Linear instability of orthogonal compressible leading-edge boundary layer flow

Instability analysis of compressible orthogonal swept leading-edge boundary layer flow was performed in the context of BiGlobal linear theory. 1, 2 An algorithm was developed exploiting the sparsity characteristics of the matrix discretizing the PDE-based eigenvalue problem. This allowed use of the MUMPS sparse linear algebra package 3 to obtain a direct solution of the linear systems associated with the Arnoldi iteration. The developed algorithm was then applied to efficiently analyze the effect of compressibility on the stability of the swept leading-edge boundary layer and obtain neutral curves of this flow as a function of the Mach number in the range 0 ≤ Ma ≤ 1. The present numerical results fully confirmed the asymptotic theory results of Theofilis et al. 4 Up to the maximum Mach number value studied, it was found that an increase of this parameter reduces the critical Reynolds number and the range of the unstable spanwise wavenumbers.

Influence of the rheological behaviour of the lubricant on the appearance of pitting in elastohydrodynamic eegime

This paper analyses the influence of lubricant behaviour on the appearance of pitting. It attempts to study the effect of viscosity?pressure relation, compressibility, film thickness?roughness relation and friction coefficient on pitting failure of the contacting elements.To explain these effects, we first deal with the influence of the oil on the lubrication of the contact using elastohydrodynamic theory and secondly two multiaxial fatigue criteria are used, Crossland criterion and Dang Van criterion, to evaluate the influence of the rheology on the appearance of pitting. Finally, different applications are presented together with a discussion on the results obtained.

Análisis de la influencia de los diferentes parámetros de diseño en la aparición de fatiga superficial en contactos mecánicos

