• Title/Summary/Keyword: Momentum theory

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Design of 5kW-class Horizontal Axis Wind Turbine using In-house Code POSEIDON (In-house 코드 POSEIDON을 이용한 5kW급 수평축 풍력발전용 로터 블레이드 형상설계)

  • Kim, Ki-Pyoung;Kim, Ill-Soo;Choi, Young-Do;Lee, Young-Ho
    • 한국신재생에너지학회:학술대회논문집
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    • 2009.11a
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    • pp.492-492
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    • 2009
  • Nowadays in Republic of Korea, there is no distinct reference for the related design technology of rotor blade of wind turbine. Therefore the optimum design and evaluation of performance is carried out with foreign commercial code softwares. This paper shows in-house code software that evaluates the aerodynamic design of wind turbine rotor blade using blade element-momentum theory (BEMT) and processes that is applied through various aerodynamics theories such as momentum theory, blade element theory, prandtl's tip loss theory and strip theory. This paper presents the results of the numerical analysis such as distribution of aerodynamic properties and performance curves using in-house code POSEIDON.

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Navier-Stokes Simulation of Unsteady Rotor-Airframe Interaction with Momentum Source Method

  • Kim, Young-Hwa;Park, Seung-O
    • International Journal of Aeronautical and Space Sciences
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    • v.10 no.2
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    • pp.125-133
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    • 2009
  • To numerically simulate aerodynamics of rotor-airframe interaction in a rigorous manner, we need to solve the Navier-Stokes system for a rotor-airframe combination as a whole. This often imposes a serious computational burden since rotating blades and a stationary body have to be simultaneously dealt with. An efficient alternative is to adopt a momentum source method in which the action of rotor is approximated as momentum source over a rotor disc plane in a stationary computational domain. This makes the simulation much simpler. For unsteady simulation, the instantaneous momentum sources are assigned only to a portion of disk plane corresponding to blade passage. The momentum source is obtained by using blade element theory with dynamic inflow model. Computations are carried out for the simple rotor-airframe model (the Georgia Tech model) and the results of the simulation are compared with those of the full Navier-Stokes simulation with moving mesh system for rotor and with experimental data. It is shown that the present simulation yields results as good as those of the full Navier-Stokes simulation.

Improved Momentum Exchange Theory for Incompressible Regenerative Turbomachines (I) - Hydraulic Model - (비압축성 재생형 기계에 대한 개선된 운동량 교환 이론 (I) - 수력학적 모델 -)

  • Park Mu Ryong;Chung Myung Kyoon;Yoo Il Su
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.10
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    • pp.1238-1246
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    • 2004
  • Momentum exchange theory has been generally used for an analysis of the regenerative turbomachines due to its direct description of the complicate circulatory flow. However, because its application is limited only to linear region and its model equations are incomplete on three variables, it needs further refinements. In the present study it is improved by introducing a central pivot of circulatory flow. Also, by assuming linear circulatory velocity distribution, mean radii of inlet and outlet flows through the impeller are newly suggested. By applying control volume analysis to both linear region and the acceleration region, the governing equation on the circulatory velocity is derived. As a result, systematic performance analysis on the entire region of the incompressible regenerative turbomachines can be carried out based on the proposed model equations.

Mass and Heat Transfer Characteristics of Vertical Flat Plate with Free Convection

  • Kim Myoung- Jun
    • Journal of Advanced Marine Engineering and Technology
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    • v.29 no.7
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    • pp.729-735
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    • 2005
  • This paper has dealt with the characteristics of mass and heat transfer of vertical flat plate with free convection. The theory of similarity transformations applied to the momentum and energy equations for free convection. To derive the similarity equation of mass transfer. the equation for conservation of species was added to the continuity. momentum and energy equations. The momentum, energy and species equations set numerically to obtain the velocity, temperature and mass fraction of species as dimensionless. For cases where momentum transport dominates, the thermal boundary layers are shorter than the momentum boundary layer. The relationships between momentum, energy and species were clarified from this study.

