• Title/Summary/Keyword: Flow Continuity Equations

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Numerical Study on Flow and Heat Transfer in a CVD Reactor with Multiple Wafers

  • Jang, Yeon-Ho;Ko, Dong Kuk;Im, Ik-Tae
    • Journal of the Semiconductor & Display Technology
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    • v.17 no.4
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    • pp.91-96
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    • 2018
  • In this study temperature distribution and gas flow inside a planetary type reactor in which a number of satellites on a spinning susceptor were rotating were analyzed using numerical simulation. Effects of flow rates on gas flow and temperature distribution were investigated in order to obtain design parameters. The commercial computational fluid dynamics software CFD-ACE+ was used in this study. The multiple-frame-of-reference was used to solve continuity, momentum and energy conservation equations which governed the transport phenomena inside the reactor. Kinetic theory was used to describe the physical properties of gas mixture. Effects of the rotation speed of the satellites was clearly seen when the inlet flow rate was small. Thickness of the boundary layer affected by the satellites rotation became very thin as the flow rate increased. The temperature field was little affected by the incoming flow rate of precursors.

Analysis of the Viscous Flow Around a Front End Cooling Fan (자동차 프런트 엔드 쿨링팬 주위의 점성유동 해석)

  • Bae, Chun-Keun;Oh, Keon-Je;Cho, Won-Bong;Ju, Phil-Ho;Kim, Jong-Cheol
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.1371-1376
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    • 2004
  • Flow analysis of automobile front-end cooling fan are numerically investigated. The Navier-Stokes equations and the continuity equation are solved in the flow domain. The Reynolds stresses are modelled using the $k-{\varepsilon}$ turbulence model. Flow and pressure characteristics around the fan are investigated. The pressure sharply increases through the fan. Pressure variations on the pressure and suction sides of the fan are well represented in the calculations. The flow streamlines in the blade passage are nearly parallel to the blade.

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A Numerical Calculation on Flow Fields around Two-Dimensional Multiple Bodies In Overlapped Grid System (중첩격자계를 사용한 2차원 복수 물체주위 유동장의 수치 계산)

  • Jeong Se-Min;Lee Young-Gill;Lee Seung-Hee
    • 한국전산유체공학회:학술대회논문집
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    • 1996.05a
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    • pp.105-110
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    • 1996
  • In the present paper, flow fields around two dimensional single and two circular cylinders are analysed by a finite difference method. Navier-Stokes and the continuity equations an solved to simulate the flow fields. A overlapped grid system(the composite of a body boundary-fitted grid system near the body and a rectangular grid system for other flow fields) is used for this calculation. In the use of overlapped grid system, it is most significant thing to exchange the physical quantities from one grid system to the other one continuously, In this research, the linear interpolations of physical quantaties are done for this purpose in the overlapped region. The numerical calculations are carried out for the flows around a circular cylinder and two cylinders to verify the accuracy of present method. The flow fields around two cylinders facing the flow with side by side and tandem arrangement are analysed. The results are compared to other experimental and computational ones done in other single grid system.

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Effect of Friction Force on the Dynamic Characteristics of a Flow Divider Valve (Flow Divider Valve의 동특성에 미치는 마찰력의 영향)

  • 박태조;황태영
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.1
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    • pp.198-203
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    • 2000
  • In this paper, a numerical analysis is carried out to show the effect of friction farce on the dynamic characteristics of a flow divider valve. The continuity equations and the equation of motion fur spool are numerically solved. The viscous friction force acting on the spool is considered analyzing the Reynolds equation which governs the viscous flow in the clearance gap between the spool and sleeve. Dynamic characteristics are highly affected by the viscous friction farce whose magnitude is relatively small compare with other fluid forces. Therefore present theoretical formulation and numerical scheme can be used generally in designing and performance evaluation of all the hydraulic spool valve.

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Analysis of Three-Dimensional Mixed Convection Flow About Uniformly Distributed Heat-Generating Blocks on a Conductive Wall (기판 위에 분포된 발열블록 주위의 3차원 혼합대류 열전달 해석)

  • Yun, Byeong-Taek;Choi, Do Hyung
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.23 no.1
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    • pp.1-11
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    • 1999
  • The three-dimensional laminar mixed convection flow between the conductive printed circuit boards. on which the heat generating rectangular blocks are uniformly distributed, has been examined in the present study. The flow and heat-transfer characteristics are assumed to be pseudo periodic in the streamwise direction and symmetric in the cross-stream direction. Using an algorithm of SIMPLER, the continuity equation. the Navier-Stokes equations and the energy equation are solved numerically in the three-dimensional domain Inside the channel. The convective derivative terms are discretized by the QUICK scheme to accurately capture the flow field. The flow and the heat transfer characteristics are thoroughly examined for various Re and Gr.

