L’effet du vol d’avancement sur le bruit de choc de jets supersoniques sous-détendus est étudié de manière expérimentale. La structure de tels jets est d’abord explorée, avec et sans vol simulé. L’analyse employée allie des visualisations strioscopiques à des mesures quantitatives de pression statique et de vitesse, par vélocimétrie laser Doppler et vélocimétrie par images de particules. L’accent est mis sur l’étude de l’écoulement moyen et des propriétés de la turbulence dans la couche de mélange. L’effet du vol sur la composante tonale du bruit de choc, le screech, est ensuite examiné. A l’aide d’une antenne azimutale de microphones placée dans le champ proche acoustique, une analyse fine des modes du screech est notamment proposée. Par ailleurs, plusieurs effets de cette composante de bruit sur la dynamique du jet sont mis en évidence, en particulier l’oscillation des chocs ; on montre que cette oscillation est intimement liée au mode du screech. De manière à étudier spécifiquement la composante large bande du bruit de choc, diverses techniques de suppression du screech sont ensuite explorées.L’utilisation d’une tuyère crénelée s’est révélée satisfaisante pour l’éliminer de manière non-intrusive et a permis de déduire son influence sur le bruit de choc large bande. Enfin, l’effet du vol sur cette dernière composante est déterminé par l’étude de l’évolution de sa fréquence centrale, de son amplitude et de sa forme spectrale en situation de vol simulé. Une explication des tendances observées est alors proposée à la lumière des résultats aérodynamiques obtenus. / The flight effects on the shock-associated noise components of underexpanded supersonic jets are experimentally studied. To begin with, the jet structure is investigated, with and without simulated flight. To that end, Schlieren visualizations are combined with quantitative measurements of static pressure and velocity, by laser Doppler velocimetry and particle image velocimetry. The investigation focuses on the mean flow and on the properties of the mixing layer turbulence. Then, the effects of flight on the tonal component of shock-associated noise, the so-called screech, are studied. By means of a near field, azimuthal microphone antenna, a detailed analysis of its modal behaviour is proposed. Furthermore, several effects of screech on the jet dynamics are highlighted, like the shock oscillations. It is shown that these oscillations are closely connected to the screech mode. In order to study specifically the broadband component of shock-associated noise, several screech suppression techniques are considered. It is found that a notched nozzle is successful in non-intrusively suppressing it. This device is then used to deduce the screech influence on the broadband shock-associated noise.Finally, some effects of flight on the latter component are pinpointed through the study of the evolutionof its amplitude, peak frequency and spectral shape under flight conditions. The observed tendencies are explained in light of the aerodynamic results obtained.

Fluid dynamicists are always in need of innovative instruments for flow velocity measurements. An ideal instrument would be non-intrusive, have a very fine spatial resolution as well as a very fine temporal resolution, be able to measure three-components of velocity, and be compact. Through recent advancements, laser Doppler velocimetry can now meet all of those requirements making it an important part of aerodynamicist's research toolbox. The first paper presented in this manuscript style thesis explains the development of an advanced three-velocity component, spatially-resolving laser-Doppler velocimetry (LDV) system for highly resolved velocity measurements in situations with limited optical access. The new instrument, a next generation version of the previously developed 'comprehensive' LDV technology, enables measurements of three components of velocity and particle position in the axial direction all through a single transceiving lens. Described here is the design process and the final design for the 'compact, comprehensive' LDV (Comp²LDV). The probe was designed to achieve ± 10 micron root-mean-square uncertainties in axial particle position, which combined with the long measurement volume, allow researchers to obtain a three-velocity-component velocity statistics profiles over a span of approximately 1.5mm without the need for traversing. Results from measurements in a flat plate turbulent boundary layer very near the wall have compared favorably to data from previous studies. The second paper focuses on the motion and evolution of coherent structures in supersonic jet flows and how that relates to the intense noise the flows generate. As a preliminary study to experimentally address these relationships, novel non-intrusive measurements using two-component laser Doppler velocimetry (LDV) have been conducted at exceptionally high data rates to lend insight into the statistical behavior of noise-generating flow structures. A new heated supersonic jet facility has been constructed to provide supersonic flow at total temperatures ratios (T₀/Tₐ) up to 3. In the present work, the instrumentation is validated via comparison of LDV measurements along the centerline of a screeching