La fatiga superficial es uno de los principales problemas en las transmisiones mecánicas y es uno de los focos de atención de las investigaciones de los últimos anos en Tribología. La disminución de viscosidad de los lubricantes para la mejora de la eficiencia, el aumento de las potencias a transmitir, el aumento de la vida de los componentes o la mejora de su fiabilidad han supuesto que los fenómenos de fatiga superficial hayan cobrado especial relevancia, especialmente los fenómenos de pitting y micropitting en cajas multiplicadoras/reductoras de grandes potencias de aplicación, por ejemplo, en el sector eólico. Como todo fenómeno de fatiga, el pitting y micropitting son debidos a la aplicación de cargas ciclicas. Su aparición depende de las presiones y tensiones cortantes en el contacto entre dos superficies que al encontrarse en rodadura y deslizamiento varian con el tiempo. La principal consecuencia de la fatiga superficial es la aparición de hoyuelos de diferente magnitud segun la escala del fenómeno (pitting o micropitting) en la superficie del material. La aparición de estos hoyuelos provoca la perdida de material, induce vibraciones y sobrecargas en el elemento que finalmente acaba fallando. Debido a la influencia de la presión y tensión cortante en el contacto, la aparición de fatiga depende fuertemente del lubricante que se encuentre entre las dos superficies y de las condiciones de funcionamiento en las cuales este trabajando. Cuando el contacto trabaja en condiciones de lubricacion mixta-elastohidrodinamica tiende a aparecer micropitting debido a las altas tensiones localizadas en las proximidades de las asperezas, mientras que si el régimen es de lubricación completa el tipo de fatiga superficial suele ser pitting debido a las tensiones mas suavizadas y menos concentradas. En esta Tesis Doctoral se han analizado todos estos factores de influencia que controlan el pitting y el micropitting prestando especial atención al efecto del lubricante. Para ello, se ha dado un enfoque conjunto a ambos fenómenos resolviendo las ecuaciones involucradas en el contacto elastohidrodinamico no-Newtoniano (la ecuación de Reynolds, la deformación elástica de los sólidos y la reologia del lubricante) para conocer la presión y la tensión cortante en el contacto. Conocidas estas, se resuelve el campo de tensiones en el interior del material y, finalmente, se aplican criterios de fatiga multiaxial (Crossland, Dang Van y Liu-Mahadevan) para conocer si el material falla o no falla. Con la metodología desarrollada se ha analizado el efecto sobre las tensiones y la aparición de la fatiga superficial del coeficiente viscosidad-presion, de la compresibilidad, del espesor especifico de película y de la fricción así como de la influencia de las propiedades a fatiga del material y de las condiciones de funcionamiento (radios de contacto, velocidad, deslizamiento, carga y temperatura). Para la validación de los resultados se han utilizado resultados teóricos y experimentales de otros autores junto con normas internacionales de amplia utilización en el mundo industrial, entre otras, para el diseño y calculo de engranajes. A parte del trabajo realizado por simulación y cálculo de los diferentes modelos desarrollados, se ha realizado un importante trabajo experimental que ha servido no solo para validar la herramienta desarrollada sino que además ha permitido incorporar al estudio factores no considerados en los modelos, como los aditivos del lubricante. Se han realizado ensayos de medida del coeficiente de fricción en una maquina de ensayo puntual con la que se ha validado el cálculo del coeficiente de fricción y se ha desarrollado un proceso de mejora del coeficiente de fricción mediante texturizado superficial en contactos puntuales elastohidrodinamicos mediante fotolitografia y ataque quimico. Junto con los ensayos de medida de fricción en contacto puntual se han realizado ensayos de fricción y fatiga superficial en contacto lineal mediante una maquina de discos que ha permitido evaluar la influencia de diferentes aditivos (modificadores de fricción, antidesgaste y extrema-presion) en la aparición de fatiga superficial (pitting y micropitting) y la fricción en el contacto. Abstract Surface fatigue is one of the most important problems of mechanical transmissions and therefore has been one of the main research topics on Tribology during the last years. On the one hand, industrial demand on fuel economy has led to reduce lubricant viscosity in order to improve efficiency. On the other hand, the requirements of power and life of machine elements are continuously increasing, together with the improvements in reliability. As a consequence, surface fatigue phenomena have become critical in machinery, in particular pitting and micropitting in high power gearboxes of every kind of machines, e.g., wind turbines or cranes. In line with every fatigue phenomena, pitting and micropitting are caused by cyclic loads. Their appearance depends on the evolution of pressures and shear stresses with time, throughout the contact between surfaces under rolling and sliding conditions. The main consequence of surface fatigue is the appearance of pits on the surface. The size of the pits is related to the scale of the fatigue: pitting or micropitting. These pits cause material loss, vibrations and overloads until the final failure is reached. Due to the great influence of the pressures and shear stresses in surface fatigue, the appearance of pits depends directly on the lubricant and the operating conditions. When the contact works under mixed regime (or under elastohydrodynamic but close to mixed regime) the main fatigue failure is micropitting because of the high pressures located near the asperities. In contrast, when the contact works under elastohydrodynamic fully flooded conditions the typical fatigue failure is pitting. In this Ph.D. Thesis, the main factors with influence on pitting and micropitting phenomena are analyzed, with special attention to the effect of the lubricant. For this purpose, pitting and micropitting are studied together by solving the equations involved in the non-Newtonian elastohydrodynamic contact. Thus, pressure and shear stress distributions are found by taking into account Reynolds equation, elastic deflection of the solids and lubricant rheology. Subsequently, the stress field inside the material can be calculated and different multiaxial fatigue criteria (Crossland, Dang Van and Liu- Mahadevan) can be applied to predict whether fatigue failure is reached. The influences of the main parameters on pressure and surface fatigue have been studied, taking into account the lubricant compressibility and its viscosity-pressure coefficient, the specific film thickness, the friction coefficient and the fatigue properties of the contacting materials, together with the operating conditions (contact radius, mean velocity, sliding velocity, load and temperature). Several theoretical and experimental studies of different authors have been used to validate all the results obtained, together with international standards used worldwide in gear design industry. Moreover, an experimental stage has been carried out in order to validate the calculation methods and introduce additional influences not included previously, e.g., lubricant additives. The experimentation includes different friction tests in point contacts performed with a tribological equipment in order to validate the results given by the calculations. Furthermore, the reduction and optimization of the friction coefficient is analyzed by means of textured surfaces, obtained combining photolithography and chemical etching techniques. Besides the friction tests with point contact, friction and surface fatigue tests have also been performed with line contact in a tribological test rig. This equipment is also used to study the influence of different types of additives (friction modifiers, anti-wear and extreme-pressure additives) on surface fatigue (pitting and micropitting).

