An aeroacoustic investigation was performed to assess the effects of adding mass flow at the trailing edges of four stators upstream of an aircraft engine simulator. By using trailing edge blowing to minimize the shed wakes of the stators, the flow into the rotor was made more uniform. In these experiments a reduced number of stators (four) was used in a 1/14 scale model inlet which was coupled to a 4.1 in (10.4 cm) turbofan engine simulator with 18 rotors and 26 downstream stators. This study is a preliminary step toward a more in depth investigation of using trailing edge blowing to reduce unsteady rotor-stator interaction. Steady-state measurements of the aerodynamic flow field and acoustic far field were made in order to evaluate the aeroacoustic performance at three simulator speeds: 40%, 60%, and 88% of the design speed. The lowest test speed of 40% design speed showed the most dramatic reduction in radiated noise. Noise reductions as large as 8.9 dB in the blade passing tone were recorded at 40% design speed, while a tone reduction of 5.5 dB was recorded at 60% design speed. At 88% design speed a maximum tone reduction of 2.6 dB was recorded. In addition, trailing edge blowing reduced the overall sound pressure level in every case. For both the 40% design speed and the 60% design speed, the fan face distortion was significantly reduced due to the trailing edge blowing. The addition of trailing edge blowing from the four upstream stators did not change the total pressure ratio, and the mass flow added by the blowing was approximately 1%. The results of these experiments clearly demonstrate that blowing from the trailing edges of the stators is effective in reducing unsteady rotor-stator interaction and the subsequent forward radiated noise. / Master of Science

Cette thèse est consacrée à l'étude des propriétés aéroacoustiques de jets supersoniques impactant une paroi par simulation des grandes échelles. Ces simulations sont réalisées à partir des équations de Navier-Stokes 3-D instationnaires compressibles exprimées pour des coordonnées cartésiennes ou cylindriques. Afin de résoudre ces équations, des schémas numériques de différenciation spatiale et d'intégration temporelle peu dispersifs et peu dissipatifs sont utilisés. Les écoulements étudiés étant supersoniques, une procédure de capture de choc est également implémentée afin de supprimer les oscillations de Gibbs de part et d'autre des chocs.Dans un premier temps, un jet rond libre et quatre jets ronds impactant une paroi avec un angle de 90 degrés sont simulés sur des maillages cylindriques. Ces jets sont supersoniques, sous-détendus, et sont caractérisés par un nombre de Reynolds calculé à partir du diamètre du jet de Re=60.000, et par un nombre de Mach parfaitement détendu de Mj=1.56. Les résultats du jet libre sont tout d'abord présentés. Ils sont comparés aux résultats de plusieurs études expérimentales et de modèles afin de valider l'approche numérique utilisée. Notamment, les différentes composantes acoustiques spécifiques aux jets sous-détendus comme le bruit de choc large-bande et le bruit de screech sont observées et analysées. Les résultats obtenus pour les quatre jets impactant une paroi sont ensuite examinés. Dans ce cas, la présence d'une boucle de rétroaction aéroacoustique entre les lèvres de la buse et la paroi est montrée. Pour finir, le comportement aérodynamique et aéroacoustique des jets est étudié, et comparé à différentes études numériques et expérimentales de la littérature. Quatre jets plans supersoniques idéalement détendus impactant une paroi avec un angle de 90 degrés sont ensuite calculés. Ils ont un nombre de Reynolds évalué à partir de la hauteur de la buse de Re=50.000 et un nombre de Mach de Mj=1.28. Une boucle de rétroaction aéroacoustique entre la buse et la paroi est de nouveau mise en évidence. Une combinaison de modèles associant un modèle d'onde stationnaire aérodynamique-acoustique et un modèle de stabilité de jet plan 2-D avec des couches de mélange infiniment minces est alors proposée. Ce modèle permet de déterminer à la fois les fréquences les plus probables de la boucle de rétroaction aéroacoustique et leurs natures plane ou sinueuse.Enfin, les simulations de deux jets plans supersoniques impactant une paroi avec des angles de 60 et 75 degrés sont réalisées grâce à l'utilisation de deux maillages cartésiens, par une méthode de recouvrement de maillages. Les modifications des propriétés de la boucle de rétroaction aéroacoustique lorsque l'angle d'impact dévie de 90 degrés sont ainsi étudiées. / In this PhD work, supersonic impinging jets are simulated using large-eddy simulation in order to investigate their aerodynamic and acoustic fields. In practice, the unsteady compressible Navier-Stokes equations are solved on Cartesian or cylindrical meshes. Low-dissipation and low-dispersion numerical methods are used for spatial differentiation and time integration. As the jets are supersonic, a shock-capturing filtering is also applied in order to avoid Gibbs oscillations near shocks.A free round jet and four round jets impinging normally on a flat plate are first simulated on cylindrical meshes. They are underexpanded, and have a Reynolds number based on the nozzle diameter of Re=60.000 and a fully expanded Mach number of Mj=1.56. The results for the free jet are first presented. They are compared with experimental results and predictions given by models in order to validate the numerical setup. Acoustic components specific to underexpanded jets such as broadband shock-associated noise and screech noise are obtained. The results for the four impinging jets are then examined. An aeroacoustic feedback mechanism establishing between the nozzle lips and the flat plate is found to generate tones. Finally, the flow and acoustic properties of the jets are studied and compared with numerical and experimental data.Four ideally expanded jets impinging normally on a flat plate are then simulated. They have a Reynolds number based on the nozzle height of Re=50.000 and a Mach number of Mj=1.28. An aeroacoustic feedback mechanism is again observed between the nozzle lips and the flat plate. A combination of models based on an aeroacoustic feedback model and a vortex sheet model of the jet is then proposed. The model appears able to predict the most likely tone frequencies of the feedback mechanism, and the symmetric or antisymmetric nature of the corresponding jet oscillation.Finally, two ideally expanded jets impinging on a flat plate with angles between the jet direction and the plate of 60 and 75 degrees are simulated using two Cartesian meshes. The effects of the angle of impact on the properties of the aeroacoustic feedback mechanism are finally studied.

