L’ajout de particules d’aluminium dans le chargement des moteurs à propergol solide améliore les performances propulsives, mais peut aussi entraîner différents phénomènes néfastes, dont des oscillations de pression. Des travaux de recherche sont réalisés depuis de nombreuses années afin d’améliorer la compréhension de ces phénomènes, notamment par l’utilisation de la simulation numérique. Cependant les données d’entrée de la simulation numérique, en particulier la taille et la vitesse initiale des particules d’aluminium dans l’écoulement, sont souvent difficiles à obtenir pour des propulseurs réels. L’ONERA développe depuis plusieurs années un montage d’ombroscopie permettant de visualiser les particules d’aluminium proches de la surface de petits échantillons en combustion. La présente étude porte sur le développement d’outils pour analyser les images expérimentales du montage d’ombroscopie et améliorer l’interaction avec la simulation numérique diphasique. Une première partie concerne des échantillons de propergol contenant des particules inertes, dont l’intérêt est de permettre de valider les méthodes de mesure sur des images relativement simple et avec des données de référence. Les outils mis en œuvre portent sur la détection et le suivi des particules dans des séquences d’image, ainsi que sur la localisation de la surface du propergol. Une bonne correspondance des distributions de taille a été obtenu avec les distributions de référence. La mise en vitesse des particules quittant la surface a été confrontée à un modèle simplifié de transport de particules dans un écoulement constant. L'utilisation de ce modèle a permis de souligner l'importance de la population de pistes détectées pour bien exploiter un profil de vitesse moyen, en particulier en termes de diamètre moyen. Une simulation numérique diphasique a ensuite été réalisée pour l’expérience d’ombroscopie. Différents paramètres ont été étudiées (type et taille de maillage, paramètres thermodynamiques...) afin d'obtenir un champ stationnaire simulé pour les gaz du propergol. Le mouvement des particules inertes simulées a pu être comparé aux profils expérimentaux pour différentes stratégies d'injection, soit en utilisant un diamètre moyen, soit à partir d’une distribution lognormale. L’autre partie de l'étude est consacrée à l’analyse des images expérimentales de la combustion de particules d’aluminium. La complexité des images dans ces conditions a conduit à utiliser une approche de segmentation sémantique par apprentissage profond, visant à classer tous les pixels de l'image en différentes classes, en particulier goutte d'aluminium et flamme d'aluminium. L’apprentissage a été mené avec une base restreinte d’images annotées en utilisant le réseau U-Net, diverses adaptations pour le traitement des images d’ombroscopie ont été étudiées. Les résultats sont comparés à une technique de référence basée sur une détection d’objets MSER. Ils montrent un net gain à l’utilisation de techniques neuronales pour la ségrégation des gouttes d'aluminium de la flamme. Cette première démonstration de l'utilisation de réseau de neurones convolutifs sur des images d'ombroscopie propergol est très prometteuse. Enfin nous traçons des perspectives côté analyse d’image expérimentales et simulation numériques pour améliorer l’utilisation conjointe de ces deux outils dans l’étude des propergols solides. / The addition of aluminum particles in the solid propellant loading improves propulsive performance, but can also lead to various adverse phenomena, including pressure oscillations. Research has been carried out for many years to improve the understanding of these phenomena, particularly through the use of numerical simulation. However, the input data of the numerical simulation, especially the size and the initial velocity of the aluminum particles in the flow, are often difficult to obtain for real rocket motors. ONERA has been developing a shadowgraphy set-up for several years to visualize aluminum particles near the surface of propellant samples in combustion. The present study deals with the development of tools to analyze the experimental images of the shadowgraphy set-up and to improve the interaction with the two-phase digital simulation. A first part concerns propellant samples containing inert particles, which interest is to make it possible to validate the measurement methods on relatively simple images and with reference data. The implemented tools concern the detection and the tracking of particles in image sequences, as well as the location of the surface of the propellant. Good correspondence of size distributions was obtained with reference distributions. The velocity of particles leaving the surface has been confronted with a simplified model of particle transport in a constant flow. The use of this model has made it possible to emphasize the importance of the population of detected tracks in order to make good use of an average velocity profile, particularly in terms of average diameter. A two-phase flow simulation was then carried out for the shadowgraphy experiment. Different parameters were studied (type and size of mesh, thermodynamic parameters ...) in order to obtain a simulated stationary field for propellant flow. The movement of the simulated inert particles could be compared to the experimental profiles for different injection strategies, either using a mean diameter or using a lognormal distribution. The other part of the study is devoted to the analysis of experimental images of the combustion of aluminum particles. The complexity of the images under these conditions has led to the use of a deep learning semantic segmentation approach, aiming to classify all the pixels of the image into different classes, in particular aluminum droplet and flame. The learning was conducted with a restricted base of annotated images using the U-Net neural network, with various adaptations on the processing of the experimental images were studied. The results are compared to a reference technique based on MSER object detection. They show a clear gain in the use of neural techniques for the segregation of aluminum drops of the flame. This first demonstration of the use of convolutional neuronal network on propellant shadowgraphy images is very promising. Finally, we draw perspectives on experimental image analysis and numerical simulation to improve the joint use of these two tools in the study of solid propellants.

