Instabilities in two-liquid layers subject to a horizontal temperature gradient

We study theoretically the stability of two superposed fluid layers heated laterally. The fluids are supposed to be immiscible, the interface undeformable and of infinite horizontal extension. Combined thermocapillary and buoyancy forces give rise to a basic flow when a temperature difference is applied. The calculations are performed for a melt of GaAs under a layer of molten B2 O3 , a configuration of considerable technological importance. Four dif- ferent flow patterns and five temperature configurations are found for the basic state in this system. A linear stability analysis shows that the basic state may be destabilized by oscilla- tory motions leading to the so-called hydrothermal waves. Depending on the relative height of the two layers these hydrothermal waves propagate parallel or perpendicular to the temperature gradient. This analysis reveals that these perturbations can alter significantly the liquid flow in the liquid-encapsulated crystal growth techniques.

Optimización de la succión de sólidos sumergidos utilizando bombas centrífugas con velocidad variable

La acumulación de material sólido en embalses, cauces fluviales y en zonas marítimas hace que la extracción mecánica de estos materiales por medio de succión sea cada vez mas frecuente, por ello resulta importante estudiar el rendimiento de la succión de estos materiales analizando la forma de las boquillas y los parámetros del flujo incluyendo la bomba. Esta tesis estudia, mediante equipos experimentales, la eficacia de distintos dispositivos de extracción de sólidos (utilizando boquillas de diversas formas y bombas de velocidad variable). El dispositivo experimental ha sido desarrollado en el Laboratorio de Hidráulica de la E.T.S.I. de Caminos, C. y P. de la Universidad Politécnica de Madrid. Dicho dispositivo experimental incluye un lecho sumergido de distintos tipos de sedimentos, boquillas de extracción de sólidos y bomba de velocidad variable, así como un elemento de separación del agua y los sólidos extraídos. Los parámetros básicos analizados son el caudal líquido total bombeado, el caudal sólido extraído, diámetro de la tubería de succión, forma y sección de la boquilla extractora, así como los parámetros de velocidad y rendimiento en la bomba de velocidad variable. Los resultados de las medidas obtenidas en el dispositivo experimental han sido estudiados por medio del análisis dimensional y con métodos estadísticos. A partir de este estudio se ha desarrollado una nueva formulación, que relaciona el caudal sólido extraído con los diámetros de tubería y boquilla, caudal líquido bombeado y velocidad de giro de la bomba. Así mismo, desde el punto de vista práctico, se han analizado la influencia de la forma de la boquilla con la capacidad de extracción de sólidos a igualdad del resto de los parámetros, de forma que se puedan recomendar que forma de la boquilla es la más apropiada. The accumulation of solid material in reservoirs, river channels and sea areas causes the mechanical extraction of these materials by suction is becoming much more common, so it is important to study the performance of the suction of these materials analyzing the shape of the nozzles and flow parameters, including the pump. This thesis studies, using experimental equipment, the effectiveness of different solids removal devices (using nozzles of different shapes and variable speed pumps). The experimental device was developed at the Hydraulics Laboratory of the Civil University of the Polytechnic University of Madrid. The device included a submerged bed with different types of sediment solids, different removal nozzles and variable speed pump. It also includes a water separation element and the solids extracted. The key parameters analyzed are the total liquid volume pumped, the solid volume extracted, diameter of the suction pipe, a section of the nozzle and hood, and the parameters of speed and efficiency of the variable speed pump. The basic parameters analyzed are the total liquid volume pumped, the removed solid volume, the diameter of the suction pipe, the shape and cross-section of the nozzle, and the parameters of speed, efficiency and energy consumed by the variable speed pump. The measurements obtained on the experimental device have been studied with dimensional analysis and statistical methods. The outcome of this study is a new formulation, which relates the solid volume extracted with the pipe and nozzle diameters, the pumped liquid flow and the speed of the pump. Also, from a practical point of view, the influence of the shape of the nozzle was compared with the solid extraction capacity, keeping equal the rest of the parameters. So, a recommendation of the best shape of the nozzle can be given.

Convective instabilities in two superposed horizontal liquid layers heated laterally.

This work is devoted to the theoretical study of the stability of two superposed horizontal liquid layers bounded by two solid planes and subjected to a horizontal temperature gradient. The liquids are supposed to be immiscible with a nondeformable interface. The forces acting on the system are buoyancy and interfacial tension. Four different flow patterns and temperature profiles are found for the basic state. A linear perturbative analysis with respect to two- and three-dimensional perturbations reveals the existence of three kinds of patterns. Depending on the relative height of both liquids several situations are predicted: either wave propa- gation from cold to the hot regions, or waves propagating in the opposite direction or still stationary longitu- dinal rolls. The behavior of three different pairs of liquids which have been used in experiments on bilayers under vertical gradient by other authors have been examined. The instability mechanisms are discussed and a qualitative interpretation of the different behaviors exhibited by the system is provided. In some configurations it is possible to find a codimension-two point created by the interaction of two Hopf modes with different frequencies and wave numbers. These results suggest to consider two liquid layers as an interesting prototype ? nard-Marangoni problem.

