• 제목/요약/키워드: Rectangular-type circulation system

검색결과 4건 처리시간 0.021초

Mathematical approach for optimization of magnetohydrodynamic circulation system

  • Lee, Geun Hyeong;Kim, Hee Reyoung
    • Nuclear Engineering and Technology
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    • 제51권3호
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    • pp.654-664
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    • 2019
  • The geometrical and electromagnetic variables of a rectangular-type magnetohydrodynamic (MHD) circulation system are optimized to solve MHD equations for the active decay heat removal system of a prototype Gen-IV sodium fast reactor. Decay heat must be actively removed from the reactor coolant to prevent the reactor system from exceeding its temperature limit. A rectangular-type MHD circulation system is adopted to remove this heat via an active system that produces developed pressure through the Lorentz force of the circulating sodium. Thus, the rectangular-type MHD circulation system for a circulating loop is modeled with the following specifications: a developed pressure of 2 kPa and flow rate of $0.02m^3/s$ at a temperature of 499 K. The MHD equations, which consist of momentum and Maxwell's equations, are solved to find the minimum input current satisfying the nominal developed pressure and flow rate according to the change of variables including the magnetic flux density and geometrical variables. The optimization shows that the rectangular-type MHD circulation system requires a current of 3976 A and a magnetic flux density of 0.037 T under the conditions of the active decay heat removal system.

Sensitivity analysis of numerical schemes in natural cooling flows for low power research reactors

  • Karami, Imaneh;Aghaie, Mahdi
    • Advances in Energy Research
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    • 제5권3호
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    • pp.255-275
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    • 2017
  • The advantages of using natural circulation (NC) as a cooling system, has prompted the worldwide development to investigate this phenomenon more than before. The interesting application of the NC in low power experimental facilities and research reactors, highlights the obligation of study in these laminar flows. The inherent oscillations of NC between hot source and cold sink in low Grashof numbers necessitates stability analysis of cooling flow with experimental or numerical schemes. For this type of analysis, numerical methods could be implemented to desired mass, momentum and energy equations as an efficient instrument for predicting the behavior of the flow field. In this work, using the explicit, implicit and Crank-Nicolson methods, the fluid flow parameters in a natural circulation experimental test loop are obtained and the sensitivity of solving approaches are discussed. In this way, at first, the steady state and transient results from explicit are obtained and compared with experimental data. The implicit and crank-Nicolson scheme is investigated in next steps and in subsequent this research is focused on the numerical aspects of instability prediction for these schemes. In the following, the assessment of the flow behavior with coarse and fine mesh sizes and time-steps has been reported and the numerical schemes convergence are compared. For more detail research, the natural circulation of fluid was modeled by ANSYS-CFX software and results for the experimental loop are shown. Finally, the stability map for rectangular closed loop was obtained with employing the Nyquist criterion.

Analysis of 2-Dimensional Shallow Water Equations Using Multigrid Method and Coordinate Transformation

  • Lee, Jong-Seol;Cho, Won-Cheol
    • International Union of Geodesy and Geophysics Korean Journal of Geophysical Research
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    • 제26권1호
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    • pp.1-14
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    • 1998
  • Various numerical methods for the two dimensional shallow water equations have been applied to the problems of flood routing, tidal circulation, storm surges, and atmospheric circulation. These methods are often based on the Alternating Direction Implicity(ADI) method. However, the ADI method results in inaccuracies for large time steps when dealing with a complex geometry or bathymetry. Since this method reduces the performance considerably, a fully implicit method developed by Wilders et al. (1998) is used to improve the accuracy for a large time step. Finite Difference Methods are defined on a rectangular grid. Two drawbacks of this type of grid are that grid refinement is not possibile locally and that the physical boundary is sometimes poorly represented by the numerical model boundary. Because of the second deficiency several purely numerical boundary effects can be involved. A boundary fitted curvilinear coordinate transformation is used to reduce these difficulties. It the curvilinear coordinate transformation is used to reduce these difficulties. If the coordinate transformation is orthogonal then the transformed shallow water equations are similar to the original equations. Therefore, an orthogonal coorinate transformation is used for defining coordinate system. A multigrid (MG) method is widely used to accelerate the convergence in the numerical methods. In this study, a technique using a MG method is proposed to reduce the computing time and to improve the accuracy for the orthogonal to reduce the computing time and to improve the accuracy for the orthogonal grid generation and the solutions of the shallow water equations.

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강제순환 방식의 공기가열식 태양열 집열기의 성능분석에 관한 수치해석 연구 (A Numerical Study on the Performance Analysis of a Solar Air Heating System with Forced Circulation Method)

  • 박형수;김철호
    • 한국산학기술학회논문지
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    • 제18권3호
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    • pp.122-126
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    • 2017
  • 태양열 에너지를 이용하여 단순한 형태의 공기가열식 집열기를 이용하여 공기를 가열하고 이를 활용하여 생활공간의 난방문제를 해결하기 위한 장치를 개발하는데 목적을 두고 진행되고 있다. 현 시점에서 연구는 모델로 개발한 공기가열식 태양열에너지 집열기의 크기 변화에 따른 가용한 에너지의 량을 이론적으로 산출해 보고 이를 통해 개발 시스템의 가능성을 판단하고자 한다. 본 연구에서는 공기가열식 태양열 집열기의 공기가열성능을 판단하기 위하여, 특정 크기의 태양열 집열기에 일정한 일사량을 투하하였을 때, 모델 집열기 내부에서의 열전달 특성변화와 이를 통해 생산되는 공기의 온도($^{\circ}C$)와 생산량(kg/h)을, 유한체적법(Finite Volume Method)을 적용한 범용 열유동해석(CFD) 프로그램인 영국 CHAM사의 PHOENICS(1)를 이용하여, 분석한 결과를 구하였다. 분석한 결과에서 알 수 있듯이 집열기의 크기가 ($1.2m{\times}1.1m{\times}0.19m$)의 집열기에서 알루미늄으로 제작하는 내경 0.1m의 공기 가열관을 이용하여 가열할 수 있는 공기의 온도는 약 $40.5^{\circ}C$이며 이때 생산되는 공기의 생산량은 약 $161m^3/h$으로 산출되었다. 본 모델장치는 충분히 태양의 열에너지를 이용하여 실내공간의 온도를 인간이 활동하기에 적합한 활동의 환경을 유지하는데 활용할 수 있다고 판단된다.