A concentric pneumatic nebulizer (CPN) and a custom designed flow focusing nebulizer (FFN) are characterized. As will be shown, the classical Nukiyama-Tanasawa and Rizk-Lefebvre models lead to erroneous size prediction for the concentric nebulizer under typical operating conditions due to its specific design, geometry, dimension and different flow regimes. The models are then modified to improve the agreement with the experimental results. The size prediction of the modified models together with the spray velocity characterization are used to determine the overall nebulizer efficiency and also employed as input to a new Maximum Entropy Principle (MEP) based model to predict joint size-velocity distribution analytically. The new MEP model is exploited to study the local variation of size-velocity distribution in contrast to the classical models where MEP is applied globally to the entire spray cross section. As will be demonstrated, the velocity distribution of the classical MEP models shows poor agreement with experiments for the cases under study. Modifications to the original MEP modeling are proposed to overcome this deficiency. In addition, the new joint size-velocity distribution agrees better with our general understanding of the drag law and yields realistic results. / PhD

Spray models are increasingly becoming the principal tools in the design and development of gas turbine combustors. Spray modeling requires a knowledge of the liquid atomization process, and the sizes and velocities of subsequently formed droplets as initial conditions. In order to have a better understanding of the liquid atomization process,the breakup characteristics of plane liquid sheets in co-flowing gas streams are investigated by means of linear and nonlinear hydrodynamic instability analyses. The liquid sheet breakup process is studied for initial sinuous and varicose modes of disturbance. It is observed that the sheet breakup occurs at half-wavelength intervals for an initial sinuous disturbance and at full-wavelength intervals for an initial varicose disturbance. It is also found that under certain operating conditions, the breakup process is dictated by the initial varicose disturbance compare to its sinuous counterpart. Further, the breakup process is studied for the combined mode and it is found that the sheet breakup occurs at half- or full-wavelength intervals depending on the proportion of the individual sinuous and varicose disturbances. In general, the breakup length decreases with the increase in the Weber number, gas-to-liquid velocity and density ratios. A predictive model of the initial droplet size and velocity distributions for the subsequently formed spray is also formulated here. The present model incorporates the deterministic aspect of spray formation by calculating the breakup length and the mass-mean diameter and the stochastic aspect by statistical means through the maximum entropy principle based on Bayesian entropy. The two sub-models are coupled together by the various source terms signifying the liquid-gas interaction and a prior distribution based on instability analysis, which provides information regarding the unstable wave elements on the two liquid-gas interfaces. Experimental investigation of the breakup characteristics of the liquid sheet is performed by a high speed CCD camera and the measurement of the initial droplet size and distributions is conducted by phase-Doppler interferometry. Good agreement of the theoretical breakup length with the experiment is obtained for a planar, an annular and a gas turbine nozzle. The predicted initial droplet size and velocity distributions show reasonably satisfactory agreement with experimental data for all the three types of nozzles. Hence this spray model can be utilized to predict the initial droplet size and velocity distributions in sprays, which can then be implemented as a front-end subroutine to the existing computer codes.

Spray models are increasingly becoming the principal tools in the design and development of gas turbine combustors. Spray modeling requires a knowledge of the liquid atomization process, and the sizes and velocities of subsequently formed droplets as initial conditions. In order to have a better understanding of the liquid atomization process,the breakup characteristics of plane liquid sheets in co-flowing gas streams are investigated by means of linear and nonlinear hydrodynamic instability analyses. The liquid sheet breakup process is studied for initial sinuous and varicose modes of disturbance. It is observed that the sheet breakup occurs at half-wavelength intervals for an initial sinuous disturbance and at full-wavelength intervals for an initial varicose disturbance. It is also found that under certain operating conditions, the breakup process is dictated by the initial varicose disturbance compare to its sinuous counterpart. Further, the breakup process is studied for the combined mode and it is found that the sheet breakup occurs at half- or full-wavelength intervals depending on the proportion of the individual sinuous and varicose disturbances. In general, the breakup length decreases with the increase in the Weber number, gas-to-liquid velocity and density ratios. A predictive model of the initial droplet size and velocity distributions for the subsequently formed spray is also formulated here. The present model incorporates the deterministic aspect of spray formation by calculating the breakup length and the mass-mean diameter and the stochastic aspect by statistical means through the maximum entropy principle based on Bayesian entropy. The two sub-models are coupled together by the various source terms signifying the liquid-gas interaction and a prior distribution based on instability analysis, which provides information regarding the unstable wave elements on the two liquid-gas interfaces. Experimental investigation of the breakup characteristics of the liquid sheet is performed by a high speed CCD camera and the measurement of the initial droplet size and distributions is conducted by phase-Doppler interferometry. Good agreement of the theoretical breakup length with the experiment is obtained for a planar, an annular and a gas turbine nozzle. The predicted initial droplet size and velocity distributions show reasonably satisfactory agreement with experimental data for all the three types of nozzles. Hence this spray model can be utilized to predict the initial droplet size and velocity distributions in sprays, which can then be implemented as a front-end subroutine to the existing computer codes.

