scholarly journals Scale and curvature effects in principal geodesic analysis

2017 ◽  
Vol 153 ◽  
pp. 64-82
Author(s):  
Drew Lazar ◽  
Lizhen Lin
2020 ◽  
Vol 39 (5) ◽  
pp. 119-132
Author(s):  
Josua Sassen ◽  
Klaus Hildebrandt ◽  
Martin Rumpf

Author(s):  
Alessandro Bianchini ◽  
Francesco Balduzzi ◽  
Giovanni Ferrara ◽  
Lorenzo Ferrari

The assessment of robust CFD techniques is casting new light on the aerodynamics of airfoils rotating around an axis orthogonal to flow direction, with particular reference to flow curvature effects and stall mechanisms. In particular, Darrieus wind turbines’ designers are taking profit from these new discovers to improve the aerodynamic design of the rotors, in view of an increase of the overall efficiency and a reduction of the structural stresses on the blades. A controversial design parameter for Darrieus turbines, especially in case of small-size rotors, is represented by the location of the blade-spoke connection along the chord. The most common solution is indeed to place the connection at approximately airfoil’s quarter chord, i.e. where the pressure center is commonly located for low incidence angles. In some cases, however, the blade is connected at middle chord due to symmetry or aesthetic reasons. In some small turbines, innovative designs have even disregarded this parameter. Even if one can argue that the blade connection point is about to have some aerodynamic effects on the turbine’s performance, the real impact of this important design parameter is often not fully understood. The present study makes use of extensive CFD simulations on a literature case study, using a NACA 0021 airfoil, to assess the influence of the blade-spoke connection point. In particular, the differences in terms of power coefficient curve of the turbine, optimal tip-speed ratio, torque profiles and stresses on the connection are analyzed and discussed. Detailed flow analyses are also shown for azimuthal positions of particular interest. Results on the selected case study showed that the middle-chord blade-spoke connection point seems to guarantee a higher performance of the rotor, even if additional solicitation is applied to the connection itself. It is further shown that the same performance can indeed be obtained with the airfoil attached at quarter chord and properly pitched. By doing so, the stresses are contained and the performance is maximized.


2019 ◽  
Vol 25 (S2) ◽  
pp. 26-27
Author(s):  
C. Phatak ◽  
C. S. Miller ◽  
Z. Thompson ◽  
A. Petford-Long

1994 ◽  
Vol 1 (5) ◽  
pp. 1142-1153 ◽  
Author(s):  
K. L. Sidikman ◽  
B. A. Carreras ◽  
P. H. Diamond ◽  
L. Garcia

1986 ◽  
Vol 25 (1) ◽  
pp. 251189 ◽  
Author(s):  
C. S. Vikram ◽  
M. L. Billet
Keyword(s):  

1995 ◽  
Vol 48 (11S) ◽  
pp. S61-S67 ◽  
Author(s):  
Carlos E. S. Cesnik ◽  
Dewey H. Hodges

An asymptotically exact methodology, based on geometrically nonlinear, three-dimensional elasticity, is presented for cross-sectional analysis of initially curved and twisted, nonhomogeneous, anisotropic beams. Through accounting for all possible deformation in the three-dimensional representation, the analysis correctly accounts for the complex elastic coupling phenomena in anisotropic beams associated with shear deformation. The analysis is subject only to the restrictions that the strain is small relative to unity and that the maximum dimension of the cross section is small relative to the wave length of the deformation and to the minimum radius of curvature and/or twist. The resulting cross-sectional elastic constants exhibit second-order dependence on the initial curvature and twist. As is well known, the associated geometrically-exact, one-dimensional equilibrium and kinematical equations also depend on initial twist and curvature. The corrections to the stiffness model derived herein are also necessary in general for proper representation of initially curved and twisted beams.


1983 ◽  
Vol 26 (222) ◽  
pp. 2074-2080 ◽  
Author(s):  
Ryoji KOBAYASHI ◽  
Nobuyuki FUJISAWA

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