This thesis describes the issue of PN junction of photovoltaic cells, photovoltaic effect physics, basic materials used in photovoltaic and their properties, important for the area of photovoltaic. It deals with the problems of magnetism focused on electromagnetic fields. Experimental facility for measuring the influence of magnetic field on the solar cells through the Helmholtz coils was constructed. This work also dealing with the influence of magnetic radiation on photovoltaic cells and the influence of electromagnetic waves on the volt-ampere characteristics of the photovoltaic cell.

Rocket combustors and other high-performance chemical propulsion systems are prone to combustion instability. Recent simulations of rocket combustors using detailed chemical kinetics show that the constant pressure assumption used in classical treatments may be suspect due to high rates of heat release. This study is a exploration on the effects of these extraordinary rates of heat addition on the local pressure field, and interactions between the heat release and an acoustic field. <br> <br>The full problem is decomposed into simpler unit problems focused on the particular interactions of physical phenomena involved in combustion instability. The overall strategy consists of analyzing fundamental problems with simplified scenarios and then build up the complexity by adding more phenomena to the analysis. Seven unit problems are proposed in this study. <br> <br>The first unit problem consists of the pressure response to an unsteady heat release source in an unconfined one-dimensional domain. An analytical model based on the acoustic wave equation with planar symmetry and an unsteady heat source is derived and then compared against results from highly-resolved numerical simulations. Two different heat release profiles, one a Gaussian spatial distribution with a step temporal profile, and the other a Gaussian spatial distribution with a Gaussian temporal distribution, are used to model the heat source. The analytical solutions predict two different regimes in the pressure response depending on the Helmholtz number, which is defined as the ratio of the acoustic time over the duration of the heat release pulse. A critical Helmholtz number is found to dictate the pressure response regime. For compact cases, in the subcritical regime, the amplitude of the pressure pulse remains constant in space. For noncompact cases, above the critical Helmholtz number, the pressure pulse reaches a maximum at the center of the heat source, and then decays in space converging to a lower far field amplitude. At the limits of very small and very large Helmholtz numbers, the heat release response tends to be a constant pressure process and a constant volume process, respectively. The parameters of the study are chosen to be representative of the extreme conditions in a rocket combustor. The analytical models for both heat source profiles closely match the simulations with a slight overprediction. The differences observed in the analytical solutions are due to neglecting mean flow property variations and the absence of loss mechanisms. The numerical simulations also reveal the presence of nonlinear effects such as weak shocks that cannot be captured by the linear acoustic wave equation. <br> <br>The second unit problem extends the analysis of the pressure response of an unsteady heat release source to an unconfined three-dimensional domain. An analytical model based on the spherical acoustic wave equation with an unsteady heat source is derived and then compared against results from highly-resolved three-dimensional numerical simulations. Two different heat release profiles, a three-dimensional Gaussian spherical distribution with either a step or a Gaussian temporal distribution, are used to model the heat source. Two different regimes in the pressure response depending on the Helmholtz number are found. This analysis also reveals that whereas for the one-dimensional case the pressure amplitude is constant over the distance, for the three-dimensional case it decays with the radial distance from the heat source. In addition, although for moderate heat release values the analytical solution is able to capture the dynamics of the fluid response, for large heat release values the nonlinear effects deviate the highly-resolved numerical solution from the analytical model. <br> <br>The third unit problem studies the pressure response of a fluctuating unsteady heat release source to an unconfined one-dimensional domain. An analytical model based on the acoustic wave equation with planar symmetry and an unsteady heat source is derived and then compared against results from highly-resolved numerical simulations. Two different heat release profiles, a flat spatial distribution with sinusoidal temporal profile and a Gaussian spatial distribution and sinusoidal temporal profile, are used to model the heat source. For both cases, the acoustically compact and noncompact regimes depending on the Helmholtz number are analyzed. While in the compact regime the amplitude of the pressure is constant over the distance, in the noncompact regime the amplitude of the pressure fluctuation is larger within the heat source area of application, and once outside the heat source decays to a far field pressure value. In addition, the analytical model does not capture the nonlinear effects present in the highly-resolved numerical simulations for large rates of heat release such as the ones present in rocket combustors.<br> <br>Finally, the last four unit problems focus on the interaction between unsteady heat release and the longitudinal acoustic modes of a combustor. The goal is to assess and quantify how pressure fluctuations due to unsteady heat release amplify a longitudinal acoustic mode. To investigate the nonlinear effects and the limitations based on the acoustic wave equation, the analytical models are compared against highly-resolved numerical simulations. The fourth unit problem consists of the pressure response to a moving rigid surface that generates a forced sinusoidal velocity fluctuation in a one-dimensional open-ended cavity. The fifth unit problem combines an analytical solution from the velocity harmonic fluctuation with an unsteady heat pulse with Gaussian spatial and temporal distribution developed in the first unit problem. The choice of an open-ended cavity simplifies the analysis and serves as a stepping stone to the sixth unit problem, which also includes the pressure reflections provoked by the acoustic boundaries of the duct. This sixth unit problem describes the establishment of a 1L acoustic longitudinal mode inside a closed duct using the harmonic velocity fluctuations from the fourth unit problem. A wall on the left end of the duct is only moved for one cycle at the 1L mode frequency to establish a 1L mode in the initially quiescent fluid. The last unit problem combines the analytical solution of the 1L mode acoustic field developed in the sixth unit problem with an unsteady heat pulse with Gaussian spatial and temporal distribution, and also accounts for pressure reflections. The derivation of the present analytical models includes the identification of relevant length and time scales that are condensed into the Helmholtz number, the phase shift between the longitudinal fluctuating pressure field and the heat source, and ratio of the fluctuating periods. The analytical solution is able to capture with an acceptable degree of accuracy the pressure trace of the numerical solution during the fist few cycles of the 1L mode, but it quickly deviates very significantly from the numerical solution due to wave steepening and the formation of weak shocks. Therefore, models based on the acoustic wave equation can provide a good understanding of the combustion instability behavior, but not accurately predict the evolution of the pressure fluctuations as the nonlinear effects play a major role in the combustion dynamics of liquid rocket engines.