Concerns about the use of certain chemical species within the aerospace field are growing in recent years. A European regulation, REACh, now makes the use of hydrazine uncertain in – among others- attitude control thrusters. Green monopropellants, which are alternatives for this species already exist, but they all require a catalyst to react. Catalysts constitute the limiting factor for the lifespan of satellites because of the number of thermal cycles they endure. A joint project between ONERA, the French aerospace research center and CNES, the French space agency, was born to develop a high-performance green monopropellant thruster operating without any catalyst. Sizing the thruster and particularly its combustion chamber is not an easy task because of the explosive properties and the lack of knowledge regarding the monopropellant reaction process. The thesis aims at simulating the flow in a combustion chamber using CNES05, a new promising green monopropellant. This monopropellant has a very low vapor pressure and is an energetic liquid. As such, its reaction above a certain temperature -which is called decompositionis not well understood and must be observed closely. For this matter, a test bench was created, and it paved the way for the development of a specific model of decomposition. Indeed, even if the CNES05 decomposition cannot be modeled with the classical theory of isolated droplets, the setup showed us the order of magnitude of the reaction kinetics and the presence of a break up phenomenon. Using this model, the simulations of the flow inside the combustion chamber give us the heat flux profile through its walls, a sizing parameter for the thruster. Large recirculation zones are observed and the influence of the angle of injection seems to be the major injection parameter of influence. The sensitivity of the parameters used in the model is also studied.

<p dir="ltr"> As part of humanity's constant effort to explore and expand, the race to establish a cislunar economy is afoot. The Cryobubbles experiment seeks to advance the state of the art in long-term cryogenic propellant management, a field that is an integral part of exploring the next great frontier. The Cryobubbles experiment was created to understand an unexpected bubble formation phenomenon during a tank-pressure control strategy test of NASA's Zero Boil-off Tank (ZBOT) on the International Space Station. A few hypotheses about the causes of bubble formation were developed, and thanks to a NASA flight opportunities grant, the Cryobubbles experiment was designed and manufactured with a \$95,000 budget to test these hypotheses on a parabolic flight.</p><p dir="ltr"> This master's thesis explains the importance of understanding the causes of bubble formation and the thermodynamic operating point chosen to replicate ZBOT conditions. The operation of the experiment and the design of technologies developed to make these operations work are also discussed. Some notable technologies include an insulation sizing algorithm created to maintain the experiment operating point, cryogenically rated viewports that allow for high-quality video recording of the experiment, and copper coils sized to allow for the safe use of noncryogenic equipment in a cryogenic test setup. All of these designs were constrained by a budget, a fast-approaching flight test deadline, and safety considerations.</p><p dir="ltr"> At the time of this writing, the experiment has been fully designed, manufactured, and assembled. The next step is to conduct testing.</p>

In the present thesis, the objective was to find the maximum amount of payload mass that can be put into a 500 km polar orbit by a 1400 kg air-launched multi-stage rocket launched from a fighter jet platform. To fulfill the objective an algorithm incorporating several modules was developed. The modules performed calculations based on theoretical models and literature values to arrive at optimal design variables. From the design the maximum payload mass was able to be derived and it was concluded that a three-stage launch vehicle was able to deliver a 22.0 kg payload to the desired orbit. / I den här avhandlingen var syftet att hitta den maximala mängden nyttolastmassa som kan transporteras av en 1400 kg flerstegsraket uppskjuten från luften till en 500 km polär bana. För att uppfylla målet utvecklades en algoritm med flera moduler. Modulerna utförde beräkningar baserade på teoretiska modeller och litteraturvärden för att komma fram till optimala designvariabler. Från konstruktionen kunde den maximala nyttolastmassan härledas och det konstaterades att en trestegsraket kunde leverera en nyttolast på 22.0 kg till den önskade omloppsbanan.

