• Title/Summary/Keyword: flow equation

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Analysis of Cold Gas Flow in Puffer Type GCB Considering the Real Gas Property of $SF_6$ ($SF_6$ 가스의 실제 기체특성을 고려한 파퍼식 가스차단기 내의 냉가스 유동해석)

  • 김홍규;정진교;박경엽
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.53 no.3
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    • pp.129-134
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    • 2004
  • To analyze the performance of the gas circuit breaker(GCB), the flow field variables such as temperature, pressure and density should be evaluated accurately In the puffer chamber of puffer type GCB, the pressure rise may Exceed 20 bar and in this range of high pressure, $SF_6$ gas deviates the ideal gas property. Therefore, the real gas property of $SF_6$ should be taken into consideration for the accurate analysis of flow field. This paper presents the analysis technique of cold gas flow in GCB employing the real gas state equation of SF6. The FVFLIC method is Employed to solve the axisymmetric Euler equation. To reduce the computational effort of real gas state equation, the relationship between density and pressure is approximated by the polynomial at the temperature of 300K. The proposed method is applied to the test GCB model and simulation results show good agreement with the experimental ones.

A Numerical Study on the Blood Flow through a Disc Type Heart Valve (원판형 심장판 주위의 혈액 흐름에 대한 수직 해석)

  • 박영필;이신재
    • Journal of Biomedical Engineering Research
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    • v.2 no.2
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    • pp.89-102
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    • 1981
  • The recirculating flows which occur in the prosthetic heart valve have been known to cause several diseases in the human body. And the recent studies show that the shear stress at the wall of the artery is also very important factor in the formation of thrombus. And many studies knave been devoted in obtaining more information about the blood flow through the prosthetic heart valve. In this Paper, the steady axisymmetric flow through the Disc-Type Heart Valve is studied by using the numerical method. The geometry of the Disc-Type Heart Valve is simplified, and the flow is assumed to be steady axisymmetric flow. The vorticity transport equation derived from the Wavier-Stoke's equation is used as the governing equation, and the explicit finite difference method is used to obtain the steady state solution. The results for several Reynolds numbers show that the recirculating flow becomes large as the Remolds number increases. Furthermore, it can be shown that the magnitudes of the vorticity and the stresses are also increased with the Reynolds number, but there is only a little change in their configurations of distribution and in their positions of maximum values.

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Friction Factor of Rectangular Open Channel Flow (사각형 개수로 마찰계수)

  • 유동훈
    • Water for future
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    • v.28 no.2
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    • pp.155-168
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    • 1995
  • The present paper discusses the traditional empirical equations of friction factor or cross-sectional mean velocity of open channel flow and suggests the new form of friction factor equation. Dimensional analysis is conducted for the possible forms of traditional empirical equations in order to satisfy the dimensional equality, and new forms of empirical equations are presented with introducing equivalent roughness height. Considering the distribution of friction factor against Reynolds number which has a similar characteristics to that of smooth turbulent flow in circular pipe, the friction factor equation of rectangular open channel flow is developed by modifying the friction factor equation of circular pipe flow for the region of smooth turbulent flow. The equations including the dimensionally-corrected empirical equations are tested against Bazin's laboratory experiments.

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Numerical analysis of the magnetic fluid velocity and pressure distribution according to the various magnetic field (여러가지 자기장 배치 기법에 따른 자성유체 속도 및 압력 분포에 관한 수치해석적 연구)

  • Song, Joon-Ho;Lee, Yuk-Hyung;Bae, Hyung-Sub
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.7 no.2
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    • pp.31-37
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    • 2008
  • In this paper, we analyzed the dynamic behavior of magnetic fluid in a circular pipe with multiple permanent magnets. Magnetic fluid react on magnetic field against the normal fluid. In other words, magnetic fluid flow has the electromagnetism and fluid mechanics. So magnetic fluids has studied about the fluids properties and experiment. In this paper we studied the magnetic fluids velocity and pressure distribution for the novel type actuator. Because the velocity and pressure distribution is the important element of the magnetic fluids flow. First, we analyzed the Maxwell equation for the multiple permanent magnet and then concluded the governing equations for the magnetic fluid flow using the equation of Navier-Stokes. And, we simulated the dynamic behavior of magnetic fluid flow using the FEM(Finite Element Method). And we illustrated the relation between magnetic field and dynamic behavior of magnetic fluid flow.

