• 제목/요약/키워드: Flow Continuity Equations

검색결과 174건 처리시간 0.023초

Electrohydrodynamic Analysis of Dielectric Guide Flow Due to Surface Charge Density Effects in Breakdown Region

  • Lee, Ho-Young;Kang, In Man;Lee, Se-Hee
    • Journal of Electrical Engineering and Technology
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    • 제10권2호
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    • pp.647-652
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    • 2015
  • A fully coupled finite element analysis (FEA) technique was developed for analyzing the discharge phenomena and dielectric liquid flow while considering surface charge density effects in dielectric flow guidance. In addition, the simulated speed of surface charge propagation was compared and verified with the experimental results shown in the literature. Recently, electrohydrodynamics (EHD) techniques have been widely applied to enhance the cooling performance of electromagnetic systems by utilizing gaseous or liquid media. The main advantage of EHD techniques is the non-contact and low-noise nature of smart control using an electric field. In some cases, flow can be achieved using only a main electric field source. The driving sources in EHD flow are ionization in the breakdown region and ionic dissociation in the sub-breakdown region. Dielectric guidance can be used to enhance the speed of discharge propagation and fluidic flow along the direction of the electric field. To analyze this EHD phenomenon, in this study, the fully coupled FEA was composed of Poisson's equation for an electric field, charge continuity equations in the form of the Nernst-Planck equation for ions, and the Navier-Stokes equation for an incompressible fluidic flow. To develop a generalized numerical technique for various EHD phenomena that considers fluidic flow effects including dielectric flow guidance, we examined the surface charge accumulation on a dielectric surface and ionization, dissociation, and recombination effects.

Numerical analysis of turbulent flow around a small propeller fan operating at the inlet of open chamber (개방된 챔버 입구에서 작동하는 소형 프로펠러 팬 주위의 난류유동해석)

  • O, Geon-Je;Gang, Sin-Hyeong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • 제21권12호
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    • pp.1586-1594
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    • 1997
  • Performance characteristics of a small propeller fan are numerically investigated solving the continuity and Reynolds-averaged Navier-Stokes equations. The Reynolds stresses for turbulent transport are modelled using a k-.epsilon. turbulence model. The present numerical procedure is constructed using the Finite Volume Method with the SIMPLE algorithms. The performance parameters obtained from the calculations are compared with the measured values for the various flow rates. A performance test of the fan shows different characteristics between a radial type at small flow rates and an axial type at large flow rates. Comparisons between the predictions and the measurements show that the predicted results are in good agreement with the measured values and reasonably reproduce the sharp variations of the power and head coefficient around a flow coefficient .PHI.=0.3. These comparisons indicate that the present numerical method is capable of resolving the performance characteristics with reasonable accuracy. At low flow rates, it is found that the flow enters the fan in an axial direction and is discharged radially outward at the tip which happens in the centrifugal fan. The centrifugal effect makes a significant difference in the characteristics of a fan at the low and high values of flow coefficient.

Numerical Analysis on the Flow Distribution in Ondol Flue Channel (산고래 온돌연도내의 유동분포에 관한 수치해석)

  • Man Man-Ki;Lee Seung Woo
    • The Magazine of the Society of Air-Conditioning and Refrigerating Engineers of Korea
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    • 제12권4호
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    • pp.264-274
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    • 1983
  • Two-dimensional jet flows into a couple of confined rectangular enclosures such as an Ondol flue channel and their flow distributions were analyzed by numerical graphics : rectangular space in one enclosure is vacated and the other has 8 rectangular small posts. Both enclosures have a protruded inlet nozzle and on outlet on its center line. Steady state incompressible laminar viscous flow was assumed. The primitive forms of Navier-Stokes equations and continuity equation in a cartesian coordinate system were solved numerically by the Marker and Cell method for Reynolds numbers of 5, 10, 20, 30 and 40. From the numerical graphics it was found that the flow regions in both enclosures were devided into tow parts ; one part was the jet flow localized in a narrow center region of the enclosure and the other part was the very slow recirculating flow occupying the rest of the flow region in the enclosures. However there were a little differences in the shapes of jet flow in both enclosures for Reynolds numbers of 5 and 10 and also in the shapes of recirculating flows in both enclosures for all Reynolds number. Also it was found that waving flow appeared right before the outlet at Reynolds number of 20 and more.

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A three-dimensional numerical model for shallow water flows using a free surface correction method (자유수면 보정기법을 이용한 3차원 천수유동 수치모형)

  • Jang, Won-Jae;Lee, Seung-Oh;Cho, Yong-Sik
    • 한국방재학회:학술대회논문집
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    • 한국방재학회 2007년도 정기총회 및 학술발표대회
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    • pp.181-185
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    • 2007
  • A free-surface correction(FSC) method is presented to solve the 3-D shallow water equations. Using the mode splitting process, FSC method can simulate shallow water flows under the hydrostatic assumption. For the hydrostatic pressure calculation, the momentum equations are firstly discretized using a semi-implicit scheme over the vertical direction leading to the tri-diagonal matrix systems. A semi-implicit scheme has been adopted to reduce the numerical instability caused by relatively small vertical length scale compare to horizontal one. and, as the free surface correction step the final horizontal velocity fields are corrected after the final surface elevations are obtained. Finally, the vertical final velocity fields can be calculated from the continuity equation. The numerical model is applied to the calculation of the simulation of flow fields in a rectangular open channel with the tidal influence. The comparisons with the analytical solutions show overall good agreements between the numerical results and analytical solutions.