cold jet with microphone and high-speed shadowgraph results. Reynolds stress spectra are presented for an over-expanded case (nozzle pressure ratio of 3.2) of a design Mach number 1.65 nozzle operated cold (T₀/Tₐ = 1). A preliminary study was then conducted in the near-nozzle shear layer, up to x/d = 4.0, at design nozzle pressure ratio (4.58) and total temperature ratio of 2.0. Results are presented for Reynolds stress time-delay correlations and power spectra at Re_d = 1.1M for this case. The stream-wise Reynolds normal stress spectra are compared with published spectral behavior reported by other researchers, indicating a similar spectral shape in the downstream stations as previously measured with LDV and hot wire anemometry for cold jets, but which differ in shape from density-based techniques. / Master of Science

Three dimensional nozzles and jet flows have attracted the attention of many researchers due to their potential application to many practical devices. Rectangular nozzles are considered for short/vertical take off and landing aircrafts for achieving powered lift. Axisymmetric nozzles with lobes, tabs or slots and elliptical nozzles are considered for noise reduction in aircrafts and mixing augmentation in airbreathing rockets. Interaction of supersonic jets with solid surface, as in the case of retro and ullage rockets in launch vehicles and interaction of multiple jets as in the case of launch vehicles with multiple booster rockets/multiple nozzle engines are of practical importance. Design of rockets and aircrafts employing these nozzles needs the understanding of the structure and behaviour of the complex three dimensional supersonic jets issuing from these nozzles. The problem is so complex that different investigators have addressed only some specific aspects of the problem and there is much more to be done to fully understand these flows. For example, in the case of rectangular nozzle with semi circular ends (known as elliptical nozzle), the investigations have been limited to a single nozzle of aspect ratio 3,0 and pressure ratio (ratio of the total pressure to ambient pressure) 3.0. Further, the measurements were made in the far field subsonic region beyond a distance of 20 times the equivalent nozzle radius (RJ. For the present study, the elliptical sonic nozzle of the type mentioned above was chosen, as it offered simplicity for manufacturing and carrying out computations, but has all the complex features associated with the three dimensional jets. A systematic study to understand the mean flow structure and the effect of important governing parameters like ratio and pressure ratio on the flow development process of the jet issuing from Navier-Stokes equations. The experimental study revealed many interesting flow features. It was found that the Underexpanded jet issuing from elliptical sonic nozzle spreads rapidly in the minor axis plane while it maintains almost constant width or contracts in the major axis plane. However, the gross spreading of this jet is much higher compared to the axisymmetric jet. The higher spreading rates experienced in the minor axis plane compared to the major axis plane of this 'et, results in the jet width in the minor axis plane to become higher than that in the major axis plane. The longitudinal location, where this occurs is called the axis switching location. This kind of axis switching phenomenon is known to exist for subsonic elliptical jets. However, for the present supersonic jets, the axis switching locations are much closer to the nozzle exit compared to the subsonic cases reported. It was further found that this location strongly depends on the pressure and aspect ratios. A critical pressure ratio was found to exist for each nozzle at which the axis switching location is the farthest. Above the critical pressure ratio, the axis switching location was observed to move upstream with the increase in the pressure ratio and is controlled by the complex interactions of shock and expansion waves near the nozzle exit. Below the critical pressure ratio, the axis switching location moves upstream with the decrease in pressure ratio and is controlled by some kind of instability in the minor axis plane. The shock structure present in the underexpanded jet from an elliptical nozzle was also observed to depend on both pressure and aspect ratios. For some aspect ratios and pressure ratios, the shock pattern observed in both the major and minor axis planes are similar to that of an axisymmetric jet, where the incident barrel shock and the Mach reflection (from the edges of the Mach disk) are present. But for all other cases, this shock continues to be seen only in the major axis plane. Whereas, in the minor axis plane, the incident shock is absent in the shock pattern. Detailed measurement in the jet cross sectional planes, for the case of aspect ratio 2.0 nozzle, shows that the cross sectional shape changes along the length and it becomes almost a circle at the axis switching location. Further downstream, the jet spreads rapidly in the minor axis plane whereas no significant change in the width of the jet in the major axis plane is observed. Far downstream, the jet boundary appears like a distorted ellipse with its major and