Deformabilidad de escolleras empleadas en banquetas de cimentación de cajones portuarios

En esta tesis doctoral se presenta una investigación sobre el comportamiento deformacional de las escolleras empleadas en banquetas de cimentación de obras portuarias de cajones. El trabajo aborda el estudio de la deformabilidad de escolleras portuarias combinando (i) investigación mediante ensayos de laboratorio; (ii) análisis del comportamiento in situ de las banquetas de escolleras y (iii) cálculos realizados con modelos numéricos. Se expone en primer lugar la investigación experimental realizada en el Laboratorio de Geotecnia del Centro de Estudios y Experimentación de Obras Públicas (CEDEX) para estudiar la deformabilidad de las escolleras mediante ensayos a gran escala, habida cuenta las grandes dimensiones de las partículas de escollera. Se ha tratado de establecer una metodología de ensayo que reproduzca las solicitaciones de las escolleras colocadas en banquetas de cimentación de obras portuarias. Asimismo, se ha hecho una interpretación exhaustiva de los resultados de los ensayos con el fin de establecer unos valores que caractericen la deformabilidad de las escolleras analizadas. Es posible dar un intervalo de valores de la compresibilidad de las escolleras portuarias que, dada la escasez de literatura existente, constituyen unos valores de referencia. Asimismo, se ha propuesto una metodología para para estimar la deformabilidad de escolleras portuarias in situ. La información disponible ha permitido realizar estudios de la deformabilidad in situ en dos muelles españoles con semejanzas estructurales y constructivas. La interpretación conjunta de los resultados ha sugerido unos valores de deformabilidad in situ. Conviene destacar que la práctica ausencia de rangos de valores de compresibilidad in situ para estos rellenos empleados en obras portuarias pone de manifiesto la importancia de los resultados obtenidos. Evidencias de diferencias de comportamiento de las escolleras empleadas en banquetas de cimentaci ón de cajones portuarios en laboratorio e in situ han sido documentadas. La evaluación conjunta del comportamiento tenso-deformacional de las escolleras en laboratorio e in situ ha estimulado la búsqueda de una correlación entre la compresibilidad de las escolleras en ambos escenarios. Finalmente, se ha elaborado un modelo numérico con la formulación matemática del método sincrético (Perucho (2004, 2008)) que supone una opción interesante para evaluar la deformabilidad de los rellenos granulares. En la práctica, el empleo del modelo sincrético requiere la determinación de unos microparámetros. La disponibilidad de numerosos resultados de laboratorio realizados en las escolleras portuarias ha permitido calibrar el modelo realizado. De esta manera, se dispone de una herramienta de cálculo para evaluar la deformabilidad de los relleno granulares con un método numérico. The focus of this Thesis is to explore the deformational behavior of large rock fill materials used as rock mattress foundations for gravity caissons structures. The determination of the compressibility of large granular media focuses on (i) laboratory testing, (ii) in situ performance analysis of rock mattress foundations for caissons, and (iii) numerical modelling. First, the results of the large-scale laboratory research program, conducted at the Geotechnical Laboratory for the Center for Studies and Experimentation for Public Works (CEDEX), to determine the deformability of large rock fill materials is presented. The testing procedure was specifically designed to reproduce the loading sequence of in situ rubble mound foundations. A thoughtful analysis of the laboratory testing results suggests a range of compressibility for large granular media. The lack of currently available information regarding large rock fill deformability places a certain emphasis on the results of the testing program. Second, the results of this research includes a procedure for evaluating in situ rock fill deformational behavior. Data, collected from monitoring two caisson-type quays in Spain, provides information to study in situ rock mattress foundations. Careful interpretation of in situ data reveals a range of deformability of rock mattress foundations in caisson-type quays. Based upon a review of available literature, assessments on the behavior of rock mattress foundations for caissons using in situ analysis are quite limited. The data from this research are likely to contribute to the knowledge of the in situ behavior of rock mattress foundations for caissons. Additionally, findings indicate an appreciable variation between the laboratory and the in situ behaviour of materials from rock mattress foundations for caissons. Dissimilarities between laboratory and in situ moduli of deformation are examined in detail. Correlations between laboratory and in situ values are made. Finally, numerical modeling, based upon the research of Perucho (2004, 2008), is presented to predict the deformation behavior of large granular media. The determination of microparameters that control macropropierties requires extensive calibration effort. The calibration process was carried out using the results of large-scale laboratory testing available from previous analysis. The presented numerical method is both versatile and attractive as it reasonably predicts the compressibility of large rock fill materials.