In the present thesis, the objective was to find the maximum amount of payload mass that can be put into a 500 km polar orbit by a 1400 kg air-launched multi-stage rocket launched from a fighter jet platform. To fulfill the objective an algorithm incorporating several modules was developed. The modules performed calculations based on theoretical models and literature values to arrive at optimal design variables. From the design the maximum payload mass was able to be derived and it was concluded that a three-stage launch vehicle was able to deliver a 22.0 kg payload to the desired orbit. / I den här avhandlingen var syftet att hitta den maximala mängden nyttolastmassa som kan transporteras av en 1400 kg flerstegsraket uppskjuten från luften till en 500 km polär bana. För att uppfylla målet utvecklades en algoritm med flera moduler. Modulerna utförde beräkningar baserade på teoretiska modeller och litteraturvärden för att komma fram till optimala designvariabler. Från konstruktionen kunde den maximala nyttolastmassan härledas och det konstaterades att en trestegsraket kunde leverera en nyttolast på 22.0 kg till den önskade omloppsbanan.

The objective of this study was to design a launch vehicle capable of deploying a nanosatellite into a Sun-synchronous orbit at 500 km orbital altitude from the JAS 39E/F Gripen fighter aircraft. This was achieved by first performing theoretical calculations for the required nozzles and solid propellant grain configurations for the first two solid stages, followed by the necessary liquid propellant configuration for the third stage. Lastly, two methods were investigated in solving the trajectory ascent problem for the launch vehicle design. First, by stating the trajectory problem as an initial value problem while guessing a Sigmoidal steering law. Secondly, by stating the trajectory problem as a boundary value problem. The latter was solved by transcribing the trajectory problem into a nonlinear program where a parametric steering law was derived using a Sequential quadratic programming algorithm.Ultimately, resulting in a launch vehicle design with a gross lift-off mass of 1,289 kg, capable of launching an 8.4 kg payload into the targeted orbit, with suggested modifications to increase the possible payload mass to 12.9 kg. / Målet med den här studien var att designa en luftlanserad trestegsraket kapabel till att transportera en nanosatellit upp till en solsynkron omloppsbana på 500 km altitud från ett JAS 39E/F Gripen jaktflygplan. Det gjordes genom att först beräkna de nödvändiga dysorna och krutladdningsformerna för de två första stegen tillsammans med en flytande bränsledesign för det tredje steget. Två metoder undersöktes för bananalysen. Först genom att anta en Sigmoidal styrningsfunktion för pitchen, sedan genom att transkribera problemet till ett icke-linjärt program där en parametrisk styrlag togs fram genom att använda en Sequential quadratic programming algoritm. Slutligen presenterades en raketdesign med en total vikt på 1 289 kg, kapabel till att skjuta upp en nyttolast på 8,4 kg till den önskade omloppsbanan tillsammans med förslag som kan öka den möjliga nyttolasten till 12,9 kg.