Study on Improved Loss Model for Incompressible Regenerative Turbomachines (비압축성 재생형 기계의 손 실 모델 개선에 관한 연구)

  • Choi, Won-Chul;Yoo, Il-Su;Chung, Myung-Kyoon
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03b
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    • pp.341-344
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    • 2008
  • The complicated helical flow formed in the regenerative turbomachines is usually decomposed into a peripheral component and a circulatory component. On the basis of the momentum exchange theory, the circulatory flow plays a critical role of imparting angular momentum to the peripheral flow. Therefore, the accuracy of performance prediction is dominated by the circulatory flow modeling. Until now the circulatory flow has been accounted of a standstill flow normal to the peripheral flow. However, the circulatory path from the impeller exit to the re-entrance inlet is exposed to the adverse pressure gradient, so it would be more realistic to describe that the circulatory flow is formed on the skewed plane not perpendicular to the peripheral flow. Present study suggests new circulatory flow loss model including the effect of adverse pressure gradient and modifies the effective circulatory flow rate and circulatory pivot which were previously published.

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Development of a Lift Correction Method for Shear Flow Effects in BEM Theory (BEM 이론을 위한 전단유동 효과 보정 기법 개발)

  • Lee, Kyung Seh;Jung, Chin Hwa;Park, Hyun Chul
    • 한국신재생에너지학회:학술대회논문집
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    • 2011.05a
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    • pp.57.2-57.2
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    • 2011
  • In this study, the effects of shear flows around a 2-dimensional airfoil, S809 on its aerodynamic characteristics were analyzed by CFD simulations. Various parameters including reference inflow velocity, shear rate, angle of attack, and cord length of the airfoil were examined. From the simulation results, several important characteristics were found. Shear rate in a flow makes some changes in the lift coefficient depending on its sign and magnitude but angle of attack does not have a distinguishable influence. Cord length and reference inflow also cause proportional and inversely proportional changes in lift coefficient, respectively. We adopted an analytic expression for the lift coefficient from the thin airfoil theory and proposed a modified form applicable to the traditional load analysis procedure based on the blade element momentum theory. Some preliminary results applied to an well known load simulation software, FAST, are presented.

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Improved Momentum Exchange Theory for Incompressible Regenerative Turbomachines (II) - Loss Model and Performance Prediction - (비압축성 재생형 기계에 대한 개선된 운동량 교환 이론 (II) - 손실 모델 및 성능 예측 -)

  • Park Mu Ryong;Chung Myung Kyoon;Yoo Il Su
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.10
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    • pp.1247-1254
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    • 2004
  • In momentum exchange theory the loss models for the circulatory flow is critically important. But because of lack of loss model on the circulatory flow, analysis model on regenerative turbomachines is not available in the open literature. In the present study circulatory loss is evaluated by combining bend's losses. Through the comparison with the previous experimental data on linear pressure gradient, a combination factor is suggested in terms of the aspect ratio of a channel. Applying this factor to two kinds of regenerative blowers the predicted results are found to be in good agreement with the experimental data of the overall performance and the head distribution along the rotational direction. Especially, the comparison with the head distribution demonstrates the accuracy of hydraulic model and loss model suggested in the present study. And the comparison with the overall performance confirms the validness of physical models as well as loss models suggested in the present study.

Basic Configuration Design and Performance Analysis of a 100kW Wind Turbine Blade using Blade Element Momentum Theory (BEMT에 의한 100kW 풍력터빈 블레이드 기본설계 및 출력 성능해석)

  • Kim, Bum-Suk;Kim, Mann-Eung;Lee, Young-Ho
    • Journal of Advanced Marine Engineering and Technology
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    • v.32 no.6
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    • pp.827-833
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    • 2008
  • In this study, mathematical expressions based upon the conventional BEMT(blade element momentum theory) was applied to basic 100kW wind turbine blade configuration design. Power coefficient and related flow parameters, such as Prandtl's tip loss coefficient, tangential and axial flow induction factors of the wind turbine were analyzed systematically. X-FOIL was used to acquire lift and drag coefficients of the 2-D airfoils and Viterna-Corrigan formula was used o interpolate he aerodynamic characteristics in post-stall region. Also, aerodynamic characteristics, measured in a wind tunnel to calculate he power coefficient was applied. The comparative results such as axial and tangential flow factors, power coefficients were presented in this study. Power coefficient, calculated by in-house code was compared with the GH-Bladed result. The difference of the aerodynamic characteristics caused the difference of the performance characteristics as variation as TSR.