Increasing the accuracy of positive displacement meters for the measurement of volume in liquid hydrocarbon logistics

Accuracy in the liquid hydrocarbons custody transfer is mandatory because it has a great economic impact. By far the most accurate meter is the positive displacement (PD) meter. Increasing such an accuracy may adversely affect the cost of the custody transfer, unless simple models are developed in order to lower the cost, which is the purpose of this work. PD meter consists of a fixed volume rotating chamber. For each turn a pulse is counted, hence, the measured volume is the number of pulses times the volume of the chamber. It does not coincide with the real volume, so corrections have to be made. All the corrections are grouped by a meter factor. Among corrections highlights the slippage flow. By solving the Navier-Stokes equations one can find an analytical expression for this flow. It is neither easy nor cheap to apply straightforward the slippage correction; therefore we have made a simple model where slippage is regarded as a single parameter with dimension of time. The model has been tested for several PD meters. In our careful experiments, the meter factor grows with temperature at a constant pace of 8?10?5?ºC?1. Be warned

Experimental measurements of the scattered-light polarization from different liquid flows

An experimental system designed to measure very low optical powers, of the order of a few picowatts, is presented. Its main aid is to detect the polarisation state of scattered light from a fluid flow, in different angular directions with respect to the longitudinal axis of the flow. A laser beam incident linearly polarized crosses the fluid flow orthogonally. The scattered light is detected by means of a photodetector situated behind a lineal polarizer whose orientation can be rotated. The outgoing electrical signal is amplified by means of a Mode-lockin amplifier and is digitally processed.

Quasi-cylindrical approximation to the swirling flow in an atomizer chamber

A quasi-cylindrical approximation is used to analyse the axisymmetric swirling flow of a liquid with a hollow air core in the chamber of a pressure swirl atomizer. The liquid is injected into the chamber with an azimuthal velocity component through a number of slots at the periphery of one end of the chamber, and flows out as an anular sheet through a central orifice at the other end, following a conical convergence of the chamber wall. An effective inlet condition is used to model the effects of the slots and the boundary layer that develops at the nearby endwall of the chamber. An analysis is presented of the structure of the liquid sheet at the end of the exit orifice, where the flow becomes critical in the sense that upstream propagation of long-wave perturbations ceases to be possible. This nalysis leads to a boundary condition at the end of the orifice that is an extension of the condition of maximum flux used with irrotational models of the flow. As is well known, the radial pressure gradient induced by the swirling flow in the bulk of the chamber causes the overpressure that drives the liquid towards the exit orifice, and also leads to Ekman pumping in the boundary layers of reduced azimuthal velocity at the convergent wall of the chamber and at the wall opposite to the exit orifice. The numerical results confirm the important role played by the boundary layers. They make the thickness of the liquid sheet at the end of the orifice larger than predicted by rrotational models, and at the same time tend to decrease the overpressure required to pass a given flow rate through the chamber, because the large axial velocity in the boundary layers takes care of part of the flow rate. The thickness of the boundary layers increases when the atomizer constant (the inverse of a swirl number, proportional to the flow rate scaled with the radius of the exit orifice and the circulation around the air core) decreases. A minimum value of this parameter is found below which the layer of reduced azimuthal velocity around the air core prevents the pressure from increasing and steadily driving the flow through the exit orifice. The effects of other parameters not accounted for by irrotational models are also analysed in terms of their influence on the boundary layers.

High sensitivity biosensors based on shear mode AIN resonators for in liquid operation

