• Title/Summary/Keyword: axial velocity distributions

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Effect of applied magnetic fields on Czochralski single crystal growth (Part II) (Czochralski 단결성 성장특성제어를 위한 자장형태에 관한 연구 (Part 2))

  • Chang Nyung Kim
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.4 no.1
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    • pp.46-56
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    • 1994
  • The characteristics of flows, temperatures, concentrations of the boron are numerically studied when uniform axial magnetic fields are applied in the Czechralski crucible. The to governing factors to the flow regimes are buoyancy, thermocapillarity, centrifugal forces, magnetic forces, diffusion coefficient and segregation coefficient of the boron. Since the concentration of the boron is so low that buoyancy effects are negligible, it cannot affect the flow and temperature fields. From the fact that the flow fields are rotationally symmetric, two velocity components in the meridional plane and the circumferential velocity are calculated together with the temperature in the steady state. Based on the known velocity and temperature distributions the unsteady concentration distributions of the boron are calculated. As the strength of the magnetic is increased, the flow velocities are decreased. Circumferential velocities are large near the crucible side-wall and in the region below the rotating crystal. Steep temperatures gradient near the edge of the rotating crystal causes the Marangoni convection. It has been found out that the convection characteristics affects the unsteady transport phenomena of the boron.

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Numerical Calculation of Viscous Flows for Two HSVA Tankers (HSVA 두 탱커 선형에 대한 점성유동 계산)

  • Kwak, Young-Ki
    • Journal of Ocean Engineering and Technology
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    • v.13 no.2 s.32
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    • pp.138-146
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    • 1999
  • The viscous flow around a ship hull is calculated by the use of RANS(Reynolds-averaged Navier-Stokes) solver. Reynolds stresses are midelled by using the k-${epsilon}$ turbulence model and the law is applied near the body. Body fitted corrdinates are introduced for the treatment of the complex boundary of the ship hull form and the governing equations in the physical domain transformed into ones in the computational domain. The transformed equations are numerically solved by an employment of FVM(Finite Volume Method). SIMPLE(Semi-Implicit Pressure Linked Equation) method is adopted in the calculation of pressure and the solution of the sidcretized equation is obtained by the line-by-line method with the use of TDMA(Tri-Diagonal Matrix Algorithme). To assure the proprietty of this computing method, HSVA tanker and Dyne hull are calculated ar both model and ship scale Reynolds number. Their reaults of pressure distributions on fore and aft body, axial velocity contours and transverse velocity velocity vectors and viscous resistance coefficients are compared with other's experiments and calculations.

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A study on Flow and Heat Transfer Characteristics in a Duct with Periodic Pressure Gradient (주기적인 압력구배를 받는 덕트에서의 유동 및 열전달특성에 관한 연구)

  • 이재헌
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.2
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    • pp.369-381
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    • 1992
  • Characteristics of flow and heat transfer have been studied numerically in a square duct with a periodic pressure gradient. The flow in a duct was assumed to be fully developed and constant heat flux was imposed at the surfaces of a square duct. The distributions of axial velocity and time-space averaged temperature are investigated with angular velocity and amplitude ratio at a given Reynolds number 1000. When the periodic pressure gradient was imposed axially in a duct, the reverse flow may be occurred near the duct wall. The magnitude of this reverse flow increases as the amplitude ratio increases or as the angular frequency decreases. In the ranges of the amplitude ratio and the angular velocity in present investigation, the ratio of the periodic time space averaged temperature to the nonperiodic space averaged temperature has been found to be greater than one. This means that the cooling effect at the duct walls deteriorates with a periodic situation compared with nonperiodic one.

