Time-dependent flows of rotating and stratified fluids in geometries with non-uniform cross-sections

Unsteady rotating and stratified flows in geometries with non-uniform cross-sections are investigated under Oseen approximation using Laplace transform technique. The solutions are obtained in closed form and they reveal that the flow remains oscillatory even after infinitely large time. The existence of inertial waves propagating in both positive and negative directions of the flow is observed. When the Rossby or Froude number is close to a certain infinite set of critical values the blocking and back flow occur and the flow pattern becomes more and more complicated with increasing number of stagnant zones when each critical value is crossed. The analogy that is observed in the solutions for rotating and stratified flows is also discussed.

Christian-Muslim Dialogue : Perspectives of Four Lebanese Thinkers

This study describes and analyses two Lebanese Muslims and two Lebanese Christians ideas about Christian-Muslim dialogue, its nature, aims, and methods and its different dimensions, which include doctrinal, ethical, and social dimensions. On the basis of the analysis, the four thinkers contributions for promoting constructive dialogue are evaluated. The persons studied are two religious authorities, the Shiite Great Ayatollah Muhammad Husayn Fadlallah (b. 1935) and the Eastern Orthodox Metropolitan of Mount Lebanon, Georges Khodr (b. 1923), and two academic scholars, Doctor Mahmoud Ayoub (b. 1935) and Doctor, Father Mouchir Aoun (b. 1964), from the Shiite and Greek Catholic communities, respectively. The method of the study is systematic analysis. The sources consist of the four thinkers writings on Christian-Muslim relations, the most of which have been published in Lebanon in the 1990s and 2000s in the Arabic language. In their general guidelines for Christian-Muslim dialogue, the four authors do not offer any novel or unusual insights. However, their dialogue visions are multi-faceted, motivating interreligious encounter both on religious and practical grounds and clarifying the theological grounds and socio-political conditions of this endeavour. The major challenge appears to be the tension between loyalty to one s own convictions and taking into account the particular self-understanding of the other. While this tension may be ultimately unsolvable, it is obvious that linking dialogue tightly to missionary motivations or certain theological agenda imposed on the others is not conducive for better mutual understanding. As for how diverse theologies of religions affect interreligious dialogue, narrow exclusivism hardly promotes mutual knowledge and appreciation, but also inclusive and pluralistic positions have their particular dilemmas. In the end, dialogue is possible from diverse positions on theology of religions. All the authors discuss the theological themes of divine revelation, concept of God, and human condition and ultimate destiny. The two religions particular views on these issues cannot be reconciled, but the authors offer diverse means to facilitate mutual understanding on them, such as increasing mutual knowledge, questioning certain traditional condemnations, showing theological parallels between the two religions, and transcending doctrinal disagreements by stressing common religious experience or ethical concerns. Among the theological themes, especially the concept of God seems to offer possibilities for better understanding than has traditionally been the case. Significantly, all the four authors maintain that Christians and Muslims share the faith in the one God, irrespective of their disagreements about the nature of his oneness. Basic ethical principles are not discussed as widely by the four authors as might be expected, which may reflect the shared cultural background and common ethical values of the Lebanese Muslims and Christians. On this level, Christians alienation from the Islamic law appears as the most significant challenge to mutual understanding, while neighbourly love and the golden rule of ethics offer a fruitful basis for further dialogue. As for the issue of political power-sharing in Lebanon, it is clear that the proposal of an Islamic state is problematic in a country with a sizable Christian minority and a heterogeneous Muslim population. Some form of democracy seems more viable for a multireligious country, but the question remains how to retain religion as a vital force in society, which is felt to be important by all the four Lebanese authors.

Flow field and traverse times for fan forced injection of fumigant via circular or annular inlet into stored grain

Fan forced injection of phosphine gas fumigant into stored grain is a common method to treat infestation by insects. For low injection velocities the transport of fumigant can be modelled as Darcy flow in a porous medium where the gas pressure satisfies Laplace's equation. Using this approach, a closed form series solution is derived for the pressure, velocity and streamlines in a cylindrically stored grain bed with either a circular or annular inlet, from which traverse times are numerically computed. A leading order closed form expression for the traverse time is also obtained and found to be reasonable for inlet configurations close to the central axis of the grain storage. Results are interpreted for the case of a representative 6m high farm wheat store, where the time to advect the phosphine to almost the entire grain bed is found to be approximately one hour.

