• 제목/요약/키워드: Momentum Equation

검색결과 358건 처리시간 0.021초

스파이럴형 풍력터빈 블레이드의 설계 및 공력특성에 관한 연구 (A study on design and aerodynamic characteristics of a spiral-type wind turbine blade)

  • 여건;리치앙;김윤기;김경천
    • 한국가시화정보학회지
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    • 제10권1호
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    • pp.27-33
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    • 2012
  • This paper describes a new design of small-scale horizontal wind blade, called spiral wind turbine blade. Theoretical and numerical approaches on the prediction of aerodynamic performance of the blade have been conducted. A theoretical equation is successfully derived using the angular momentum equation to predict aerodynamic characteristics according to the design shape parameters of spiral blade. To be compared with the theoretical value, a numerical simulation using ANSYS CFX v12.1 is performed on the same design with the theoretical one. Large scale tip vortex is captured and graphically presented in this paper. The TSR-$C_p$ diagram shows a typical parabolic relation in which the maximum efficiency of the blade approximately 25% exists at TSR=2.5. The numerical simulation agrees well with that of the theoretical result except at the low rotational speed region of 0~20 rad/s.

순 산소 연소기 개발을 위한 노즐직경변화에 따른 화염길이 특성 (Flame Length Characteristic for Varying Nozzle Diameter to Develop Oxy-Fuel Combustor)

  • 김호근;김용모
    • 대한기계학회논문집B
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    • 제29권7호
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    • pp.861-867
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    • 2005
  • In order to develop oxy-fuel combustor, the Flame length characteristic of $CH_4$ with oxidizer of air and oxygen has been experimentally investigated for tile nozzle diameters of 1.6mm, 2.7mm, 4.4mm and 7.7mm. The structure of $CH_4$ flame with oxidizer of oxygen was sharp in contrast with the $CH_4$ flame with oxidizer of air. The stability of $CH_4$ flame with oxidizer of oxygen was higher than $CH_4$ flame with oxidizer of air. In all $CH_4$ flames with oxidizer of air and oxygen, the flame length were dependent on the flowrate in laminar flame regime, and in turbulent flame dependent on the initial jet diameter. Using correlation equation of Delichatsios, the flame length has been expected exactly for $CH_4$ flame with oxidizer of air, but underestimated for $CH_4$ flame with oxidizer of oxygen. This paper proposed correlation equation of $CH_4$ flame with oxidizer of oxygen.

고온, 고속기류 중에 수직 분사되는 연료제트의 분무 및 연소특성 (Characteristics of the Spray and Combustion in the Liquid Jet)

  • 윤현진;이근선;이충원
    • 한국분무공학회지
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    • 제7권3호
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    • pp.12-17
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    • 2002
  • In this paper, spray and combustion characteristics of a liquid-fueled ramjet engine were experimentally investigated. The spray penetrations were measured to clarify the spray characteristics of a liguid jet injected transversely into the subsonic vitiated airstream, which is maintained a high velocity and temperature. The spray penetrations are increased with decreasing airstream velocity, increasing airstream temperature, and increasing air-fuel momentum ratio. To compensate our results of penetrations, the new experimental equation were modified from Inamura's equation. In the case of insufficient penetration, the combustion phenomenon in ram-combustor were unstable. Therefore, the temperature distribution was slanted to the low wall of the ram-combustor. These trends gradually disappeared as the length and air temperature of the combustor became longer. Combustion efficiency increased when the length of the combustor was long and the air temperature was high. Especially, stable flame region is enlarged when the length of the combustor was long and the air temperature was high. Type Abstract here. Type Abstract here.

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Spray Combustion Simulation in Transverse Injecting Configurations

  • Yi, Yoon-Yong;Roh, Tae-Seong
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2004년도 제22회 춘계학술대회논문집
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    • pp.186-191
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    • 2004
  • The reactive flowfield of the transverse injecting combustor has been studied using Euler-Lagrange method in order to develop an efficient solution procedure for the understanding of liquid spray combustion in the transverse injecting combustor which has been widely used in ramjets and turbojet afterburners. The unsteady two-dimensional gas-phase equations have been represented in Eulerian coordinates and the liquid-phase equations have been formulated in Lagrangian coordinates. The gas-phase equations based on the conservation of mass, momentum, and energy have been supplemented by combustion. The vaporization model takes into account the transient effects associated with the droplet heating and the liquid-phase internal circulation. The droplet trajectories have been determined by the integration of the Lagrangian equation in the flow field obtained from the separate calculation without considering the iterative effect between liquid and gas phases. The reported droplet trajectories had been found to deviate from the initial conical path toward the flow direction in the very end of its lifetime when the droplet size had become small due to evaporation. The integration scheme has been based on the TEACH algorithm for gas-phase equation, the second order Runge-Kutta method for liquid-phase equations and the linear interpolation between the two coordinate systems. The calculation results has shown that the characteristics of the droplet penetration and recirculation have been strongly influenced by the interaction between gas and liquid phases in such a way that most of the vaporization process has been confined to the wake region of the injector, thereby improving the flame stabilization properties of the flowfield.

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급변만곡부에서 종방향 유속의 연직분포 (The Vertical Distribution of Longitudinal Velocity in Sharp Open Channel Bends)

  • 이길성;김태원;박재현
    • 한국수자원학회논문집
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    • 제39권12호
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    • pp.1023-1030
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    • 2006
  • 종방향 유속의 특성을 파악하기 위해서 중심각이 $180^{\circ}$인 순환수로에서 실험을 수행하였으며, 3차원 유속장 측정은 측방 음파 도플러 유속계를 이용하였다. 기존의 종방향 유속식들의 단점들을 검토하였다. 종방향 운동 방정식에 와점성 개념을 도입하여 새로운 종방향 유속의 연직분포 식을 개발하였다. 종방향 유속의 연직분포들을 비교한 결과 잘 일치함을 보여주고 있으며, 곡선수로에서 곡률의 변화는 종방향 유속의 연직분포 변화 및 최대 유속 발생 지점에 영향을 미치는 것을 발견하였다.