This thesis outlines an iterative approach for determining the scattered wave for two dimensional multiple acoustic scattering problems using high order local absorbing boundary conditions and second order finite difference. We seek to approximate the total wave as it is scattered off of multiple arbitrarily shaped obstacles. This is done by decomposing the scattered wave into the superposition of single scattered waves. We then repeatedly solve the single scattering system for each obstacle, while updating the boundary conditions based off the incident wave and the scattered wave off the other obstacles. We solve each single scattering by enclosing the obstacle in a circular artificial boundary and generating a curvilinear coordinate system for the computational region between the obstacle and the artificial boundary. We impose an absorbing boundary condition, specifically Karp's Farfield Expansion ABC, on the artificial boundary. We use a finite difference method to discretize the governing equations and to discretize the absorbing boundary conditions. This will create a linear system whose solution will approximate the single scattered wave. The forcing vector of the linear system is determined from the total influence on the obstacle boundary from the incident wave and the scattered waves from the other obstacles. In each iteration, we solve the singular acoustic scattering problem for each obstacle by using the scattered wave approximations from the other obstacles obtained from the previous iteration. The iterations continue until the solutions converge. This iterative method scales well to multiple scattering configurations with many obstacles, and achieves errors on the order of 1E-5 in less than five minutes. This is due to using LU factorization to solve the linear systems, paired with parallelization. I will include numerical results which demonstrate the accuracy and advantages of this iterative technique.

