963 resultados para MODIFIED WEIBULL DISTRIBUTION


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Using a modified sample preparation technique, we have been able to establish a detailed lower Campanian to upper Eocene nannofossil stratigraphy in the Bottaccione and Contessa Highway sections near Gubbio. Appearance and extinction levels of virtually all the commonly used calcareous nannofossil zonal markers have been recognized and can now be closely correlated with the planktonic foraminifera zonation and the magnetic reversal stratigraphy previously established in these sections. Comparisons with the nannofossil calibrations of the oceanic magnetic anomaly sequence in Deep Sea Drilling Project (DSDP) sites suggest that magmetic Subchrons C17N and C25N are missing in the Bottaccione section. The observed variability of the relative stratigraphic position of most plankton events is confirmed to less than one magnetic subchron. Absolute abundance, paleobiogeographic restriction, and differential preservation render some of the traditionally used biostratigraphic events less reliable than others.

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Data on concentrations and distribution of particulate matter in the Caspian Sea obtained during surveys in 1981-1983 with use of modified filtering units have shown that over the major part of the sea concentration of particulate matter does dot exceed 1-2 mg/l. Only in the northern Caspian and in coastal regions concentrations correspond to values measured earlier. Total amount of particulate matter in the Caspian Sea is about of 90 million ton, 19.6% in the Northern Caspian, 28.1% in the Middle Caspian, and 52.3% in the Southern Caspian. Contents of carbon in particulate matter of the Central Caspian reach 30-40%, and over a significant part of the sea - 20%. A correlation has been found between areas of increased carbon contents in particulate matter and in bottom sediments. An important role of biofiltration in enrichment of particulates in organic matter has been noted. From data on carbon contents and an estimate of particulate matter input biogenic portion in particulate matter exceeds 50% for the whole sea.

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En esta tesis se propone un procedimiento para evaluar la resistencia mecánica de obleas de silicio cristalino y se aplica en diferentes casos válidos para la industria. En el sector de la industria fotovoltaica predomina la tecnología basada en paneles de silicio cristalino. Estos paneles están compuestos por células solares conectadas en serie y estas células se forman a partir de obleas de silicio. Con el objetivo de disminuir el coste del panel, en los últimos años se ha observado una clara tendencia a la reducción del espesor de las obleas. Esta reducción del espesor modifica la rigidez de las obleas por lo que ha sido necesario modificar la manera tradicional de manipularlas con el objetivo de mantener un bajo ratio de rotura. Para ello, es necesario conocer la resistencia mecánica de las obleas. En la primera parte del trabajo se describen las obleas de silicio, desde su proceso de formación hasta sus propiedades mecánicas. Se muestra la influencia de la estructura cristalográfica en la resistencia y en el comportamiento ya que el cristal de silicio es anisótropo. Se propone también el método de caracterización de la resistencia. Se utiliza un criterio probabilista basado en los métodos de dimensionamiento de materiales frágiles en el que la resistencia queda determinada por los parámetros de la ley de Weibull triparamétrica. Se propone el procedimiento para obtener estos parámetros a partir de campañas de ensayos, modelización numérica por elementos finitos y un algoritmo iterativo de ajuste de los resultados. En la segunda parte de la tesis se describen los diferentes tipos de ensayos que se suelen llevar a cabo con este material. Se muestra además, para cada uno de los ensayos descritos, un estudio comparativo de diferentes modelos de elementos finitos simulando los ensayos. Se comparan tanto los resultados aportados por cada modelo como los tiempos de cálculo. Por último, se presentan tres aplicaciones diferentes donde se ha aplicado este procedimiento de estudio. La primera aplicación consiste en la comparación de la resistencia mecánica de obleas de silicio en función del método de crecimiento del lingote. La resistencia de las tradicionales obleas monocristalinas obtenidas por el método Czochralski y obleas multicristalinas es comparada con las novedosas obleas quasi-monocristalinas obtenidas por métodos de fundición. En la segunda aplicación se evalúa la profundidad de las grietas generadas en el proceso de corte del lingote en obleas. Este estudio se realiza de manera indirecta: caracterizando la resistencia de grupos de obleas sometidas a baños químicos de diferente duración. El baño químico reduce el espesor de las obleas eliminando las capas más dañadas. La resistencia de cada grupo es analizada y la comparación permite obtener la profundidad de las grietas generadas en el proceso de corte. Por último, se aplica este procedimiento a un grupo de obleas con características muy especiales: obleas preparadas para formar células de contacto posterior EWT. Estas obleas presentan miles de agujeros que las debilitan considerablemente. Se aplica el procedimiento de estudio propuesto con un grupo de estas obleas y se compara la resistencia obtenida con un grupo de referencia. Además, se propone un método simplificado de estudio basado en la aplicación de una superficie de intensificación de tensiones. ABSTRACT In this thesis, a procedure to evaluate the mechanical strength of crystalline silicon wafers is proposed and applied in different studies. The photovoltaic industry is mainly based on crystalline silicon modules. These modules are composed of solar cells which are based on silicon wafers. Regarding the cost reduction of solar modules, a clear tendency to use thinner wafers has been observed during last years. Since the stiffness varies with thickness, the manipulation techniques need to be modified in order to guarantee a low breakage rate. To this end, the mechanical strength has to be characterized correctly. In the first part of the thesis, silicon wafers are described including the different ways to produce them and the mechanical properties of interest. The influence of the crystallographic structure in the strength and the behaviour (the anisotropy of the silicon crystal) is shown. In addition, a method to characterize the mechanical strength is proposed. This probabilistic procedure is based on methods to characterize brittle materials. The strength is characterized by the values of the three parameters of the Weibull cumulative distribution function (cdf). The proposed method requires carrying out several tests, to simulate them through Finite Element models and an iterative algorithm in order to estimate the parameters of the Weibull cdf. In the second part of the thesis, the different types of test that are usually employed with these samples are described. Moreover, different Finite Element models for the simulation of each test are compared regarding the information supplied by each model and the calculation times. Finally, the method of characterization is applied to three examples of practical applications. The first application consists in the comparison of the mechanical strength of silicon wafers depending on the ingot growth method. The conventional monocrystalline wafers based on the Czochralski method and the multicrystalline ones are compared with the new quasi-monocrystalline substrates. The second application is related to the estimation of the crack length caused by the drilling process. An indirect way is used to this end: several sets of silicon wafers are subjected to chemical etchings of different duration. The etching procedure reduces the thickness of the wafers removing the most damaged layers. The strength of each set is obtained by means of the proposed method and the comparison permits to estimate the crack length. At last, the procedure is applied to determine the strength of wafers used for the design of back-contact cells of type ETW. These samples are drilled in a first step resulting in silicon wafers with thousands of tiny holes. The strength of the drilled wafers is obtained and compared with the one of a standard set without holes. Moreover, a simplified approach based on a stress intensification surface is proposed.