The thesis deals with natural disasters from the statistical point of view and treats them as extremal observations. Basics of classical extreme value theory will be summarized and new approach based on maximum entropy principle will be proposed. Both methods will be used in order to analyze real discharge data observed at the river Vltava.

One of the main features of the third generation (3G) mobile networks is their capability to provide different classes of services; especially multimedia and real-time services in addition to the traditional telephony and data services. These new services, however, will require higher Quality of Service (QoS) constraints on the network mainly regarding delay, delay variation and packet loss. Additionally, the overall traffic profile in both the air interface and inside the network will be rather different than used to be in today's mobile networks. Therefore, providing QoS for the new services will require more than what a call admission control algorithm can achieve at the border of the network, but also continuous buffer control in both the wireless and the fixed part of the network to ensure that higher priority traffic is treated in the proper way. This paper proposes and analytically evaluates a buffer management scheme that is based on multi-level priority and Complete Buffer Sharing (CBS) policy for all buffers at the border and inside the wireless network. The analytical model is based on the G/G/1/N censored queue with single server and R (R¿2) priority classes under the Head of Line (HoL) service rule for the CBS scheme. The traffic is modelled using the Generalised Exponential distribution. The paper presents an analytical solution based on the approximation using the Maximum Entropy (ME) principle. The numerical results show the capability of the buffer management scheme to provide higher QoS for the higher priority service classes.

本篇論文主要討論在死亡率改善不確定性之下的避險策略。當保險公司負債面的人壽保單是比年金商品來得多的時候，公司會處於死亡率的風險之下。我們假設死亡率和利率都是隨機的情況，部分的死亡率風險可以經由自然避險而消除，而剩下的死亡率風險和利率風險則由零息債券和保單貼現商品來達到最適避險效果。我們考慮mean variance、VaR和CTE當成目標函數時的避險策略，其中在mean variance的最適避險策略可以導出公式解。由數值結果我們可以得知保單貼現的確是死亡率風險的有效避險工具。 / This paper proposes hedging strategies to deal with the uncertainty of mortality improvement. When insurance company has more life insurance contracts than annuities in the liability, it will be under the exposure of mortality risk. We assume both mortality and interest rate risk are stochastic. Part of mortality risk is eliminated by natural hedging and the remaining mortality risk and interest rate risk will be optimally hedged by zero coupon bond and life settlement contract. We consider the hedging strategies with objective functions of mean variance, value at risk and conditional tail expectation. The closed-form optimal hedging formula for mean variance assumption is derived, and the numerical result show the life settlement is indeed a effective hedging instrument against mortality risk.

[ES] La creciente preocupación sobre el efecto de la emisión de gases nocivos provenientes de motores de combustión interna alternativos (ICE) a la atmósfera ha llevado a los gobiernos a lo ancho del planeta a limitar la cantidad de dichas emisiones, particularmente en Europa a través de las normas EURO. La dificultad en cumplir dichas limitaciones ha llevado a la industria automovilística a cambiar el foco de motores de encendido por compresión (CI) o provocado (SI) hacia la electrificación o los combustibles libres de carbono. Sin embargo, esta transición no se puede llevar a cabo de manera sencilla en el corto y medio plazo, mientras que combustibles libres de carbono como el Hidrógeno (H2 ) o el Amoniaco (NH3 ) siguen produciendo algunos contaminantes como los Óxidos de Nitrógeno (NOx ), con los cuales hay que lidiar. Estas emisiones pueden ser particularmente dañinas para el ser humano ya que incrementan el riesgo de cáncer de pulmón. La Reducción Catalítica Selectiva (SCR) ha demostrado ser una tecnología eficaz para la reducción de este contaminante en particular. A través de una inyección de una Solución de Urea-Agua, junto con la energía térmica de los gases de escape, se genera una cantidad suficiente de NH 3 capaz de neutralizar los indeseados NOx en un catalizador de reducción. Con la inclusión de los SCR en automóviles ligeros además de su presencia tradicional en automóviles pesados, los SCR han sido el foco de la comunidad científica para mejorar el entendimiento de su principio de actuación, y mejorar su eficiencia en un entorno legislativo en el que los limites de emisión se han estrechado enormemente. Esta Tesis intenta ser parte de ese esfuerzo científico en caracterizar el proceso de inyección de UWS en su totalidad a través de un entorno computacional. El presente estudio tiene como objetivo proveer de un mejor entendimiento del proceso de atomización y degradación sufrido por los chorros de UWS. Las dinámicas no estacionarias que se dan lugar en la zonas cercana del chorro, añadido a la gran influencia de las características internas del inyector sobre el desarrollo del spray hacen que los métodos experimentales sean complicados para poder entender dicho