Vibration-rotation pattern in acetylene. II. Introduction of Coriolis coupling in the global model and analysis of emission spectra of hot acetylene around 3 mu m

A high temperature source has been developed and coupled to a high resolution Fourier transform spectrometer to record emission spectra of acetylene around 3 mu m up to 1455 K under Doppler limited resolution (0.015 cm(-1)). The nu(3)-ground state (GS) and nu(2)+nu(4)+nu(5)(Sigma(+)(u) and Delta(u))-GS bands and 76 related hot bands, counting e and f parities separately, are assigned using semiautomatic methods based on a global model to reproduce all related vibration-rotation states. Significantly higher J-values than previously reported are observed for 40 known substates while 37 new e or f vibrational substates, up to about 6000 cm(-1), are identified and characterized by vibration-rotation parameters. The 3 811 new or improved data resulting from the analysis are merged into the database presented by Robert et al. [Mol. Phys. 106, 2581 (2008)], now including 15 562 lines accessing vibrational states up to 8600 cm(-1). A global model, updated as compared to the one in the previous paper, allows all lines in the database to be simultaneously fitted, successfully. The updates are discussed taking into account, in particular, the systematic inclusion of Coriolis interaction.

Characterization of circumstellar carbonaceous dust analogues produced by pyrolysis of acetylene in a porous graphite reactor

Carbon particles synthesized by acetylene pyrolysis in a porous graphite reactor have been investigated. The intimate chemical and physical structures of the particles were probed by proton nuclear magnetic resonance spectroscopy, infrared Fourier transform spectroscopy and X-ray diffraction. The analysis points towards a chemical structure composed of soluble low-mass aromatics surrounding small insoluble larger aromatic islands bridged by aliphatic groups. The diffraction profile indicates that the particles are mostly amorphous with small crystalline domains of not, vert, similar6.5 Å composed of a few stacked graphene layers. The properties of these particles are compared with these obtained with other types of production methods such as laser pyrolysis and combustion flames. The results are briefly discussed in the context of the evolution of infrared interstellar emitters. Possible uses of the reactor are proposed.

The ghost in the city industrial complex: Le Corbusier and the fascist theory of Urbanisme

Le Corbusier participated in an urban dialogue with the first group in France to call itself fascist: the journalist Georges Valois’s militant Faisceau des Combattants et Producteurs (1925-1927), the “Blue Shirts,” inspired by the Italian “Fasci” of Mussolini. Le Corbusier’s portrait photograph materialised on the front cover of the January 1927 issue of the Faisceau League’s newspaper Le Nouveau Siècle edited by the former anarcho-syndicalist journalist Georges Valois, its leader, who fashioned himself as the French Mussolini. Le Corbusier was described in the Revue as one of les animateurs (the “organisers”) of the Party1 – meaning a member of the technical elite who would drive the Faisceau’s plans. On 1 May 1927, the Nouveau Siècle printed a full-page feature “Le Plan Voisin” on Le Corbusier’s 1922 redesign of Paris : the architect’s single-point perspective sketch appeared below an extract lifted from the architect’s original polemic Le Centre de Paris on the pages of Le Corbusier’s second book Urbanisme published two years earlier, a treatise on urbanism.2 Three weeks later, Le Corbusier presented a slide show of his urban plans at a fascist rally for the inauguration of the Faisceau’s new headquarters on the rue du faubourg Poissonniere, thereby crystalising the architect’s hallowed status in the league...

Beyond fractional derivatives: local approximation of other convolution integrals

Dynamic systems involving convolution integrals with decaying kernels, of which fractionally damped systems form a special case, are non-local in time and hence infinite dimensional. Straightforward numerical solution of such systems up to time t needs O(t(2)) computations owing to the repeated evaluation of integrals over intervals that grow like t. Finite-dimensional and local approximations are thus desirable. We present here an approximation method which first rewrites the evolution equation as a coupled in finite-dimensional system with no convolution, and then uses Galerkin approximation with finite elements to obtain linear, finite-dimensional, constant coefficient approximations for the convolution. This paper is a broad generalization, based on a new insight, of our prior work with fractional order derivatives (Singh & Chatterjee 2006 Nonlinear Dyn. 45, 183-206). In particular, the decaying kernels we can address are now generalized to the Laplace transforms of known functions; of these, the power law kernel of fractional order differentiation is a special case. The approximation can be refined easily. The local nature of the approximation allows numerical solution up to time t with O(t) computations. Examples with several different kernels show excellent performance. A key feature of our approach is that the dynamic system in which the convolution integral appears is itself approximated using another system, as distinct from numerically approximating just the solution for the given initial values; this allows non-standard uses of the approximation, e. g. in stability analyses.

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.

