• 제목/요약/키워드: Momentum Equation

검색결과 358건 처리시간 0.022초

Fractional-Step법을 이용한 비압축성 비정상 Navier-Stokes 방정식의 유한 요소해석 (Finite Element Analysis of Incompressible Transient Navier-Stokes Equation using Fractional-Step Methods)

  • 김형민;이신표
    • 대한기계학회논문집B
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    • 제27권4호
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    • pp.458-465
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    • 2003
  • The main objective of the research is to develop a research code solving transient incompressible Navier-Stokes equation. In this research code, Adams-Bashforth method was applied to the convective terms of the navier stokes equation and the splitted equations were discretized spatially by finite element methods to solve the complex geometry problems easily. To reduce the divergence on the boundaries of pressure poisson equation due to the unsuitable pressure boundary conditions, multi step approximation pressure boundary conditions derived from the boundary linear momentum equations were used. Simulations of Lid Driven Flow and Flow over Cylinder were conducted to prove the accuracy by means of the comparison with results of the previous workers.

Numerical simulation of cavitating flow past cylinders

  • Park, Warn-Gyu;Koo, Tae-Kyoung;Jung, Chul-Min;Lee, Kurn-Chul
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년 추계학술대회논문집
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    • pp.327-333
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    • 2008
  • The cavitating flow simulation is of practical importance for many engineering systems, such as marine propellers, pump impellers, nozzles, injectors, torpedoes, etc. The present work has developed a base code for simulating cavitating flows past cylinders and hydrofoils. The governing equation is the Navier-Stokes equation based on homogeneous mixture model. The momentum and energy equation is in the mixture phase while the continuity equation is solved in liquid and vapor phase, separately. The solver employs an implicit preconditioning algorithm in curvilinear coordinates. The computations have been carried out for the cylinders with spherical, 1- and 0-caliber forebody and hydrofoil of ALE and NACA cross-section and, then, compared with experiments and other numerical results. Fairly good agreements with experiments and numerical results have been achieved. The present base code has shown the feasibility to solve the cavitating flow past supercavitating torpedo after the improvement for compressibility effects and interactions with hot exhaust gas of propulsive rocket.

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Ogive-Cylinder 주위와 Venturi에서의 캐비테이션 전산 유동해석 (NUMERICAL ANALYSIS OF CAVITATION FLOW AROUND OGIVE-CYLINDER AND VENTURI)

  • 이장춘;안보경;김동훈;김찬기;박원규
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2007년도 춘계 학술대회논문집
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    • pp.130-133
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    • 2007
  • A two-phase method in CFD has been developed and is applied to model the cavitation flow. The governing equation system is two-phase Navier-Stokes equation, comprised of the mixture mass, momentum and liquid-phase mass equation. It employs an implicite, dual time, preconditioned algorithm using finite difference scheme in curvilineal coordinates and Chien ${\kappa}-{\varepsilon}$ turbulence equation. The experimental cavitating flows around ogive-cylinder and venturi type objects are employed to test the solver. To prove the capabilities of the solver, several three-dimentional examples are presented.

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모멘텀 슬래밍을 고려한 선체 운동 및 파랑하중 해석 (Numerical Analysis of Ship Motions and Wave Loads Including Momentum Slamming)

  • 황지희;박인규;구원철
    • 대한조선학회논문집
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    • 제49권2호
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    • pp.109-115
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    • 2012
  • Slamming phenomenon may occur when a ship navigates a high sea region, where the response of ship can be expected as elastic behaviour and the resultant wave loads may increase. In this paper, numerical analysis of ship motions and wave loads including momentum slamming was performed using the strip theory with regular waves. In order to analyze the effect of slamming force on the global ship motions, time histories of each mode of displacement and forces were simulated by using Newmark-beta time integration scheme. The added mass and damping coefficients calculated by Lewis form method were compared with the results of given references. For verification of numerical results, the motion RAOs of a S175 containership were calculated as an example of application and time histories of respective displacement and vertical bending moment were compared with the results of ITTC workshop benchmark test.

