150,275 research outputs found
On the relevance of Reynolds stresses in resolvent analyses of turbulent wall-bounded flows
The ability of linear stochastic response analysis to estimate coherent
motions is investigated in turbulent channel flow at friction Reynolds number
Re = 1007. The analysis is performed for spatial scales characteristic
of buffer-layer and large-scale motions by separating the contributions of
different temporal frequencies. Good agreement between the measured
spatio-temporal power spectral densities and those estimated by means of the
resolvent is found when the effect of turbulent Reynolds stresses, modelled
with an eddy-viscosity associated to the turbulent mean flow, is included in
the resolvent operator. The agreement is further improved when the flat forcing
power spectrum (white noise) is replaced with a power spectrum matching the
measures. Such a good agreement is not observed when the eddy-viscosity terms
are not included in the resolvent operator. In this case, the estimation based
on the resolvent is unable to select the right peak frequency and wall-normal
location of buffer-layer motions. Similar results are found when comparing
truncated expansions of measured streamwise velocity power spectral densities
based on a spectral proper orthogonal decomposition to those obtained with
optimal resolvent modes
A physics-based approach to flow control using system identification
Control of amplifier flows poses a great challenge, since the influence of environmental noise sources and measurement contamination is a crucial component in the design of models and the subsequent performance of the controller. A modelbased approach that makes a priori assumptions on the noise characteristics often yields unsatisfactory results when the true noise environment is different from the assumed one. An alternative approach is proposed that consists of a data-based systemidentification technique for modelling the flow; it avoids the model-based shortcomings by directly incorporating noise influences into an auto-regressive (ARMAX) design. This technique is applied to flow over a backward-facing step, a typical example of a noise-amplifier flow. Physical insight into the specifics of the flow is used to interpret and tailor the various terms of the auto-regressive model. The designed compensator shows an impressive performance as well as a remarkable robustness to increased noise levels and to off-design operating conditions. Owing to its reliance on only timesequences of observable data, the proposed technique should be attractive in the design of control strategies directly from experimental data and should result in effective compensators that maintain performance in a realistic disturbance environment
Anomalous strength of membranes with elastic ridges
We report on a simulational study of the compression and buckling of elastic
ridges formed by joining the boundary of a flat sheet to itself. Such ridges
store energy anomalously: their resting energy scales as the linear size of the
sheet to the 1/3 power. We find that the energy required to buckle such a ridge
is a fixed multiple of the resting energy. Thus thin sheets with elastic ridges
such as crumpled sheets are qualitatively stronger than smoothly bent sheets.Comment: 4 pages, REVTEX, 3 figure
Scaling of the buckling transition of ridges in thin sheets
When a thin elastic sheet crumples, the elastic energy condenses into a
network of folding lines and point vertices. These folds and vertices have
elastic energy densities much greater than the surrounding areas, and most of
the work required to crumple the sheet is consumed in breaking the folding
lines or ``ridges''. To understand crumpling it is then necessary to understand
the strength of ridges. In this work, we consider the buckling of a single
ridge under the action of inward forcing applied at its ends. We demonstrate a
simple scaling relation for the response of the ridge to the force prior to
buckling. We also show that the buckling instability depends only on the ratio
of strain along the ridge to curvature across it. Numerically, we find for a
wide range of boundary conditions that ridges buckle when our forcing has
increased their elastic energy by 20% over their resting state value. We also
observe a correlation between neighbor interactions and the location of initial
buckling. Analytic arguments and numerical simulations are employed to prove
these results. Implications for the strength of ridges as structural elements
are discussed.Comment: 42 pages, latex, doctoral dissertation, to be submitted to Phys Rev
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