El diagnóstico y detección temprana de enfermedades son clave para reducir la tasa de mortalidad, las hospitalizaciones de larga duración y el desaprovechamiento de recursos. En los últimos años se ha impulsado, mediante un aumento de la financiación, el desarrollo de nuevos biosensores de bajo coste capaces de detectar y cuantificar cantidades muy pequeñas de especies biológicas de una forma barata y sencilla. El trabajo presentado en esta Tesis Doctoral describe la investigación llevada a cabo en el desarrollo de sensores gravimétricos basados en resonadores de ondas acústicas de volumen (BAW) de estructura maciza (SMR). Los dispositivos emplean películas delgadas de A1N como material piezoeléctrico y operan en modo de cizalladura, para así poder detectar especies biológicas en medio líquido. El principio de funcionamiento de estos sensores se basa en la variación que experimenta la frecuencia de resonancia al quedar una pequeña masa adherida a su superficie. Necesitan operar en modo de cizalladura para que su resonancia no se atenúe al trabajar en medio líquido, así como ofrecer una superficie capaz de ser funcionalizada específicamente para la especie biológica a detectar. El reto planteado en esta tesis requiere un acercamiento pluridisciplinar al problema que incluye el estudio de los diferentes materiales que constituyen la estructura multicapa que forma un SMR, el diseño y fabricación del dispositivo y del sistema de fluídica, la funcionalización bioquímica de la superficie del sensor, la demostración de la capacidad de detección de especies biológicas y finalmente el diseño y fabricación de la electrónica asociada para la detección de la señal eléctrica. Todas esas tareas han sido abordadas en las distintas etapas del desarrollo de esta tesis y las contribuciones más relevantes se describen en el documento. En el campo de desarrollo de los materiales, se propone un proceso en dos etapas para la pulverización reactiva de capas de A1N que contengan microcristales inclinados capaces de excitar el modo de cizalladura. Se caracteriza la velocidad acústica del modo de cizalladura en todos los materiales que componen la estructura, con el fin de poder obtener un diseño más adecuado del reflector acústico. Se propone un nuevo tipo de material aislante de alta impedancia acústica consistente en capas de W03 pulverizadas que presenta ciertas ventajas tecnológicas frente a las capas convencionales de Ta205. Respecto del diseño del transductor, se estudia la influencia que tienen los con tactos eléctricos extendidos del resonador necesarios para poder adaptar el sistema de fluídica a la estructura. Los resultados indican que es necesario trabajar sobre sustratos aislantes (tanto el soporte como el espejo acústico) para evitar efectos parásitos asociados al uso de capas metálicas bajo los electrodos del resonador que dañan su resonancia. Se analiza la influencia de las diferentes capas del dispositivo en el coeficiente de temperatura de la frecuencia (TCF) del resonador llegando a la conclusión de que las dos últimas capas del reflector acústico afectan significativamente al TCF del SMR, pudiendo reducirse ajusfando adecuadamente sus espesores. De acuerdo con los resultados de estos estudios, se han diseñado finalmente resonadores SMR operando a f .3 GHz en modo de cizalladura, con un área activa de 65000 /xm2, contactos eléctricos que se extienden f .7 mm y factores de calidad en líquido de f 50. Las extensiones eléctricas permiten adaptar el resonador a un sistema de fluídica de metacrilato. Para la detección de especies biológicas se realiza un montaje experimental que permite circular 800 ¡A por la superficie del sensor a través de un circuito cerrado que trabaja a volumen constante. La circulación de soluciones iónicas sobre el sensor descubierto pone de manifiesto que las altas frecuencias de operación previenen los cortocircuitos y por tanto el aislamiento de los electrodos es prescindible. Se desarrolla un protocolo ad-hoc de funcionalización basado en el proceso estándar APTESGlutaraldehído. Se proponen dos alternativas novedosas para la funcionalización de las áreas activas del sensor basadas en el uso de capas de oxidación de Ir02 y su activación a través de un plasma de oxígeno que no daña al dispositivo. Ambos procesos contribuyen a simplificar notablemente la funcionalización de los sensores gravimétricos. Se utilizan anticuerpos y aptámeros como receptores para detectar trombina, anticuerpo monoclonal IgG de ratón y bacteria sonicadas. Una calibración preliminar del sensor con depósitos de capas finas de Si02 de densidad y espesor conocidos permite obtener una sensibilidad de 1800 kHz/pg-cm2 y un límite de detección of 4.2 pg. Finalmente se propone el prototipo de un circuito electrónico de excitación y lectura de bajo coste diseñado empleando teoría de circuitos de microondas. Aunque su diseño y funcionamiento admite mejoras, constituye la última etapa de un sistema completo de bajo coste para el diagnóstico de especies biológicas basado en resonadores SMR de A1N. ABSTRACT Early diagnosis and detection of diseases are essential for reducing mortality rate and preventing long-term hospitalization and waste of resources. These requirements have boosted the efforts and funding on the research of accurate and reliable means for detection and quantification of biological species, also known as biosensors. The work presented in this thesis describes the development and fabrication of gravimetric biosensors based on piezoelectric AlN bulk acoustic wave (BAW) solidly mounted resonators (SMRs) for detection of biological species in liquid media. These type of devices base their sensing principles in the variation that their resonant frequency suffers when a mass is attached to their surface. They need to operate in the shear mode to maintain a strong resonance in liquid and an adequate functionalisation of their sensing area to guarantee that only the targeted molecules cause the shift. The challenges that need to be overcome to achieve piezoelectric BAW resonators for high sensitivity detection in fluids require a multidisciplinary approach, that include the study of the materials involved, the design of the device and the fluidic system, the biochemical functionalisation of the active area, the experimental proof-of-concept with different target species and the design of an electronic readout circuit. All this tasks have been tackled at different stages of the thesis and the relevant contributions are described in the document. In the field of materials, a two-stage sputtering deposition process has been developed to obtain good-quality AlN films with uniformly tilted grains required to excite the shear mode. The shear acoustic velocities of the materials composing the acoustic reflector have been accurately studied to ensure an optimum design of the reflector stack. WO3 sputtered films have been proposed as high acoustic impedance material for insulating acoustic reflectors. They display several technological advantages for the processing of the resonators. Regarding the design, a study of the influence of the electrical extensions necessary to fit a fluidic system on the performance of the devices has been performed. The results indicate that high resistivity substrates and insulating reflectors are necessary to avoid the hindering of the resonance due to the parasitic effects induced by the extensions. The influence of the different layers of the stack on the resultant TCF of the SMRs has also been investigated. The two layers of the reflector closer to the piezoelectric layer have a significant influence on the TCF, which can be reduced by modifying their thicknesses accordingly. The data provided by these studies has led to the final design of the devices, which operate at 1.3 GHz in the shear mode and display an active area of 65000 /xm2 and electrical extensions of 1.7 mm while keeping a Qahear=150 in liquid. The extensions enable to fit a custom-made fluidic system made of methacrylate. To perform the biosensing experiments, an experimental setup with a liquid closed circuit operating at constant flow has been developed. Buffers of ionic characteristics have been tested on non-isolated devices, revealing that high operation frequencies prevent the risk of short circuit. An ad-hoc functionalisation protocol based on the standard APTES - Glutaraldehyde process has been developed. It includes two new processes that simplify the fabrication of the transducers: the use of IrO2 as oxidation layer and its functionalisation through an O2 plasma treatment that does not damage the resonators. Both antibodies and aptamers are used as receptors. In liquid sensing proof-of-concept experiments with thrombin, IgG mouse monoclonal antibody and sonicated bacteria have been displayed. A preliminary calibration of the devices using SiO2 layers reveals a sensitivity of 1800 kHz/pg-cm2 and a limit of detection of 4.2 pg. Finally, a first prototype of a low-cost electronic readout circuit designed using a standard microwave approach has been developed. Although its performance can be significantly improved, it is an effective first approach to the final stage of a portable low-cost diagnostic system based on shear mode AlN SMRs.

