• Title/Summary/Keyword: Momentum theory

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Aerodynamic Characteristic Analysis of the Darrieus Turbine Using Double Multiple Streamtube Model (이중 다류관 모델을 이용한 Darrieus 터어빈의 공기역학적 특성 해석)

  • Kim, Keon-Hoon;Park, Kyung-Ho;Chung, Hun-Saeng
    • Solar Energy
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    • v.10 no.1
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    • pp.47-56
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    • 1990
  • The aerodynamic performances of Darrieus wind turbine were studied through the wind tunnel model tests and its analytical aerodynamic streamtube model. Hence, analytical streamtube model which is based on momentum and blade element theory is considered and the formulated model was generalized in non-dimensional type to predict the aerodynamic characteristics of Darrieus wind turbine. The analytical model was justified through the wind tunnel model tests for several experimental conditions but in the limited rages. These satisfactory comparative studies between the wind tunnel tests and the analytical predictions can be utilized for the basic reliable design of Darrieus wind turbine.

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Analysis of Transport Parameters in an Interacting Two-Band Model with Application to $p^{+}$-GaAs

  • Kim, B.W.;Majerfeld, A.
    • ETRI Journal
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    • v.17 no.3
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    • pp.17-43
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    • 1995
  • We present a comprehensive derivation of the transport of holes involving an interacting two-valence-band system in terms of a generalized relaxation time approach. We sole a pair of semiclassical Boltzmann equations in a general way first, and then employ the conventional relaxation time concept to simplify the results. For polar optical phonon scattering, we develop a simple method th compensate for the inherent deficiencies in the relaxation time concept and apply it to calculate effective relaxation times separately for each band. Also, formulas for scattering rates and momentum relaxation times for the two-band model are presented for all the major scattering mechanisms for p-type GaAs for simple, practical mobility calculations. Finally, in the newly proposed theoretical frame-work, first-principles calculations for the Hall mobility and Hall factor of p-type GaAs at room temperature are carried out with no adjustable parameters in order to obtain a direct comparison between the theory and recent available experimental results, which would stimulate further analysis toward better understanding of the complex transport properties of the valence band. The calculated Hall mobilities show a general agreement with our experimental data for carbon doped p-GaAs samples in a range of degenerate hole densities. The calculated Hall factors show $r_H$=1.25~1.75 over all hole densities($2{\times}10^{17}{\sim}1{\times}10^{20}cm^{-3}$ considered in the calculations.

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Software Development for the Performance Evaluation and Blade Design of a Pitch-Controlled HAWT based on BEMT (날개요소 운동량 이론을 이용한 피치제어형 수평축 풍력터빈 블레이드 설계 및 성능평가 소프트웨어 개발)

  • Mo, Jang-Oh;Kim, Bum-Suk;Kim, Mann-Eung;Choi, Young-Do;Lee, Young-Ho
    • The KSFM Journal of Fluid Machinery
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    • v.14 no.2
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    • pp.5-10
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    • 2011
  • The purpose of this study is to develop a software for the performance evaluation and blade design of a pitch-controlled HAWT using BEMT(Blade Element Momentum Theory) with Prandtl's tip loss. The HERACLES V2.0 software consist of three major part ; basic blade design, aerodynamic coefficient mapping and performance calculation including stall or pitch control option. A 1MW wind turbine blade was designed at the rated wind speed(12m/s) composing five different airfoils such as FFA-W-301, DU91-W250, DU93-W-210, NACA 63418 and NACA 63415 from hub to tip. The mechanical power predicted by BEMT at the rated wind speed is about 1.27MW. Also, CFD analysis was performed to confirm the validity of the BEMT results. The comparison results show good agreement about the error of 6.5% in rated mechanical power.

Predicting Double-Blade Vertical Axis Wind Turbine Performance by a Quadruple-Multiple Streamtube Model

  • Hara, Yutaka;Kawamura, Takafumi;Akimoto, Hiromichi;Tanaka, Kenji;Nakamura, Takuju;Mizumukai, Kentaro
    • International Journal of Fluid Machinery and Systems
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    • v.7 no.1
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    • pp.16-27
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    • 2014
  • Double-blade vertical axis wind turbines (DB-VAWTs) can improve the self-starting performance of lift-driven VAWTs. We here propose the quadruple-multiple streamtube model (QMS), based on the blade element momentum (BEM) theory, for simulating DB-VAWT performance. Model validity is investigated by comparison to computational fluid dynamics (CFD) prediction for two kinds of two-dimensional DB-VAWT rotors for two rotor scales with three inner-outer radius ratios: 0.25, 0.5, and 0.75. The BEM-QMS model does not consider the effects of an inner rotor on the flow speed in the upwind half of the rotor, so we introduce a correction factor for this flow speed. The maximum power coefficient predicted by the modified BEM-QMS model for a DB-VAWT is thus closer to the CFD prediction.

Numerical Study on Viscous Wakes of Two-Dimensional Screens Normal to the Uniform Stream (균일유동에 수직인 2차원 스크린 후류의 점성유동에 관한 수치적 연구)

  • 강신형;전우평
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.3
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    • pp.590-598
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    • 1988
  • Viscous flows through a screen normal to an uniform flow are numerically simulated. A .kappa.-.epsilon. model is adopted for evaluation of the Reynolds stresses. The existence of a screen is regarded as extra sources in the momentum equations. The amount of extra sources is related to the resistance coefficient and the refraction coefficient of the screen. Flows are numerically simulated for various resistance coefficients and heights of the screen and Reynolds numbers. The present method has been verified to reasonably simulate viscous wakes and shear layers of the screen, for which the inviscid theory is quite limitted. As the fluids approach the screen, the velocity is reduced and the pressure is raised to satisfy the Bernoulli equation. After passing the screen, the velocity shows its minimum value at the down-stream, but static pressure is slowly recovered. A detached separation-bubble from the screen appears as the resistance coefficient is increased to a certain level. Such results are qualitatively in agreement with limitted experimental data available. The turbulent kinetic energy shows its maximum value at further down stream and decrease thereafter.