가상 경계 방법을 이용한 유동 해석 기법에 관한 기초 연구 (The Basic Study on the Technique of Fluid Flow Analysis Using the Immersed Boundary Method)

  • 양승호;하만영;박일룡
    • 대한기계학회논문집B
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    • 제28권6호
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    • pp.619-627
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    • 2004
  • In most industrial applications, the geometrical complexity is combined with the moving boundaries. These problems considerably increase the computational difficulties since they require, respectively, regeneration and deformation of the grid. As a result, engineering flow simulation is restricted. In order to solve this kind of problems the immersed boundary method was developed. In this study, the immersed boundary method is applied to the numerical simulation of stationary, rotating and oscillating cylinders in the 2-dimensional square cavity. No-slip velocity boundary conditions are given by imposing feedback forcing term to the momentum equation. Besides, this technique is used with a second-order accurate interpolation scheme in order to improve the accuracy of flow near the immersed boundaries. The governing equations for the mass and momentum using the immersed boundary method are discretized on the non-staggered grid by using the finite volume method. The results agree well with previous numerical and experimental results. This study presents the possibility of the immersed boundary method to apply to the complex flow experienced in the industrial applications. The usefulness of this method will be confirmed when we solve the complex geometries and moving bodies.

가상 경계 방법을 이용한 정지, 회전 및 진동하는 실린더의 유동 특성에 관한 연구 (The study of the characteristics of the stationary, rotating and oscillating cylinders using the immersed boundary method)

  • 양승호;하만영;박일룡
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.916-921
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    • 2003
  • In most industrial applications, the geometrical complexity is combined with the moving boundaries. These problems considerably increase the computational difficulties since they require, respectively, regeneration and deformation of the grid. As a result, engineering flow simulation is restricted. In order to solve this kind of problems the immersed boundary method was developed. In this study, the immersed boundary method is applied to the numerical simulation of stationary, rotating and oscillating cylinders in the 2-dimensional square cavity. No-slip velocity boundary conditions are given by imposing feedback forcing term to the momentum equation. Besides, this technique is used with a second-order accurate interpolation scheme in order to improve the accuracy of flow near the immersed boundaries. The governing equations for the mass and momentum using the immersed boundary method are discretized on the non-staggered grid by using the finite volume method(FVM). This study presents the possibility of the immersed boundary method to apply to the complex flow experienced in the industrial applications.

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Thrust Characteristics and Nozzle Role of Water Jet Propulsion

  • Ni, Yongyan;Liu, Weimin;Shen, Zhanhao;Pan, Xiwei
    • International Journal of Fluid Machinery and Systems
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    • 제10권1호
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    • pp.47-53
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    • 2017
  • Surface pressure integration and momentum method were respectively performed to evaluate the impeller thrust and the system thrust of a contra-rotating axial flow water jet propulsion, and an interesting phenomenon so-called thrust paradox was revealed. To explain the paradox, the impeller thrust and the system thrust were physically and theoretically analyzed, the results show that the impeller thrust is head involved and is determined by the hydraulic parameters upstream and downstream the impeller, while the momentum method depicted by a classic equation is valid simply under the best efficiency point. Consequently, the role of a water jet propulsion nozzle was deduced that the nozzle is mainly to limit the flow rate that crosses the impeller and to assure the system working under the best efficiency condition apart from its ability to produce momentum difference. Related mathematical formula expressed the nozzle diameter is the dominant variable used to calculate the working condition of the water jet propulsion. Therefore the nozzle diameter can be steadily estimated by the former expression. The system thrust scaling characteristics under various speeds were displayed lastly.