Periodic emission of droplets from an oscillating electrified meniscus of a low-viscosity, highly conductive liquid

The generation of identical droplets of controllable size in the micrometer range is a problem of much interest owing to the numerous technological applications of such droplets. This work reports an investigation of the regime of periodic emission of droplets from an electrified oscillating meniscus of a liquid of low viscosity and high electrical conductivity attached to the end of a capillary tube, which may be used to produce droplets more than ten times smaller than the diameter of the tube. To attain this periodic microdripping regime, termed axial spray mode II by Juraschek and Röllgen [R. Juraschek and F. W. Röllgen, Int. J. Mass Spectrom. 177, 1 (1998)], liquid is continuously supplied through the tube at a given constant flow rate, while a dc voltage is applied between the tube and a nearby counter electrode. The resulting electric field induces a stress at the surface of the liquid that stretches the meniscus until, in certain ranges of voltage and flow rate, it develops a ligament that eventually detaches, forming a single droplet, in a process that repeats itself periodically. While it is being stretched, the ligament develops a conical tip that emits ultrafine droplets, but the total mass emitted is practically contained in the main droplet. In the parametrical domain studied, we find that the process depends on two main dimensionless parameters, the flow rate nondimensionalized with the diameter of the tube and the capillary time, q, and the electric Bond number BE, which is a nondimensional measure of the square of the applied voltage. The meniscus oscillation frequency made nondimensional with the capillary time, f, is of order unity for very small flow rates and tends to decrease as the inverse of the square root of q for larger values of this parameter. The product of the meniscus mean volume times the oscillation frequency is nearly constant. The characteristic length and width of the liquid ligament immediately before its detachment approximately scale as powers of the flow rate and depend only weakly on the applied voltage. The diameter of the main droplets nondimensionalized with the diameter of the tube satisfies dd≈(6/π)1/3(q/f)1/3, from mass conservation, while the electric charge of these droplets is about 1/4 of the Rayleigh charge. At the minimum flow rate compatible with the periodic regimen, the dimensionless diameter of the droplets is smaller than one-tenth, which presents a way to use electrohydrodynamic atomization to generate droplets of highly conducting liquids in the micron-size range, in marked contrast with the cone-jet electrospray whose typical droplet size is in the nanometric regime for these liquids. In contrast with other microdripping regimes where the mass is emitted upon the periodic formation of a narrow capillary jet, the present regime gives one single droplet per oscillation, except for the almost massless fine aerosol emitted in the form of an electrospray.