• Title/Summary/Keyword: Momentum equation

Search Result 358, Processing Time 0.023 seconds

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

  • Kim, Hyung-Min;Lee, Shin-Pyo
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.27 no.4
    • /
    • pp.458-465
    • /
    • 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
    • /
    • 2008.10a
    • /
    • pp.327-333
    • /
    • 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.

  • PDF

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

  • Lee, J.C.;Ahn, B.K.;Kim, D.H.;Kim, C.K.;Park, W.G.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2007.04a
    • /
    • pp.130-133
    • /
    • 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.

  • PDF

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

  • Hwang, Ji-Hee;Park, In-Kyu;Koo, Weon-Cheol
    • Journal of the Society of Naval Architects of Korea
    • /
    • v.49 no.2
    • /
    • pp.109-115
    • /
    • 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.

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

  • Yang, Seung-Ho;Ha, Man-Yeong;Park, Il-Ryong
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.28 no.6
    • /
    • pp.619-627
    • /
    • 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.

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

  • Yang, Seung-Ho;Ha, Man-Yeong;Park, Il-Ryong
    • Proceedings of the KSME Conference
    • /
    • 2003.11a
    • /
    • pp.916-921
    • /
    • 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.

  • PDF

Thrust Characteristics and Nozzle Role of Water Jet Propulsion

  • Ni, Yongyan;Liu, Weimin;Shen, Zhanhao;Pan, Xiwei
    • International Journal of Fluid Machinery and Systems
    • /
    • v.10 no.1
    • /
    • pp.47-53
    • /
    • 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.

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

  • Auh, Geun-Sun;Ko, Chang-Seog;Lee, Sung-Jae;Hwang, Dae-Hyun;Kim, Dong-Su;Chae, Sung-Ki
    • Nuclear Engineering and Technology
    • /
    • v.19 no.3
    • /
    • pp.198-204
    • /
    • 1987
  • A plant simulation code, MCSIM (Micro-Computer SIMulator), has been developed to simulate plant transient accidents for pressurized water reactors. Reactor coolant system is modeled using decoupled energy and momentum equations, drift flux two-phase flow model and integral momentum equation. A two-fluid pressurizer model is used to simulate the pressurizer dynamics. Pot Boiler model is used for steam generator, steady-state decoupled energy and momentum equations for secondary side system, and point kinetics equations for nuclear power calculation. For test of the present version of MCSIM, complete loss of flow and RCCA withdrawal accidents are calculated with MCSIM. The results are compared with those in FSAR of KNU 5 & 6.

  • PDF

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
    • /
    • v.30 no.1
    • /
    • pp.19-32
    • /
    • 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.

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

  • Hae Min Noh;Ho Jin Lee;Sung Duk Kim
    • Journal of Korean Society of Disaster and Security
    • /
    • v.16 no.2
    • /
    • pp.57-63
    • /
    • 2023
  • Recently, Heavy rains and super typhoons occurred by climate change cause a lot of damage in Korea. In order to reduce such damage, various types of river maintenance projects are being promoted, but it is difficult to maintain the balance of rivers in Korea with distinct flood and dry seasons. In particular, river structures installed as a river maintenance project cause various problems such as scouring of structures and their foundations during floods and river bed changes. In order to reduce such bed scour, various vanes are installed in the bend of the river, and various bed scour reduction effects appear depending on the size, arrangement, and shape of the vanes. The vane regenerates the secondary flow in the opposite direction to the secondary flow generated by the centrifugal force, thereby reducing scour around the outer bed and promoting deposition. The theory of this study uses the governing equation applying the continuity equation that satisfies the law of conservation of mass and the momentum equation that satisfies the conservation of momentum, and measures the overall average flow velocity change rate according to design factors to investigate the effect of vanes under various conditions. Both the average and cross-sectional flow velocities decreased in both the trapezoidal vane and the square vane. In addition, vanes installed perpendicularly or inclined to the direction of river flow generate a secondary flow in the opposite direction to the secondary flow generated by centrifugal force, thereby canceling the secondary flow of centrifugal force, so the effect of the vane appears.