Simple thermodynamics of jet engines

We use the first and second laws of thermodynamics to analyze the behavior of an ideal jet engine. Simple analytical expressions for the thermal efficiency, the overall efficiency, and the reduced thrust are derived. We show that the thermal efficiency depends only on the compression ratio r and on the velocity of the aircraft. The other two performance measures depend also on the ratio of the temperature at the turbine to the inlet temperature in the engine, T-3/T-i. An analysis of these expressions shows that it is not possible to choose an optimal set of values of r and T-3/T-i that maximize both the overall efficiency and thrust. We study how irreversibilities in the compressor and the turbine decrease the overall efficiency of jet engines and show that this effect is more pronounced for smaller T-3/T-i.

A dramatic effect of double bond configuration in N-oxy-3-aza Cope rearrangements: a simple synthesis of functionalised allenes

The first examples of low temperature N-oxy-3-aza Cope rearrangements, leading to functionalised allenes are described, where the Z-configuration of the enaminic double bond in the rearranging system proves critical.

Pour une approche contrastive du présent simple en français et en portugais

Les temps du passé ont toujours constitué une pierre d’achoppement aussi bien dans l’enseignement du français aux étudiants lusophones que dans celui du portugais aux francophones. Le flot continu d’articles sur ce sujet attesterait, à lui seul, la difficulté du problème. Mais aussi étonnant que cela puisse paraître, il n’existe à ce jour aucune étude systématique qui aborde sur une base théorique le présent simple dans le passage du français vers le portugais et/ou vice-versa. Or, une telle étude nous paraît une voie de recherche intéressante et fructueuse qui ouvre de nombreuses perspectives de recherche, dont les possibilités d’application, que ce soit au domaine de l’enseignement des langues étrangères ou celui de la traduction, ne sont pas négligeables. Cette réflexion est d’autant plus urgente que l’emploi du présent simple pose de sérieux problèmes aux élèves lusophones plus inexpérimentés. En effet, ces derniers ont parfois beaucoup de peine à trouver les bonnes correspondances du présent simple en portugais. Afin d’aboutir à des conclusions fiables sur les similarités et les divergences entre le français et le portugais quant aux conditions d’apparition et au mode de fonctionnement du présent simple, nous nous attacherons, dans l’étude contrastive qui suit, à examiner des échantillons de textes littéraires français traduits en portugais et des extraits de textes littéraires portugais traduits en français1. Il s’agira essentiellement de montrer, en recourant à la Théorie des Opérations Énonciatives d’Antoine Culioli (Culioli, 1990; Campos & Xavier, 1991; Campos, 1997, 1998, entre autres), par quels moyens linguistiques le portugais exprime les valeurs aspectuo-temporelles associées au présent simple en français.

How short and light can a simple pendulum be for classroom use?

We compare the period of oscillation of an ideal simple pendulum with the period of a more 'real' pendulum constituted of a rigid sphere and a rigid slender rod. We determine the relative error in the calculation of the local acceleration of gravity if the period of the ideal pendulum is use?d instead of the period of this real pendulum. © 2014 IOP Publishing Ltd..

Analysis of sandwich beam structures using kriging based higher order models

Functionally graded composite materials can provide continuously varying properties, which distribution can vary according to a specific location within the composite. More frequently, functionally graded materials consider a through thickness variation law, which can be more or less smoother, possessing however an important characteristic which is the continuous properties variation profiles, which eliminate the abrupt stresses discontinuities found on laminated composites. This study aims to analyze the transient dynamic behavior of sandwich structures, having a metallic core and functionally graded outer layers. To this purpose, the properties of the particulate composite metal-ceramic outer layers, are estimated using Mod-Tanaka scheme and the dynamic analyses considers first order and higher order shear deformation theories implemented though kriging finite element method. The transient dynamic response of these structures is carried out through Bossak-Newmark method. The illustrative cases presented in this work, consider the influence of the shape functions interpolation domain, the properties through-thickness distribution, the influence of considering different materials, aspect ratios and boundary conditions. (C) 2014 Elsevier Ltd. All rights reserved.

Dynamic behaviour of soft core sandwich beam structures using kriging-based layerwise models

Sandwich structures with soft cores are widely used in applications where a high bending stiffness is required without compromising the global weight of the structure, as well as in situations where good thermal and damping properties are important parameters to observe. As equivalent single layer approaches are not the more adequate to describe realistically the kinematics and the stresses distributions as well as the dynamic behaviour of this type of sandwiches, where shear deformations and the extensibility of the core can be very significant, layerwise models may provide better solutions. Additionally and in connection with this multilayer approach, the selection of different shear deformation theories according to the nature of the material that constitutes the core and the outer skins can predict more accurately the sandwich behaviour. In the present work the authors consider the use of different shear deformation theories to formulate different layerwise models, implemented through kriging-based finite elements. The viscoelastic material behaviour, associated to the sandwich core, is modelled using the complex approach and the dynamic problem is solved in the frequency domain. The outer elastic layers considered in this work may also be made from different nanocomposites. The performance of the models developed is illustrated through a set of test cases. (C) 2015 Elsevier Ltd. All rights reserved.