de Bortoli / Andreis / Pereira Modeling and Simulation of Reactive Flows

1. Auflage 2015
ISBN: 978-0-12-802991-6
Verlag: Elsevier Science & Techn.
Format: EPUB
Kopierschutz: 6 - ePub Watermark

E-Book, Englisch, 212 Seiten

Modelling and Simulation of Reactive Flows presents information on modeling and how to numerically solve reactive flows. The book offers a distinctive approach that combines diffusion flames and geochemical flow problems, providing users with a comprehensive resource that bridges the gap for scientists, engineers, and the industry. Specifically, the book looks at the basic concepts related to reaction rates, chemical kinetics, and the development of reduced kinetic mechanisms. It considers the most common methods used in practical situations, along with equations for reactive flows, and various techniques-including flamelet, ILDM, and Redim-for jet flames and plumes, with solutions for both. In addition, the book includes techniques to accelerate the convergence of numerical simulation, and a discussion on the analysis of uncertainties with numerical results, making this a useful reference for anyone who is interested in both combustion in free flow and in porous media. - Helps readers learn how to apply applications of numerical methods to simulate geochemical kinetics - Presents methods on how to transform the transport equations in several coordinate systems - Includes discussions of the basic concepts related to reaction rates, chemical kinetics, and the development of reduced kinetic mechanisms, including the most common methods used in practical situations - Offers a distinctive approach that combines diffusion flames and geochemical flow problems

Prof. De Bortoli acquired good numerical experience at the DLR, Deutsches Zentrum f?r Luft- und Raumfahrt, Braunschweig, Germany, during part of his doctorate, and gained experience in combustion during his postdoctoral work performed at ITV, Institut f?r Technische Verbrennung, RWTH, Aachen, Germany. Professor De Bortoli has experience in solving geochemical fluxes acquired during his development of the Petrobras (Oil Company of Brazil). In addition, he oversaw about 30 Dissertations, 10 Ph.Ds and 3 post-doctoral works att Graduate Programs in both Applied Mathematics and Chemical Engineering.

Autoren/Hrsg.

de Bortoli, A. L.

Andreis, Greice

Pereira, Felipe

Leseproben

List of Symbols
ai Activity of a species A Area Bj Sensitivity matrix cD Constant of Prandtl model cP Specific heat at constant pressure Cs Smagorinsky constant C Concentration, Chapman-Rubesin parameter d, D Material derivative Di Mass diffusivity, thermal diffusivity dx Infinitesimal element in x-direction dy Infinitesimal element in y-direction dz Infinitesimal element in z-direction dV Control volume e Specific energy e- Electron eint Internal energy E Energy, error Ea Activation energy Eh Electric potential Eo(V ) Reduction potential fi Surface force f, F Functions F Faraday’s constant ? Vector force ?,gi Gravitational acceleration G Gibbs free energy, flame front position h Specific enthalpy, time-step H Enthalpy I Ionic strength, identity matrix IAB Index of importance ji Diffusive flux ?i Mass flow n Number of moles, number of species, exponent of temperature ? Normal vector N Number of nodes, number of time-steps O() Order of () p Pressure pe Electrochemical potential pH Potential of hydrogen P Product, probability ?j Heat flow by conduction ?v Volumetric source of heat (internal, chemical) qr Heat transfer due to radiation Q Heat of combustion Qe Activity product ? Potential energy r Radius R Gas constant ? Residuum vector ? Surface vector ?i Source term sL Laminar flame velocity sT Turbulent flame velocity S Entropy, area, stiffness measure t Time T Temperature, period of time Uc Axial velocity j,v? Velocity vector (vx , vy , vz ) Velocity vector V Volume xj , (x, y, z) Cartesian coordinate system Xi Molar fraction of a species y0 Distance from the wall Yi Mass fraction w Vorticity, velocity component in z-direction ? Reaction rate ? Vector of flow variables ? Rate of work crossing the boundaries Wi Molecular weight zi Ionic charge of a species Z Mixture fraction Special Symbols a Thermal diffusivity, angle, coefficient ß Coefficient of thermal expansion, coefficient di,j Kronecker delta ? Variation, Laplacian, filter size ? Viscous dissipation, error ? Kolmogorov length, similarity variable, generalized coordinate ? Parameter ?i Activity coefficient Gi Gamma function k Thermal conductivity, von Kárman constant ? Eigenvalue ? Matrix of eigenvalues µ Chemical potential, dynamic viscosity, mean v', vi Stoichiometric coefficient vT Turbulent viscosity ? Radio by length relation, generalized coordinate ? Density s Standard deviation si,j Stress tensor t Time, tortuosity ti,j Viscous stress tensor tw Wall shear stress ?, F Variable F Viscous dissipation ? Scalar dissipation rate ? Variable O Element of volume  Partial derivative  Gradient operator  Divergence operator  Curl operator Subscripts and superscripts Subscripts b Burned c Chemical cl Center line d Droplet D Diffusivity f Fluid F Fuel i, j, k Species, coordinate directions ig Ignition int Internal m Constant n Normal, constant N Numerical...