Experimental and theoretical investigation of the nonmodal growth of steady streaks in a flat plate boundary layer

International audienceAn experimental and theoretical investigation aimed at describing the nonmodal growth of steady and spanwise periodic streamwise streaks in a flat plate boundary layer is presented. Stable laminar streaks are experimentally generated by means of a spanwise periodic array of small cylindrical roughness elements fixed on the plate. The streamwise evolution of the streaks is measured and it is proved that, except in a small region near the roughness elements, they obey the boundary layer scalings. The maximum achievable amplitude is mainly determined by the relative height of the roughness elements. Results are compared with numerical simulations of optimal and suboptimal boundary layer streaks. The theory is able to elucidate some of the discrepancies recently noticed between experimentally realizable nonmodal growth and optimal perturbation theory. The key factor is found to be the wall normal location and the extension of the laminar standing streamwise vortices inducing the streaks. The differences among previous experimental works can be explained by different dominating streak generation mechanisms which can be linked to the geometry and to the ratio between the roughness height and the boundary layer scale. © 2004 American Institute of Physics

Appraisal of cavity hot-wire probes for wall-shear-stress measurements

Flush-mounted cavity hot-wire probes have emerged as an alternative to classical hot-wire probes mounted several diameters above the surface for wall-shear stress measurements. They aim at increasing the frequency response and accuracy by circumventing the well-known issue of heat transfer to the substrate that hot-wire and hot-film probes possess. Their use, however, depends on the assumption that the cavity does not influence the flow field. In this study, we show that this assumption does not hold, and that turbulence statistics are modified by the presence of the cavity with sizes that are practically in use. The mean velocity and fluctuations increase near the cavity while the shear stress decreases in its surroundings, all seemingly stemming from the fact that the no-slip condition is not present anymore and that flow reversal occurs. Overall, the energy spectra and the probability density function of the wall shear stress fluctuations indicate a change of nature of turbulence by the presence of the cavity

Delaying transition to turbulence by a passive mechanism

International audienceReducing skin friction is important in nature and in many technological applications. This reduction may be achieved by reducing stresses in turbulent boundary layers, for instance tailoring biomimetic rough skins. Here we take a second approach consisting of keeping the boundary layer laminar as long as possible by forcing small optimal perturbations. Because of the highly non-normal nature of the underlying linearized operator, these perturbations are highly amplified and able to modify the mean velocity profiles at leading order. We report results of wind-tunnel experiments in which we implement this concept by using suitably designed roughness elements placed on the skin to enforce nearly optimal perturbations. We show that by using this passive control technique it is possible to sensibly delay transition to turbulence. © 2006 The American Physical Society

Experimental study of the stabilization of Tollmien-Schlichting waves by finite amplitude streaks

International audienceIt has recently been found by using temporal and spatial numerical simulations that steady optimal streaks of moderate amplitude, i.e., sufficiently large but not exceeding the critical amplitude for the inflectional instability, are able to reduce the growth of Tollmien-Schlichting (TS) waves up to their complete suppression. This investigation aims at experimentally verifying this stabilizing effect by generating stable and symmetric, close to sinusoidal, streaks of moderate amplitudes (~12% of the free-stream velocity) by means of a spanwise array of cylindrical roughness elements. The three-dimensional (3D) streaky base flow is then subjected to a secondary instability generated through a spanwise slot in the plate by means of regulated blowing and suction. In this study the stabilizing role of the streaks on TS waves is unambiguously confirmed and by increasing the height of the roughness elements, thus inducing larger amplitude streaks, we are also able to show that the stabilizing action on the TS waves increases with the streak amplitude. These results are the first to confirm the numerical predictions reported in earlier works. The full cross-stream plane has been measured at different downstream positions allowing a complete evaluation and comparison of the different amplitude measures used in previous experimental works. Furthermore, theoretical impulse response analysis and stability calculations are applied to the present experimental streaky base flow enabling a qualitative comparison of the 3D modulated TS wave distribution. © 2005 American Institute of Physics

