paper presents a new two-node solution scheme that is derived by imposing the constraint of current continuity at the interface corner points. The method is verified through a series of applications to the NEACRP PWR rod ejection benchmark problem.

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Vibration Analysis of the Continuous Circular Cylindrical Shell with the Clamped-clamped Supports at Two End Edges (양단이 고정지지된 연속원통셸의 진동특성 해석)

  • 한창환;이영신
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.12 no.2
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    • pp.97-107
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    • 2002
  • The continuous circular cylindrical shells are widely used for the high performance structures of aircraft, spacecraft, missile, nuclear fuel rod shell and so on. In this paper, a method for the vibrational analysis of the continuous circular cylindrical shells with the clamped-clamped supports at two end edges is developed by using the modal expansion method. Forces and/or moments acting on the shell surface are expressed in terms of the Dirac Delta Function. Frequency equation of the continuous shell is also derided by the application of the equilibrium of forces and the continuity of displacements at the boundary. Natural frequencies of the continuous shell are calculated numerically with mathematica 3.0 and they are compared with FEM results from the ANSYS 5.3 to improve the reliability of analytic solutions. Mode shares obtained by the FEM are Presented in this paper.

Internal Ballistic Analysis of Solid Rocket Motors with Erosive Burning (침식연소를 고려한 고체로켓 추진기관 내탄도 해석기법 연구)

  • Cho, Min-Gyung;Kwon, Tae-Hoon
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2010.11a
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    • pp.213-216
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    • 2010
  • A typical unsteady internal ballistic analysis model was proposed to take account of the erosive burning for a solid rocket motor. The variance of local velocity and pressure along grain surface are analyzed by using the continuity and momentum equation. The model introduced in this study showed good agreements with the results of previous internal ballistics program. It was investigated that the change of combustion pressure, gas velocity and regrestion rate along the grain axis.

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Formulation Method for Solid-to-Beam Transition Finite Elements

  • Im, Jang-Gwon;Song, Dae-Han;Song, Byeong-Ho
    • Journal of Mechanical Science and Technology
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    • v.15 no.11
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    • pp.1499-1506
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    • 2001
  • Various transition elements are used in general for the effective finite element analysis of complicated mechanical structures. In this paper, a solid-to-beam transition finite element, which can b e used for connecting a C1-continuity beam element to a continuum solid element, is proposed. The shape functions of the transition finite element are derived to meet the compatibility condition, and a transition element equation is formulated by the conventional finite element procedure. In order to show the effectiveness and convergence characteristics of the proposed transition element, numerical tests are performed for various examples. As a result of this study, following conclusions are obtained. (1) The proposed transition element, which meets the compatibility of the primary variables, exhibits excellent accuracy. (2) In case of using the proposed transition element, the number of nodes in the finite element model may be considerably reduced and the model construction becomes more convenient. (3) This formulation method can be applied to the usage of higher order elements.

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Thermal decomposition and ablation analysis of solid rocket propulsion (삭마 및 열분해 반응을 고려한 고체 추진기관의 열해석)

  • Kim, Yun-Chul
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2010.05a
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    • pp.113-122
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    • 2010
  • A two-dimensional thermal response and ablation analysis code for predicting charring material ablation and shape change on solid rocket nozzle is presented. For closing the problem of thermal analysis, Arrhenius' equation and Zvyagin's ablation model are used. The moving boundary problem are solved by remeshing-rezoning method. For simulation of complicated thermal protection systems, this method is integrated with a three-dimensional finite-element thermal and structure analysis code through continuity of temperature and heat flux.

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The Antecedents of the Trust and Customer response for Healthcare Service (의료서비스 신뢰의 선행요인과 신뢰가 고객반응에 미치는 영향에 관한 연구)

  • Shin, Hyun-Hee
    • Korea Journal of Hospital Management
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    • v.16 no.1
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    • pp.27-49
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    • 2011
  • This study tried to examine the antecedents of antecedents of trust and customer response at the healthcare service. A total of 230 patient' data were used with a structural equation analysis. They were verified by covariance modeling, using SPSS 18.0 and AMOS 5.0program. Trust is significantly affected by the three factors. Doctors' professionalism and effort of relationship continuity have a positive impact on trust simultaneously. Also, brand reputation have a positive impact on trust simultaneously. But, Trust is not significantly affected by tangibles. And, Trust has a not positive impact on the word of mouth(WOM). Satisfaction has a positive impact on the repurchase and WOM. Repurchase has a positive impact on the WOM.