가압경수형 원자력발전소의 과도현상 모의코드 개발 (Development of Transient Simulation Code for Pressurized Water Reactors)

  • Auh, Geun-Sun;Ko, Chang-Seog;Lee, Sung-Jae;Hwang, Dae-Hyun;Kim, Dong-Su;Chae, Sung-Ki
    • Nuclear Engineering and Technology
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    • 제19권3호
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    • pp.198-204
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    • 1987
  • 발전소 과도현상과 비냉각재 상실사고를 모의할 수 있는 가압경수로발전소 모의코드 MCSIM을 개발하였다. 원자로 냉각재계통은 에너지 방정식과 운동량 방정식을 분리 취급하면서 Drift Flux 2상 유동모델, 적분 운동량 방정식 등을 사용하여 모델링하였다. 증기발생기의 모사는 Pot Boiler 모델을 사용하였고, 2차계통을 위해서는 분리 취급된 정상상태 에너지 방정식과 운동량방정식을 핵출력 계산을 위해서는 점 동특성 방정식을 사용하였다. 현재의 코드성능을 시험하기 위해 완전 냉각재 유동상실사고와 제어봉 집합체 인출 사고를 계산하여 그 결과를 원자력 5/6호기 최종 안전 보고서의 결과와 비교하였다.

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Analysis of colliding index on impact behavior of RC columns under repeated impact loading

  • Tantrapongsaton, Warakorn;Hansapinyo, Chayanon;Wongmatar, Piyapong;Limkatanyu, Suchart;Zhang, Hexin;Charatpangoon, Bhuddarak
    • Computers and Concrete
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    • 제30권1호
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    • pp.19-32
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    • 2022
  • This paper presents an investigation into the failure of RC columns under impact loadings. A numerical simulation of 19 identical RC columns subjected to single and repeated impact loadings was performed. A free-falling hammer was dropped at midspan with the same total kinetic energy input but varying mass and momentum. The specimens under the repeated impact test were struck two times at the same location. The colliding index, defined as the impact energy-momentum ratio, was proposed to explain the different impact responses under equal-energy impacts. The increase of colliding index from low to high indicates the transition of the impact response from static to dynamic and failure mode from flexure to shear. This phenomenon was more evident when the column had a greater axial load and was impacted with a high colliding index. The existence of the axial load had an inhibitory effect on the crack development and increased the shear resistance. The second impact changes the failure mode from flexural to brittle shear as found in the specimen with 20% axial load subjected to high a colliding index. Moreover, a deflection prediction equation based on the impact energy and force was limited to the low colliding index impact.

베인 형태에 따른 하상세굴 저감 효과에 관한 연구 (The Study for Reduction Effect of Riverbed Scour due to Shape of Vanes)

  • 노해민;이호진;김성덕
    • 한국방재안전학회논문집
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    • 제16권2호
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    • pp.57-63
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    • 2023
  • 기후변화로 인하여 발생하는 집중호우와 슈퍼태풍은 우리나라에서 많은 피해를 야기한다. 이러한 피해를 저감하기 위해서 다양한 형태의 하천정비사업이 추진되고 있으나, 홍수기와 갈수기가 뚜렷한 우리나라에서는 하천 균형을 유지하기가 어렵다. 특히, 하천정비 사업으로 설치된 하천구조물은 홍수기에 구조물 및 그 기초의 세굴이 발생되고 하상 변화 등 다양한 문제를 일으키고 있다. 이러한 하상세굴을 저감하기 위하여 하천의 만곡부에 다양한 베인이 많이 설치되며, 베인의 배치와 크기, 모양에 따라서 다양한 하상세굴 저감 효과가 나타난다. 베인은 원심력에 의해 발생하는 2차 흐름과 반대 방향으로 2차 흐름을 다시 생성함으로써 외측 하상 주변의 세굴이 감소하고 퇴적이 촉진된다. 본 연구의 이론은 질량보존법칙을 만족하는 연속방정식과 운동량 보존을 만족하는 운동량방정식을 적용한 지배방정식을 이용하고, 다양한 조건 하에서 베인의 영향을 조사하기 위해 설계 요인에 따라 전체 평균 유속 변화율을 측정한다. 사다리꼴 베인과 사각형 베인 모두에서 평균유속과 횡단면 유속이 모두 감소하였고, 이는 베인 설치로 인해서 원심력을 갖고 유하하는 하천유속이 방해를 받아 유속이 저감되기 때문이다. 또한, 하천흐름 방향에 수직으로 또는 경사적으로 설치된 베인은 원심력에 의해 발생하는 2차흐름의 역방향으로 2차흐름을 발생시켜 원심력 2차흐름의 상쇄를 나타내기 때문에 베인의 효과가 나타난다.