• 제목/요약/키워드: Incompressible Navier Stokes Equations

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수치해석 모델링을 이용한 교차 흐름 미세유체 액적 생성 디바이스 채널 교차각이 액적 직경에 미치는 영향 (Effect of Intersection Angle of the Flow-focusing Type Droplet Generation Device Channel on Droplet Diameter by using Numerical Simulation Modeling)

  • 김상진;강형섭;양영석;김기범
    • 대한의용생체공학회:의공학회지
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    • 제36권3호
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    • pp.61-68
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    • 2015
  • In this paper, we studied the effects of intersection angles of the flow-foucusing type droplet generation device inlet channel on droplet diameter using numerical simulation modeling. We modeled different intersection angles with a fixed continuous channel width, dispersed channels width, orifices width, and expansion channels width. Numerical simulations were performed using COMSOL Multiphysics$^{(R)}$ to solve the incompressible Navier-Stokes equations for a two-phase flow in various flow-focusing geometries. Modeling results showed that an increase of the intersection angle causes an increase in the modification of the dispersed flow rate ($v^{\prime}{_d}$), and the increase of the modification of the continuous flow rate ($v^{\prime}{_c}$) obstructs the dispersed phase fluid flow, thereby reducing the droplet diameter. However, the droplet diameter did not decrease, even when the intersection angle increased. The droplet diameter decreased when the intersection angle was less than $90^{\circ}$, increased at an intersection angle of $90^{\circ}$, and decreased when the intersection angle was more than $90^{\circ}$. Furthermore, when the intermediate energy deceased, there was a decrease in the droplet diameter when the intersection angle increased. Therefore, variations in the droplet diameter can be used to change the intersection angle and fluid flow rate.

On Implementation of the Finite Difference Lattice Boltzmann Method with Internal Degree of Freedom to Edgetone

  • Kang, Ho-Keun;Kim, Eun-Ra
    • Journal of Mechanical Science and Technology
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    • 제19권11호
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    • pp.2032-2039
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    • 2005
  • The lattice Boltzman method (LBM) and the finite difference-based lattice Boltzmann method (FDLBM) are quite recent approaches for simulating fluid flow, which have been proven as valid and efficient tools in a variety of complex flow problems. They are considered attractive alternatives to conventional finite-difference schemes because they recover the Navier-Stokes equations and are computationally more stable, and easily parallelizable. However, most models of the LBM or FDLBM are for incompressible fluids because of the simplicity of the structure of the model. Although some models for compressible thermal fluids have been introduced, these models are for monatomic gases, and suffer from the instability in calculations. A lattice BGK model based on a finite difference scheme with an internal degree of freedom is employed and it is shown that a diatomic gas such as air is successfully simulated. In this research we present a 2-dimensional edge tone to predict the frequency characteristics of discrete oscillations of a jet-edge feedback cycle by the FDLBM in which any specific heat ratio $\gamma$ can be chosen freely. The jet is chosen long enough in order to guarantee the parabolic velocity profile of a jet at the outlet, and the edge is of an angle of $\alpha$=23$^{o}$. At a stand-off distance w, the edge is inserted along the centerline of the jet, and a sinuous instability wave with real frequency is assumed to be created in the vicinity of the nozzle exit and to propagate towards the downstream. We have succeeded in capturing very small pressure fluctuations resulting from periodic oscillation of the jet around the edge.

파이프 형상에 따른 내부 열유동 특성과 성능에 관한 수치해석적 연구 (Numerical Study on Flow and Heat Transfer Characteristics of Pipes with Various Shapes)

  • 박상협;김상근;하만영
    • 대한기계학회논문집B
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    • 제37권11호
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    • pp.999-1007
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    • 2013
  • 본 연구에서는 다양한 형상의 파이프에 대한 압력강하와 열전달 특성을 수치적으로 해석하였다. 원형 파이프에서부터 타원형, 톱니형, 비틀어진 형태와 같은 다양한 형상의 파이프를 3차원으로 수치해석을 통해 비교하였다. 수치해석은 층류에서 난류영역까지 계산을 수행하였다. 파이프 유동해석은 완전발달된 영역에서 정상상태, 비압축성 RANS수식을 이용하여 계산하였다. 유동의 손실은 friction factor를 통해 비교하였고, 열전달 성능은 각 파이프 표면에서의 Colburn factor를 통해 비교하였다. 종합적인 열유동 성능평가는 Volume and Area goodness factor를 통해 평가하였다. 열전달 성능을 향상시키고 유동의 손실은 최소화하는 최적의 형상을 연구하였다.