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Amperometry at a carbon fiber microelectrode modified with a composite of ruthenium oxide and cyanoruthenate was used to monitor chemical secretions of single pancreatic beta cells from rats and humans. When the insulin secretagogues glucose, tolbutamide, and K+ were applied to the cell, a series of randomly occurring current spikes was observed. The current spikes were shown to be due to the detection of chemical substances secreted from the cell. Chromatography showed that the primary secreted substance detected by the electrode was insulin. The current spikes were strongly dependent on external Ca2+, had an average area that was independent of the stimulation method, and had an area distribution which corresponded to the distribution of vesicle sizes in beta cells. It was concluded that the spikes were due to the detection of concentration pulses of insulin secreted by exocytosis.

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Thesis (Master's)--University of Washington, 2016-06

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In this article we study the effects of adsorbed phase compression, lattice structure, and pore size distribution on the analysis of adsorption in microporous activated carbon. The lattice gas approach of Ono-Kondo is modified to account for the above effects. Data of nitrogen adsorption at 77 K onto a number of activated carbon samples are analyzed to investigate the pore filling pressure versus pore width, the packing effect, and the compression of the adsorbed phase. It is found that the PSDs obtained from this analysis are comparable to those obtained by the DFT method. The discrete nature of the PSDs derived from the modified lattice gas theory is due to the inherent assumption of discrete layers of molecules. Nevertheless, it does provide interesting information on the evolution of micropores during the activation process.

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The generalized secant hyperbolic distribution (GSHD) proposed in Vaughan (2002) includes a wide range of unimodal symmetric distributions, with the Cauchy and uniform distributions being the limiting cases, and the logistic and hyperbolic secant distributions being special cases. The current article derives an asymptotically efficient rank estimator of the location parameter of the GSHD and suggests the corresponding one- and two-sample optimal rank tests. The rank estimator derived is compared to the modified MLE of location proposed in Vaughan (2002). By combining these two estimators, a computationally attractive method for constructing an exact confidence interval of the location parameter is developed. The statistical procedures introduced in the current article are illustrated by examples.

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Analysis of intra- and inter-phase distribution of modifying elements in aluminium-silicon alloys is difficult due to the low concentrations used. This research utilises a mu-XRF (X-ray fluorescence) technique at the SPring-8 synchrotron radiation facility X-ray source and reveals that the modifying element strontium segregates exclusively to the eutectic silicon phase and the distribution of strontium within this phase is relatively homogeneous. This has important implications for the fundamental mechanisms of eutectic modification in hypoeutectic aluminium-silicon alloys. (c) 2006 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.