A new theory for predicting the windprofile over a canopy has been evaluated. The theory was first presented by Harman and Finnigan (2007). The theory relies on the forming of a mixing-layer above the canopy, due to different mean wind in and above the canopy. Characteristics from both mixing-layer and Monin Obukhov similarity theory have been used to develop the governingequations that give the wind profile. The theory has been used to calculate wind profiles for sixdifferent atmospheric stabilities. In order to evaluate the theory, profiles from the theory have beencompared to measurements from Jädraås forest, Sweden. Profiles from Monin Obukhov similarity theory were also used for comparison.In general the mixing-layer theory gives better results than Monin Obukhov similarity theory. Agreement with measurements is good in neutral conditions, but fails when the atmospheric stability is altered, especially in convective conditions. This is believed to be due to the canopy lacking in thickness. The mean wind speed is systematically underestimated and this is also believed to be caused by insufficient thickness of the canopy. A correction for this behaviour is proposed. The theory gives higher values of the mean wind speed in convective conditions with the correction and the calculated values of mean wind speed are closer to the measurements.

No description available.

The aim of this work is to derive mathematical descriptions of gravitation. Postulating gravitation as a force field, Newton's law of gravitation is heuristically derived by considering linear differential operators invariant under euclidean isometries and by finding the fundamental solution to Helmholtz equation in three dimensions. Thereafter, the theory of differential geometry is introduced, providing a framework for the subsequent review of gravitation as curvature. Lastly, in the light of Einstein's postulates and equivalence principle, Lovelock's proof of uniqueness of Einstein's field equations is presented.

Pressure swirl atomizers are commonly used in IC, aero-engines, and liquid propellant rocket combustion. Understanding the atomization process is important in order to enhance vaporization, mitigate soot formation, design of combustion chambers, and improve overall combustion efficiency. This work utilizes non-invasive techniques such as ultra -speed imaging, and Phase Doppler Particle Anemometry (PDPA) in order to investigate the cascade atomization process of pressure-swirl atomizers by examining swirling liquid film dynamics and the localized droplet characteristics of the resulting hollow cone spray. Specifically, experiments were conducted to examine these effects for three different nozzles with orifice diameters .3mm, .5mm, and .97mm. The ultra-speed imaging allowed for both visualization and interface tracking of the swirling conical film which emanated from each nozzle. Moreover, this allowed for the measurement of the radial fluctuations, film length, cone angle and maximum wavelength. Radial fluctuations are found to be maximum near the breakup or rupture of a swirling film. Film length decreases as Reynolds number increases. Cone angle increases until a critical Reynolds number is reached, beyond which it remains constant. A new approach to analyze the temporally unstable waves was developed and compared with the measured maximum wavelengths. The new approach incorporates the attenuation of a film thickness, as the radius of a conical film expands, with the classical dispersion relationship for an inviscid moving liquid film. This approach produces a new long wave solution which accurately matches the measured maximum wavelength swirling conical films generated from nozzles with the smallest orifice diameter. For the nozzle with the largest orifice diameter, the new long wave solution provides the upper bound limit, while the long wave solution for a constant film thickness provides the lower bound limit. These results indicate that temporal instability is the dominating mechanism which generates long Kelvin Helmholtz waves on the surface of a swirling liquid film. The PDPA was used to measure droplet size and velocity in both the near field and far field of the spray. For a constant Reynolds number, an increase in orifice diameter is shown to increase the overall diameter distribution of the spray. In addition, it was found that the probability of breakup, near the axis, decreases for the largest orifice diameter. This is in agreement with the cascading nature of atomization.