This study, explores the use of an iterative solution approach for the linearized Euler equations formulated in the frequency domain for fan tone noise propagation and radiation through bypass jets. The aim is to be able to simulate high frequency propagation and radiation phenomena with this code, without excessive computational resources. All computations are performed in parallel using MPI library routines on a computer cluster. The linearized Euler equations support the Kelvin-Helmholtz type convective physical instabilities in jet shear flows. If these equations are solved directly in frequency domain, the unstable modes may be filtered out for the frequencies of interest. However, direct solutions are memory intensive and the reachable frequency is limited. Results provided shown that iterative solution of LEE is more efficient when considered memory requirement and might solve a wider scope of frequencies, if the instabilities are controlled.

This research is situated in the field of Computational AeroAcoustics (CAA). The thesis focuses on the computation of the aerodynamic noise generated by turbulent flows around wing, fan, or propeller airfoils. The computation of the noise radiated from a device is the first step for designers to understand the acoustical characteristics and to determine the noise sources in order to modify the design toward having acoustically efficient products. As a case study, the broadband or trailing-edge noise emanating from a CD (Controlled-Diffusion) airfoil, belonging to a fan is studied. The hybrid methods of aeroacoustic are applied to simulate and predict the radiated noise. The necessary tools were researched and developed. The hybrid methods consist in two steps simulations, where the determination of the aerodynamic field is decoupled from the computation of the acoustic waves propagation to the far field, so the first part of this thesis is devoted to an aerodynamic study of the considered airfoil. In this part of the thesis, a complete aerodynamic study has been performed. Some aspects have been developed in the used in-house solver SFELES, including the implementation of a new SGS model, a new outlet boundary condition and a new transient format which is used to extract the noise sources to be exported to the acoustic solver, ACTRAN. The second part of this thesis is concerned with the aeroacoustic study where four methods have been applied, among them two are integral formulations and the two others are partial-differential equations. The first method applied is Amiet’s theory, implemented in Matlab, based on the wall-pressure spectrum extracted in a point near the trailing edge. The second method is Curle’s formulation. It is applied proposing two approaches; the first approach is the implementation of the volume and surface integrals in SFELES to be calculated simultaneously with the flow in order to avoid the storage of noise sources which requires a huge space. In the second approach, the fluctuating aerodynamic forces, already obtained during the aerodynamics simulation, are used to compute the noise considering just the surface sources. Finally, Lighthil and Möhring analogies have been applied via the acoustic solver ACTRAN using sources extracted via SFELES. Maps of the radiated noise are demonstrated for several frequencies. The refraction effects of the mean flow have been studied. / Doctorat en Sciences de l'ingénieur et technologie / info:eu-repo/semantics/nonPublished