minor dimensions lying respectively in the minor and major axis planes of the nozzle. The elongated shape of the jet cross sections at locations downstream of the axis switching point gives the impression that the entire flow in the major axis plane is turned towards the minor axis plane. This effect appears to be predominant at high pressure ratios. The computed near field shock structure in the planes of symmetry, pitot pressure distributions, cross sectional shape of the jet and the spreading pattern agree very well with the experimental results. In addition to this, the present computational method gives the detailed near field flow structure including the azimuthal extent of the incident shock, cross flow details and distributions of flow variables. It is shown that the present inviscid methodology can also predict the axis switching point accurately if it occurs before the formation of the Mach disk and it demonstrates that the jet growth phenomenon in the near field, atleast, is mainly controlled by the inviscid flow process. The computed results have shown that changes in the jet cross sectional shape in the near field is caused mainly by the interaction of compression and expansion waves with each other and with the constant pressure boundary. The inviscid method seems to be able to capture the complicated secondary cross flow structure (indicating presence of longitudinal vortices) of the elliptical jet. The complex mean flow structure in the near field region of the jet issuing from elliptical nozzles and the effect of nozzle aspect ratio and pressure ratio on the structure are brought out clearly in the present study. The mechanism governing the spreading and the axis switching characteristics are also brought out. Thus the present experimental and computational investigations give a comprehensive understanding of the mean flow structure of the underexpanded jets issuing from elliptical nozzles. Further studies are required to understand the other aspects of the elliptical jets as well as other three-dimensional jets. Some of these studies are identified for future work.

Rapid mixing and spreading of supersonic jets are two important characteristics in supersonic ejectors, noise reduction in jets and fuel mixing in supersonic combustion. It helps in changing the acoustic and thermal signature in supersonic exhaust. The supersonic nozzles in most cases result in compressible mixing layers. The subsonic nozzles form incompressible mixing layers but at high Mach numbers even they form compressible mixing layers. Compressible mixing layers have been found to have much lower mixing and spreading rates than incompressible mixing layer Birch & Eggers (1972). In order to enhance the spreading and mixing of mixing layers from supersonic nozzles various active and passive methods have been deviced. Active methods include fluid injection, fluid lobes and plasma actuation. Passive methods are mostly based on modifying the nozzle geometry such that the fluid expansion is ideal or the shock cell is broken. Many nozzles with exotic shapes have been developed to obtain mixing enhancements in supersonic jets Gutmark et al. (1995). To achieve enhanced mixing an innovative nozzle named as the Elliptic Sharp Tipped Shallow (ESTS) lobed nozzle has been developed in L.H.S.R., I.I.Sc., India Rao & Jagadeesh (2014). This nozzle has a unique geometry involving elliptical lobes and sharp tips. These lobes are generated using a simple manufacturing process from the throat to the exit. This lobed and sharp tipped structure introduces stream wise vortices and azimuthal velocity components which must help in enhanced mixing and spreading. The ESTS lobed nozzle has shown mixing enhancement with 4 lobes. The spreading rate was found to be double of the reference conical nozzle. This thesis is motivated by the need to investigate the flow physics involved in the ESTS lobed nozzle. The effect of varying the number of lobes and the design Mach number of the nozzle on the mixing and spreading characteristics will be further discussed. Visualisation studies have been performed. The schlieren and planar LASER Mie scattering techniques have been used to probe the flow. Instantaneous images were taken at axial planes with the reference conical and ESTS nozzles with three, four, five and six lobes. The nozzles are for design Mach number 2.0 and 2.5. The stagnation chamber pressure was maintained to obtain over expanded, ideally expanded and under expanded flows. LASER scattering was obtained by seeding the flow with water to observe the behaviour of the primary flow. The condensation of moisture due to the cold primary flow mixing with the ambient air was exploited to scatter laser and observe the flow structures in the mixing layer. A comparison of the images of the reference conical nozzle and the ESTS lobed nozzles shows changes in the mixing layers due to the ESTS lobed nozzles. The image of the reference conical nozzle shows a distinct potential core and mixing layers all along the length of the image. For the ESTS lobed nozzles this distinction becomes unclear shortly after the nozzle exit. Thus mixing of the primary flow and ambient air is seen to be enhanced in the case of all the ESTS lobed nozzles. The