Turbulent collision of inertial particles: point-particle based, hybrid simulations and beyond

Point-particle based direct numerical simulation (PPDNS) has been a productive research tool for studying both single-particle and particle-pair statistics of inertial particles suspended in a turbulent carrier flow. Here we focus on its use in addressing particle-pair statistics relevant to the quantification of turbulent collision rate of inertial particles. PPDNS is particularly useful as the interaction of particles with small-scale (dissipative) turbulent motion of the carrier flow is mostly relevant. Furthermore, since the particle size may be much smaller than the Kolmogorov length of the background fluid turbulence, a large number of particles are needed to accumulate meaningful pair statistics. Starting from the relative simple Lagrangian tracking of so-called ghost particles, PPDNS has significantly advanced our theoretical understanding of the kinematic formulation of the turbulent geometric collision kernel by providing essential data on dynamic collision kernel, radial relative velocity, and radial distribution function. A recent extension of PPDNS is a hybrid direct numerical simulation (HDNS) approach in which the effect of local hydrodynamic interactions of particles is considered, allowing quantitative assessment of the enhancement of collision efficiency by fluid turbulence. Limitations and open issues in PPDNS and HDNS are discussed. Finally, on-going studies of turbulent collision of inertial particles using large-eddy simulations and particle- resolved simulations are briefly discussed.

[B_Muskiz_Muñatones] Documentación geométrica y modelado virtual del Castillo de Muñatones (Muskiz, Bizkaia)

[ES] Este proyecto tuvo una continuación en 2008, cuando se documentó la muralla interior del castillo. Este trabajo también está disponible en este repositorio. Asimismo, algunos artículos y proyectos fin de carrera hacen referencia a los datos capturados en este proyecto. En concreto, los registros relacionados son los siguientes:

A singularly perturbed linear two-point boundary-value problem

We consider the following singularly perturbed linear two-point boundary-value problem:

Ly(x) ≡ Ω(ε)D_xy(x) - A(x,ε)y(x) = f(x,ε) 0≤x≤1 (1a)

By ≡ L(ε)y(0) + R(ε)y(1) = g(ε) ε → 0^+ (1b)

Here Ω(ε) is a diagonal matrix whose first m diagonal elements are 1 and last m elements are ε. Aside from reasonable continuity conditions placed on A, L, R, f, g, we assume the lower right mxm principle submatrix of A has no eigenvalues whose real part is zero. Under these assumptions a constructive technique is used to derive sufficient conditions for the existence of a unique solution of (1). These sufficient conditions are used to define when (1) is a regular problem. It is then shown that as ε → 0^+ the solution of a regular problem exists and converges on every closed subinterval of (0,1) to a solution of the reduced problem. The reduced problem consists of the differential equation obtained by formally setting ε equal to zero in (1a) and initial conditions obtained from the boundary conditions (1b). Several examples of regular problems are also considered.

A similar technique is used to derive the properties of the solution of a particular difference scheme used to approximate (1). Under restrictions on the boundary conditions (1b) it is shown that for the stepsize much larger than ε the solution of the difference scheme, when applied to a regular problem, accurately represents the solution of the reduced problem.

Furthermore, the existence of a similarity transformation which block diagonalizes a matrix is presented as well as exponential bounds on certain fundamental solution matrices associated with the problem (1).

Development of protein-catalyzed capture (PCC) agents with application to the specific targeting of the E17K Point mutation of Akt1

This thesis describes the expansion and improvement of the iterative in situ click chemistry OBOC peptide library screening technology. Previous work provided a proof-of-concept demonstration that this technique was advantageous for the production of protein-catalyzed capture (PCC) agents that could be used as drop-in replacements for antibodies in a variety of applications. Chapter 2 describes the technology development that was undertaken to optimize this screening process and make it readily available for a wide variety of targets. This optimization is what has allowed for the explosive growth of the PCC agent project over the past few years.

These technology improvements were applied to the discovery of PCC agents specific for single amino acid point mutations in proteins, which have many applications in cancer detection and treatment. Chapter 3 describes the use of a general all-chemical epitope-targeting strategy that can focus PCC agent development directly to a site of interest on a protein surface. This technique utilizes a chemically-synthesized chunk of the protein, called an epitope, substituted with a click handle in combination with the OBOC in situ click chemistry libraries in order to focus ligand development at a site of interest. Specifically, Chapter 3 discusses the use of this technique in developing a PCC agent specific for the E17K mutation of Akt1. Chapter 4 details the expansion of this ligand into a mutation-specific inhibitor, with applications in therapeutics.

Studies in nuclear reactor dynamics : I. The accuracy of point kinetics. II. The effect of delayed neutrons on the spectrum of the group-diffusion operator

This thesis is a theoretical work on the space-time dynamic behavior of a nuclear reactor without feedback. Diffusion theory with G-energy groups is used.

In the first part the accuracy of the point kinetics (lumped-parameter description) model is examined. The fundamental approximation of this model is the splitting of the neutron density into a product of a known function of space and an unknown function of time; then the properties of the system can be averaged in space through the use of appropriate weighting functions; as a result a set of ordinary differential equations is obtained for the description of time behavior. It is clear that changes of the shape of the neutron-density distribution due to space-dependent perturbations are neglected. This results to an error in the eigenvalues and it is to this error that bounds are derived. This is done by using the method of weighted residuals to reduce the original eigenvalue problem to that of a real asymmetric matrix. Then Gershgorin-type theorems .are used to find discs in the complex plane in which the eigenvalues are contained. The radii of the discs depend on the perturbation in a simple manner.