Numerical simulation of noise production and propagation is a very complex problem. A methodology fitting for one particular problem can fail for another one. So there are no general guidelines on how to deal with such phenomena. In the present work, noise propagated in non-uniform mean-flow is considered. For most cases, in the propagation field, there is a rather significant region where the mean flow is not uniform, but the sound production is negligible compared to the noise emitted by the source region. In this<p>nearfield, a linear set of propagation equations may be considered (LEE). For such problems, the following simulation methodology is proposed:<p>1. Incompressible/compressible LES simulation in the source region.<p>2. Linearized Euler Equations to propagate the noise through the nonlinear mean flow.<p>3. Kirchhoff method in the farfield, if necessary.<p>This thesis deals with the second item of this system (LEE), including interfacing with the other two steps. / Doctorat en Sciences de l'ingénieur / info:eu-repo/semantics/nonPublished

L’antennerie acoustique, aussi appelée formation de voies, est une technique d’identification acoustique basée sur un modèle de propagation analytique entre les sources de bruit et les microphones, la fonction de Green. Dans le cas de l’étude de sources aéroacoustiques en configuration réaliste, le milieu de propagation entre les sources et les microphones est la plupart du temps constitué d’un écoulement inhomogène et/ou d’une géométrie complexe. La fonction de Green n’est alors généralement pas connue et l’utilisation d’une fonction non adaptée conduit à une localisation ainsi qu’une mesure du niveau acoustique des sources erronées. L’objectif de cette thèse est le développement d’une méthode permettant d’estimer, grâce au code de propagation numérique de l’Onera résolvant les équations d’Euler (sAbrinA_v0), les composantes de la fonction de Green entre chaque point de focalisation (point source possible) et chaque microphone pour des cas de propagations complexes. Un seul calcul de propagation est effectué avec un ensemble de points sources positionnés en chacun des points de focalisation. La fonction de Green est ensuite estimée à partir de la résolution de problèmes inverses faisant intervenir les signaux sources et signaux calculés aux positions des microphones. Afin de valider l’approche, la formation de voies est ensuite mise en œuvre avec la fonction estimée, dans le but d’identifier des sources de bruit pour des cas 2D simples, puis des cas 2D avec un écoulement et/où une géométrie complexe. Les signaux microphoniques correspondant au rayonnement des sources à identifier sont obtenus analytiquement ou numériquement selon les cas. / The acoustic Beamforming, also called microphone array processing, is an acoustic identification technique based on an analytical propagation model between noise sources and microphones: the Green function. In the case of the study of aeroacoustic sources in realistic configuration, the propagation medium between sources and microphones is most often made up of an inhomogeneous flow and / or complex geometry. Green's function becomes then analytically difficult to determine and the use of an unsuitable function leads to spurious source localization and level measurement. The aim of this thesis is to overcome these difficulties by employing the Onera’s Euler solver sAbrinA_v0 to determine the Green's function components between each focus point (possible source point) and each microphone for complex cases. One propagation calculation is performed with a set of source points positioned in each of the focal points. The Green's function is then estimated from the resolution of inverse problems involving source signals and signals calculated at microphones position’s. To validate the approach, Beamforming is computed with the estimated function in order to identify noise sources for simple 2D case and 2D cases with a flow or/ with complex geometry. The microphone signals corresponding to the radiation of the sources to identify are obtained analytically or numerically depending on the case.

