Encontrados 18 documentos, a visualizar página 1 de 2
On the dynamics and linear stability of one-dimensional steady detonation waves
Carvalho, Filipe; Soares, A. J.A detailed analysis of the dynamics and linear stability of a steady one-dimensional detonation wave propagating in a binary reactive system with an Arrhenius chemical kinetics of type A + A = B + B is carried out. Starting from the frame of the kinetic theory, the binary reactive mixture is modelled at the mesoscopic scale by the reactive Boltzmann equation (BE), assuming hard sphere cross sections for elastic...
Influence of reaction heat on time dependent processes in a chemically reacting...
Marques Júnior, Wilson; Kremer, Gilberto M.; Soares, A. J.In this paper we study time dependent problems, like the propagation of sound waves or the behavior of small local wave disturbances induced by spontaneous internal fluctuations, in a binary mixture undergoing a chemical reaction of type A+A= B+B. The study is developed at the hydrodynamic Euler level, in a chemical regime of fast reactive process in which the chemical reaction is close to its final equilibrium...
Kinetic approach to reactive mixtures : theory, modelling and applications
Soares, A. J.This paper reviews some previous studies published in other papers. ; Some recent studies arising in the kinetic theory of chemically reactive mixtures will be revisited here, with the aim of describing some methods and tools of the kinetic theory used to model reactive mixtures and investigate some mathematical and physical problems.
Detonation wave problems : modeling, numerical simulations and linear stability
Carvalho, Filipe; Soares, A. J.A publicar em "Hyperbolic problems : theory, numerics, applications. Springfield : AIMS, 2014. ISBN 978-1-60133-017-8, p. 407-414. Serie: Applied mathematics, vol. 8" ; Traveling waves arising in detonation physics are described by the reactive Euler equations obtained in the fluid dynamical limit of the Boltzmann equation for a binary reactive mixture. The hydrodynamic linear stability of the detonation wave ...
A kinetic model for chemical reactions without barriers : transport coefficient...
Alves, Giselle M.; Marques Júnior, Wilson; Soares, A. J.; Kremer, Gilberto M.The kinetic model of the Boltzmann equation proposed in the work of Kremer and Soares 2009 for a binary mixture undergoing chemical reactions of symmetric type which occur without activation energy is revisited here, with the aim of investigating in detail the transport properties of the reactive mixture and the influence of the reaction process on the transport coefficients. Accordingly, the non-equilibrium so...
An application of the SIR model to the evolution of epidemics in Portugal
Correia, António M.; Mena, Filipe C.; Soares, A. J.We apply the SIR model to study the evolution of Measles and Hepatitis C in Portugal using data from 1996 until 2007. Our results are potentially interesting to forecast the evolution of those viruses in subsequent years.
Kinetic theory of simple reacting spheres I
Polewczak, Jacek; Soares, A. J.We consider physical and mathematical aspects of the model of simple reacting spheres (SRS) in the kinetic theory of chemically reacting fluids. The SRS, being a natural extension of the hard--sphere collisional model, reduces itself to the revised Enskog theory when the chemical reactions are turned off. In the dilute--gas limit, it provides an interesting kinetic model of chemical reactions that h...
Influence of the reaction heat on the linear stability spectra of steady detona...
Carvalho, Filipe; Soares, A. J.The structure and linear stability of the one-dimensional steady overdriven detonation wave supported by a chemical reaction of type $A+A \rightleftharpoons B + B$ are examined in the frame of the Boltzmann equation extended to chemically reacting gases. The structure of the steady wave solution is determined solving the system of the Rankine-Hugoniot conditions supplemented with the rate law, in a chemical ...
Transport properties of a kinetic model for chemical reactions without barriers
Alves, Giselle M.; Kremer, Gilberto M.; Soares, A. J.A kinetic model of the Boltzmann equation for chemical reactions without energy barrier is considered here with the aim of evaluating the reaction rate and characterizing the transport coefficient of shear viscosity for the reactive system. The Chapman-Enskog solution of the Boltzmann equation is used to compute the chemical reaction effects, in a flow regime for which the reaction process is close to the final...
Spectral distribution of scattered light from a chemical relaxation system
Marques Júnior, Wilson; Kremer, Gilberto M.; Bianchi, M. Pandolfi; Soares, A. J.The aim of this work is to describe the light scattering spectra of a quaternary reacting gas mixture from the macroscopic field equations derived from the kinetic BGK-type model proposed by the authors in a previous paper. The study is developed in a hydrodynamic regime for which the system of the field equations of constituent number densities, momentum and temperature of the mixture is closed by the constitu...
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