<p dir="ltr">Burning rate as a function of pressure is one of the primary evaluation metrics of solid propellants. Most solid propellant burning rate measurements are made at a nearly constant pressure using a variety of measurement approaches. This type of burning rate data is highly discretized and requires many tests to accurately determine the burning rate response to pressure. It would be moreefficient to measure burning rate dynamically as pressures are varied. Techniques used to make transient burning rate measurements are reviewed briefly and initial results using a microwave interferometry (MI) technique are presented. The MI method used in tandem with a closed bomb enables nearly continuous measurement of burning rates for self-pressurizing burns, capturing burning rate data over a wide range of pressures. This approach is especially useful for characterization of propellants with complex burning behaviors (e.g., slope breaks or mesa burning). The burning rates of three research propellants were characterized over a pressure range of 0.101-24.14 MPa (14-3500 psi). One research propellant exhibited a slope break at a pressure of 6.63 MPa (960 psi). Using MI in a closed pressure vessel, 14 propellant strand burns resulted in a nearly continuous burning rate curve over a pressure range of 0.41-24.13MPa (60-3500psi) that reasonably matched conventional burning rate measurements. The development of this technique provides an opportunity to quickly characterize the burning rate curve of solid propellants with greater fidelity and efficiency than traditional quasi-static pressure testing techniques.</p>

This thesis presents the results and analyses of computational studies on certain problems of combustion instability in solid propellants. Specifically, effects of relaxing certain assumptions made in previous models of unsteady burning of solid propellants are investigated. Knowledge of unsteady burning of solid propellants is essential in studying the phenomenon of combustion instability in solid propellant rocket motors. In Chapter 1, an introduction to different types of unsteady combustion investigated in this thesis, such as 1) intrinsic instability, 2) pressure-driven dynamic burning, 3) extinction by depressurization, and 4) L* -instability, is given. Also, a review of previous experimental and theoretical studies of these phenomena is presented. From this review it is concluded that all the previous studies, which investigated the unsteady combustion of solid propellants, made one or more of the following assumptions: 1) quasi-steady gas-phase (QSG), 2) quasi-steady condensed phase reaction zone (QSC), 3) small perturbations, and 4) unity Lewis number. These assumptions limit the validity of the results obtained with such models to: 1) relatively low frequencies (< 1 kHz) of pressure oscillations and 2) small deviations in pressure from its steady state or mean values. The objectives of the present thesis are formulated based on the above conclusions. These are: 1) to develop a nonlinear numerical model of unsteady solid propellant combustion, 2) to relax the assumptions of QSG and QSC, 3) to study the consequent effects on the intrinsic instability and pressure-driven dynamic burning, and 4) to investigate the L* -instability in solid propellant rocket motors. In Chapter 2, a nonlinear numerical model, which relaxes the QSG and QSC assumptions, is set up. The transformation and nondimensionalization of the governing equations are presented. The numerical technique based on the method of operator-splitting, used to solve the governing equations is described. In Chapter 3, the effect of relaxing the QSG assumption on the intrinsic instability is investigated. The stable and unstable solutions are obtained for parameters corresponding to a typical composite propellant. The stability boundary, in terms of the nondimensional parameters identified by Denison and Baum (1961), is predicted using the present model. This is compared with the stability boundary obtained by previous linear stability theories, based on activation energy asymptotics in the gas-phase, which employed QSC and/or QSG assumptions. It is found that in the limit of large activation energy and low frequencies, present result approaches the previous theoretical results. This serves as a validation of the present method of solution. It is confirmed that relaxing the QSG assumption widens the stable region. However, it is found that a distributed reaction in the gas-phase destabilizes the burning. The effect of non-unity Lewis number on the stability boundary is also investigated. It is found that at parametric values corresponding to low pressures and large flame stand-off distances, small amplitude, high frequency (at frequencies near the characteristic frequency of the gas-phase) oscillations in burning rate appear when the Lewis number is greater than one. In Chapter 4, the effect of relaxing the QSG assumption is further investigated with respect to the pressure-driven dynamic burning. Comparison of the pressure-driven frequency response function, Rp, obtained with the present model, both in the QSG and non-QSG framework, with those obtained with previous linear stability theories invoking QSG and QSC assumptions are made. As the frequency of pressure oscillations approaches zero, |RP| predicted using present models approached the value obtained by previous theoretical studies. Also, it is confirmed that the effect of relaxing QSG is to decrease the |Rp| at frequencies near the first resonant frequency. Moreover, relaxing QSG assumption produces a second resonant peak in |Rp| at a frequency near the characteristic frequency of the gas-phase. Further, Rp calculated using the present model is compared with that obtained by a previous linear theory which relaxed the QSG assumption. The two models