Heat Transfer by an Oscillating Flow in a Circular Pipe with Sinusoidal Wall Temperature Distributions (벽온도분포가 정현파인 원관에서 왕복유동에 의한 열전달 해석)

  • 이대영;박상진;노승탁
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.12
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    • pp.3208-3216
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    • 1993
  • Heat transfer characteristics of the laminar oscillating flow in a circular pipe have been studied under the condition that the wall temperature of the pipe is distributed sinusoidally with the axial direction. The axial velocity was assumed to be uniform in radial direction and the temperature field was analyzed by means of the perturbation method. The results show that the difference between wall and section-time-averaged fluid temperature increases as the oscillating frequency increases and eventually converges to a constant value which is determined by the ratio of swept distance to the characteristic length of wall temperature distribution. Also it is shown that the dominant variable in the heat transfer process when swept distance ratio is greater than 1 is not thermal Womersley number(F) but thermal Womersley number multiplied by the square root of swept distance ratio. The variation of the time-averaged Nusselt number is obtained as a function of F. The results indicate that Nusselt number is proportional to $F_{\epsilon}^{1/2}$ when both of F and .epsilon. are much greater than 1.

The Effect of an Axial Magnetic Field on Czochralski Growth of Silicon (초크랄스키법에 의한 실리콘 단결정 성장시 축방향 자기장의 영향)

  • 정형태;한승호;윤종규
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.3 no.1
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    • pp.1-11
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    • 1993
  • A suppression of turbulent fluid motion and a control of oxygen and dopants could be improved by application of magnetic field in Czochralski growth of silicon. The effect of an axial magnetic field on Czochralski system was numerically calculated. The fluid motions induced by temperature gradients and by crystal and crucible rotations were suppressed by magnetic force. The S/L interface was gradually flattened in proportion to the increase of magnetic field due to a reduced ascending velocity in the vicinity of center line. The t.emperature distributions in the melt at 8=0.3 Tesla were similar to those analyzed by the conduction heat transfer only. The dissipated amounts of heat flux from melt and crystal surfaces by Ar gas blowing was Jess than 3 %.

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BOTANI: High-fidelity multiphysics model for boron chemistry in CRUD deposits

  • Seo, Seungjin;Park, Byunggi;Kim, Sung Joong;Shin, Ho Cheol;Lee, Seo Jeong;Lee, Minho;Choi, Sungyeol
    • Nuclear Engineering and Technology
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    • v.53 no.5
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    • pp.1676-1685
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    • 2021
  • We develop a new high-fidelity multiphysics model to simulate boron chemistry in the porous Chalk River Unidentified Deposit (CRUD) deposits. Heat transfer, capillary flow, solute transport, and chemical reactions are fully coupled. The evaporation of coolant in the deposits is included in governing equations modified by the volume-averaged assumption of wick boiling. The axial offset anomaly (AOA) of the Seabrook nuclear power plant is simulated. The new model reasonably predicts the distributions of temperature, pressure, velocity, volumetric boiling heat density, and chemical concentrations. In the thicker CRUD regions, 60% of the total heat is removed by evaporative heat transfer, causing boron species accumulation. The new model successfully shows the quantitative effect of coolant evaporation on the local distributions of boron. The total amount of boron in the CRUD layer increases by a factor of 1.21 when an evaporation-driven increase of soluble and precipitated boron concentrations is reflected. In addition, the concentrations of B(OH)3 and LiBO2 are estimated according to various conditions such as different CRUD thickness and porosity. At the end of the cycle in the AOA case, the total mass of boron incorporated in CRUD deposits of a reference single fuel rod is estimated to be about 0.5 mg.

Construction of a microwave free electron laser and studies of its characteristics (마이크로파 자유전자 레이저의 제작 및 동작특성 연구)

  • 이관철;정기형
    • Korean Journal of Optics and Photonics
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    • v.3 no.1
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    • pp.43-49
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    • 1992
  • A microwave free electron laser which consists of Marx generator, vacuum diode, bifilar helical wiggler, and guide solenoid was designed and constructed. The analysis of the magnetic field distributions of the bifilar helical wiggler and computer simulation of electron trajectories with the perpendicular effect of space charges led to the conclusion that the magnetic field distributions are suitable for the electron beam injection. Output frequency in a single $TE_{11}$