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In this study, the amino acids arginine, aspartic acid, leucine, phenylalanine and threonine were investigated as 'dispersibility enhancers' in spray-dried powders for inhalation. Parameters such as spray-dried yield, tapped density, and Carr's Index were not predictive of aerosolisation performance. In addition, whilst the majority of amino acid-modified powders displayed suitable particle size distribution for pulmonary administration and potentially favourable low moisture content, in vitro particle deposition was only enhanced for the leucine-modified powder. In summary, leucine can be used to enhance the dispersibility and aerosolisation properties of spray-dried powders for pulmonary drug delivery. © 2007 Elsevier B.V. All rights reserved.

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The thesis describes experimental work on the possibility of using deflection baffles in conventional distillation trays as flow straightening devices, with the view of enhancing tray efficiency. The mode of operation is based on deflecting part of the liquid momentum from the centre of the tray to the segment regions in order to drive stagnating liquid at the edges forward. The first part of the work was a detailed investigation into the two-phase flow patterns produced on a conventional sieve tray having 1 mm hole size perforations. The data provide a check on some earlier work and extend the range of the existing databank, particularly to conditions more typical of industrial operation. A critical survey of data collected on trays with different hole sizes (Hine, 1990; Chambers, 1993; Fenwick, 1996; this work) showed that the hole diameter has a significant influence on the flow regime, the size of the stagnant regions and the hydraulic and mass transfer performance. Five modified tray topologies were created with different configurations of baffles and tested extensively in the 2.44 m diameter air-water pilot distillation simulator for their efficacy in achieving uniform flow across the tray and for their impact on tray loading capacity and mass transfer efficiency. Special attention was given to the calibration of the over 100 temperature probes used in measuring the water temperature across the tray on which the heat and mass transfer analogy is based. In addition to normal tray capacity experiments, higher weir load experiments were conducted using a 'half-tray' mode in order to extend the range of data to conditions more typical of industrial operation. The modified trays show superior flow characteristics compared to the conventional tray in terms of the ability to replenish the zones of exceptionally low temperatures and high residence times at the edges of the tray, to lower the bulk liquid gradient and to achieve a more uniform flow across the tray. These superior flow abilities, however, tend to diminish with increasing weir load because of the increasing tendency for the liquid to jump over the barriers instead of flowing over them. The modified tray topologies showed no tendency to cause undue limitation to tray loading capacity. Although the improvement in the efficiency of a single tray over that of the conventional tray was moderate and in some cases marginal, the multiplier effect in a multiple tray column situation would be significant (Porter et al., 1972). These results are in good agreement with an associated CFD studies (Fischer, 1999) carried out by partners in the Advanced Studies in Distillation consortium. It is concluded that deflection baffles can be used in a conventional distillation sieve tray to achieve better liquid flow distribution and obtain enhanced mass transfer efficiency, without undermining the tray loading capacity. Unlike any other controlled-flow tray whose mechanical complexity impose stringent manufacturing and installation tolerances, the baffled-tray models are simple to design, manufacture and install and thus provide an economic method of retrofitting badly performing sieve trays both in terms of downtime and fabrication. NOTE APPENDICES 2-5 ARE ON A SEPARATE FLOPPY DISK ONLY AVAILABLE FOR CONSULTATION AT ASTON UNIVERSITY LIBRARY WITH PRIOR ARRANGEMENT

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The literature relating to haze formation, methods of separation, coalescence mechanisms, and models by which droplets <100 μm are collected, coalesced and transferred, have been reviewed with particular reference to particulate bed coalescers. The separation of secondary oil-water dispersions was studied experimentally using packed beds of monosized glass ballotini particles. The variables investigated were superficial velocity, bed depth, particle size, and the phase ratio and drop size distribution of inlet secondary dispersion. A modified pump loop was used to generate secondary dispersions of toluene or Clairsol 350 in water with phase ratios between 0.5-6.0 v/v%.Inlet drop size distributions were determined using a Malvern Particle Size Analyser;effluent, coalesced droplets were sized by photography. Single phase flow pressure drop data were correlated by means of a Carman-Kozeny type equation. Correlations were obtained relating single and two phase pressure drops, as (ΔP2/μc)/ΔP1/μd) = kp Ua Lb dcc dpd Cine A flow equation was derived to correlate the two phase pressure drop data as, ΔP2/(ρcU2) = 8.64*107 [dc/D]-0.27 [L/D]0.71 [dp/D]-0.17 [NRe]1.5 [e1]-0.14 [Cin]0.26  In a comparison between functions to characterise the inlet drop size distributions a modification of the Weibull function provided the best fit of experimental data. The general mean drop diameter was correlated by: q_p q_p p_q /β      Γ ((q-3/β) +1) d qp = d fr  .α        Γ ((P-3/β +1 The measured and predicted mean inlet drop diameters agreed within ±15%. Secondary dispersion separation depends largely upon drop capture within a bed. A theoretical analysis of drop capture mechanisms in this work indicated that indirect interception and London-van der Waal's mechanisms predominate. Mathematical models of dispersed phase concentration m the bed were developed by considering drop motion to be analogous to molecular diffusion.The number of possible channels in a bed was predicted from a model in which the pores comprised randomly-interconnected passage-ways between adjacent packing elements and axial flow occured in cylinders on an equilateral triangular pitch. An expression was derived for length of service channels in a queuing system leading to the prediction of filter coefficients. The insight provided into the mechanisms of drop collection and travel, and the correlations of operating parameters, should assist design of industrial particulate bed coalescers.

