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...