The influence of free-stream turbulence on separation of turbulent boundary layers in incompressible, two-dimensional flow

Experiments were conducted to determine if free-stream turbulence scale affects separation of turbulent boundary layers. In consideration of possible interrelation between scale and intensity of turbulence, the latter characteristic also was varied and its role was evaluated. Flow over a 2-dimensional airfoil in a subsonic wind tunnel was studied with the aid of hot-wire anemometry, liquid-film flow visualization, a Preston tube, and static pressure measurements. Profiles of velocity, relative turbulence intensity, and integral scale in the boundary layer were measured. Detachment boundary was determined for various angles of attack and free-stream turbulence. The free-stream turbulence intensity and scale were found to spread into the entire turbulent boundary layer, but the effect decreased as the airfoil surface was approached. When the changes in stream turbulence were such that the boundary layer velocity profiles were unchanged, detachment location was not significantly affected by the variations of intensity and scale. Pressure distribution remained the key factor in determining detachment location

Derivative observations in Gaussian Process models of dynamic systems

Gaussian processes provide an approach to nonparametric modelling which allows a straightforward combination of function and derivative observations in an empirical model. This is of particular importance in identification of nonlinear dynamic systems from experimental data. 1)It allows us to combine derivative information, and associated uncertainty with normal function observations into the learning and inference process. This derivative information can be in the form of priors specified by an expert or identified from perturbation data close to equilibrium. 2) It allows a seamless fusion of multiple local linear models in a consistent manner, inferring consistent models and ensuring that integrability constraints are met. 3) It improves dramatically the computational efficiency of Gaussian process models for dynamic system identification, by summarising large quantities of near-equilibrium data by a handful of linearisations, reducing the training size - traditionally a problem for Gaussian process models

Schools and their communities: pupil and teacher perceptions of community action

In England over the last two decades, there has been a growing interest in the role of English schools in developing, facilitating and supporting young people’s community participation. A number of policy initiatives have sought to build the capacity and opportunities for youth participation. Research suggests, however, that pupils and schools are often prohibited by significant barriers from becoming involved with community activities, particularly those which might occur beyond the school environment itself. In March 2010 the UK Labour government launched a Youth Community Action initiative for England, piloted across five local authorities, which aimed to involve young people of 14-16 years-of-age in community action. Following the UK general election in May 2010, the Conservative-Liberal Democrat coalition government terminated these pilots but was quick to announce the launch and piloting of a National Citizen Service for 16-19 year olds in England. Purpose Drawing on research conducted with participants in one Youth Community Action pilot project, the aim of this study was to explore the perceptions and understandings of young people regarding their involvement in community action activities and how this compared to the perceptions and understandings of the teachers responsible for co-ordinating such activities. Sample In the final synthesis, the sample comprised 614 pupil questionnaires, representing a response rate of 24 percent of the pupils in the 9 participating schools. 11 semi-structured interviews and one focus group interview were conducted with pupils in 6 of the schools, with a further 8 semi-structured interviews conducted with teachers in these 6 schools. Design and methods A questionnaire was administered to pupils participating in the Youth Community Action pilot, enabling an exploration of self-reported behavioural attitudes and perceptions. The data collected was analysed thematically, with an identification of common themes in responses. In addition, factor analysis and a series of Chi² tests of association were carried out. The use of semi-structured interviews, the data from which were analysed thematically, enabled a qualitative exploration of pupils’ and teachers’ self-reported perceptions of community action activities. Results The findings of our questionnaires report that those pupils who know more about their local neighbourhood and community are likely to report greater levels of concern for what happens within it. This suggests that pupils’ learning about their neighbourhoods and community is likely to be beneficial toward developing affective attachments to them. For the pupils in our data-set, simply possessing pro-social behaviours and attitudes was not a sufficient or necessary condition for their community awareness and involvement. It suggests that, at least for a notable number of pupils, active engagement in the community requires cultivation and learning beyond pro-social behaviours. The semi-structured interviews report that pupils identify the school as the key source of information about community engagement opportunities, but also indicate that there is a marked difference in the activities which teachers identify their pupils as having undertaken, and the ability of pupils to vocalise these themselves. A further notable finding was a focus on the practical (time, distance, age-constraints) and social (peer-pressure) barriers to community action activities to the exclusion of specifically educational (lack of understanding and skills) barriers. Conclusions Results from this study suggest that schools represent an important source for pupils’ community involvement, but that in our sample pupils often lack the vocabulary with which to explain the extent and nature of such engagement. Pupils and teachers identify a range of barriers to and benefits of community involvement, but these do not include a lack of understanding or skills. The research raises important questions in the context of recent policy trends in England

Divide and conquer identification using Gaussian process priors

We investigate the reconstruction of nonlinear systems from locally identified linear models. It is well known that the equilibrium linearisations of a system do not uniquely specify the global dynamics. Information about the dynamics near to equilibrium provided by the equilibrium linearisations is therefore combined with other information about the dynamics away from equilibrium provided by suitable measured data. That is, a hybrid local/global modelling approach is considered. A non-parametric Gaussian process prior approach is proposed for combining in a consistent manner these two distinct types of data. This approach seems to provide a framework that is both elegant and powerful, and which is potentially in good accord with engineering practice

Differential approximation for Kelvin-wave turbulence

I present a nonlinear differential equation model (DAM) for the spectrum of Kelvin waves on a thin vortex filament. This model preserves the original scaling of the six-wave kinetic equation, its direct and inverse cascade solutions, as well as the thermodynamic equilibrium spectra. Further, I extend DAM to include the effect of sound radiation by Kelvin waves. I show that, because of the phonon radiation, the turbulence spectrum ends at a maximum frequency $\omega^* \sim (\epsilon^3 c_s^{20} / \kappa^{16})^{1/13}$ where $\epsilon$ is the total energy injection rate, $c_s$ is the speed of sound and $\kappa$ is the quantum of circulation.Comment: Prepared of publication in JETP Letter

On variational principles for coherent vortex structures

Different approaches are discussed of variational principles characterizing coherent vortex structures in two-dimensional flows. Turbulent flows seem to form ordered structures in the large scales of the motion and the self-organization principle predicts asymptotic states realizing an extremal value of the energy or a minimum of enstrophy. On the other hand the small scales take care of the increase of entropy, and asymptotic results can be obtained by applying the theory of equilibrium statistical mechanics

Modeling Kelvin wave cascades in superfluid helium

We study two different types of simplified models for Kelvin wave turbulence on quantized vortex lines in superfluids near zero temperature. Our first model is obtained from a truncated expansion of the Local Induction Approximation (Truncated-LIA) and it is shown to possess the same scalings and the essential behaviour as the full Biot-Savart model, being much simpler than the later and, therefore, more amenable to theoretical and numerical investigations. The Truncated-LIA model supports six-wave interactions and dual cascades, which are clearly demonstrated via the direct numerical simulation of this model in the present paper. In particular, our simulations confirm presence of the weak turbulence regime and the theoretically predicted spectra for the direct energy cascade and the inverse wave action cascade. The second type of model we study, the Differential Approximation Model (DAM), takes a further drastic simplification by assuming locality of interactions in k-space via using a differential closure that preserves the main scalings of the Kelvin wave dynamics. DAMs are even more amenable to study and they form a useful tool by providing simple analytical solutions in the cases when extra physical effects are present, e.g. forcing by reconnections, friction dissipation and phonon radiation. We study these models numerically and test their theoretical predictions, in particular the formation of the stationary spectra, and closeness of numerics for the higher-order DAM to the analytical predictions for the lower-order DAM