A semi-analytical solution for multilayer diffusion in a composite medium consisting of a large number of layers

Diffusion in a composite slab consisting of a large number of layers provides an ideal prototype problem for developing and analysing two-scale modelling approaches for heterogeneous media. Numerous analytical techniques have been proposed for solving the transient diffusion equation in a one-dimensional composite slab consisting of an arbitrary number of layers. Most of these approaches, however, require the solution of a complex transcendental equation arising from a matrix determinant for the eigenvalues that is difficult to solve numerically for a large number of layers. To overcome this issue, in this paper, we present a semi-analytical method based on the Laplace transform and an orthogonal eigenfunction expansion. The proposed approach uses eigenvalues local to each layer that can be obtained either explicitly, or by solving simple transcendental equations. The semi-analytical solution is applicable to both perfect and imperfect contact at the interfaces between adjacent layers and either Dirichlet, Neumann or Robin boundary conditions at the ends of the slab. The solution approach is verified for several test cases and is shown to work well for a large number of layers. The work is concluded with an application to macroscopic modelling where the solution of a fine-scale multilayered medium consisting of two hundred layers is compared against an “up-scaled” variant of the same problem involving only ten layers.

The Culture of Women's Housework : A Case Study of Bihar, India

This study examines gendered housework in India, particularly in Bihar. The perspective adopted in the study was in part derived from the data but also from sociological literature published both in Western countries and in India. The primary attention is therefore paid to modern and traditional aspects in housework. The aim is not to compare Indian practices to those of Western societies, but rather to use Western studies as a fruitful reference point. In that light, Indian housework practices appear to be traditional. Consequently, traditions are given a more significant role than is usually the case in studies on gendered housework, particularly in Western countries. The study approaches the topic mainly from the socio-cultural perspective; this provides the best means to understand the persistence of traditional habits in India. To get a wide enough picture of the division of labour, three methods were applied in the study: detailed time-use data, questionnaire and theme interviews. The data were collected in 1988 in two districts of Bihar, one rural and the other urban. The different data complement each other well but also bring to light contradictory findings: on a general level Biharian people express surprisingly modern views on gender equality but when talking in more detail (theme interviews) the interviewees told about how traditional housework practices still were in 1988. In the analysis of the data set four principal themes are discussed. Responsibility is the concept by which the study aims at understanding the logic of the argumentation on which the persistence of traditional housework practices is grounded. Contrary to the Western style, Biharian respondents appealed not to the principle of choice but to their responsibility to do what has to be done. The power of tradition, the early socialization of children to the traditional division of labour and the elusive nature of modernity are all discussed separately. In addition to the principle of responsibility, housework was also seen as an expression of affection. This was connected to housework in general but also to traditional practices. The purity principle was the third element that made Biharian interviewees favour housework in general, but as in the case of affection it too was interwoven with traditional practices. It seems to be so that if housework is in general preferred, this leads to preferring the traditional division of labour, too. The same came out when examining economic imperatives. However, the arguments concerning them proved to be rational. In analysing them it became clear that the significance of traditions is also much dependent on the economics: as far as the average income in India is very low, the prevalence of traditional practices in housework will continue. However, to make this work, cultural arguments are required: their role is to mediate more smoothly the iron rules of the economy. Key words: family, gendered housework, division of labour, responsibility, family togetherness, emotion, economy of housework, modernity, traditionality

Diffusion of Be, Co and Mn impurities in compound semiconductors and glassy carbon studied by the modified radiotracer technique

The main method of modifying properties of semiconductors is to introduce small amount of impurities inside the material. This is used to control magnetic and optical properties of materials and to realize p- and n-type semiconductors out of intrinsic material in order to manufacture fundamental components such as diodes. As diffusion can be described as random mixing of material due to thermal movement of atoms, it is essential to know the diffusion behavior of the impurities in order to manufacture working components. In modified radiotracer technique diffusion is studied using radioactive isotopes of elements as tracers. The technique is called modified as atoms are deployed inside the material by ion beam implantation. With ion implantation, a distinct distribution of impurities can be deployed inside the sample surface with good con- trol over the amount of implanted atoms. As electromagnetic radiation and other nuclear decay products emitted by radioactive materials can be easily detected, only very low amount of impurities can be used. This makes it possible to study diffusion in pure materials without essentially modifying the initial properties by doping. In this thesis a modified radiotracer technique is used to study the diffusion of beryllium in GaN, ZnO, SiGe and glassy carbon. GaN, ZnO and SiGe are of great interest to the semiconductor industry and beryllium as a small and possibly rapid dopant hasn t been studied previously using the technique. Glassy carbon has been added to demonstrate the feasibility of the technique. In addition, the diffusion of magnetic impurities, Mn and Co, has been studied in GaAs and ZnO (respectively) with spintronic applications in mind.