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Numerical Simulation of Cascade Flows with Rotor-Stator Interaction Using the Multiblocked Grid (중첩 격자계를 이용한 동익과 정익의 상호작용이 있는 익렬 유동해석)

  • Jung, Y. R.;Park, W. G.;Lee, S. W.
    • 유체기계공업학회:학술대회논문집
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    • 1999.12a
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    • pp.163-169
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    • 1999
  • The numerical procedure has been developed for simulating incompressible viscous flow around a turbine stage with rotor-stator interaction. This study solves 2-D unsteady incompressible Navier-Stokes equations on a non-orthogonal curvilinear coordinate system. The Marker-and-Cell concept is applied to efficiently solve continuity equation. To impose an accurate boundary condition, O-H multiblocked grid system is generated. O-type grid and H-type grid is generated near and outer rotor-stator The cubic-spline interpolation is applied to handle a relative motion of a rotor to the stator. Turbulent flows have been modeled by the Baldwin- Lomax turbulent model. To validate present procedure, the time averaged pressure coefficients around the rotor and stator are compared with experiment and a good agreement obtained.

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Numerical Simulation of Nearshore Tsunami Using a Digital Wave Tank Simulation Technique (디지털 수치수조 기법에 의한 연안 Tsunami의 수치 시뮬레이션)

  • Park, Jong-Chun;Chun, Ho-Hwan
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2003.05a
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    • pp.231-239
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    • 2003
  • A Digital Wave Tank simulation technique based on a finite-difference method and a modified marker-and-cell (MAC) algorithm is applied to investigate the characteristics of nonlinear Tsunami propagations and their interactions with a 2D sloping beach and Ohkushiri island, and to predict maximum wave run-up around the island. The Navier-Stokes (NS) and continuity equation are governed in the computational domain and the boundary values updated at each time step by a finite-difference time-marching scheme in the frame of rectangular coordinate system. The fully nonlinear kinematic free-surface condition is satisfied by the modified marker-density function technique. The Nearshore Tsunami is assumed to be a solitary wave and generated from the numerical wavemaker in the developed Digital Wave Tank. The simulation results are compared with the experiments and other numerical methods based on the shallow-water wave theory.

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Application of Rigid Lid Boundary Condition for Three Dimensional Flow Analysis beneath Floating Structure (부유체하부의 3차원 흐름해석을 위한 Rigid lid 경계조건의 적용)

  • Hong, Nam-Seeg
    • Journal of Ocean Engineering and Technology
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    • v.26 no.5
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    • pp.55-62
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    • 2012
  • In this paper, the rigid lid boundary condition is applied to simulate the influence of floating structures such as ships or pontoons, and the pressure term in both the momentum equations and continuity equation are modified. The pressure of a floating structure under the free surface is dependent on the draft of the structure, generally called a ship. If the free surface is covered by a floating structure, the free surface cannot move freely. The water level should be fixed, using a rigid lid boundary condition. This boundary condition is implemented by reducing the storage area of the grid cell with a factor between zero and one. The numerical model developed by Hong (2009) is verified through a comparison with experimental results, and the influence of the reduction factor is investigated using the verified numerical model.

Mathematical Analysis of Water Hammer Generated in an Initially Empty Piping witha Sudden Contraction Subhect to Rapid Filling (빈관의 급속한 채움에 의한 관단명의 급축소 부분에서의 수격작용)

  • 우효섭;이삼희
    • Water for future
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    • v.22 no.4
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    • pp.435-440
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    • 1989
  • An analytical equation was formulated using the continuity, momentum, and energy equations for the trensients generated in an initially empty piping with a sudden contraction subject to rapid filling with liquid. Also, two mathematical models, MOC and RCT were applied to this particular piping to reveal that the rigid column method is less applicable than the method of characteristics to the piping.

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