predicted the same resonant frequencies in the limit of small amplitudes of pressure oscillations. Finally, it is found that the effect of large amplitude of pressure oscillations is to introduce higher harmonics in the burning rate and to reduce the mean burning rate. In Chapter 5, first the present non-QSC model is validated by comparing its results with that of a previous non-QSC model for radiation-driven burning. The model is further validated for steady burning results by comparing with experimental data for a double base propellant (DBP). Then, the effect of relaxing the QSC assumption on steady state solution is investigated. It is found that, even in the presence of a strong gas-phase heat feedback, QSC assumption is valid for moderately large values of condensed phase Zel'dovich number, as far as steady state solution is concerned. However, for pressure-driven dynamic burning, relaxing the QSC assumption is found to increase |RP| at all frequencies. The error due to QSC assumption is found to become significant, either when |Rp| is large or as the driving frequency approaches the characteristic frequency of the condensed phase reaction zone. The predicted real part of the response function is quantitatively compared with experimental data for DBP. The comparison seems to be better with a value of condensed phase activation energy higher than that suggested by Zenin (1992). In Chapter 6, burning rate transients for a DBP during exponential depressurization are computed using non-QSG and non-QSC models. Salient features of extinction and combustion recovery are predicted. The predicted critical initial depressurization rate, (dp/dt)i, is found to decrease markedly when the QSC assumption is relaxed. The effect of initial pressure level on critical (dp/dt)i is studied. It is found that the critical (dp/dt)i decreases with the initial pressure. Also, the overshoot of burning rate during combustion recovery is found to be relatively large with low initial pressures. However as the initial pressure approached the final pressure, the reduction in initial pressure causes a large increase in the critical (dp/dt)i. No extinction is found to occur when the initial pressure is very close to the final pressure. In Chapter 7, a numerical model is developed to simulate the L* -instability in solid propellant motors. This model includes a) the propellant burning model that takes into account nonlinear pressure oscillations and that takes into account an unsteady gas- and condensed phase, and b) a combustor model that allows pressure and temperature oscillations of finite amplitude. Various regimes of L* -burning of a motor, with a typical composite propellant, namely 1) steady burning, 2) oscillatory burning leading to steady state, 3) oscillatory burning leading to extinction, 4) reignition and 5) chuffing are predicted. The predicted dependence of frequency of L* -oscillations on mean pressure is compared with one set of available experimental data. It is found that proper modeling of the radiation heat flux from the chamber walls to the burning surface may be important to predict the re-ignition. In Chapter 8, the main conclusions of the present study are summarized. Certain suggestions for possible future studies to enhance the understanding of dynamic combustion of solid propellants are also given.

La thèse porte sur l'étude d'un système de contrôle de la pression au sein de réservoirs d’ergols cryogéniques (dihydrogène ou dioxygène) dans le cadre de missions spatiales de longue durée. Ce système de contrôle doit permettre d’éviter la perte excessive d’ergols associée à un contrôle basique de la pression consistant en l’évacuation directe d’une fraction du fluide. Le système alternatif étudié, dit de contrôle thermodynamique, repose sur la réinjection d’un spray sous-refroidi permettant d’abaisser température et pression dans un réservoir soumis à une chauffe (en pratique, le rayonnement solaire). Nous avons analysé les performances de ce système en développant en parallèle un banc d'essai adapté aux conditions du laboratoire, et un modèle théorique de type 0D, à base de bilans globaux, de l’effet du spray sous-refroidi sur les caractéristiques thermodynamiques de l’enceinte. La confrontation des mesures et des calculs a permis de valider l’outil de modélisation théorique. Les caractéristiques du système réel (ensemble des circuits d'injection et de refroidissement) ont ensuite été introduites dans le modèle théorique afin de quantifier de façon réaliste les gains offerts par le système de contrôle thermodynamique, i.e. en prenant en compte la pénalité en masse associée à ces circuits. Des solutions optimales de contrôle de la pression au sein de réservoirs d’ergols cryogéniques lors de missions spatiales de longue durée ont pu alors être proposées. / This PHD thesis deals with the study of a pressure control system inside a cryogenic propellant tank for long duration space missions. This system must be able to reduce propellant losses induced by direct venting, which is the simplest pressure control system. The alternative system which has been studied, called Thermodynamic Vent System (TVS), is based on reinjecting subcooled spray to make the pressure and temperature decrease in a heated tank. The system performance has been analysed developing simultaneously an experimental setup, adapted to laboratory environment, and a theoretical 0D-modelling of subcooled spray impact on tank's thermodynamic characteristics. Facing experimental and theoretical results has permitted to validate the 0D-modelling tool. Inputing the real system characteristics in theoretical modelling has enabled to assess the effective gains of thermodynamic vent system. Finally, optimal solutions to control pressure inside a cryogenic propellant tank for long duration space missions have been proposed.