Scaling of mixed structure functions in turbulent boundary layers

We address the issue of the scaling of the anisotropic components of the hierarchy of correlation tensors in the logarithmic region of a turbulent boundary layer over a flat plate, at Re?15000. We isolate the anisotropic observables by means of decomposition tools based on the SO(3) symmetry group of rotations. By employing a dataset made of velocity signals detected by two X probes, we demonstrate that the behavior of the anisotropic fluctuations throughout the boundary layer may be understood in terms of the superposition of two distinct regimes. The transition is controlled by the magnitude of the mean shear and occurs in correspondence with the shear scale. Below the shear scale, an isotropy-recovering behavior occurs, which is characterized by a set of universal exponents which roughly match dimensional predictions based on Lumley's argument [J. L. Lumley, Phys. Fluids 8, 1056 (1965)]. Above the shear scale, the competition between energy production and transfer mechanisms gives rise to a completely different scenario with strong alterations of the observed scaling laws. This aspect has significant implications for the correct parametrization of the anisotropy behavior in the near wall region since, approaching the wall, an increasingly larger fraction of the scaling interval tends to conform to the shear-dominated power laws

Nonlinear description of transversal motion in a laminar boundary layer with streaks

The nonlinear streamwise growth of a spanwise periodic array of steady streaks in a flat plate boundary layer is numerically computed using the well known Reduced Navier-Stokes formulation. It is found that the flow configuration changes substantially when the amplitude of the streaks grows and the nonlinear effects come into play. The transversal motion (in the wall normal-spanwise plane), which is normally not considered, becomes non-negligible in the nonlinear regime, and it strongly distorts the streamwise velocity profiles, which end up being quite different from those predicted by the linear theory. We analyze in detail the resulting flow patterns for the nonlinearly saturated streaks, and compare them with available experimental results

Методическая работа в дошкольной образовательной организации как условие повышения информационно-коммуникационной компетентности педагогов

Тема работы актуальна. В ВКР представлены условия, способствующие развитию компонентов ИКК педагогов. Работа имеет практическую значимост

Scaling in Wall Turbulence: Scale Separation and Interaction (Invited Paper)

High Reynolds number pipe flow data are used to demonstrate the importance of several conditions related to scale separation that are either assumed in the classical theories or may be used in light of recent results in wall turbulence to infer a minimum Reynolds number condition above which scaling results may be suitable for extrapolation. Results from the Princeton Superpipe have suggested Re_τ > 5000 as the minimum Reynolds number for which key properties of pipe flow reach a “fully-developed” condition, based on observations of streamwise mean and turbulent velocity structure. Additional values related to finer constraints on the structural development are also discussed. A “skeleton” of wall turbulence is introduced, based on structural components identified as having a dominant role in the dynamics of near-wall turbulence in recent experiments by a variety of authors. Possible interaction mechanisms between these components are described alongside some outstanding questions concerning scale separation and interaction

First International workshop on CICLoPE (Center for International Cooperations in Long Pipe Experiments)

The symposium was organised to introduce the project CICLoPE (Center for International Cooperation in Long Pipe Experiments) to scientist from the physics community with interest in turbulence. CICLoPE is focused on fundamental issues in high Reynolds number turbulence. At the mini symposium, scheduled for 29 and 30 September, 2005, near Bologna, the main objectives of the project have been introduced and the future plans have been discussed. Wall-bounded flows present a variety of interesting problems in turbulence, and where controversies and uncertainties over fundamental issues remain unresolved. During the symposium we could collectively review the objectives of CICLoPE with leading scientists, as we reviewed recent highlights from fundamental research in high Reynolds number turbulence. One of the main outcomes of the discussions, concerned the plans to construct a very large high Reynolds number pipe flow facility where fully developed flow can be achieved, and detailed and accurate measurements of the turbulence can be documented. To achieve these goals, the facility would utilize air as the working fluid, and be operated at atmospheric conditions. The fully developed pipe was selected among other wall-bounded flows to insure the best quality physical, analytical and computational modeling and correspondence. Preliminary design considerations led us to an overall length of approximately 120 meters with a pipe diameter between 60 and 90 cm. The pipe will be built and operated inside one of two huge tunnels available in Predappio, near Forl\uec (south of Bologna) in Italy. The tunnels, excavated within the mountain to protect the manufacturing of the Caproni Airplanes from bombing during World War II, are an ideal location, given their large dimensions, the low level of disturbances and the stable temperature all year long

Il CICLoPE, un progetto di alta ricerca e di internazionalizzazione del Tecnopolo

Il documenta presenta le caratteristiche tecniche e di internazionalizzazione del laboratorio per gli studi sulla turbolenza ad elevati numeri di Reynolds denominato CICLOPE. Vengono descritte in particolare le applicazioni tecnologiche, la sua collocazione nell'ambito del tecnopolo aeronautico forlivese e le attivit\ue0 di cooperazione a livello internazionale