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A Study on the Prediction of Pressure Drop for Ship Strainer (선박용 스트레이너의 압력강하 예측에 관한 연구)

  • Son, In-Soo
    • Journal of the Korean Society of Industry Convergence
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    • v.24 no.5
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    • pp.573-579
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    • 2021
  • In this study, flow analysis was performed on three types of strainers for ships with different flow rates to predict the pressure drop of the strainer due to the filter of strainer. In the case of flow analysis, the flow analysis was performed by applying the porous media method by applying the resistance value derived by Ergun's equation to the filter position. As a result of the analysis, it was found that when the dimensions of the strainer body were small, the influence of the flow rate on the pressure drop was large. In addition, the amount of pressure drop and the flow rate are almost linearly proportional, and an analysis formula that can predict the amount of pressure drop was derived. In order to predict the amount of pressure drop of the strainer when blockage exist in the strainer filter, the analysis was performed by introducing the resistance ratio to derive the prediction equation. Using this equation, it is thought that it will be possible to predict the performance of the strainer due to blockage in the future strainer design and field application.

A Numerical Study on the Flow around a Rudder using Blowing Effect (선박의 타 주위 유동 및 분사효과에 관한 수치적 연구)

  • Park Je-Jun;Lee Seung-Hee
    • 한국전산유체공학회:학술대회논문집
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    • 1998.11a
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    • pp.185-190
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    • 1998
  • A Numerical simulation on the flow around a Rudder with blowing is performed by Finite Volume Method. The governing equations are three dimensional incompressible Navier-Stokes equation and Continuity equation, Flow field around a finite Rudder including tip vortex is simulated and the change of the lift force by blowing is analyzed.

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Large Eddy Simulation of Turbulent Combustion Flow Based on 2-scaler flamelet approach

  • Oshima, Nobuyuki;Tominaga, Takuji
    • 한국전산유체공학회:학술대회논문집
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    • 2006.10a
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    • pp.18-21
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    • 2006
  • This paper investigates LES of turbulent combustion flow based on 2-scalar flamelet approach, where a G-equation and a conserved scalar equation simulate a propagation of premixed flame and a diffusion combustion process, respectively. The turbulent SGS modeling on these flamelet combustion approach is also researched. These LES models are applied to an industrial flows in a full scale gasturbine combustor with premixed and non-premixed flames. The numerical results predict the characteristics of experiment temperature profiles. Unsteady features of complex flames in combustor are also visualized.

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NUMERICAL SIMULATIONS FOR THE CONTRACTION FLOW USING GRID GENERATION

  • Salem, S.A.
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.383-405
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    • 2004
  • We study the incomprssible Navier Stokes equations for the flow inside contraction geometry. The governing equations are expressed in the vorticity-stream function formulations. A rectangular computational domain is arised by elliptic grid generation technique. The numerical solution is based on a technique of automatic numerical generation of acurvilinear coordinate system by transforming the governing equation into computational plane. The transformed equations are approximated using central differences and solved simultaneously by successive over relaxation iteration. The time dependent of the vorticity equation solved by using explicit marching procedure. We will apply the technique on several irregular-shapes.

THE GRADIENT FLOW EQUATION OF RABINOWITZ ACTION FUNCTIONAL IN A SYMPLECTIZATION

  • Urs Frauenfelder
    • Journal of the Korean Mathematical Society
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    • v.60 no.2
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    • pp.375-393
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    • 2023
  • Rabinowitz action functional is the Lagrange multiplier functional of the negative area functional to a constraint given by the mean value of a Hamiltonian. In this note we show that on a symplectization there is a one-to-one correspondence between gradient flow lines of Rabinowitz action functional and gradient flow lines of the restriction of the negative area functional to the constraint. In the appendix we explain the motivation behind this result. Namely that the restricted functional satisfies Chas-Sullivan additivity for concatenation of loops which the Rabinowitz action functional does in general not do.

Measurement of velocity Pronto in Liquid Metal Flow Using Electromagnetic Tomography (전자기 토모그래피를 이용한 액체 금속 속도장 측정)

  • Ahn Yeh-Chan;Kim Moo Hwan;Choi Sang-Ho
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.10
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    • pp.1271-1278
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    • 2004
  • In order to measure non-intrusively velocity profile in liquid metal flow, a modified electromagnetic flowmeter was designed, which was based on electromagnetic tomography technique. Under the assumption that flow is fully-developed, axisymmetric and rectilinear, the velocity profile was reconstructed after the flowmeter equation, the first kind of Fredholm integration equation, was linearized. In reconstruction process Tikhonov regularization method with regularization parameter was used. The reconstructed velocity profile had the nearly same as turbulent flow profile which was approximately represented as log law. In addition, flowmeter output fur a fixed magnet rotation angle was linearly proportional to flow rate. When magnet rotation angle was 54$^{\circ}$, axisymmetric weight function was nearly uniform so that the flowmeter gives a constant signal for any fully-developed, axisymmetric and rectilinear profile with a constant flow rate.