Experiments of periodic forcing of Saffman-Taylor fingers

We report on an experimental study of long normal Saffman-Taylor fingers subject to periodic forcing. The sides of the finger develop a low amplitude, long wavelength instability. We discuss the finger response in stationary and nonstationary situations, as well as the dynamics towards the stationary states. The response frequency of the instability increases with forcing frequency at low forcing frequencies, while, remarkably, it becomes independent of forcing frequency at large forcing frequencies. This implies a process of wavelength selection. These observations are in good agreement with previous numerical results reported in [Ledesma-Aguilar et al., Phys. Rev. E 71, 016312 (2005)]. We also study the average value of the finger width, and its fluctuations, as a function of forcing frequency. The average finger width is always smaller than the width of the steady-state finger. Fluctuations have a nonmonotonic behavior with a maximum at a particular frequency.

Phase-field approach to spatial perturbations in normal Saffman-Taylor fingers

We make a numerical study of the effect that spatial perturbations have in normal Saffman-Taylor fingers driven at constant pressure gradients. We use a phase field model that allows for spatial variations in the Hele-Shaw cell. We find that, regardless of the specific way in which spatial perturbations are introduced, a lateral instability develops on the sides of the propagating Saffman-Taylor finger. Moreover, the instability exists regardless of the intensity of spatial perturbations in the cell as long as the perturbations are felt by the finger tip. If, as the finger propagates, the spatial perturbations felt by the tip change, the instability is nonperiodic. If, as the finger propagates, the spatial perturbations felt by the tip are persistent, the instability developed is periodic. In the later case, the instability is symmetrical or asymmetrical depending on the intensity of the perturbation.

Dynamical Systems approach to Saffman-Taylor fingering. A Dynamical Solvability Scenario

A dynamical systems approach to competition of Saffman-Taylor fingers in a Hele-Shaw channel is developed. This is based on global analysis of the phase space flow of the low-dimensional ordinary-differential-equation sets associated with the classes of exact solutions of the problem without surface tension. Some simple examples are studied in detail. A general proof of the existence of finite-time singularities for broad classes of solutions is given. Solutions leading to finite-time interface pinchoff are also identified. The existence of a continuum of multifinger fixed points and its dynamical implications are discussed. We conclude that exact zero-surface tension solutions taken in a global sense as families of trajectories in phase space are unphysical because the multifinger fixed points are nonhyperbolic, and an unfolding does not exist within the same class of solutions. Hyperbolicity (saddle-point structure) of the multifinger fixed points is argued to be essential to the physically correct qualitative description of finger competition. The restoring of hyperbolicity by surface tension is proposed as the key point to formulate a generic dynamical solvability scenario for interfacial pattern selection.

Fluctuations in Saffman-Taylor fingers with quenched disorder

We make an experimental characterization of the effect that static disorder has on the shape of a normal Saffman-Taylor finger. We find that static noise induces a small amplitude and long wavelength instability on the sides of the finger. Fluctuations on the finger sides have a dominant wavelength, indicating that the system acts as a selective amplifier of static noise. The dominant wavelength does not seem to be very sensitive to the intensity of static noise present in the system. On the other hand, at a given flow rate, rms fluctuations of the finger width, decrease with decreasing intensity of static noise. This might explain why the sides of the fingers are flat for typical Saffman-Taylor experiments. Comparison with previous numerical studies of the effect that temporal noise has on the Saffman-Taylor finger, leads to conclude that the effect of temporal noise and static noise are similar. The behavior of fluctuations of the finger width found in our experiments, is qualitatively similar to one recently reported, in the sense that, the magnitude of the width fluctuations decays as a power law of the capillary number, at low flow rates, and increases with capillary number for larger flow rates.

Infraestructuras y desarrollo económico en el Pirineo Central (1850-2000)

This paper is aimed at describing the impact of infrastructure on the economic evolution of Central Pyrenees (i.e., Huesca and the Catalan"Alt Pirineu"). The text analyses if investment in railways, roads and dams favoured economic development or, on the contrary, was just an instrument to extract domestic resources. The paper distinguishes among three different periods. Firstly, during the second half of the nineteenth century and the first few years of the twentieth century, the lack of railway connections prevented the economic development of the area. Secondly, between the first decades of the twentieth century and 1975, a road network was set up that reinforced the economic decadence of the most depressed valleys, and the construction of large dams was a powerful factor of depopulation all over the region. Finally, from 1975 onwards, some trends may be observed towards the correction of the previous policies.

L'Acadèmia d'Estudiants de medicina : Barcelona, 1845-1850

Amb aquest treball es dona testimoni de l'existència i activitats de l'Acadèmia d'Estudiants de Medicina entre els anys 1845 i 1850, una associació que agrupava els estudiants dels dos últims anys de Medicina. A més a més, els autors fan una descricpció acurada del marc acadèmic per a l'estudi de la medicina en aquella època: el funcionament de la facultat, el nombre de catedràtics, professors i alumnes, les instal·lacions, etc. El treball conté també un registre de les sessions acadèmiques (a raó d'una per setmana) cel·lebrades de les què es guarda referència. Ja per últim, s'inclouen a l'addenda, tres memòries amb tres dissertacions de mans d'Eliseu Forest i Cardona, Antoni de la Creu Roca i Flaquer i Francesc Sunyer i Capdevila.