Numerical Simulation of Laminar Flows for a Circular Cylinder Vertically Piercing Free Surface (수직원통 주위의 자유표면 층류운동의 수치해석)

  • Bum-Sang Yoon;Yoon-Ho Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.1
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    • pp.104-114
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    • 1993
  • In this paper, effects of free surface on viscous flow is investigated. Continuity equation coupled with Navier-Stokes equations are solved numerically by using an artificial compressibility method[1, 2]. The body-fitted generalized curvilinear coordinate system is employed to deal with arbitrary body shape. The IAF scheme with finite difference method is used to solve the equations, and a diagonal algorithm is applied to time-varying Jacobian matrices for the computational economics. Free surface shape is obtained by applying zero pressure condition to still water surface at each time step. A numerical test is made for larminar flow around a circular cylinder vertically piercing the free surface. Computed flow patterns are largely affected by the existance of free surface in low Reynolds number flows treated in this paper. Free surface causes viscous pressure drag to vary much in depth direction in accordance with the variations of flow pattern.

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Numerical Analysis of Partial Cavitaing Flow Past Axisymmetric Cylinders (축대칭 실린더형상 주위 부분공동 유동의 전산해석)

  • Kim, Bong-Su;Lee, Byung-Woo;Park, Warn-Gyu;Jung, Chul-Min
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.33 no.2
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    • pp.69-78
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    • 2009
  • Cavitating flow simulation is of practical importance for many hydraulic engineering systems, such as pump, turbine, nozzle, injector, etc. In the present work, a solver for cavitating flow has been developed and applied to simulate the flows past axisymmetric cylinders. Governing equations are the two-phase Navier-Stokes equations, comprised of continuity equation of liquid and vapor phase. The momentum equation is in the mixture phase. The solver employed an implicit, dual time, preconditioned algorithm in curvilinear coordinates. Computations were carried out for three axisymmetric cylinders: hemispherical, ogive, and caliber-0 forebody shape. Then, the present calculations were compared with experiments and other numerical results to validate the present solver. Also, the code has shown its capability to accurately simulate the re-entrant jet phenomena and ventilated cavitation. Hence, it has been found that the present numerical code has successfully accounted for cavitating flows past axisymmetric cylinders.

Computation of Two-Fluid Flows with Submerged hydrofoil by Interface Capturing Method (접면포착법에 의한 수중익 주위의 이층류 유동계산)

  • 곽승현
    • Journal of Korean Port Research
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    • v.13 no.1
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    • pp.167-174
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    • 1999
  • Numerical analysis of two-fluid flows for both water and air is carried out. Free-Surface flows with an arbitrary deformation have been simulated around two dimensional submerged hydrofoil. The computation is performed using a finite volume method with unstructured meshes and an interface capturing scheme to determine the shape of the free surface. The method uses control volumes with an arbitrary number of faces and allows cell-wise local mesh refinement. the integration in space is of second order based on midpoint rule integration and linear interpolation. The method is fully implicit and uses quadratic interpolation in time through three time levels The linear equation systems are solved by conjugate gradient type solvers and the non-linearity of equations is accounted for through picard iterations. The solution method is of pressure-correction type and solves sequentially the linearized momentum equations the continuity equation the conservation equation of one species and the equations or two turbulence quantities.

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Determination of the Dynamic Coefficients of the Coupled Journal and Thrust Bearings by the Perturbation Method (수학적 섭동법을 이용한 저널과 스러스트가 연성된 유체 동압 베어링의 동특성 계수 해석)

  • Lee, Sang-Hoon;Jang, Gun-Hee
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.16 no.7 s.112
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    • pp.746-753
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    • 2006
  • This paper proposes a method to calculate the stiffness and the damping coefficients of the coupled journal and thrust bearings. The Reynolds equations and their perturbation equations are transformed to the finite element equations by considering the continuity of pressure and flow at the interface between bearings. The Reynolds boundary condition is used in the numerical analysis to simulate the cavitation phenomena. The dynamic coefficients of the proposed method are compared with those of the numerical differentiation of the loads with respect to finite displacements and velocities of bearing center. It shows that the proposed method is more accurate and efficient than the differentiation method.

Numerical Analysis of Heat Flow in Fire Compartment using SIMPLE Algorithm (SIMPLE Algorithm을 이용한 화재실의 열 유체의 수치해석)

  • 김광선;손봉세
    • Fire Science and Engineering
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    • v.6 no.1
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    • pp.17-22
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    • 1992
  • We have derived the general transfer equation for governing the continuity, energy transfer, mass and momentum transfer, and turbulent energy dissipation rate within the fire compartment which has the 800t fire source at the center of the floor. The governing transfer equations have been descretized using the finite volume approach and numerically experimented under the SIMPLE algorithm. In order for the SIMPLE algorithm approach to be physically reliable, the test results are compared with those of Morita's SOR Method using Conjugate Residual Method and found to be close to physical values though the computational convergence time still remains to be upgraded. The treatment of source terms in the system of finite difference equations has been critical in order to converge the governing equations within the appropriate time steps. The criteria of convergence allowance for the whole domain have been checked and the sudden change of the non-linear effects from the source term have been avoided. The criteria has been allowed to be for 5$\times$10$^{-5}$ .

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