Sound Velocity Anomaly at the Mott Transition: Application to Organic Conductors and V2O3

Close to the Mott transition, lattice degrees of freedom react to the softening of electron degrees of freedom. This results in a change of lattice spacing, a diverging compressibility, and a critical anomaly of the sound velocity. These effects are investigated within a simple model, in the framework of dynamical mean-field theory. The results compare favorably to recent experiments on the layered organic-conductor kappa-(BEDT-TTF)(2)Cu[N(CN)(2)]Cl. We predict that effects of a similar magnitude are expected for V2O3, despite the much larger value of the elastic modulus of this material.

Expected Performance of the ATLAS Experiment - Detector, Trigger and Physics

A detailed study is presented of the expected performance of the ATLAS detector. The reconstruction of tracks, leptons, photons, missing energy and jets is investigated, together with the performance of b-tagging and the trigger. The physics potential for a variety of interesting physics processes, within the Standard Model and beyond, is examined. The study comprises a series of notes based on simulations of the detector and physics processes, with particular emphasis given to the data expected from the first years of operation of the LHC at CERN.

Effect of impulsive change of wall velocity and wall temperature in viscous heat-conducting gas

A study of compression waves produced in a viscous heat-conducting gas by the impulsive start of a one-dimensional piston and by the inpulsive change of piston wall temperature is made using Laplace Transform Technique for Prandt1 number unity. Expressions for velocity, temperature and density have also been obtained using small-time expansion procedure in this case. For arbitrary Prandt1 number solutions have been developed using large-time expansion procedure. A number of graphs exhibiting the distribution of the fluid velocity, temperature and density have been drawn.

Application of D transforms in the analysis of nonlinear distributed parameter systems

The scope of application of Laplace transforms presently limited to the study of linear partial differential equations, is extended to the nonlinear domain by this study. This has been achieved by modifying the definition of D transforms, put forth recently for the study of classes of nonlinear lumped parameter systems. The appropriate properties of the new D transforms are presented to bring out their applicability in the analysis of nonlinear distributed parameter systems.

Lokia etsimässä : Viisi teoriaa muinaisskandinaavisen Lokin hahmosta

Loki on muinaisskandinaavisen mytologian monimutkaisimpia hahmoja. Keskiaikaiset lähteet Lokista ovat runo- ja Snorrin Edda sekä skaldirunot. Moderneja kansansanontoja on myös käytetty tutkimuksessa Lokin hahmosta, mutta osa tutkijoista vastustaa niiden käyttöä ajallisen ja usein maantieteellisen eroavaisuuden takia verrattuna keskiaikaiseen Lokiin. Analysoimalla Axel Olrikin, Hilding Celanderin, Jan de Vriesin, Georges Dumézilin sekä Anna Birgitta Roothin teorioita Lokista selvitän, minkälaiset teoreettiset lähtökohdat Lokin hahmon tutkimuksesta ovat vallinneet 1900-luvulla ja miten he ovat käyttäneet keskiaikaisia ja moderneja lähteitä. Lisäksi tarkastelen sitä, miten näiden tutkijoiden teoriat ovat vaikuttaneet uudempaan tutkimukseen Lokista. Metodinani käytän systemaattista analyysia. Olrik lähestyi Lokin hahmoa maantieteellis-historiallisen metodin kautta jaotellen myytit Lokista joko Odinn-Loki- tai Thorr-Loki-ryhmään. Hänen johtopäätöstensä perusteella Loki on lähtökohtaisesti Prometheus-tyypin hahmo, joka on ensin yhdistetty Thorriin ja myöhemmin Odinniin. Celanderin mukaan Loki on alun perin haltija, ja hän lähestyy aineistoaan Lokin nimestä tehtyjen etymologisten johtopäätösten kautta yhdistäen teoriaansa moderneja luonnonilmiöihin liittyviä sanontoja. de Vries käyttää metodinaan filologista menetelmää ja hän näkee Lokissa kulttuuriheeroksen ja tricksterin. Dumézilin näkemyksen pohjana on hänen teoriansa kolmiosaisesta indoeurooppalaisesta yhteisöstä. Dumézil vertaa Lokia kaukasuslaiseen Syrdon-hahmoon löytäen näiden väliltä useita yhtäläisyyksiä. Rooth pyrkii löytämään mahdollisimman alkuperäisen Lokin hahmon karsimalla myyteistä muualta tulleet vaikutteet. Hänen mukaansa Loki on ollut alun perin hämähäkin hahmoinen trickster, josta olisi jäänyt merkkejä kansanperinteeseen. Johtopäätöksenäni totean, että Lokin tutkimukseen ovat vaikuttaneet ainakin diffusionistinen metodi, filologinen ja strukturalistinen lähestymistapa sekä varhaisemmat 1800-luvun teoriat kuten Frazerin ja Müllerin uskontoteoriat. Keskiaikaisista lähteistä Snorrin Eddan luotettavuudesta on syntynyt eniten keskustelua, etenkin Baldr-myytin tulkinnan kannalta. Sen sijaan skaldirunojen ja runo-Eddan luotettavuutta ei ole kyseenalaistettu yhtä useasti. Modernien lähteiden luotettavuudesta tutkijat eivät ole päässeet yksimielisyyteen. Myöhempään tutkimukseen on vaikuttanut erityisesti käsitys Lokista tricksterinä. Celanderin ja Roothin etymologinen lähestymistapa on osaltaan vaikuttanut uudempaan tutkimukseen ja tulkintaan Lokista abstraktina hahmona, kuten myös de Vriesin kriittisyys moderneja lähteitä kohtaan. Dumézilin teorian vaikea soveltuvuus trickster-hahmojen tulkitaan on vähentänyt viittauksia häneen myöhemmässä Loki-tutkimuksessa eikä Olrikin maantieteellistä jaottelua näe enää uudemmassa tutkimuskirjallisuudessa. Jotkin teemat ovat jääneet vähemmälle huomiolle tutkimuksessa, kuten kenningien eli runollisten metaforien vähäinen liittyminen Lokiin sekä Lokin suhde jättiläisiin. Jatkotutkimuksen kannalta näiden teemojen syventäminen Lokin hahmon ymmärtämisessä olisi aiheellista. Lisäksi tutkimushistorian tuntemusta Lokin tutkimuksessa olisi mahdollista syventää vielä entisestään selvittämällä esimerkiksi kansallissosialistisen ilmapiirin vaikutusta mytologian tutkimuksessa.

