9,566 research outputs found
Performance and aerodynamic braking of a horizontal-axis wind turbine from small-scale wind tunnel tests
Wind tunnel tests of three 20" diameter, zero twist, zero pitch wind turbine rotor models were conducted in a 7' x 10' wind tunnel to determine the performance of such rotors with NACA 23024 and NACA 64 sub 3-621 airfoil sections. Aerodynamic braking characteristics of a 38% span, 30% chord, vented aileron configuration were measured on the NACA 23024 rotor. Surface flow patterns were observed using fluorescent mini-tufts attached to the suction side of the rotor blades. Experimental results with and without ailerons are compared to predictions using airfoil section data and a momentum performance code. Results of the performance studies show that the 64 sub 3-621 rotor produces higher peak power than the 23024 rotor for a given rotor speed. Analytical studies, however, indicate that the 23024 should produce higher power. Transition strip experiments show that the 23024 rotor is much more sensitive to roughness than the 64 sub 3-621 rotor. These trends agree with analytical predictions. Results of the aileron test show that this aileron, when deflected, produces a braking torque at all tip speed ratios. In free wheeling coastdowns the rotor blade stopped, then rotated backward at a tip speed ratio of -0.6
Analytical aerodynamic model of a high alpha research vehicle wind-tunnel model
A 6 DOF analytical aerodynamic model of a high alpha research vehicle is derived. The derivation is based on wind-tunnel model data valid in the altitude-Mach flight envelope centered at 15,000 ft altitude and 0.6 Mach number with Mach range between 0.3 and 0.9. The analytical models of the aerodynamics coefficients are nonlinear functions of alpha with all control variable and other states fixed. Interpolation is required between the parameterized nonlinear functions. The lift and pitching moment coefficients have unsteady flow parts due to the time range of change of angle-of-attack (alpha dot). The analytical models are plotted and compared with their corresponding wind-tunnel data. Piloted simulated maneuvers of the wind-tunnel model are used to evaluate the analytical model. The maneuvers considered are pitch-ups, 360 degree loaded and unloaded rolls, turn reversals, split S's, and level turns. The evaluation finds that (1) the analytical model is a good representation at Mach 0.6, (2) the longitudinal part is good for the Mach range 0.3 to 0.9, and (3) the lateral part is good for Mach numbers between 0.6 and 0.9. The computer simulations show that the storage requirement of the analytical model is about one tenth that of the wind-tunnel model and it runs twice as fast
On the isometric version of Whitney's strong embedding theorem
We prove a version of Whitney's strong embedding theorem for isometric
embeddings within the general setting of the Nash-Kuiper h-principle. More
precisely, we show that any -dimensional smooth compact manifold admits
infinitely many global isometric embeddings into -dimensional Euclidean
space, of H\"older class with for and
for . The proof is performed by Nash-Kuiper's
convex integration construction and applying the gluing technique of the
authors on short embeddings with small amplitude.Comment: 30 page
Global Nash-Kuiper theorem for compact manifolds
We obtain global extensions of the celebrated Nash-Kuiper theorem for
isometric immersions of compact manifolds with optimal H\"older
exponent. In particular for the Weyl problem of isometrically embedding a
convex compact surface in 3-space, we show that the Nash-Kuiper non-rigidity
prevails upto exponent . This extends previous results on embedding
2-discs as well as higher dimensional analogues.Comment: 31 page
Rigidity of four-dimensional K\"ahler-Ricci solitons
In this article, we investigate four-dimensional gradient shrinking Ricci
solitons close to a K\"ahler model. The first theorem could be considered as a
rigidity result for the K\"ahler-Ricci soliton structure on (in the sense of Remark 1). Moreover, we show that if the
quotient of norm of the self-dual Weyl tensor and scalar curvature is close to
that on a K\"ahler metric in a specific sense, then the gradient Ricci soliton
must be either half-conformally flat or locally K\"ahler
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