Aproximació geogràfica als projectes hidràulics del Ter selvatà (1850-1930). Reflexions a propòsit d’un llibre recent

This contribution tries to do a geographical approach about the hydraulic works in the River Ter, in the area of the Selva county. The reflections included here are based in the considerations of the research contained in the book of the historian Gerard Buxeda recently published. The interest will be focused in the scale of the projects proposed, in the differentiation of their characteristics according to the zone where will be proposed, in the relation of these works with the policy and the ideology dominant in the state, etc. In short, the aim is to frame the hydraulic works in a larger context and with the geographical specifies during the period 1850-1930

Evolució, justificacions i propostes de la gran obra hidràulica a les conques de la Muga i del Fluvià (1850-1980). La irrigació com a protagonista

Als darrers 150 anys, les grans infraestructures hidràuliques, per acció o per omissió, han jugat un paper destacat però força desconegut a les conques hidrogràfiques gironines de la Muga i del Fluvià. Així, s’efectua, a continuació, una reconstrucció retrospectiva i comparada de les propostes de gran obra hidràulica (embassaments, canals complementaris...) que, en aquest període, han estat ideades i en el seu cas executades, a ambdues conques. S’atorgarà una atenció especial a les justificacions, finalitats, discursos i agents socials que han inspirat la seva concepció i les causes que han conduït al seu èxit o al seu fracàs. Tot plegat es contextualitza dins dels plans, les polítiques i la legislació hidràulica estatals. Aquí s’afegirà la influència del proper riu Ter, a partir de la dècada de 1950-59, des del moment en què es decideix l’abastament parcial amb els seus cabals a Barcelona i a la seva zona d’influència

Land use changes, landscape ecology and their socioeconomic driving forces in the Spanish Mediterranean coast (the Maresme County, 1850-2005)

[cat] Utilitzem un conjunt de mètriques del paisatge per estudiar l'evolució a llarg termini seguida en una típica zona costanera del Mediterrani des de 1850 fins a 2005, que mostren una greu deterioració del medi ambient entre 1950 i 2005. Les principals forces motores d'aquesta degradació del paisatge han estat el creixement urbà experimentat a les antigues zones agrícoles situades a les planes litorals, juntament amb l'abandonament i la reforestació dels vessants dels pujols interceptats per àrees residencials de baixa densitat, carreteres i altres infraestructures lineals. Duem a terme una anàlisi estadística de redundància (RDA) amb la finalitat d'identificar els que considerem com alguns agents rectors socioeconòmics i polítics d'última instància d'aquests impactes ambientals. Els resultats confirmen les nostres hipòtesis interpretatives, que són que: 1) els canvis en les cobertes i usos del sòl determinen canvis en les propietats dels paisatge, tant estructurals com funcionals; 2) aquests canvis no es produeixen per atzar, sinó que estan relacionats amb factors geogràfics i forces socioeconòmiques i polítiques.

Land use changes, landscape ecology and their socioeconomic driving forces in the Spanish Mediterranean coast (the Maresme County, 1850-2005)

[cat] Utilitzem un conjunt de mètriques del paisatge per estudiar l'evolució a llarg termini seguida en una típica zona costanera del Mediterrani des de 1850 fins a 2005, que mostren una greu deterioració del medi ambient entre 1950 i 2005. Les principals forces motores d'aquesta degradació del paisatge han estat el creixement urbà experimentat a les antigues zones agrícoles situades a les planes litorals, juntament amb l'abandonament i la reforestació dels vessants dels pujols interceptats per àrees residencials de baixa densitat, carreteres i altres infraestructures lineals. Duem a terme una anàlisi estadística de redundància (RDA) amb la finalitat d'identificar els que considerem com alguns agents rectors socioeconòmics i polítics d'última instància d'aquests impactes ambientals. Els resultats confirmen les nostres hipòtesis interpretatives, que són que: 1) els canvis en les cobertes i usos del sòl determinen canvis en les propietats dels paisatge, tant estructurals com funcionals; 2) aquests canvis no es produeixen per atzar, sinó que estan relacionats amb factors geogràfics i forces socioeconòmiques i polítiques.

Railroad Impact in Backward Economies: Spain, 1850-1913

This article reassesses the economic impact of Spanish railroads in 1850-1913, which has been usually considered to be substantially higher than in the most developed countries on the basis of the social saving methodology. The application of growth accounting techniques shows, by contrast, that the direct contribution of railroads to economic growth was lower in Spain than in the UK, mainly due to the low importance that railroad transport had within Spanish GDP before 1913.

Sistemas agrarios sustentables y transiciones en el metabolismo agrario: desigualdad social, cambios institucionales y transformaciones del paisaje en Catalunya (1850-2010)

How did farmers maintain soil fertility as they cultivated the same land over decades and centuries? How did they transfer energy and nutrients (nitrogen, potassium, phosphorous) across the landscape to fertilize crops? How did farmers structure landscapes (field, pasture, woodland) to sustain communities, ensure long-term productivity, and produce profits? We summarize in this article the results of the ongoing research on the last stage of organic agriculture in Catalonia carried out by our project. We also outline the forthcoming steps to continue our research.

Infrastructure Investment and Spanish Economic Growth, 1850-1935

This paper analyzes the impact of infrastructure investment on Spanish economic growth between 1850 and 1935. Using new infrastructure data and VAR techniques, this paper shows that the growth impact of local-scope infrastructure investment was positive, but returns to investment in large nation-wide networks were not significantly different from zero. Two complementary explanations are suggested for the last result. On the one hand, public intervention and the application of non-efficiency investment criteria were very intense in large network construction. On the other hand, returns to new investment in large networks might have decreased dramatically once the basic links were constructed.