Cet ouvrage est consacré au kantisme non orthodoxe de Friedrich-Albert Lange (1828-1875) et Hermann von Helmholtz (1821-1894) développé dans la seconde moitié du XIXe qui propose une révision psychophysique de l’épistémologie kantienne. On affirme que ce procédé n’aboutit pas à une réduction psychologique de la connaissance qui aurait pour conséquence d’éliminer une objectivité judicative (contrairement à ce que prétendent plusieurs commentateurs) ; en revanche, ce procédé apporte des modifications significatives aux conditions de possibilité nécessaires et universelles de l’expérience qui légitiment chez Kant une objectivité judicative. On démontre que l’épistémologie développée par ces deux auteurs peut être qualifiée de « naturalisme méthodologique » et partage avec l’épistémologie naturalisée développée au XXe siècle par Willard von Orman Quine (1908-2000) une série de stratégies argumentaires analogues qui expliquent essentiellement « how evidence relates to theory, and in what ways one's theory of nature transcends any available evidence. » (Quine, 1969, 83) Ainsi afin de soutenir qu’il existe une telle épistémologie naturalisée au XIXe siècle, on divise l’ouvrage en trois parties. La première section (chapitres premier et deuxième) introduit le concept de « naturalisme épistémologique » et étudie ses conséquences doctrinales et conceptuelles. La seconde section (chapitres troisième, quatrième et cinquième) argumente que l’inscription de l’épistémologie kantienne dans un cadre conceptuel naturalisé n’implique pas l’élimination d’une réflexion de second ordre sur les raisons qui légitiment une objectivité judicative au profit d’une simple étude des causes psychophysiques de la perception et des jugements qui s’y rapporte. La troisième section (chapitres sixième et septième) est consacrée à la question de l’objectivité des jugements logico-mathématiques et plus particulièrement à leur signification intuitive dans le cadre de l’expérience psychophysique. À partir de ces trois sections, on prétend pouvoir démontrer que l’épistémologie naturalisée de Helmholtz, Lange et Quine mobilise des stratégies argumentaires structurellement analogues malgré des contextes historiques et conceptuels radicalement différents. On retrouve à la fin de chaque section des remarques conclusives comparatives qui mettent en valeur (autant que faire se peut) ces stratégies argumentaires analogues utilisées au XIXe et au XXe siècle.

[ES] Los niveles de presión acústica experimentados por las naves espaciales y las lanzaderas durante las fases iniciales del lanzamiento (ignición de motores y despegue) pueden ser muy significativos para estructuras ligeras y cargas externas y apéndices, como paneles solares y antenas. En este contexto, el fondo del canal de evacuación de gases actúa como un espejo desde el punto de vista acústico, y devuelve la energía liberada directamente al cohete y a las estructuras que transporta. Esta gran cantidad de energía puede poner en riesgo algunas misiones de lanzamiento, con las consecuencias económicas y de seguridad que ello conlleva. A pesar de esto, existe todavía poco conocimiento sobre las características de las fuentes y el comportamiento de las instalaciones de suelo en referencia a la dispersión, difusión y absorción del sonido. En este contexto se desarrollará el objetivo principal de esta Tesis, cuyo propósito es el diseño y optimización de un prototipo de sistema basado en un array de resonadores de Helmholtz para maximizar la absorción y dispersión del sonido y, por tanto, mitigar los niveles de presión sonora generados en estos eventos en el contexto aeroespacial. Los trabajos de esta Tesis se llevan a cabo en el marco del contrato Networking/Partnership Initiative de la Agencia Espacial Europea. / [CA] Els nivells de pressió acústica experimentats pels vehicles espacials durant les fases inicials del llançament (ignició de motors i enlairament) són extremadament elevats i poden afectar significativament a estructures lleugeres transportades, com panells solars i antenes. L'intens soroll generat per les fonts primàries, el motor i el raig, es veu reforçat per la reflexió en el fons del canal d'evacuació de gasos, que actua com un mirall des del punt de vista acústic, i retorna l'energia alliberada directament al coet i a les estructures que transporta. Aquesta gran quantitat d'energia pot posar en risc algunes missions de llançament, amb les conseqüències econòmiques i de seguretat que això comporta. Tot i la rellevància d'aquest problema, el coneixement sobre les característiques de les fonts, el comportament de les instal·lacions de sòl en referència a la dispersió, difusió i absorció del so, i les possibles mesures per mitigar l'impacte és encara escàs. En aquest context es desenvoluparà l'objectiu principal d'aquesta Tesi, el propòsit de la qual és el disseny i optimització d'un prototip de sistema basat en una matriu de ressonadors de Helmholtz per maximitzar l'absorció i dispersió del so a nivell de terra i, d'aquesta manera, mitigar els nivells de pressió sonora generats en aquests esdeveniments en el context aeroespacial. Els treballs d'aquesta Tesi s'han dut a terme en el marc del contracte Networking/Partnership Initiative 441-2015 de l'Agència Espacial Europea. / [EN] The sound pressure levels experienced by space vehicles during the initial stages of launch (engine ignition and lift-off) are extremely high and can significantly affect light transported structures, such as solar panels and antennas. The intense sound generated by the primary sources, the engine and the jet, is reinforced by the reflection at the bottom of the gas evacuation channel, which acts as a mirror from the acoustic point of view, and returns the energy released directly to the rocket and the structures it carries. This large amount of energy can put some launch missions at risk, with the economic and security consequences that this entails. Despite the relevance of this problem, knowledge about the characteristics of the sources, the behavior of ground facilities in reference to the dispersion, diffusion and absorption of sound, and the possible measures to mitigate the impact is still scarce. In this context, the main objective of this thesis will be developed. The purpose of this work is the design and optimization of a prototype system based on an array of Helmholtz resonators to maximize the absorption and dispersion of sound at ground level and, in this way, mitigate the sound pressure levels generated in these events in the aerospace context. The work of this thesis has been carried out within the framework of the Networking/Partnership Initiative contract 441-2015 of the European Space Agency. / None of the work presented here could have been possible without the funding provided by the European Space Agency. In this institution, I want to specially thank Julián Santiago (who sadly passed away in December 2018) and Ivan Ngan, both from the Structures, Mechanisms and Materials Division, for their help to make this project possible. / Herrero Durá, I. (2020). Acoustic noise reduction methods for the launch pad [Tesis doctoral]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/146650