Influencia de un fluido en las características dinámicas de placas circulares y casicirculares

La influencia de un fluido en las características dinámicas de estructuras se ha estudiado desde hace tiempo. Sin embargo muchos estudios se refieren a aplicaciones bajo el agua, como es el caso del sonar de un submarino por lo que el fluido circundante se considera líquido (sin efectos de compresibilidad). Más recientemente en aplicaciones acústicas y espaciales tales como antenas o paneles muy ligeros, ha sido estudiada la influencia en las características dinámicas de una estructura rodeada por un fluido de baja densidad. Por ejemplo se ha mostrado que el efecto del aire en el transmisor-reflector del Intelsat VI C-B con un diámetro de 3,2 metros y con un peso de sólo 34,7 kg disminuye la primera frecuencia en torno a un 20% con respecto a su valor en vacío. Por tanto es importante en el desarrollo de estas grandes y ligeras estructuras disponer de un método con el que estimar el efecto del fluido circundante sobre las frecuencias naturales de éstas. De esta manera se puede evitar el ensayo de la estructura en una cámara de vacío que para el caso de una gran antena o panel puede ser difícil y costoso. Se ha desarrollado un método de elementos de contorno (BEM) para la determinación del efecto del fluido en las características dinámicas de una placa circular. Una vez calculados analíticamente los modos de vibración de la placa en vacío, la matriz de masa añadida debido a la carga del fluido se determina por el método de elementos de contorno. Este método utiliza anillos circulares de manera que el número de elementos para obtener unos resultados precisos es muy bajo. Se utiliza un procedimiento de iteración para el cálculo de las frecuencias naturales del acoplamiento fluido-estructura para el caso de fluido compresible. Los resultados del método se comparan con datos experimentales y otros modelos teóricos mostrando la precisión y exactitud para distintas condiciones de contorno de la placa. Por otro lado, a veces la geometría de la placa no es circular sino casi-circular y se ha desarrollado un método de perturbaciones para determinar la influencia de un fluido incompresible en las características dinámicas de placas casi-circulares. El método se aplica a placas con forma elíptica y pequeña excentricidad. Por una parte se obtienen las frecuencias naturales y los modos de deformación de la placa vibrando en vacío. A continuación, se calculan los coeficientes adimensionales de masa virtual añadida (factores NAVMI). Se presentan los resultados de estos factores y el efecto del fluido en las frecuencias naturales. ABSTRACT The influence of the surrounding fluid on the dynamic characteristics of structures has been well known for many years. However most of these works were more concerned with underwater applications, such as the sonar of a submarine and therefore the surrounding fluid was considered a liquid (negligible compressibility effects). Recently for acoustical and spatial applications such as antennas or very light panels the influence on the dynamic characteristics of a structure surrounded by a fluid of low density has been studied. Thus it has been shown that the air effect for the Intelsat VI C-B transmit reflector with a diameter of 3,2 meters and weighting only 34,7 kg decreases the first modal frequency by 20% with respect to the value in vacuum. It is important then, in the development of these light and large structures to have a method that estimates the effect that the surrounding fluid will have on the natural frequencies of the structure. In this way it can be avoided to test the structure in a vacuum chamber which for a large antenna or panel can be difficult and expensive A BEM method for the determination of the effect of the surrounding fluid on the dynamic characteristics of a circular plate has been developed. After the modes of the plate in vacuum are calculated in an analytical form, the added mass matrix due to the fluid loading is determined by a boundary element method. This method uses circular rings so the number of elements to obtain an accurate result is very low. An iteration procedure for the computation of the natural frequencies of the couple fluid-structure system is presented for the case of the compressibility effect of air. Comparisons of the present method with various experimental data and other theories show the efficiency and accuracy of the method for any support condition of the plate. On the other hand, sometimes the geometry of the plate is not circular but almost-circular, so a perturbation method is developed to determine the influence of an incompressible fluid on the dynamic characteristics of almost-circular plates. The method is applied to plates of elliptical shape with low eccentricity. First, the natural frequencies and the mode shapes of the plate vibrating in vacuum are obtained. Next, the nondimensional added virtual mass coefficients (NAVMI factors) are calculated. Results of this factors and the effect of the fluid on the natural frequencies are presented.