Recent advancements in electric propulsion systems have made electric vertical takeoff and landing aircraft a reality, and one that is seen as a partial solution to the growing issue of urban traffic congestion. Designing an aircraft with multiple smaller motors and rotors spread across the wings–referred to as distributed electric propulsion (DEP)–has shown great potential in help- ing improve electric aircraft performance by offering increased propulsive efficiency, augmented lift, and structural load distribution. For these reasons, DEP is one configuration that is currently being implemented into multiple prototype designs (e.g. NASA’s Maxwell X-57, Airbus Vahana, Opener BlackFly, and Joby S2). However, while a DEP configuration has many potential benefits, it complicates the aerodynamics by introducing complex rotor-on-rotor interactions which can significantly affect noise generation. In this study we use unsteady Reynolds-averaged Navier–Stokes (RANS) simulations (STAR-CCM+) with an aeroacoustic solver (PSU-WOPWOP) to quantify thrust fluctuations and noise generation for two distinct rotor-rotor configurations. The configurations investigated in this study are: 1) coplanar rotors with a varying tip separation distance and 2) one rotor downstream of the other at varying distances for a fixed tip separation distance. Both configurations are investigated using an APC 10x7E and DJI-based 0.24 m rotor. It was found that tip-to-tip separation distance has a stronger influence on noise generation than the downstream separation distance does. A one diameter change in tip separation distance resulted in a ∼15 dBA change in noise while a three diameter change in downstream separation distance only resulted in a ∼9 dBA change in noise for the same rotor. Changes in thrust fluctuations were found to predict trends in noise generation well for multi-rotor configurations. Additionally, it was shown that when rotors are located less than 10% of the diameter apart from each other, noise can be decreased by up to 9 dBA by moving one rotor ∼0.5 diameter downstream of the other.

Corrugated pipes are widely used in offshore gas and oil fields for their flexibility while offering local rigidity. However, self-sustained pressure pulsations associated with the flow in corrugated pipes results in a noisy environment, high running costs and eventually structure fatigue failure upon long exposure. Recent literature has addressed either the flow over a single cavity or the global oscillations. The current research aims at understanding the flow over multiple cavities as a first step to correlate the rich single cavity literature and the actual corrugated pipe problem with the ultimate goal of predicting oscillations amplitude in corrugate pipes. The standing wave method (SWM), which is an efficient experimental tool, has been successfully adapted in the first phase of the project to measure the source of multiple cavity configurations. One, two and three-cavity configurations have been investigated by means of the SWM. The source non-linearly becomes more pronounced as the number of cavities increases. The cavity length (L) is still found to be the appropriate length scale to define the oscillation dimensionless frequency (the Strouhal number). The measured source data have been successfully employed in a semi-empirical model to predict the amplitude of the self-excited oscillations. Accurate model performance is achieved for the single, double and triple cavity configurations. Including the absorption losses at the cavity corners has been found to be crucial for the model prediction accuracy. The separation distance (Lp) effect on the generated source is investigated for two and three-cavity configurations using the SWM over a practical range of spacing ratios. At extremum spacing ratios of (Lp/L) 0.5 and 1.375, constructive hydrodynamic interference associated with strong sources has been observed. At high excitation levels the source consistently becomes weaker upon increasing the spacing ratio. The reported trends are consistent for both the double and triple cavity configurations. However, the destructive interference spacing ratio is found to depend on the number of cavities indicating a relatively more complicated interaction mechanism. The different interaction patterns have been analytically interpreted based on the synchronization of the hydrodynamic cycle of the cavity shear layer and the disturbance convection along the pipe spacing between the cavities. Moreover, the three-cavity constructive interference cases have been visualized using Particle Image Velocimetry (PIV). The source evaluated based on the PIV data and applying Howe’s analogy revealed each cavity share of the global source, which fairly agrees with the SWM measured source. The source contribution due to gradually increasing the number of cavities is investigated using the SWM up to a six-cavity configuration. The source contribution reaches asymptotically a consistent value starting from the fourth cavity. This persistent contribution defines a building unit cavity source which is representative of a general cavity in a long corrugated pipe. The building unit source fairly agrees with the ninth-cavity source in a twelve-cavity configuration extracted by means of the PIV technique. Finally, a predication model, based on the building unit source, successfully predicts the oscillations amplitude of a twelve-cavity configuration, which serves as a model for a corrugated pipe section. / Thesis / Doctor of Philosophy (PhD)