Eine Standardformulierung der Randwertaufgabe für die Beschreibung zeitharmonischer elektromagnetischer Phänomene hat die Vektor-Helmholtzgleichung für das elektrische Feld zur Grundlage. Bei niedrigen Frequenzen führt der große Nullraum des Rotationsoperators zu einem instabilen Lösungsverhalten. Wird die Randwertaufgabe zum Beispiel mit Hilfe der Methode der Finiten Elemente in ein lineares Gleichungssystem überführt, äußert sich die Instabilität in einer schlechten Konditionszahl ihrer Koeffizientenmatrix. Eine stabilere Formulierung wird durch die explizite Berücksichtigung der Kontinuitätsgleichung erreicht. Zur numerischen Lösung der Randwertaufgaben wurde eine Finite-Elemente-Software erstellt. Sie berücksichtigt unter anderem unstrukturierte Gitter, räumlich variable, anisotrope Materialparameter sowie die Erweiterung der Maxwell-Gleichungen durch Perfectly Matched Layers. Die Software wurde anhand von Anwendungen in der marinen Geophysik erfolgreich getestet. Insbesondere demonstriert die Einbeziehung von Seebodentopographie in Form einer stetigen Oberflächentriangulierung die geometrische Flexibilität der Software. / The physics of time-harmonic electromagnetic phenomena can be mathematically described by boundary value problems. A standard approach is based on the vector Helmholtz equation in terms of the electric field. The curl operator involved has a large, non-trivial kernel which leads to an instable solution behaviour at low frequencies. If the boundary value problem is solved approximately using, e. g., the finite element method, the instability expresses itself by a badly conditioned coefficient matrix of the ensuing system of linear equations. A stable formulation is obtained by taking the continuity equation explicitly into account. In order to solve the boundary value problem numerically a finite element software package has been implemented. Its features comprise, amongst others, the treatment of unstructured meshes and piecewise polynomial, anisotropic constitutive parameters as well as the extension of Maxwell’s equations to the Perfectly Matched Layer. Successful application of the software is demonstrated with examples from marine geophysics. In particular, the incorporation of seafloor topography by a continuous surface triangulation illustrates the geometric flexibility of the software.