• Title/Summary/Keyword: Flow Continuity Equations

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Internal Viscous Flow Computation Within the Jet Pump Elements (제트 폄프 요소 내부의 유동 해석)

  • Cho J. K.;Oh S. W.;Park W. G.;Oh S. M.;Lee S. W.
    • 한국전산유체공학회:학술대회논문집
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    • 1996.05a
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    • pp.99-104
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    • 1996
  • The jet pump is being used in many fields for several purposes because of its simple construction and easy operation. The characteristics of the geometrical variables, pressure gradient and velocity distribution of the jet pump are studied using the CFD technique. The flow calculations through a bended nozzle. a mixing chamber and a venturi are presented and phenomenological aspects are discussed. This study solve 3-D steady incompressible Navier-Stokes equations using the Iterative time marching scheme. The governing equations are differenced with 1st-order accurate backward difference scheme for the time derivatives and 3rd-order accurate QUICK scheme for the convective terms. The Mark-and-cell concept was applied efficiently to solve continuity equation, which is differenced 2nd-order accurate central differenced scheme. The 4th-order artificial damping is added to the continuity equation for numerical stability. A O-type of grid system is generated inside a nozzle and venturi of the jet pump. It has concluded that the results of present study properly agree with physical flow phenomena.

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Numerical algorithm with the concept of defect correction for incompressible fluid flow analysis (오차수정법을 도입한 비압축성 유체유동 해석을 위한 수치적 방법)

  • Gwon, O-Bung
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.21 no.3
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    • pp.341-349
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    • 1997
  • The characteristics of defect correction method are discussed in a sample heat conduction problem showing the numerical solution of the error correction equation can predict the error of the numerical solution of the original governing equation. A way of using defect correction method combined with the existing algorithm for the incompressible fluid flow, is proposed and subsequently tested for the driven square cavity problem. The error correction equations for the continuity equation and the momentum equations are considered to estimate the errors of the numerical solutions of the original governing equations. With this new approach, better velocity and pressure fields can be obtained by correcting the original numerical solutions using the estimated errors. These calculated errors also can be used to estimate the orders of magnitude of the errors of the original numerical solutions.

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

  • Oh, Keon-Je;Bae, Chun-Keun
    • Journal of the Korean Society of Industry Convergence
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    • v.10 no.4
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    • pp.221-226
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    • 2007
  • Viscous flow around a front end cooling fan of the car is 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. The governing equations are discretized with the Finite Volume Method. The pressure and the velocity are linked with the SIMPLE algorithm. Flow and pressure characteristics around the fan are investigated. The pressure sharply increases through the fan blade. Pressure variations on the pressure and suction sides of the fan are well represened in the calculations. The flow streamlines in the blade passage are nearly parallel to the blade, but the slope of streamlines increases near the tip.

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Computation of Water and Air Flow with Submerged Hydrofoil by Interface Capturing Method

  • Kwag, Seung-Hyun
    • Journal of Mechanical Science and Technology
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    • v.14 no.7
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    • pp.789-795
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    • 2000
  • Free-surface flows with an arbitrary deformation, induced by a submerged hydrofoil, are simulated numerically, considering two-fluid flows of both water and air. The computation is performed by a finite volume method using 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 equations 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 for two turbulence quantities. Finally, a comparison is quantitatively made at the same speed between the computation and experiment in which the grid sensitivity is numerically checked.

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Design Of Air-Distribution System in a Duct (취출구를 가진 덕트의 공기분배장치 설계)

  • Kang, Hyung-Seon;Cho, Byung-Ki;Koh, Young-Ha
    • Journal of Advanced Marine Engineering and Technology
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    • v.31 no.8
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    • pp.954-960
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    • 2007
  • The purpose of this paper is to obtain design method of air-distribution system. Air-distribution system is composed of blower, duct, diffusers and measuring equipment. The air-flow rate from each diffuser is not equal. The air-flow rate is calculated with the combined equations which are Bernoulli's equation, continuity equation and minor loss equations. Inlet condition and outlet condition are adapted in each duct system. Then square difference between function of maximum air-flow rate and minimum air-flow rate is used as an object function. Area of diffuser and velocity are established as constraints. To minimize the object function, the optimization method is used. After optimization the design variables are selected under satisfaction of constraints. The air-distribution system is calculated again with the result of optimized design variable. It is shown that the air-distribution system has the equal air-flow rate from diffusers.

