Please use this identifier to cite or link to this item:

TitleModelling and analysis of time dependent processes in a chemically reactive mixture
Author(s)Ramos, M. P. Machado
Ribeiro, Carolina
Soares, A. J.
KeywordsChemically reactive flows
Sound propagation
Flow instabilities
Issue dateJan-2018
PublisherSpringer Verlag
JournalContinuum Mechanics and Thermodynamics
CitationRamos, M.P., Ribeiro, C. & Soares, A.J. Modeling and analysis of time-dependent processes in a chemically reactive mixture. Continuum Mech. Thermodyn. 30, 127–144 (2018).
Abstract(s)In this paper, we study the propagation of sound waves and the dynamics of local wave disturbances induced by spontaneous internal fluctuations in a reactive mixture. We consider a non-diffusive, non-heat conducting and non-viscous mixture described by an Eulerian set of evolution equations. The model is derived from the kinetic theory in a hydrodynamic regime of a fast chemical reaction. The reactive source terms are explicitly computed from the kinetic theory and are built in themodel in a proper way. For both time-dependent problems, we first derive the appropriate dispersion relation, which retains the main effects of the chemical process, and then investigate the influence of the chemical reaction on the properties of interest in the problems studied here. We complete our study by developing a rather detailed analysis using the Hydrogen–Chlorine system as reference. Several numerical computations are included illustrating the behavior of the phase velocity and attenuation coefficient in a low-frequency regime and describing the spectrum of the eigenmodes in the small wavenumber limit.
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

Files in This Item:
File Description SizeFormat 
MPR_CR_AJS_Jul28_2017.pdf1 MBAdobe PDFView/Open

Partilhe no FacebookPartilhe no TwitterPartilhe no DeliciousPartilhe no LinkedInPartilhe no DiggAdicionar ao Google BookmarksPartilhe no MySpacePartilhe no Orkut
Exporte no formato BibTex mendeley Exporte no formato Endnote Adicione ao seu ORCID