Analysis of Three-Dimensional Rigid-Body Collisions with Friction -CoIlisions between EIlipsoids- (마찰력이 개재된 3차원 강체충돌 해석 - 타원체간 충돌 -)

  • Han, In-Hwan;Jo, Jeong-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.5
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    • pp.1486-1497
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    • 1996
  • The problem of determining the 3-demensional motion of any two rough bodies after a collision involves some rather long analysis and yet in some points it differs essentially from the corresponding problem in tdwo dimensions. We consider a special problem where two rough ellipsolids moving in any manner collide, and analyze the three dimensional impact process with Coulomb friction and Poisson's hypothesis. The differential equations that describe that process of the impact induce a flow in the tangent velocity space, the flow patterns characterize the possible impact cases. By using the graphic method in impulse space and numerical integration thchnique, we analyzed the impact process inall the possible cases and presented the algorithm for determining the post-impact motion. The principles could be applied to the general problem in three dimensions. We verified the effectiveness of the analysis results by simulating the numerous significant examples.

Experiments on Efficiency of Standing Type Waterwheel with Narrow Canal for Micro/Small Scale Hydro Power Plant (초소수력발전용 좁은 수로 고정형 수직수차 성능실험)

  • Kim, Dong-Jin;Lee, Kyong-Ho;Ahn, Kook-Chan;Kim, Bong-Hwan;Lee, Chi-Woo
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.11 no.5
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    • pp.104-108
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    • 2012
  • Recently, small scale hydropower needs to be developed due to its clean, renewable and abundant energy resources. However, suitable draft of hydro-turbine body in combination with differences in wheel blade shapes is not determined yet in the range of small hydropower and it is necessary to study for the effective draft in combination with type. Therefore, watermill shaped of 250mm diameter. hydro-turbine aiming 20 watt class generator is adopted in this study because of its simple structure and high possibility of applying to small hydropower. The result shows that effective draft for the turbine body is variable concerning the size of turbine and flow rate of water. Thus, the difference of water depth between fore and aft turbine body contributes to the increase of torque, angular momentum and power output.

Analysis of aerodynamic characteristics of 2 MW horizontal axis large wind turbine

  • Ilhan, Akin;Bilgili, Mehmet;Sahin, Besir
    • Wind and Structures
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    • v.27 no.3
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    • pp.187-197
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    • 2018
  • In this study, aerodynamic characteristics of a horizontal axis wind turbine (HAWT) were evaluated and discussed in terms of measured data in existing onshore wind farm. Five wind turbines (T1, T2, T3, T4 and T5) were selected, and hub-height wind speed, $U_D$, wind turbine power output, P and turbine rotational speed, ${\Omega}$ data measured from these turbines were used for evaluation. In order to obtain characteristics of axial flow induction factor, a, power coefficient, $C_p$, thrust force coefficient, $C_T$, thrust force, T and tangential flow induction factor, a', Blade Element Momentum (BEM) theory was used. According to the results obtained, during a year, probability density of turbines at a rotational speed of 16.1 rpm was determined as approximately 45%. Optimum tip speed ratio was calculated to be 7.12 for most efficient wind turbine. Maximum $C_p$ was found to be 30% corresponding to this tip speed ratio.

AERODYNAMIC EFFECTS OF THE TAB ON A HOVERING ROTOR BLADE (정지비행 로터 블레이드에 부착된 탭의 공기역학적 효과)

  • Kang, H.J.;Kim, D.H.;Kim, S.H.
    • Journal of computational fluids engineering
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    • v.18 no.3
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    • pp.60-66
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    • 2013
  • Numerical simulation was performed for the rotor blade with fixed tab in hover using an unstructured mesh Navier-Stokes flow solver. The inflow and outflow boundary conditions using 1D momentum and 3D sink theory were applied to reduce computational time. Calculations were performed at several operating conditions of varying collective pitch angle and fixed tab length. The aerodynamic effect of fixed tab length was investigated for hovering efficiency, pitching moment and flapping moment of the rotor blade. The results show that it affects linearly increasing on the pitching moment of the rotor blade but does not affect on the flapping moment. The required power is less than 45kw for ground rotating test in hover. Numerical simulations also show that the vortex generate not only from the tip of the rotor blade but also from the fixed tab on the rotor blade.

Rotor Blade Design of a 1MW Class HAWT and Evaluation of Aerodynamic Performance Using CFD Method (1MW급 수평축 풍력터빈 로터 블레이드 설계 및 CFD에 의한 공력성능 평가)

  • Mo, Jang-Oh;Lee, Young-Ho
    • The KSFM Journal of Fluid Machinery
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    • v.15 no.1
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    • pp.21-26
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    • 2012
  • In this investigation, the aerodynamic performance evaluation of a 1MW class blade has been performed with the purpose of the verification of target output and its clear understanding of flow field using CFD commercial code, ANSYS FLUENT. Before making progress of CFD analysis the HERACLES V2.0 software based on blade element momentum theory was applied for confirmation of quick and approximate performance in the preliminary stage. The blade was designed to produce the target output of a 1MW class at a rated wind speed of 12m/s, which consists of five different airfoils such as FFA W-301, DU91-W250, DU93-W-210, NACA 63418 and NACA 63415 from hub to tip. The mechanical power by CFD is approximately 1.195MW, which is converted into the electrical power of 1.075MW if the system loss is considered to be 0.877.