Full flow analysis around a Car-like body using Chimera grid technique (Chimera 격자 기법을 이용한 Car-like body 주위의 전체 유동 해석)

  • Oh S. W.;Park W. G.
    • 한국전산유체공학회:학술대회논문집
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    • 1997.10a
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    • pp.86-91
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    • 1997
  • This paper describes analysis of complex flow around Car-like body using Chimera grid technique. As a computational algorithm, Pullboat and Chaussee's Diagonal algorithm is selected to reduce computational time. Introducing hole points flag to this Diagonal algorithm, an algorithm for Chimera grid is generated easily. This study solves 3-D unsteady incompressible Navier-Stokes equations on a non-orthogonal curvilinear coordinate system using second-order accurate schemes for the time derivatives, and third/second-order scheme for the spatial derivatives. The Marker-and-Cell concept is applied to efficiently solve continuity equation. The fourth-order artificial damping is added to the continuity equation for numerical stability, It has concluded that the results of present study properly agree with physical flow phenomena.

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Simulation of Energy Conversion Characteristics of OMACON LM-MHD Systems (OMACON형 LM-MHD 시스템에서의 에너지전환특성 시뮬레이션)

  • 김창녕
    • Journal of the Korea Society for Simulation
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    • v.6 no.2
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    • pp.1-14
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    • 1997
  • The characteristics of the flow and energy conversion in OMACON liquid-metal MHD system are investigated. Numerical simulation of two-phase flow in the OMACON system without magnetic field was carried out by the Phoenics code and the energy conversion characteristics are studied in association with the fact that the mechanical energy loss at the nozzle of the OMACON system are to be converted into electrical energy. In this system, working fluid (gas) is injected through the mixer located at the bottom of the riser, and is mixed with hot liquid metal. Therefore in the riser two-phase flow is developed under the influence of the gravity. In this study, the interaction between the gas and liquid is considered by the use of IPSA(InterPhase Slip Algorithm) where standard drag coefficient has been used. It has been assumed that in the flow regime the liquid is continuous and the gas is dispersed. For the liquid and gas, the continuity equations, momentum equations and energy equations are solved respectively in association with void fraction in the flow field. In order to calculate the energy conversion efficiency, firstly the ratio of the mechanical energy loss of liquid metal flow at the nozzle to the input thermal energy is considered. Secondly flow pattern of liquid metal in the generator has been analyzed, and the characteristics of the conversion of the mechanical energy into the electrical energy has been investigated. For an representative case where Hartmann number is 540 and magnetic field is 0.35 T, the present analysis shows that the energy conversion efficiency is 0.653. This result is considered to be reasonable in comparison with published experimental results.

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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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Valve Dynamic Analysis of a High Pressure Reciprocating Compressor (고압 왕복동 압축기의 밸브 거동해석)

  • 이안성;홍용주;정영식;변용수
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2002.05a
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    • pp.107-111
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    • 2002
  • A complex valve dynamic analysis has been performed with a high Pressure reciprocating gas compressor. Valve dynamic equations, which take into account the flow continuity and cylinder pressure fluctuation, have been derived. Flow coefficients of valves has been analyzed, using CFD models. Results have shown that both of the suction and discharge values behave favorably without any fluttering motions.

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Dynamic Stability and Response Analysis of Piping System with Internal Flow (내부에 유체가 흐르는 파이프계의 동적안정성 및 응답해석)

  • 이우식;박철희;홍성철
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.6
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    • pp.1861-1871
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    • 1991
  • In this study, the piping system conveying unsteady flow is considered. The effects of coupling between the pipe motion and the velocity and pressure of fluid are included for the dynamic stability and response analysis of the piping system. The dynamic equations for a piping system are derived by Newtonian dynamics. For the momentum and continuity equations, the concept of moving control volume is applied. Thus, the governing equations derived herein are valid for the applications to the vibration problems occurred when a piping system starts up or shuts down and also when the valves and pumps operate. For a simply supported straight pipe, the stability analysis is conducted for various nondimensional parameters. The dynamic responses, in both stable and unstable region of stability chart, are numerically tested by the use of central difference method.