효율적인 해양구조물 유동 해석을 위한 직교좌표계 기반의 코드 개발 - AMR, VOF, IBM, VIV, LES의 통합 (Development of a Cartesian-based Code for Effective Simulation of Flow Around a Marine Structure - Integration of AMR, VOF, IBM, VIV, LES)

  • 이경준;양경수
    • 대한조선학회논문집
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    • 제51권5호
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    • pp.409-418
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    • 2014
  • Simulation of flow past a complex marine structure requires a fine resolution in the vicinity of the structure, whereas a coarse resolution is enough far away from it. Therefore, a lot of grid cells may be wasted, when a simple Cartesian grid system is used for an Immersed Boundary Method (IBM). To alleviate this problems while maintaining the Cartesian frame work, we adopted an Adaptive Mesh Refinement (AMR) scheme where the grid system dynamically and locally refines as needed. In this study, We implemented a moving IBM and an AMR technique in our basic 3D incompressible Navier-Stokes solver. A Volume Of Fluid (VOF) method was used to effectively treat the free surface, and a recently developed Lagrangian Dynamic Subgrid-scale Model (LDSM) was incorporated in the code for accurate turbulence modeling. To capture vortex induced vibration accurately, the equation for the structure movement and the governing equations for fluid flow were solved at the same time implicitly. Also, We have developed an interface by using AutoLISP, which can properly distribute marker particles for IBM, compute the geometrical information of the object, and transfer it to the solver for the main simulation. To verify our numerical methodology, our results were compared with other authors' numerical and experimental results for the benchmark problems, revealing excellent agreement. Using the verified code, we investigated the following cases. (1) simulating flow around a floating sphere. (2) simulating flow past a marine structure.

CFD를 이용한 표면 거칠기에 따른 선박의 저항 성능 추정에 관한 연구 (A Study on Predicting Ship Resistance Performance due to Surface Roughness Using CFD)

  • 석준;박종천;신명수;김성용
    • 대한조선학회논문집
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    • 제53권5호
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    • pp.400-409
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    • 2016
  • In recent, shipping companies have made an enormous effort to improve the operation of vessel in various approaches, due to recession of shipping market and increasing competition among shipping companies. One of important parameters for improving the efficiency of vessel is the resistance performance that consist of friction and residual resistance. Especially, it is recognized that the friction resistance tends to be affected by conditions of vessel’s surface and occupies approximately 70~90% of the total resistance for slow speed ships. In general, the surface of vessel is covered with various type of paint to reduce fouling and corrosion. As time goes by, however, it is so hull roughness would be increased by fouling over the wetted surface that anti-fouling paints, such as CDP(Controlled Depletion Paint), Tin-Free SPC(Self Polishing Co-polymer) or Foul Release, are applied evenly on the hull surface. Nevertheless, these anti-fouling paints could not prevent fouling absolutely. A fundamental study on evaluating ship resistance performance variation due to hull roughness has been performed using a commercial software, Star-CCM+, which solves the continuity and Navier-Stokes equations for incompressible and viscous flow. The results of present simulation for plate are compared with some experimental data available and the effect of surface roughness to ship resistance performance is discussed.

CFD에 의한 2차원 지면 효과익 주위의 난류유동계산 (Numerical Simulation of Turbulent Flow around 2-D Airfoils in Ground Effect)

  • 전호환;장용훈;신명수
    • 대한조선학회논문집
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    • 제39권3호
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    • pp.28-40
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    • 2002
  • 지면효과를 받는 2차원 날개 주위의 난류유동을 비압축성 RANS(Reynolds Averaged Navier Stokes) 방정식과 유한차분법(Finite Difference Method)을 이용하여 해석하였다. 높은 레이놀즈수에 효과적인 Baldwin-Lomax 난류모델을 사용하였다. 본 연구의 목적은 지면효과를 받는 2차원 날개단면에서의 각기 다른 두 바닥 경계조건(이동지면, 고정지면)에 따른 유동의 특성을 파악하는 것이다. Clark-Y(t/C 11.7%)날개단면의 계산 결과와 발표된 계산결과 및 실험 값과의 비교를 통해 본 수치해석 프로그램의 정확성을 검증하였다. NACA4412 날개단면에 대해 지면과의 높이변화에 대해서 두 바닥 경계조건에 대해서 유동해석을 수행하였다 계산결과에 의하면 이동지면과 고정지면에 대해서 양력과 모멘트는 별 차이가 없으나 항력은 고정지면의 경우가 이동지면의 경우보다 다소 작았다. 따라서 풍동시험에서 고정지면의 결과는 이동지면에 비해 상대적으로 저항이 낮게 평가될 가능성이 있다고 본다.