This dissertation presents measurements of unsteady surface pressure on airfoils encountering flow disturbances. Analysis of measurements made on an airfoil immersed in turbulence and comparisons with inviscid theory are presented with the goal of determining the effect of angle of attack on an airfoils inviscid response. Unsteady measurements made on the surface of a linear cascade immersed in periodic flow are presented and analyzed to determine the relationship between the blades inviscid response and tip leakage vortex strength. Measurements of fluctuating surface pressure were made on a NACA 0015 airfoil immersed in grid generated turbulence. The airfoil model has a 2' chord and spans the 6' Virginia Tech Stability Wind Tunnel test section. Two grids were used to investigate the effects of turbulence length scale on the surface pressure response. A large grid which produced turbulence with an integral scale 13% of the chord and a smaller grid which produced turbulence with an integral scale 1.3% of the chord. Measurements were performed at angles of attack from 0 to 20. An array of microphones mounted subsurface was used to measure the unsteady surface pressure. The goal of this measurement was to characterize the effects of angle of attack on the inviscid response. Lift spectra calculated from pressure measurements at each angle of attack revealed two distinct interaction regions; for reduced frequencies < 10 a reduction in unsteady lift of up to 7 decibels (dB) occurs while an increase occurs for reduced frequencies > 10 as the angle of attack is increased. The reduction in unsteady lift at low reduced frequencies with increasing angle of attack is a result that has never before been shown either experimentally or theoretically. The source of the reduction in lift spectral level appears to be closely related to the distortion of inflow turbulence based on analysis of surface pressure spanwise correlation length scales. Furthermore, while the distortion of the inflow appears to be critical in this experiment, this effect does not seem to be significant in larger integral scale (relative to the chord) flows based on the previous experimental work of McKeough (1976) suggesting the airfoils size relative to the inflow integral scale is critical in defining how the airfoil will respond under variation of angle of attack. A prediction scheme is developed that correctly accounts for the effects of distortion when the inflow integral scale is small relative to the airfoil chord. This scheme utilizes Rapid Distortion Theory to account for the distortion of the inflow with the distortion field modeled using a circular cylinder. Measurement of the unsteady surface pressure response of a linear cascade in periodic disturbance is presented. Unsteady pressure was measured on the suction and pressure side of two cascade blades with an array of 24 microphones (12 per blade side) mounted subsurface. The periodic disturbance was generated using a pair of vortex generators attached to a moving end wall. Measurements were made for 8 tip gaps (t/c = 0.00825, 0.0165, 0.022, 0.033, 0.045, 0.057, 0.079, 0.129) and phased averaged with respect to the vortex generator pair position. This measurement was motivated by the results presented by Ma (2003). The work of Ma (2003) suggested that tip leakage vortex shedding in the presence of a periodic disturbance is heavily influenced by the inviscid response of the cascade blade. This conclusion was arrived at by Ma's (2003) observation that as the tip gap is increased the amount of fluctuation in the tip leakage vortex circulation increases dramatically, in fact, many times the circulation in the inflow vortices. Unsteady pressure measurements reveal that the blade response involves a complex interaction of both inviscid response and viscous phenomena. However, a close relationship between unsteady tip loading and tip leakage vortex circulation is revealed suggesting the inviscid response is significant in determining the tip leakage vortex circulation. Additionally, predictions using inviscid theory agree well with measured levels of unsteady tip loading. As such, inviscid theory may be useful for predicting the tip leakage circulation and perhaps, pressure fluctuations in the tip leakage vortex. / Ph. D.

An aerodynamic and acoustic investigation was performed on two small-scale supersonic inlets to determine which inlet would be more suitable for a High Speed Civil Transport (HSCT) aircraft during approach and takeoff flight conditions. The comparison was made between an axisymmetric supersonic P inlet and a bifurcated two-dimensional supersonic inlet. The 1/14 scale model supersonic inlets were used in conjunction with a 4.1 in (10.4 cm) turbofan engine simulator to provide the typical characteristics of a turbofan aircraft engine. A bellmouth was utilized on each inlet to eliminate lip separation commonly associated with airplane engine inlets that are tested under static conditions. Steady state measurements of the aerodynamic flowfield and acoustic farfield were made in order to evaluate the aeroacoustic performance of the inlets. The aerodynamic results show the total pressure recovery of the two inlets to be nearly identical, 99% at the approach condition and 98% at the takeoff condition. At the approach fan speed (60% design speed), there was no appreciable difference in the acoustic performance of either inlet over the entire 0° to 110° farfield measurement sector. The inlet flow field results at the takeoff fan speed (88% design speed), show the average inlet throat Mach number for the P inlet (Mach 0.52) to be approximately 2 times that of the 2D inlet (Mach 0.26). The difference in the throat Mach number is a result of the smaller throughflow area of the P inlet. This reduced area resulted in a “soft choking” of the P inlet which lowered the blade passing tone of the simulator by an average of 9 dB in the forward sector, when compared to the 2D inlet. / Master of Science