Dynamics of gas bubbles encapsulated by a viscoelastic fluid shell under acoustic fields

The dynamics of a gas-filled microbubble encapsulated by a viscoelastic fluid shell immersed in a Newtonian liquid and subject to an external pressure field is theoretically studied. The problem is formulated by considering a nonlinear Oldroyd type constitutive equation to model the rheological behavior of the fluid shell. Heat and mass transfer across the surface bubble have been neglected but radiation losses due to the compressibility of the surrounding liquid have been taken into account. Bubble collapse under sudden increase of the external pressure as well as nonlinear radial oscillations under ultrasound fields are investigated. The numerical results obtained show that the elasticity of the fluid coating intensifies oscillatory collapse and produces a strong increase of the amplitudes of radial oscillations which may become chaotic even for moderate driving pressure amplitudes. The role played by the elongational viscosity has also been analyzed and its influence on both, bubble collapse and radial oscillations, has been recognized. According to the theoretical predictions provided in the present work, a microbubble coated by a viscoelastic fluid shell is an oscillating system that, under acoustic driving, may experience volume oscillations of large amplitude, being, however, more stable than a free bubble. Thus, it could be expected that such a system may have a suitable behavior as an echogenic agent.

Generalized flows, intrinsic stochasticity, and turbulent transport

The study of passive scalar transport in a turbulent velocity field leads naturally to the notion of generalized flows, which are families of probability distributions on the space of solutions to the associated ordinary differential equations which no longer satisfy the uniqueness theorem for ordinary differential equations. Two most natural regularizations of this problem, namely the regularization via adding small molecular diffusion and the regularization via smoothing out the velocity field, are considered. White-in-time random velocity fields are used as an example to examine the variety of phenomena that take place when the velocity field is not spatially regular. Three different regimes, characterized by their degrees of compressibility, are isolated in the parameter space. In the regime of intermediate compressibility, the two different regularizations give rise to two different scaling behaviors for the structure functions of the passive scalar. Physically, this means that the scaling depends on Prandtl number. In the other two regimes, the two different regularizations give rise to the same generalized flows even though the sense of convergence can be very different. The “one force, one solution” principle is established for the scalar field in the weakly compressible regime, and for the difference of the scalar in the strongly compressible regime, which is the regime of inverse cascade. Existence and uniqueness of an invariant measure are also proved in these regimes when the transport equation is suitably forced. Finally incomplete self similarity in the sense of Barenblatt and Chorin is established.

Hydrogen storage in CO2-activated amorphous nanofibers and their monoliths

Amorphous carbon nanofibers (CNFs), produced by the polymer blend technique, are activated by CO2 (ACNFs). Monoliths are synthesized from the precursor and from some ACNFs. Morphology and textural properties of these materials are studied. When compared with other activating agents (steam and alkaline hydroxides), CO2 activation renders suitable yields and, contrarily to most other precursors, turns out to be advantageous for developing and controlling their narrow microporosity (< 0.7 nm), VDR(CO2). The obtained ACNFs have a high compressibility and, consequently, a high packing density under mechanical pressure which can also be maintained upon monolith synthesis. H2 adsorption is measured at two different conditions (77 K / 0.11 MPa, and 298 K / 20 MPa) and compared with other activated carbons. Under both conditions, H2 uptake depends on the narrow microporosity of the prepared ACNFs. Interestingly, at room temperature these ACNFs perform better than other activated carbons, despite their lower porosity developments. At 298 K they reach a H2 adsorption capacity as high as 1.3 wt.%, and a remarkable value of 1 wt.% in its mechanically resistant monolith form.