In the second part the effect of delayed neutrons on the eigenvalues of the group-diffusion operator is examined. The delayed neutrons cause a shifting of the prompt-neutron eigenvalue s and the appearance of the delayed eigenvalues. Using a simple perturbation method this shifting is calculated and the delayed eigenvalues are predicted with good accuracy.

The lakes of Michoacan (Mexico): A brief history and alternative point of view

This article is intended to open a discussion about the historical development of lakes Zirahuen, Patzcuaro and Cuitzeo in the state of Michoacan, and the postulated relationships between lake ecology and evolution. Dr Fernando De Buen was the first man dedicated to limnology in Mexico who came to the country in the 1930s. He was adviser at the Estacion Limnologica de Patzcuaro and wrote outstanding papers dealing with Mexican lakes. The lakes of Michoacan probably formed in the late Pliocene or Holocene, and were part of a tributary to the Lerma River, which became isolated by successive volanic barriers to form lake basins. Lake Zirahuen is a warm monomictic waterbody with unique water dynamics amongst the Michoacan lakes. Because it is relatively deep (max depth 40m), seasonal patterns of alternating circulation and thermal stratification develop in the lake, a feature not shared by the other two polymictic shallow lakes, Patzcuaro and Cuitzeo.

Modelización acústica del interior de un Tren de Alta Velocidad

[ES]El presente Trabajo de Fin de Grado, titulado ‘Modelización Acústica del Interior de un Tren de Alta Velocidad’, tiene como objetivo el análisis acústico a bajas frecuencias del habitáculo de un coche de un tren de alta velocidad. La temática ha sido elegida debido a la creciente presencia de trenes de alta velocidad en nuestro entorno, en los cuales el Control Acústico o de Ruidos es un aspecto muy importante para el confort del medio de transporte. Dentro de los ruidos por los que se ve afectado el tren, los de baja frecuencia son los más difíciles de tratar y controlar, y es por ello que van a constituir la línea de trabajo de este proyecto. La estructura de lo que se va a tratar en este proyecto es la siguiente: En primer lugar, se analizará el contexto en que se encuadra este proyecto y las razones que han llevado a su realización. Posteriormente, se explicarán los fundamentos teóricos que hay detrás de los análisis que se van a realizar. Más adelante se pasará al análisis del caso práctico que se ha elegido para ilustrar el proyecto: el habitáculo de un coche del tren Serie 120 de Renfe, construido por CAF [1, 2, 3]. Se realizarán tanto análisis modales como de respuesta forzada. Dicho ejemplo servirá de base para asentar las conclusiones y proponer la aplicación que se les puede dar a éstas, así como las líneas de investigación para las cuales este proyecto puede ser un punto de partida.

Dielectric recovery of short A-C arcs between low-boiling-point electrodes

The re-ignition characteristics (variation of re-ignition voltage with time after current zero) of short alternating current arcs between plane brass electrodes in air were studied by observing the average re-ignition voltages on the screen of a cathode-ray oscilloscope and controlling the rates of rise of voltage by varying the shunting capacitance and hence the natural period of oscillation of the reactors used to limit the current. The shape of these characteristics and the effects on them of varying the electrode separation, air pressure, and current strength were determined.

The results show that short arc spaces recover dielectric strength in two distinct stages. The first stage agrees in shape and magnitude with a previously developed theory that all voltage is concentrated across a partially deionized space charge layer which increases its breakdown voltage with diminishing density of ionization in the field-tree space. The second stage appears to follow complete deionization by the electric field due to displacement of the field-free region by the space charge layer, its magnitude and shape appearing to be due simply to increase in gas density due to cooling. Temperatures calculated from this second stage and ion densities determined from the first stage by means of the space charge equation and an extrapolation of the temperature curve are consistent with recent measurements of arc value by other methods. Analysis or the decrease with time of the apparent ion density shows that diffusion alone is adequate to explain the results and that volume recombination is not. The effects on the characteristics of variations in the parameters investigated are found to be in accord with previous results and with the theory if deionization mainly by diffusion be assumed.

Uma crítica fenomenológica à tese de Kant sobre o Ser: da linguagem-utensílo à linguagem-constituição

Este trabalho visa realizar os primeiros passos de um projeto mais longo, cujo objetivo é determinar o sentido daquilo que entendemos como pergunta pelo sentido do ser; junto a isso, se tem aqui igualmente o propósito de pensar a metodologia que acaso venha a ser adequada, isto é, o tratamento específico que possa alguma vez dar a tal questionamento um desenvolvimento legítimo. O caminho por nós adotado partirá de Kant por motivos estratégicos, principalmente pela razão de encontrarmos aí uma tese declarada sobre ser, que lhe concede um sentido unitário: ao comentá-la, reconstruindo-a por meio da apresentação de alguns de seus momentos, estaremos nos utilizando da mesma para apontar aquilo que acreditamos constituir uma corrupção de sentido nas suas próprias bases, permitindo compreender as dificuldades lançadas pela questão que, assim nos parece, são as mesmas que terminam por gerar as confusões que perfazem a própria história da metafísica. Isto significa que nossa discussão do caso kantiano - embora vise diretamente a filosofia crítica e todo projeto de uma teoria das faculdades - deverá cunhar resultados mais amplos, já mesmo porque, a partir dela, viremos mesmo a afirmar a total inadequação de uma abordagem do sentido do ser sob o ponto de vista do comportamento teórico. Por oposição a ele, procuraremos demonstrar que ser só pode ser abordado no interior de um campo de sentido que se apresente como o que chamaremos de atividade descritiva ou, poderíamos igualmente dizer, uma atividade de mostração. Este último ponto, conclusivo somente quanto à parte do caminho que nosso projeto mais geral nos exige percorrer, será explicitado com a ajuda de alguns dos conceitos apresentados por Husserl em suas Investigações Lógicas.