The work presented here pertains to investigations on gas-on-liquid type of impinging injectors with a generic approach with prospective applications in several areas, and at places with particular emphasis on cryogenic or semi-cryogenic liquid propellant rockets. In such rockets, one of the components arrives at the injector in a gaseous phase after passing through the regenerative coolant passages or a preceding combustion stage. Most often, the injectors in such systems are of shear coaxial type. The shear coaxial injectors suffer from several disadvantages like complexity in design, manufacture and quality control. Adoption of impinging jet configuration can alleviate these problems in addition to providing further benefits in terms of cost, robustness in high temperature environment and manifolding. However, there is very little literature on gas-on-liquid injectors either in this context or in any other Even for the simplest form of impinging injectors such as like-on-like doublets, literature provides no conclusive direction at describing a spray from the theoretical models of physical mechanisms. Empirical approach is still the prime mode of obtaining a proper understanding of the phenomena. Steady state spray characterization includes mainly of describing the spatial distribution of liquid mass and drop size distribution as a function of geometric and injection parameters. The parameters that are likely to have an impact on spray characteristics are orifice diameter, ratio of orifice length to diameter, pre-impingement length of individual jets, inter orifice distance, impingement angle, jet velocity and condition of the jet just before impingement. The gas-on- liquid configuration is likely to experience some qualitative changes because of the expansion of the gas jet. The degree to which each one of the above variables influences the drop size and mass distribution having implication to combustion performance forms the core theme of the thesis. A dedicated experimental facility has been built, calibrated and deployed exhaustively. While spray drop size measurement is done largely by a laser diffraction instrument, some of the cases warranted an image processing technique. Two different image processing algorithms are developed in-house for this purpose. The granulometric image processing method developed earlier in the group for cryogenic sprays is modified and its applicability to gas-on-liquid impinging sprays are verified. Another technique based on the Hough transform which is feature extraction technique for extracting quantitative information has also been developed and used for gas-on-liquid impinging injectors. A comparative study of conventional liquid-on-liquid doublet with gas-on-liquid impinging injectors are first made to establish the importance of studying gas-on-liquid impinging injectors. The study identifies the similarities and differences between the two types and highlights the features that make such injectors attractive as replacements to coaxial configuration. Spray structure, drop-size mass distributions are quantified for the purpose of comparison. This is followed by a parametric study of the gas-on-liquid impinging injectors carried out using identified control variables. Though momentum ratio appeared to be a suitable parameter to describe the spray at any given impingement angle, the variations due to impingement angle had to be factored in. It was found that normal gas momentum to liquid mass is an apt parameter to generalize the spray characteristics. It was also found that using identical nozzles for desired mass ratio could lead to rather large deflection of the spray which may not be acceptable in combustion chamber design. One way of overcoming this is to work with unequal orifice sizes for gas and liquid. It was found that using smaller gas orifice for a given liquid orifice resulted in lower SMD (Sauter Mean Diameter of the spray) for constant gas and liquid mass flow rates. This is attributable to the high dynamic pressure of gas in the case of smaller gas orifices for the same mass flow rate. The impinging liquid jets with unequal momentum in the doublet configuration would result in non-uniform mass and mixture ratio distribution within the combustion chamber which may have to operate under varying conditions of mass flow rates and/or mixture ratio. The symmetrical arrangement of triplet configuration can eliminate this problem at the same time generating finely atomized spray and a homogeneous mixture ratio. In view of the scanty literature available in this field, the atomization characteristics of the spray generated by liquid centered triplet jets are examined in detail. It was found that as in the case of gas-on-liquid impinging doublets, normal gas momentum to liquid mass is an ideal parameter in describing the spray. Variants of this configuration are studied recently for many other applications too. As done in the case of doublets, efforts have also been made to compare gas centered triplet to liquid-liquid triplet. It was found that the trend of SMD of gas centered triplet is different from that of liquid-liquid triplets, thus pointing to a different mechanism in play. The SMD in the case of liquid-liquid triplets decreases monotonically with increasing specific normal momentum. It is to be noted that specific normal momentum is an ideal parameter for describing the spray characteristics of liquid-liquid triplets and doublets. In the case of gas centered triplet the SMD first increases and then decreases with specific normal momentum, the inversion point depends on the gas mass flow rate for a constant specific normal momentum. The thesis concludes with a summary of the major observations of spray structures for all the above injector configurations and quantifies the parametric dependencies that would be of use to engineering design