proceso. Por otro lado, la Mecánica de Fluidos Computacional (CFD) presenta una alternativa. Para el propósito de esta Tesis, el CFD ha sido utilizado para caracterizar los sprays de SCR. Se intenta desarrollar y seleccionar los modelos más apropiados a chorros de baja velocidad, y establecer un conocimiento Una vez adquiridos dichos métodos, los mecanismos principales de rotura del chorro y de degradación de la urea se han analizan. En ese sentido, el uso de técnicas experimentales podrían ser sustituídos en el futuro para esta aplicación. Los métodos CFD son validados tanto en el campo cercano como en el lejano. Para el campo cercano, el tratamiento multi-fase se lleva a cabo a través de métodos de Modelo de Mezclas, o el método Volume-Of-Fluid. A través de ellos, la caracterización hidráulica de dos reconstrucciones del inyector de UWS se lleva a cabo. Subsiguientes análisis se llevan a cabo sobre las dinámicas de rotura de la vena líquida, descubriendo que mecanismos rigen el proceso. El estudio de campo lejano usa un Discrete Droplet Model (DDM) para lidiar con las fases líquidas y gaseosas. En él, la evaporación del agua y el proceso de termólisis de la urea han sido considerados y comparados con resultados experimentales con el fin de obtener una metodología fiel para su caracterización. Todo el conocimiento adquirido se aplica más tarde a un Close-Coupled SCR, en el cual condiciones de trabajo realista han sido consideradas. Además, una herramienta llamada Maximum Entropy Principle (MEP) es presentada. Por tanto, esta Tesis aporta una metodología valiosa capaz de predecir tanto el campo cercano como el lejano de chorros de UWS de una manera precisa. / [CA] La creixent preocupació sobre el efecte de l'emissió de gasos nocius provenients the motors de Combustió Interna Alternatius (ICE) a l'atmosfera ha dut als governs de tot el planeta a limitar la quantitat d'aquestes emisions, particularment a Europa mitjant les normes EURO. La dificultat de complir aquestes limitacions ha portat a l'industria automovilística a cambiar el focus de motors d'encedut per compresió (CI) o provocat (SI) cap a la electrificació o els combustibles lliures de carbó. No obstant això, aquesta transició no es pot dur a terme de manera senzilla , mentres que els combustibles lliures de carbó como l'Hidrogen (H2 ) o l'Amoniac (NH3 ) seguirien produint contaminants como els Óxids de Nitrogen (NOx ), amb els quals n'hi ha que bregar. Estes emissions poden ser particularment nocives per a l'esser humà ja que incrementen el risc de càncer de pulmó. La Reducció Catalítica Selectiva (SCR) ha demostrat ser una tecnología eficaç per a la reducció d'este contaminant en particular. Mitjançant una injecció d'una Solució D'Urea i Aigua, junt a l'energía térmica dels gasos d'fuita, es pot generar una quantitat suficiente de NH 3 capaç de neutralitzar els indesitjats NO x a un catalitzador de reducció. Amb l'inclusió dels SCR en automòvils lleugers a més de la seua tradicional presència en automòvils pesats, els SCR han segut el foc per a mijorar l'enteniment del seu principi d'actuació, i mijorar la seua eficiencia. Este estudi té como a objectiu proveir d'un mijor entenement del procés d'atomizació y degradació patit pels dolls de UWS. Les dinàmiques no estacionaries que es donen lloc en la zona propenca al doll, afegit a la gran influència de les característiques internes del injector sobre el desentroll de l'esprai, fan que els métods experimentals siguen complicats d'aplicar per entendre dit procés. Per un altre costat, la Mecànica de Fluïts Computacional (CFD) supon una alternativa que té certes avantatges. Per al propòsit d'esta Tesi, el CFD ha sigut utilitzat com la principal metodología per a caracteritzar elsesprais de SCR. Per mitjà de dits métodes, la Tesi vol desentrollar i seleccionar els models més apropiats que mitjos s'adapten a sprays de baixa velocitat, i establir un coneiximent per a posteriors estudis desentrollats sobre la mateixa temàtica. Una volta adquirits dits métodes, els mecanismes principals de trencament del doll, així com els de degradació de l'urea en amoníac s'analitzaran. En aquest sentit, l'us de técniques experimentals podría no ser utilitzat més en el futur per aquesta aplicació.Els métods CFD son aplicats i validats tant el el camp propenc com en el llunyà. Per al camp propenc, el tractament multi-component es porta a terme a través de métodes Eulerians-Eulerians, com el Model de Mescles, o el métode Volume-Of-Fluid. La caracterització hidràulica de dos reconstruccions de l'injector es porta a terme, els resultats del qual són comparats amb resultats experimentals. Subsegüents anàlisis es porten a terme sobre les dinàmiques de trencament de la vena líquida, descobrint qué mecanismes regeixen el procés. L'estudi de camp llunyà usa un Discrete Droplet Model (DDM) per a bregar en la fase líquida i gaseosa. En ell, l'evaporació del aigua y el procés de termòlisis de l'urea han sigut considerats i comparats amb el resultats experimentals amb la finalitat d'obtindre una metodología fidel per a la seua caracterització. Tot el coneixement obtingut s'aplica més tard a un Close-Coupled SCR, en el