flow in the case of the ESTS lobed nozzles if found to be highly non axis symmetric. The starting process of the nozzles has been visualised using time resolved schlieren. Image processing was performed on the nozzles to quantify the spread rate. The shock structure of the nozzles has been studied and found to be modified due to the lobed geometry. The level of convolution of the mixing layer due to the lobed structure has been studied using fractal analysis. The four lobed nozzle was found to have the highest spread rate and th most convoluted shear layer. Hence this nozzle was further studied using background oriented schlieren and particle image velocimetry to quantify the flow field. These experimental results have been compared with CFD simulations using the commercial software CFX5. The computations and experiments don’t match accurately but the trends match. This allows for simulations to be used as a good first approximation. The acoustic properties of a jet are dependent on the flow structure behaviour. The ESTS lobes have been found to change the flow structure. Hence the ESTS lobed nozzle was predicted to change the acoustic signature of the flow. The acoustic measurements of the flow were carried out at National Aerospace Laboratories, Bengaluru. The screech of the overexpanded flow was seen to be eliminated and the overall sound levels were found to have been reduced in all cases. Thus the lobed nozzle was found to have acoustic benefits over the reference conical nozzle. Thus the ESTS lobed nozzle has been studied and compared with the conical nozzle using several methods. The changes due to the lobed structure have been studied quantitatively. Future studies would focus on the change in thrust due to the lobed structure. Also new geometries have been proposed inspired by the current design but with possible thrust benefits or manufacturing benefits.

Dans le but de réduire le bruit de jet, source principale de nuisance sonore au décollage d'un avion, une compréhension fine des mécanismes aéroacoustiques mis en jeu est nécessaire. Les structures cohérentes de grande échelle se développant dans la couche de mélange d'un jet semblent responsables d'une part importante du bruit observé en champ lointain, surtout dans les basses fréquences. Une approche permettant d'étudier ces structures turbulentes est fournie par la théorie de stabilité, notamment au moyen des équations de stabilité parabolisées (PSE). L'étude de ces ondes d'instabilité est alors complémentaire d'autres approches (LES ou expériences), puisqu'elle permet de mettre en évidence la nature et la dynamique de ces structures, également présentes dans les résultats de simulations ou de mesures.Au cours de ces travaux de thèse, nous nous sommes intéressés aux structures cohérentes se développant dans des jets à double flux étudiés au cours du projet européen CoJeN (Coaxial Jet Noise). En particulier, nous avons exploité une base de données issues de mesures de fluctuations de pression réalisées en champ proche et en champ lointain de ces jets. Nous avons alors pu comparer les résultats de notre modélisation PSE à ces mesures en périphérie immédiate du jet, confirmant ainsi la pertinence d’un tel modèle, même dans des configurations aussi complexes. De plus, le calcul du rayonnement acoustique en champ lointain engendré par les fluctuations de pression modélisées nous a permis de faire des comparaisons directes avec les niveaux et les directivités mesurés. Nous avons ainsi pu mettre en évidence quantitativement la contribution de ces structures turbulentes de grande échelle au bruit total rayonné par le jet. / Increasingly stringent aircraft noise regulations require the development of innovative noise reduction strategies. Jet noise is a dominant acoustic component during take-off and a fine understanding of the underlying aeroacoustics mechanisms is then necessary. Large-scale coherent structures that develop in the mixing layer of jets appear to be the dominant acoustic source responsible for the lowfrequency far-field noise observed at low emission angles. A stability analysis based on the parabolized stability equations (PSE) is a suitable tool for studying these coherent structures, revealing the nature and the dynamics of the fluctuations obtained by simulations or experiments. The present work is focused on coherent structures developing in the two mixing layers of dualstream jets studied in the course of the European project CoJeN (Coaxial Jet Noise). In particular, pressure fluctuations measurements acquired in the near and far fields of two coaxial jets have been thoroughly analyzed. A direct comparison of these experimental results with linear PSE calculations has been performed in the vicinity of the jets, referred to as the linear-hydrodynamic region, confirming the relevance of the approach even in such complex industrial configurations. Furthermore, the acoustic projection to the far-field of the wavepackets issued by this model and calibrated in the near-field allows a direct comparison of the acoustic levels and directivity with far field sound measurements. A quantitative assessment of the contribution of the instability waves to the total jet noise measured has therefore been obtained.