기준 좌표계에 따른 탄성체의 일반화 파랑 하중 및 응답에 대한 연구 (Investigation on the Generalized Hydrodynamic Force and Response of a Flexible Body at Different Reference Coordinate System)

  • 허경욱;최윤락
    • 대한조선학회논문집
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    • 제58권6호
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    • pp.348-357
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    • 2021
  • In this paper, the generalized hydrodynamic force and response of a flexible body are calculated at different reference coordinate systems. We generalize the equation of motion for a flexible body by using the conservation of momentum (Mei et al., 2005). To obtain the equations in the generalized mode, two different reference coordinates are adopted. The first is the body-fixed coordinate system by a rigid body motion. The other is the inertial coordinate system which has been adopted for the analysis. Using the perturbation scheme in the weakly-nonlinear assumption, the equations of motion are expanded up to second-order quantities and several second-order forces are obtained. Numerical tests are conducted for the flexible barge model in head waves and the vertical bending is only considered in the hydroelastic responses. The results show that the linear response does not have the difference between the two formulations. On the other hand, second-order quantities have different values for which the rigid body motion is relatively large. However, the total summation of second-order quantities has not shown a large difference at each reference coordinate system.

기하학적 보존을 만족하는 최소제곱법을 활용한 무격자 구조해석 기법 개발 (Development of Meshless Method Using Least-Squares Method with Geometric Conservation Law for Structural Dynamic Analysis)

  • 이상우;허진영;김규홍
    • 한국전산구조공학회논문집
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    • 제36권1호
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    • pp.67-74
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    • 2023
  • A meshless technique using the geometric conservation least-squares method (GC-LSM) was devised to discretize the governing equation of linear elasticity. Although the finite-element method is widely used for structural analysis, a meshless method was developed because of its advantages in a moving grid system. This work is the preliminary phase for developing a fully meshless-based fluid-structure interaction solver. In this study, Cauchy's momentum equation was discretized in strong form using GC-LSM for the structural domain, and the Newmark beta method was used for time integration. The solver was validated in 1D, 2D, and 3D benchmarking problems. Static and dynamic results were obtained. The results are more accurate than those of analytic solutions.

An enhanced incompressible SPH method for simulation of fluid flow interactions with saturated/unsaturated porous media of variable porosity

  • Shimizu, Yuma;Khayyer, Abbas;Gotoh, Hitoshi
    • Ocean Systems Engineering
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    • 제12권1호
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    • pp.63-86
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    • 2022
  • A refined projection-based purely Lagrangian meshfree method is presented towards reliable numerical analysis of fluid flow interactions with saturated/unsaturated porous media of uniform/spatially-varying porosities. The governing equations are reformulated on the basis of two-phase mixture theory with incorporation of volume fraction. These principal equations of mixture are discretized in the context of Incompressible SPH (Smoothed Particle Hydrodynamics) method. Associated with the consideration of governing equations of mixture, a new term arises in the source term of PPE (Poisson Pressure Equation), resulting in modified source term. The linear and nonlinear force terms are included in momentum equation to represent the resistance from porous media. Volume increase of fluid particles are taken into consideration on account of the presence of porous media, and hence multi-resolution ISPH framework is also incorporated. The stability and accuracy of the proposed method are thoroughly examined by reproducing several numerical examples including the interactions between fluid flow and saturated/unsaturated porous media of uniform/spatially-varying porosities. The method shows continuous pressure field, smooth variations of particle volumes and regular distributions of particles at the interface between fluid and porous media.

비정렬격자 SIMPLE 알고리즘기반 이상유동 수치해석 기법 (NUMERICAL METHOD FOR TWO-PHASE FLOW ANALYSIS USING SIMPLE-ALGORITHM ON AN UNSTRUCTURED MESH)

  • 김종태;박익규;조형규;김경두;정재준
    • 한국전산유체공학회지
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    • 제13권4호
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    • pp.86-95
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    • 2008
  • For analyses of multi-phase flows in a water-cooled nuclear power plant, a three-dimensional SIMPLE-algorithm based hydrodynamic solver CUPID-S has been developed. As governing equations, it adopts a two-fluid three-field model for the two-phase flows. The three fields represent a continuous liquid, a dispersed droplets, and a vapour field. The governing equations are discretized by a finite volume method on an unstructured grid to handle the geometrical complexity of the nuclear reactors. The phasic momentum equations are coupled and solved with a sparse block Gauss-Seidel matrix solver to increase a numerical stability. The pressure correction equation derived by summing the phasic volume fraction equations is applied on the unstructured mesh in the context of a cell-centered co-located scheme. This paper presents the numerical method and the preliminary results of the calculations.

사운딩로켓의 고도 극대화를 위한 최적조건 (Optimal Conditions for Maximizing Altitude of Sounding Rocket)

  • 이상현
    • 한국추진공학회지
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    • 제16권3호
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    • pp.41-48
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    • 2012
  • 사운딩로켓의 고도 극대화를 위한 최적의 분사조건을 결정하기 위한 연구를 수행하였다. 공력저항을 고려한 단순화된 1차원 모멘텀 방정식의 거동을 조사하였다. 해석적 해가 존재하는 경우와 분사 유량이 일정한 경우에 대해 계산을 수행하였으며, 해는 수치 해와 비교하였다. 사운딩로켓의 고도를 최대로 하는 최적의 분사조건이 존재하며, 최적조건은 로켓의 질량비의 함수임을 보였다.