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Polymer modified cements and mortars have become popular for use as patch repair materials. General evidence suggests that these materials offer considerable improvements compared to traditional mortars although the mechanisms for this are not fully understood. This work elucidates the factors which govern some properties and performance of different polymer systems. In view of the wide range of commercial systems available, investigations concentrated on the use of three of the most commonly available groups of polymers. These were: (1) Styrene Butadiene Rubber (SBR), (2) Acrylics and, (3) Ethylene Vinyl Acetates (EVA). The later two were in the form of both emulsions and redispersible powders. Experiments concentrated on: (1) Rheological behaviour of polymer modified cement pastes; (2) Workability of polymer modified mortars; (3) Influence of curing conditions on the pore size distribution and diffusion of chloride ions; (4) Bond strength of polymer modified cement and mortar patches; and (5) Microscopic examination and semi-quantitative analyses of the bulk and interfacial microstructures. The following main conclusions were reached: (1) The addition of polymer emulsions have a considerable influence on the workability of fresh cement pastes, the extent of this depending on the type of system used. (2) The rheological parameters of fresh polymer modified mortars can be established using a two-point workability test which may be used when comparing the properties of different systems at constant workability. (3) Curing conditions affect the properties of polymer modified systems and a wet/dry curing regime was essential for good adhesion of these materials to mortar substrates. (4) In contrast, the wet/dry curing regime resulted in a curing affected zone at the surface of patch materials. This can result in a much coarser pore structure and enhanced diffusion of e.g. chloride ions. (5) The microstructure of polymer modified systems was very different compared with the unmodified cement/mortar and varied depending on curing conditions.

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Using a modified deprivation (or poverty) function, in this paper, we theoretically study the changes in poverty with respect to the 'global' mean and variance of the income distribution using Indian survey data. We show that when the income obeys a log-normal distribution, a rising mean income generally indicates a reduction in poverty while an increase in the variance of the income distribution increases poverty. This altruistic view for a developing economy, however, is not tenable anymore once the poverty index is found to follow a pareto distribution. Here although a rising mean income indicates a reduction in poverty, due to the presence of an inflexion point in the poverty function, there is a critical value of the variance below which poverty decreases with increasing variance while beyond this value, poverty undergoes a steep increase followed by a decrease with respect to higher variance. Identifying this inflexion point as the poverty line, we show that the pareto poverty function satisfies all three standard axioms of a poverty index [N.C. Kakwani, Econometrica 43 (1980) 437; A.K. Sen, Econometrica 44 (1976) 219] whereas the log-normal distribution falls short of this requisite. Following these results, we make quantitative predictions to correlate a developing with a developed economy. © 2006 Elsevier B.V. All rights reserved.

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Spray-drying is an effective process for preparing micron-dimensioned particles for pulmonary delivery. Previously, we have demonstrated enhanced dispersibility and fine particle fraction of spray-dried nonviral gene delivery formulations using amino acids or absorption enhancers as dispersibility-enhancing excipients. In this study, we investigate the use of the cationic polymer chitosan as a readily available and biocompatible dispersibility enhancer. Lactose-lipid:polycation:pDNA (LPD) powders were prepared by spray-drying and post-mixed with chitosan or spray-dried chitosan. In addition, the water-soluble chitosan derivative, trimethyl chitosan, was added to the lactose-LPD formulation before spray-drying. Spray-dried chitosan particles, displaying an irregular surface morphology and diameter of less than 2 mu m, readily adsorbed to lactose-LPD particles following mixing. In contrast with the smooth spherical surface of lactose-LPD particles, spray-dried trimethyl chitosan-lactose-LPD particles demonstrated increased surface roughness and a unimodal particle size distribution (mean diameter 3.4 mu m), compared with the multimodal distribution for unmodified lactose-LPD powders (mean diameter 23.7 mu m). The emitted dose and in vitro deposition of chitosan-modified powders was significantly greater than that of unmodified powders. Moreover, the inclusion of chitosan mediated an enhanced level of reporter gene expression. In summary, chitosan enhances the dispersibility and in vitro pulmonary deposition performance of spray-dried powders.

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2000 Mathematics Subject Classification: 60K10, 62P05