Prediction of the turning and zig-zag maneuvering performance of a surface combatant with URANS

  • Duman, Suleyman;Bal, Sakir
    • Ocean Systems Engineering
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    • 제7권4호
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    • pp.435-460
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    • 2017
  • The main objective of this study is to investigate the turning and zig-zag maneuvering performance of the well-known naval surface combatant DTMB (David Taylor Model Basin) 5415 hull with URANS (Unsteady Reynolds-averaged Navier-Stokes) method. Numerical simulations of static drift tests have been performed by a commercial RANS solver based on a finite volume method (FVM) in an unsteady manner. The fluid flow is considered as 3-D, incompressible and fully turbulent. Hydrodynamic analyses have been carried out for a fixed Froude number 0.28. During the analyses, the free surface effects have been taken into account using VOF (Volume of Fluid) method and the hull is considered as fixed. First, the code has been validated with the available experimental data in literature. After validation, static drift, static rudder and drift and rudder tests have been simulated. The forces and moments acting on the hull have been computed with URANS approach. Numerical results have been applied to determine the hydrodynamic maneuvering coefficients, such as, velocity terms and rudder terms. The acceleration, angular velocity and cross-coupled terms have been taken from the available experimental data. A computer program has been developed to apply a fast maneuvering simulation technique. Abkowitz's non-linear mathematical model has been used to calculate the forces and moment acting on the hull during the maneuvering motion. Euler method on the other hand has been applied to solve the simultaneous differential equations. Turning and zig-zag maneuvering simulations have been carried out and the maneuvering characteristics have been determined and the numerical simulation results have been compared with the available data in literature. In addition, viscous effects have been investigated using Eulerian approach for several static drift cases.

전진비가 추진기 후류에 미치는 영향 (Effect of the Advance Ratio on the Evolution of Propeller Wake)

  • 백동근;윤현식;정재환;김기섭;백부근
    • 대한조선학회논문집
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    • 제51권1호
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    • pp.1-7
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    • 2014
  • The present study numerically investigated the effect of the advance ratio on the wake characteristics of the marine propeller in the propeller open water test. Therefore, a wide range of the advance ratio(0.2${\kappa}-{\omega}$SST Model are considered. The three-dimensional vortical structures of tip vortices are visualized by the swirl strength, resulting in fast decay of the tip vortices with increasing the advance ratio. Furthermore, to better understanding of the wake evolution, the contraction ratio of the slip stream for different advance ratios is extracted from the velocity fields. Consequently, the slip stream contraction ratio decreases with increasing the advance ratio and successively the difference of the slip stream contraction ratio between J=0.2 and J=0.8 is about 0.1R.

Optimization of a Single-Channel Pump Impeller for Wastewater Treatment

  • Kim, Joon-Hyung;Cho, Bo-Min;Kim, Youn-Sung;Choi, Young-Seok;Kim, Kwang-Yong;Kim, Jin-Hyuk;Cho, Yong
    • International Journal of Fluid Machinery and Systems
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    • 제9권4호
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    • pp.370-381
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    • 2016
  • As a single-channel pump is used for wastewater treatment, this particular pump type can prevent performance reduction or damage caused by foreign substances. However, the design methods for single-channel pumps are different and more difficult than those for general pumps. In this study, a design optimization method to improve the hydrodynamic performance of a single-channel pump impeller is implemented. Numerical analysis was carried out by solving three-dimensional steady-state incompressible Reynolds-averaged Navier-Stokes equations using the shear stress transport turbulence model. As a state-of-the-art impeller design method, two design variables related to controlling the internal cross-sectional flow area of a single-channel pump impeller were selected for optimization. Efficiency was used as the objective function and was numerically assessed at twelve design points selected by Latin hypercube sampling in the design space. An optimization process based on a radial basis neural network model was conducted systematically, and the performance of the optimum model was finally evaluated through an experimental test. Consequently, the optimum model showed improved performance compared with the base model, and the unstable flow components previously observed in the base model were suppressed remarkably well.

Mean flow characteristics of two-dimensional wings in ground effect

  • Jung, Jae-Hwan;Yoon, Hyun-Sik;Chun, Ho-Hwan;Hung, Pham Anh;Elsamni, Osama Ahmed
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제4권2호
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    • pp.151-161
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    • 2012
  • The present study numerically investigates the aerodynamic characteristics of two-dimensional wings in the vicinity of the ground by solving two-dimensional steady incompressible Navier-Stokes equations with the turbulence closure model of the realizable k-${\varepsilon}$ model. Numerical simulations are performed at a wide range of the normalized ground clearance by the chord length ($0.1{\leq}h/C{\leq}1.25$) for the angles of attack ($0^{\circ}{\leq}{\alpha}{\leq}10^{\circ}$) in the prestall regime at a Reynolds number (Re) of $2{\times}10^6$ based on free stream velocity $U_{\infty}$ and the chord length. As the physical model of this study, a cambered airfoil of NACA 4406 has been selected by a performance test for various airfoils. The maximum lift-to-drag ratio is achieved at ${\alpha}=4^{\circ}$ and h / C = 0.1. Under the conditions of ${\alpha}=4^{\circ}$ and h / C = 0.1, the effect of the Reynolds number on the aerodynamic characteristics of NACA 4406 is investigated in the range of $2{\times}10^5{\leq}Re{\leq}2{\times}10^9$. As Re increases, $C_l$ and $C_d$ augments and decreases, respectively, and the lift-to-drag ratio increases linearly.