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Particle deposition on a rotating disk in application to vapor deposition process (VAD) (VAD공정 관련 회전하는 원판으로의 입자 부착)

  • Song, Chang-Geol;Hwang, Jeong-Ho
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.22 no.1
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    • pp.61-69
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    • 1998
  • Vapor Axial Deposition (VAD), one of optical fiber preform fabrication processes, is performed by deposition of submicron-size silica particles that are synthesized by combustion of raw chemical materials. In this study, flow field is assumed to be a forced uniform flow perpendicularly impinging on a rotating disk. Similarity solutions obtained in our previous study are utilized to solve the particle transport equation. The particles are approximated to be in a polydisperse state that satisfies a lognormal size distribution. A moment model is used in order to predict distributions of particle number density and size simultaneously. Deposition of the particles on the disk is examined considering convection, Brownian diffusion, thermophoresis, and coagulation with variations of the forced flow velocity and the disk rotating velocity. The deposition rate and the efficiency directly increase as the flow velocity increases, resulting from that the increase of the forced flow velocity causes thinner thermal and diffusion boundary layer thicknesses and thus causes the increase of thermophoretic drift and Brownian diffusion of the particles toward the disk. However, the increase of the disk rotating speed does not result in the direct increase of the deposition rate and the deposition efficiency. Slower flow velocity causes extension of the time scale for coagulation and thus yields larger mean particle size and its geometric standard deviation at the deposition surface. In the case of coagulation starting farther from the deposition surface, coagulation effects increases, resulting in the increase of the particle size and the decrease of the deposition rate at the surface.

Performance Characteristics of Small Tubular-type Hydroturbine according to the Guide Vane Opening Angle by Experiment and CFD (실험 및 CFD에 의한 가이드베인 개도에 따른 소형 튜블러 수차의 성능특성)

  • Nam, Sang-Hyun;Kim, You-Taek;Choi, Young-Do;Lee, Young-Ho
    • The KSFM Journal of Fluid Machinery
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    • v.11 no.5
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    • pp.44-49
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    • 2008
  • As the alternative energy, renewable energy should have been developing by many techniques, in order to substitute the fossil fuel which will be disappeared in the near future. One of the small hydropower generator, main concept of tubular turbine is based on using the different water pressure levels in pipe lines, energy which was initially wasted by using a reducing valve at the end of the pipeline, is collected by turbine in the hydro power generator. A propeller shaped hydro turbine has been used in order to use this renewable pressure energy in order to acquire basic design data of tubular type hydraulic turbine, output power, head, efficiency characteristics due to the guide vane opening angle are examined in detail. First, it ensures the reliance of CFD by that of compared with experiment data. After all, the results of performance characteristics of the CFD and experiment show to confirm the data that power, head and efficiency of less than 4%, 2% and 5% respectively. Moreover influences of pressure, tangential and axial velocity distributions on turbine performance are investigated.

Experimental and Computational Studies on Flow Behavior Around Counter Rotating Blades in a Double-Spindle Deck

  • Chon, Woo-Chong;Amano, Ryoichi S.
    • Journal of Mechanical Science and Technology
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    • v.18 no.8
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    • pp.1401-1417
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    • 2004
  • Experimental and computational studies were performed to determine the effects of different blade designs on a flow pattern inside a double-spindle counter rotating mower deck. In the experimental study, two different blade models were tested by measuring air velocities using a forward-scatter LDV system. The velocity measurements were taken at several different azimuth and axial sections inside the deck. The measured velocity distributions clarified the air flow pattern caused by the rotating blades and demonstrated the effects of deck and blade designs. A high-speed video camera and a sound level meter were used for flow visualization and noise level measurement. In the computational works, two-dimensional blade shapes at several arbitrary radial sections have been selected for flow computations around the blade model. For three-dimensional computation applied a non-inertia coordinate system, a flow field around the entire three-dimensional blade shape is used to evaluate flow patterns in order to take radial flow interactions into account. The computational results were compared with the experimental results.