Theory of laminar flame propagation with non-normal diffusion.

A study has been made of the problem of steady, one-dimensional, laminar flame propagation in premixed gases, with the Lewis number differing from (and equal to) unity. Analytical solutions, using the method of matched asymptotic expansions, have been obtained for large activation energies. Numerical solutions have been obtained for a wide range of the reduced activation temperature parameter (n {geometrically equal to} E/RTb), and the Lewis number δ. The studies reveal that the flame speed eigenvalue is linear in Lewis number for first order and quadratic in Lewis number for second order reactions. For a quick determination of flame speeds, with reasonable accuracy, a simple rule, expressing the flame speed eigenvalue as a function of the Lewis number and the centroid of the reaction rate function, is proposed. Comparisons have been made with some of the earlier works, for both first and second order reactions.

Stress concentration and load diffusion in rectangular panels with constant stress flanges

The stress concentration that occurs when load is diffused from a constant stress member into thin sheet is an important problem in the design of light weight structures. By using solutions in biharmonic polar-trigonometric series, the stress concentration can be effectively isolated so that highly accurate information necessary for design can be obtained. A method of analysis yielding high accuracy with limited effort is presented for rectangular panels with transverse edges free or supported by inextensional end ribs. Numerical data are given for panels with length twice the width.

Alppihiihdon alkutaival : Pujottelu- ja tunturihiihto Suomessa 1920-luvulta 1960-luvulle

The object of study in this thesis is Finnish skiing culture and Alpine skiing in particular from the point of view of ethnology. The objective is to clarify how, when, why and by what routes Alpine skiing found its way to Finland. What other phenomena did it bring forth? The objective is essentially linked to the diffusion of modern sports culture to Finland. The introduction of Alpine skiing to Finland took place at a time when skiing culture was changing: flat terrain skiing was abandoned in favour of cross-country skiing in the early decades of the 20th century, and new techniques and equipment made skiing a much more versatile sport. The time span of the study starts from the late 19th century and ends in the mid-20th century. The spatial focus is in Finland. People and communities formed through their actions are core elements in the study of sports and physical activity. Organizations tend to raise themselves into influential actors in the field of physical culture even if active individuals work in their background. Original archive documents and publications of sports organizations are central source material for this thesis, complemented by newspapers and sports magazines as well as photographs and films on early Alpine skiing in Finland. Ever since their beginning in the late 19th century skiing races in Finland had mostly taken place on flat terrain or sea ice. Skiing in broken cross-country terrain made its breakthrough in the 1920 s, at a time when modern skiing techniques were introduced in instruction manuals. In the late 1920 s the Finnish Women s Physical Education Association (SNLL) developed unconventional forms of pedagogical skiing instruction. They abandoned traditional Finnish flat terrain skiing and boldly looked for influences abroad, which caused friction between the leaders of the women s sports movement and the (male) leaders of the central skiing organization. SNLL was instrumental in launching winter tourism in Finnish Lapland in 1933. The Finnish Tourism Society, the State Railways and sports organizations worked in close co-operation to instigate a boom in tourism, which culminated in the inauguration of a tourist hotel at Pallastunturi hill in the winter of 1938. Following a Swedish model, fell-skiing was developed as a domestic counterpart to Alpine skiing as practiced in Central Europe. The first Finnish skiing resorts were built at sites of major cross-country skiing races. Inspired by the slope at Bad Grankulla health spa, the first slalom skiing races and fell-skiing, slalom enthusiasts began to look for purpose-built sites to practice turn technique. At first they would train in natural slopes but in the late 1930 s new slopes were cleared for slalom races and recreational skiing. The building of slopes and ski lifts and the emergence of organized slalom racing competitions gradually separated Alpine skiing from the old fell-skiing. After the Second World War fell-skiing was transformed into ski trekking on marked courses. At the same time Alpine skiing also parted ways with cross-country skiing to become a sport of its own. In the 1940 s and 1950 s Finnish Alpine skiing was almost exclusively a competitive sport. The specificity of Alpine skiing was enhanced by rapid development of equipment: the new skis, bindings and shoes could only be used going downhill.

