Radical detection in harsh environments by means of laser-induced fluorescence using a single bidirectional optical fiber

A new experimental method is described enabling detection of hydroxyl radicals (OH) by laser-induced fluorescence in high-temperature gas-phase reactions. This is accomplished by means of a bidirectional optical fiber probe, which is of interest for applications where optical access is limited. An optical setup that allows simultaneous excitation and detection of fluorescence using one and the same fiber has been developed. Complications resulting from coupling as well as laser-induced scattering are addressed, and different fibers are compared with regard to core material composition and geometric collection efficiency. On this basis, a suitable fiber is identified, and OH detection and profile measurements are demonstrated in a premixed laminar flame as reference experiment.     

On the hyperbolicity of certain models of polydisperse sedimentation

The sedimentation of a polydisperse suspension of small spherical particles dispersed in a viscous fluid, where particles belong to N species differing in size, can be described by a strongly coupled system of N scalar, nonlinear first‐order conservation laws for the evolution of the volume fractions. The hyperbolicity of this system is a property of theoretical importance because it limits the range of validity of the model and is of practical interest for the implementation of numerical methods. The present work, which extends the results of R. Bürger, R. Donat, P. Mulet, and C.A. Vega (SIAM Journal on Applied Mathematics 2010; 70:2186–2213), is focused on the fluxes corresponding to the models by Batchelor and Wen, Höfler and Schwarzer, and Davis and Gecol, for which the Jacobian of the flux is a rank‐3 or rank‐4 perturbation of a diagonal matrix. Explicit estimates of the regions of hyperbolicity of these models are derived via the approach of the so‐called secular equation (J. Anderson. Linear Algebra and Applications 1996; 246:49–70), which identifies the eigenvalues of the Jacobian with the poles of a particular rational function. Hyperbolicity of the system is guaranteed if the coefficients of this function have the same sign. Sufficient conditions for this condition to be satisfied are established for each of the models considered. Some numerical examples are presented. Copyright © 2012 John Wiley & Sons, Ltd.     

Adaptive multiresolution schemes for reaction-diffusion systems

This note outlines a fully adaptive multiresolution scheme with local time stepping for the efficient numerical solution of (possibly degenerate) reaction–diffusion systems. A new numerical example showing Turing–type pattern formation is presented. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Chlorofluorieren mit Trifluormethylhypochlorit CF3OCl. Darstellung und spektroskopische Charakterisierung von Trifluormethyliodchloridfluorid CF3I(Cl)F

Chlorofluorinate with Trifluoromethylhypochlorite CF₃OCl. Preparation and Spectroscopic Characterization of Trifluormethyliodinechloridefluoride CF₃I(Cl)F The preparation of a new iodine(III) compound, trifluormethyliodinechloridefluoride CF₃I(Cl)F, via oxidative addition of trifluoromethylhypochlorite CF₃OCl to trifluoromethyliodide CF₃I is described. The thermolabile compound has been characterized by i.r., Raman, ¹⁹F NMR, and mass spectroscopy.     

Arbitrage conditions for electricity markets with production and storage

Computational Management Science - This work analyzes the notion of arbitrage for market models with electricity production from fuel. Several generators, fuel storage, and the related fuel and...     

Stochastic contagion models without immunity: their long term behaviour and the optimal level of treatment

In this paper we analyze two stochastic versions of one of the simplest classes of contagion models, namely so-called SIS models. Several formulations of such models, based on stochastic differential equations, have been recently discussed in literature, mainly with a focus on the existence and uniqueness of stationary distributions. With applicability in view, the present paper uses the Fokker–Planck equations related to SIS stochastic differential equations, not only in order to derive basic facts, but also to derive explicit expressions for stationary densities and further characteristics related to the asymptotic behaviour. Two types of models are analyzed here: The first one is a version of the SIS model with external parameter noise and saturated incidence. The second one is based on the Kramers–Moyal approximation of the simple SIS Markov chain model, which leads to a model with scaled additive noise. In both cases we analyze the asymptotic behaviour, which leads to limiting stationary distributions in the first case and limiting quasistationary distributions in the second case. Finally, we use the derived properties for analyzing the decision problem of choosing the cost-optimal level of treatment intensity.

     

Thermische Zersetzung von Pentacarbonyleisen in Zeolithen des Faujasit-Typs

Thermal Decomposition of Pentacarbonyl Iron in Faujasite-Type Zeolites The nature of the iron species resulting from the title reaction has been elucidated by thermogravimetry, X-ray diffraction, electron microscopy, Mössbauer spectrometry, and by normal analytical methods. The thermal decomposition of Fe(CO)₅ adsorbed in Y-type zeolite yields pure α-Fe. In X-type zeolite Fe(CO)₅ is converted into a highly dispersed form of iron, into iron-subcarbonyl, and into high-spin Fe^II, occupying different sites of the lattice. Dealuminized zeolites adsorb Fe(CO)₅ reversibly. The estimated size of the iron(III) oxide particles formed by air oxidation is in accordance with the assumption that Fe(CO)₅ decomposes in Y-type zeolite with iron migrating to the surface of the zeolite crystals, whereas in X-type zeolite the iron remains inside the zeolite cavities.