qual condicions de treball realistes han sigut considerades. Dels resultats obtinguts dels distints estudis, una ferramenta adicional anomenada Maximum Entropy Principle (MEP),capaç de predir el fenomen d'atomització dels doll de UWS sense la necessitat de realitzar simulacions del camp propenc, es presentat. Per tant, esta Tesi aporta una metodología capaç de predir tant el camp proper como el llunyà d'una manera precisa. / [EN] The increasing awareness of the effect of emitting harmful gases from Internal Combustion Engines (ICE) into the atmosphere has driven the governments across the globe to limit the amount of these emissions, par ticularly in Europe through the EURO norms. The difficulty to meet such limitations has driven the automotive industry to shift from traditional Compression Ignited (CI) or Spark Ignited (SI) engines toward electrification or carbon-free fuels. Nonetheless, this transition will not be easily done in the short and medium time frames, while carbon-free fuels such as Hydrogen (H2 ) and Ammonia (NH3 ) will keep producing certain pollutants such as Nitrogen Oxides (NOx ) which need taking care of. These emissions can be particularly hazardous for humans, increasing the risk of developing lung cancer. Selective Catalytic Reduction (SCR) is an effective technology for reducing this specific ICE contaminant. An injection of a Urea-Water Solution (UWS), together with the thermal energy of the combustion gases can generate a sufficient amount of NH 3 capable of neutralizing the unwanted NO x in a catalyst. With the fitting of SCR systems within light-duty applications, in addition to their traditional presence on heavy-duty usage, SCR has been on the focus to understand their working principle and improve their efficiency . This Thesis tries to become part of that scientific ensemble by characterizing the whole UWS injection process within a computational framework. The present research aims to provide a better understanding of the atomizing and degradation processes undergone by the UWS sprays. The transient dynamics taking place in the near-field region, added to the great influence of the inner-injector characteristics on the development of the spray make experimental approaches on such sprays challenging in providing such knowledge. Computational Fluid Dynamics (CFD) provide an alternative that has certain advantages. For this Thesis they have been adopted as the main methodology on characterizing SCR sprays. The Thesis tries to develop and select the appropriate models that best suit low-velocity sprays. With the suitable methods that best predict these sprays, the main jet breakup mechanisms, together with the urea-to-ammonia transformation will have their behavior analyzed. In that way, experimental techniques could be avoided for such applications. CFD is applied and validated both in the near-field and far-field regions. For the near-field, multi-component flows are treated through Eulerian-Eulerian such as the Mixture Model or the Volume-Of-Fluid method. Through them, a hydraulic characterization on two recon structions of the UWS injector is performed, with results compared with experimental data. Further analysis is done on the jet-to-droplet dynamics, assessing which mechanisms drove the process. The far-field analy sis uses a Discrete Droplet Model (DDM) for dealing with the gas and liquid phases. In it, the evaporation of water and the thermolysis process of the urea have been considered and again compared with experimental results to have a faithful methodology for its characterization. All the acquired knowledge has been later applied to a commercial Close-Coupled SCR, in which real-working conditions have been considered. From the results obtained from several studies, an additional tool called Maximum Entropy Principle (MEP), capable of predicting the UWS spray atomization phenomenon without the need to perform near-field simulations, has been provided. Accordingly, this Thesis provides a valuable methodology capable of predicting the near-field and far-field dynamics accurately thanks to its validation against experimental results from literature. Additionally, the MEP tool can be used independently for computational and experimental works to predict the performance of UWS atomizers.The work carried out presents a significant leap in the application of CFD tools in predicting low-velocity sprays. / Javier Marco Gimeno has been founded through a grant from the Government of Generalitat Valenciana with reference ACIF/2020/259 and financial support from the European Union. These same institutions, Government of Generalitat Valenciana and The European Union, supported through a grant for pre-doctoral stays out of the Comunitat Valenciana with reference CIBEFP/2021/11 the research carried out during the stay at Energy Systems, Argonne National Laboratory, United States of America. / Marco Gimeno, J. (2023). Computational study of Formation and Development of Liquid Jets in Low Injection Pressure Conditions. Focus on urea-water solution injection for exhaust gas aftertreatment [Tesis doctoral]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/198699