Paradigms in Statistical Inference for Finite Populations; Up to the 1950s

Modern sample surveys started to spread after statistician at the U.S. Bureau of the Census in the 1940s had developed a sampling design for the Current Population Survey (CPS). A significant factor was also that digital computers became available for statisticians. In the beginning of 1950s, the theory was documented in textbooks on survey sampling. This thesis is about the development of the statistical inference for sample surveys. For the first time the idea of statistical inference was enunciated by a French scientist, P. S. Laplace. In 1781, he published a plan for a partial investigation in which he determined the sample size needed to reach the desired accuracy in estimation. The plan was based on Laplace s Principle of Inverse Probability and on his derivation of the Central Limit Theorem. They were published in a memoir in 1774 which is one of the origins of statistical inference. Laplace s inference model was based on Bernoulli trials and binominal probabilities. He assumed that populations were changing constantly. It was depicted by assuming a priori distributions for parameters. Laplace s inference model dominated statistical thinking for a century. Sample selection in Laplace s investigations was purposive. In 1894 in the International Statistical Institute meeting, Norwegian Anders Kiaer presented the idea of the Representative Method to draw samples. Its idea was that the sample would be a miniature of the population. It is still prevailing. The virtues of random sampling were known but practical problems of sample selection and data collection hindered its use. Arhtur Bowley realized the potentials of Kiaer s method and in the beginning of the 20th century carried out several surveys in the UK. He also developed the theory of statistical inference for finite populations. It was based on Laplace s inference model. R. A. Fisher contributions in the 1920 s constitute a watershed in the statistical science He revolutionized the theory of statistics. In addition, he introduced a new statistical inference model which is still the prevailing paradigm. The essential idea is to draw repeatedly samples from the same population and the assumption that population parameters are constants. Fisher s theory did not include a priori probabilities. Jerzy Neyman adopted Fisher s inference model and applied it to finite populations with the difference that Neyman s inference model does not include any assumptions of the distributions of the study variables. Applying Fisher s fiducial argument he developed the theory for confidence intervals. Neyman s last contribution to survey sampling presented a theory for double sampling. This gave the central idea for statisticians at the U.S. Census Bureau to develop the complex survey design for the CPS. Important criterion was to have a method in which the costs of data collection were acceptable, and which provided approximately equal interviewer workloads, besides sufficient accuracy in estimation.

Solution of a Boundary-Value Problem associated with Diffraction of Water Waves by a Nearly Vertical Barrier

An exact solution is derived for a boundary-value problem for Laplace's equation which is a generalization of the one occurring in the course of solution of the problem of diffraction of surface water waves by a nearly vertical submerged barrier. The method of solution involves the use of complex function theory, the Schwarz reflection principle, and reduction to a system of two uncoupled Riemann-Hilbert problems. Known results, representing the reflection and transmission coefficients of the water wave problem involving a nearly vertical barrier, are derived in terms of the shape function.