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Study on the Shape of Free Surface Waves by the Scheme of Volume Fraction (Volume Fraction 기법에 의한 자유표면파 형상 연구)

  • Kwag, Seung-Hyun
    • Journal of Advanced Marine Engineering and Technology
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    • 제32권8호
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    • pp.1215-1220
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    • 2008
  • To obtain the shape of the free surface more accurately, computations are carried out by a finite volume method using unstructured meshes and an interface capturing method. Free-surface flow, which is very important in the fields of ship and marine engineering, is numerically simulated for flows of both water and air. Control volumes are used with an arbitrary number of faces and allows a local mesh refinement. The integration is of second order, with a midpoint rule integration and linear interpolation. The method is fully implicit and uses quadratic interpolation. The solution method of pressure-correction type solves sequentially equations of momentum, continuity, conservation, and two-equations turbulence model. Comparison are quantitatively made between the computation and experiment in order to confirm the solution method.

Finite element analysis for the flow characteristics along the thickness direction in injection molding (사출성형시 두께방향으로의 유동특성에 관한 유한요소 해석)

  • 이호상;신효철
    • Transactions of the Korean Society of Mechanical Engineers
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    • 제11권6호
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    • pp.1026-1035
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    • 1987
  • The injection molding process is used in the fabrication of a large variety of plastic articles. A numerical simulation of the filling stage along the thickness direction is proposed by combining the free surface boundary condition with the relevant governing equations. The mathematical model is based on the equations of continuity, momentum and energy along with inelastic power-law model and relevant boundary conditions. Due to the significant implications for microstructure development in the pro duct, the fountain effect at the advancing free surface is explicitly taken into consideration in the simulation. The model yields data on free surface shape as well as velocity, pressure, temperature and shear stress distributions within the mold cavity. The rearrangement of the velocity and temperature profiles in the vicinity of the melt front is considered in detail.

Analysis of the Fluid Dynamic Bearings with Curve Surfaces in the Spindle Motor of a Computer Hard Disk Drive (컴퓨터 하드 디스크 드라이브 스핀들 모터에 사용되는 곡면 유체 동압 베어링 해석)

  • Kim, Hak-Woon;Jang, Gun-Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 한국소음진동공학회 2008년도 추계학술대회논문집
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    • pp.401-406
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    • 2008
  • This paper proposes a method to calculate the static characteristics of the FDBs with the curved surface. The general Reynolds equations are derived for the curved surfaces in the ${\theta}s$ plane. And the Reynolds equation is transformed to the finite element equations by considering the continuity of pressure and flow at the interface between the curved, journal and the thrust bearings. It also includes the Reynolds boundary condition in the numerical analysis to simulate the cavitation phenomenon. The static characteristics of the coupled journal and conical bearings were investigated due to the variation of conical angle. It shows that the conical angle is one of the important design parameters affecting the static and dynamic characteristics of FBBs.

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A FUNDAMENTAL STUDY ON THE NUMERICAL SIMULATION OF WAVE BREAKING PHENOMENON AROUND THE FORE-BODY OF SHIP (선수주위 쇄파현상의 수치시뮬레이션에 관한 기초연구)

  • Eom T.J.;Lee Y.-G.;Jeong K.-L.
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2005년도 추계 학술대회논문집
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    • pp.195-199
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    • 2005
  • Wave breaking phenomenon near the fore body of a ship is numerically simulated. The ship advance with uniform velocity in calm water. For the simulation, incompressible Navier-Stokes equations and continuity equation are adopted as governing equations. The simulation is carried out in staggered variable mesh system with finite difference method. Marker and Cell(MAC) method and Marker-Density method are employed to track the free surface. Body boundary conditions are satisfied with the adoption of porosity method and no-slip condition on the hull surface. The ship model has a wedge type fore-body, and the computational domain is an appropriate region around the fore-body. The computation results are compared with some experimental results. Also the difference of the free surface tracking methods are discussed.

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Oscillation of Camring and Detachment of Vanes from a Camring in a Variable Displacement Vane Pump (가변 용량형 유압 베인 펌프에서 베인의 이간과 캠링의 진동)

  • 장주섭;양광식;윤영환;이종철;한동철
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 한국윤활학회 1998년도 제28회 추계학술대회
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    • pp.190-195
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    • 1998
  • This paper reports on the theoretical and expetimental study of the vane and cam ring motions in a variable displacement vane pump which is already used widely in various industrial and automotive applications. Dynamic equations of vane and cam ring motion and flow continuity equations are derived and then solved simultaneously using the numerical method. Vane detachment cause the pressure tipples, noise, wear in cam ring, and decrease the volumetric efficiency. Consequently, Vane detachment occurs due to excess compression in the pumping chamber, and it can be reduced by adjustment of design parmeters.

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Prediction of Oil Amount Leaked from Damaged Tank Using 2-dimensional Particle Simulation (파손된 탱크의 기름 유출량 산정을 위한 2차원 입자법 시뮬레이션)

  • Nam, J.W.;Hwang, S.C.;Park, J.C.;Kim, M.H.
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2011년 춘계학술대회논문집
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    • pp.278-285
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    • 2011
  • In the present study, the numerical prediction of the oil amount leaked from the hole of a damaged tank is investigated using the improved MPS (Moving Particle Semi-implicit) method, which was originally proposed by Koshizuka and Oka (1996) for incompressible flow. The governing equations, which consist of the continuity and Navier-Stokes equations, are solved by Lagrangian moving particles, and all terms expressed by differential operators should be replaced by the particle interaction models based on a Kernel function. The simulation results are validated though the comparison with the analytic solution based on Torricelli's equilibrium relation. Furthermore, a series of numerical simulations under the various conditions are performed in order to estimate more accurately the initial amount of leaked oil.

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