20,421 research outputs found
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Research and Development/Tech Change/Emerging Technologies,
Effect of blade geometry on the aerodynamic loads produced by vertical-axis wind turbines
Accurate aerodynamic modelling of vertical-axis wind turbines poses a significant challenge. The rotation of the turbine induces large variations in the angle of attack of its blades that can manifest as dynamic stall. In addition, interactions between the blades of the turbine and the wake that they produce can result in impulsive changes to the aerodynamic loading. The Vorticity Transport Model has been used to simulate the aerodynamic performance and wake dynamics of three different vertical-axis wind turbine configurations. It is known that vertical-axis turbines with either straight or curved blades deliver torque to their shaft that fluctuates at the blade passage frequency of the rotor. In contrast, a turbine with helically twisted blades delivers a relatively steady torque to the shaft. In this article, the interactions between helically twisted blades and the vortices within their wake are shown to result in localized perturbations to the aerodynamic loading on the rotor that can disrupt the otherwise relatively smooth power output that is predicted by simplistic aerodynamic tools that do not model the wake to sufficient fidelity. Furthermore, vertical-axis wind turbines with curved blades are shown to be somewhat more susceptible to local dynamic stall than turbines with straight blades
Geometric approach to Fletcher's ideal penalty function
Original article can be found at: www.springerlink.com Copyright Springer. [Originally produced as UH Technical Report 280, 1993]In this note, we derive a geometric formulation of an ideal penalty function for equality constrained problems. This differentiable penalty function requires no parameter estimation or adjustment, has numerical conditioning similar to that of the target function from which it is constructed, and also has the desirable property that the strict second-order constrained minima of the target function are precisely those strict second-order unconstrained minima of the penalty function which satisfy the constraints. Such a penalty function can be used to establish termination properties for algorithms which avoid ill-conditioned steps. Numerical values for the penalty function and its derivatives can be calculated efficiently using automatic differentiation techniques.Peer reviewe
Analytical Investigation of the Reentry Behavior of the ''flying Wind Tunnel'' Test Vehicle, with Some Effects of Threshold and Torque Level of a Roll-rate Control System
Analytical investigation of reentry behavior of flying wind tunnel test vehicle with some effects of threshold and torque level of roll-rate control syste
Geometry Optimization of Crystals by the Quasi-Independent Curvilinear Coordinate Approximation
The quasi-independent curvilinear coordinate approximation (QUICCA) method
[K. N\'emeth and M. Challacombe, J. Chem. Phys. {\bf 121}, 2877, (2004)] is
extended to the optimization of crystal structures. We demonstrate that QUICCA
is valid under periodic boundary conditions, enabling simultaneous relaxation
of the lattice and atomic coordinates, as illustrated by tight optimization of
polyethylene, hexagonal boron-nitride, a (10,0) carbon-nanotube, hexagonal ice,
quartz and sulfur at the -point RPBE/STO-3G level of theory.Comment: Submitted to Journal of Chemical Physics on 7/7/0
Field-guided proton acceleration at reconnecting X-points in flares
An explicitly energy-conserving full orbit code CUEBIT, developed originally
to describe energetic particle effects in laboratory fusion experiments, has
been applied to the problem of proton acceleration in solar flares. The model
fields are obtained from solutions of the linearised MHD equations for
reconnecting modes at an X-type neutral point, with the additional ingredient
of a longitudinal magnetic field component. To accelerate protons to the
highest observed energies on flare timescales, it is necessary to invoke
anomalous resistivity in the MHD solution. It is shown that the addition of a
longitudinal field component greatly increases the efficiency of ion
acceleration, essentially because it greatly reduces the magnitude of drift
motions away from the vicinity of the X-point, where the accelerating component
of the electric field is largest. Using plasma parameters consistent with flare
observations, we obtain proton distributions extending up to gamma-ray-emitting
energies (>1MeV). In some cases the energy distributions exhibit a bump-on-tail
in the MeV range. In general, the shape of the distribution is sensitive to the
model parameters.Comment: 14 pages, 4 figures, accepted for publication in Solar Physic
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Aspects Of Equivalence Relations In The School Curriculum And The Development Of The Concept In Young Children
This thesis considers some aspects of equivalence relations, especially in areas outside mathematics end in the development of children's thinking.
The aim of Section 1 is to show that equivalence classes (and by implication equivalence relations) are an essential mode of thinking for adult English speakers in a variety of activities.
As children have their own patterns of thinking which are developing toward adult form. Section 2 is devoted to establishing a framework within which observations about the development of the concept of equivalence relation can be organised.
The relevant factors of Piaget's work are taken as the starting point. These are reviewed alongside more recent American studies. Some recent reformulations of Piaget's theory of groupings by Gorman writers ere also considered.
This review Identifies difficulties arising from
(a) diversity of interpretation of (i) Piaget's work (ii) terminology used,
(b) gaps between the psychological models and the behavioural counterparts which they were designed to represent,
(c) lock of agreed criterion for concept attainment.
Points arising from (a) and (c) have been considered in greater detail in the context of
- the identification and modification of points of weakness in the hypothesis that soristion implies transitivity,
- an attempt to specify the characteristics of a test of conservation of a quantitative relation.
The review also shows gaps in the research, notably, in the study of the growth of the understanding of symmetric relations; proposals for further tests to clarify the stages in the development of the concept of symmetry are put forward. The feasibility of these tests has been studied in the classroom
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