A comparison of the performance characteristics of large 2 MW and 3 MW wind turbines on existing onshore wind farms

  • Bilgili, Mehmet;Ekinci, Firat;Demirdelen, Tugce
    • Wind and Structures
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    • v.32 no.2
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    • pp.81-87
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    • 2021
  • The aim of the current study is to compare the performance of large 2 MW and 3 MW wind turbines operating on existing onshore wind farms using Blade Element Momentum (BEM) theory and Angular Momentum (AM) theory and illustrate the performance characteristic curves of the turbines as a function of wind speed (U∞). To achieve this, the measurement data obtained from two different Wind Energy Power Plants (WEPPs) located in the Hatay region of Turkey was used. Two different horizontal-axis wind turbines with capacities of 2 MW and 3 MW were selected for evaluation and comparison. The hub-height wind speed (UD), turbine power output (P), atmospheric air temperature (Tatm) and turbine rotational speed (Ω) data were used in the evaluation of the turbine performance characteristics. Curves of turbine power output (P), axial flow induction factor (a), turbine rotational speed (Ω), turbine power coefficient (CP), blade tip speed ratio (λ), thrust force coefficient (CT) and thrust force (T) as a function of U∞ were obtained for the 2 MW and 3 MW wind turbines and these characteristic curves were compared. Results revealed that, for the same wind speed conditions, the higher-capacity wind turbine (3 MW) was operating at higher turbine power coefficient rates, while rotating at lower rotational speed ratios than the lower-capacity wind turbine (2 MW).

A Numerical Study on the Karman Vortex Generated by Breaking of Mountain Wave

  • Sung-Dae Kang;Fujio Kimura
    • Journal of Environmental Science International
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    • v.1 no.2
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    • pp.105.2-117
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    • 1992
  • The formation mechanism of the vortex streets in the lee of the mountain Is Investigated by a three-dimensional numerical model. The model is based upon the hydrostatic Boussinesq equations in which the vertical turbulent momentum flux is estimated by a turbulence parameterization scheme, but the horizontal viscosity is assumed to be constant. The results show that Karman vortex streets can form even without surface friction in a constant ambient flow with uniform stratification. The vortex formation is related to breaking of the mountain wave, which depends on the Froude number (Fr). In the case of a three-dimensional bell-shaped mountain, the wave breaking occurs when Fr is less than about 0.8, while a barman vortex forms when Fr is less than about 0.22. Vortex formation also depends on Reynolds number, which is estimated from the horizontal diffusivity. The vortex formation can be explained by the wave saturation theory given by Lindzen (1981) with some modification. Simulations in this study show that in the case of Karman vortex formation the momentum flux in the lower level is much larger than the saturated momentum flux, whereas it is almost equal to the saturated momentum at the upper levels as expected from the saturation theory. As a result, large flux divergence is produced in the lower layer, the mean flow is decelerated behind the mountain, and the horizontal wind shear forms between unmodified ambient wind. The momentum exchange between the mean flow and the mountain wave is produced by the turbulence within a breaking wave. From the result, well developed vortices like Karman vortex can be formed. . The results of the momentum budget calculated by the hydrostatic model are almost the same as nonhydrostatic results as long as horizontal scale of the mountain is 10 km. A well developed barman vortex similar to the hydrostatic one was simulated in the nonhydrostatic case. Therefore, we conclude that the hydrostatic assumption is adequate to investigate the origin of the Km8n vortex from the viewpoint of wave breaking.

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