A generalized equation for diffusion in liquids

The association parameter in the diffuswn equaiior, dye fo Wiike one Chong has been interpreted in deferminable properties, thus permitting easily the calculation of the same for unknown systems. The proposed eqyotion a!se holds goods for water as soiute in organic solvenfs. The over-all percentage error remains the sarrse as that of the original equation.

Some experimental observations on the use of activated sludge as fertilizer for fish culture

Experiments were conducted in cement cisterns to find out the effect of adding different dosages of activated sludge on fish growth and plankton production. Three dosages of sludge,viz., 62·5 gm., 125 gm. and 250 gm. per 240 litres of water were used. Fingerlings ofCyprinus carpio, Cirrhina mrigala andCatla catla responded positively,C. mrigala showing maximum growth. The results indicate that the sludge has a direct influence on increasing growth of fish and production of plankton due to the release of nutrients into the water. The increase in plankton content stops after about 30 days. When greater quantities of sludge were added in the cisterns, fish mortality took place.

The ratio of diffusion coefficient to mobility for slow electrons in dry air

Using Huxley's solution of the diffusion equation for electron-attaching gases, the ratio of diffusion coefficient D to mobility μ for electrons in dry air was measured over the range 3·06 × 10-17 diffusion equation for non-attaching gases.

Reversible polyelectrolyte capsules as carriers for protein delivery

A reversible drug delivery system based on spontaneous deposition of a model protein into preformed microcapsules has been demonstrated for protein delivery applications. Layer-by-Layer assembly of poly(allylamine hydrochloride) (PAH) and poly(methacrylic acid) (PMA) onto polystyrene sulfonate (PSS) doped CaCO3 particles, followed by core removal yielded intact hollow microcapsules having a unique property to induce spontaneous deposition of bovine serum albumin (BSA) at pH below its isoelectric point of 4.8, where it was positively charged. These capsules showed reversible pH dependent open and closed states to fluorescence labeled dextran (FITC-Dextran) and BSA (FITC-BSA). The loading capacity of BSA increased from 9.1 x 10(7) to 2.03 x 10(8) molecules per capsule with decrease in pH from 4.5 to 3.The loading of BSA-FITC was observed by confocal laser scanning microscopy (CLSM), which showed homogeneous distribution of protein inside the capsule. Efficient loading of BSA was further confirmed by atomic force microscopy (AFM) and scanning electron microscopy (SEM).The interior capsule concentration was as high as 209 times the feeding concentration when the feeding concentration was increased from 1 to 10 mg/ml. The deposition was initially controlled by spontaneous loading mechanism at lower BSA concentration followed by diffusion controlled loading at higher concentration; which decreased the loading efficiency from 35% to 7%. Circular dichroism (CD) measurements and Fourier transform infrared spectroscopy (FTIR) confirmed that there was no significant change in conformation of released BSA in comparison with native BSA. The release was initially burst in the first 0.5 h and sustained up to 5 h. The hollow capsules were found to be biocompatible with mouse embryonic fibroblast (MEF) cells during in vitro cell culture studies. Thus these pH sensitive polyelectrolyte microcapsules may offer a promising delivery system for water soluble proteins and peptides. (C) 2010 Elsevier B.V. All rights reserved.

Single-File Diffusion of Confined Water Inside SWNTs: An NMR Study

We report a nuclear magnetic resonance (NMR) study of confined water inside similar to 1.4 nm diameter single-walled carbon nanotubes (SWNTs). We show that the confined water does not freeze even up to 223 K. A pulse field gradient (PFG) NMR method is used to determine the mean squared displacement (MSD) of the water molecules inside the nanotubes at temperatures below 273 K, where the bulk water outside the nanotubes freezes and hence does not contribute to the proton NMR signal. We show that the mean squared displacement varies as the square root of time, predicted for single-file diffusion in a one-dimensional channel. We propose a qualitative understanding of our results based on available molecular dynamics simulations.

Single-File Diffusion of Water Inside Narrow Carbon Nanorings

We use atomistic molecular dynamics (MD) simulations to study the diffusion of water molecules confined inside narrow (6,6) carbon nanorings. The water molecules form two oppositely polarized chains. It is shown that the effective interaction between these two chains is repulsive in nature. The computed mean-squared displacement (MSD) clearly shows a scaling with time similar to t(1/2), which is consistent with single-file diffusion (SFD). The time up to which the water molecules undergo SFD is shown to be the lifetime of the water molecules inside these chains. Simulations of "uncharged" water molecules inside the nanoring show the formation of several water chains and yield SFD. These observations conclusively prove that the diffusion is Fickian when there is a single chain of water and SFD is observed only when two or more chains are present.