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Theoretical and Numerical Combustion

Thierry Poinsot and Denis Veynante

Presents basic techniques and recent progress in numerical combustion while establishing important connections with the underlying combustion basics.


Format: Paperback, English, 540 pages
ISBN: 1930217102
Publisher: R.T. Edwards, Inc.
Pub. Date: 2005
Edition: Second
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Book Description

Presents basic techniques and recent progress in numerical combustion while establishing important connections with the underlying combustion basics.

The Second Edition is fully updated to reflect reader feedback and the latest advances in combustion research, and mirrors the evolution of unsteady simulation methods such as LES codes for partially premixed flames and complex geometry burners. Includes extended descriptions of wave equations in reacting flows, physics of combustion instabilities, acoustic/combustion coupling, and examples of LES in real combustors with comparisons to experimental data.

Reader Comments

****   Great book

Pratik  Thu, May 22, 2008

This is a really useful book if you want to write codes for pre-mixed or non-premixed combustion. The author has summarized important concepts really well. It also provides a brief review of turbulence models. The book is quite complete in this regard. However, for specific concepts likePDF Methods or QMOM, more references would be necessary.

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Table of Contents

1 Conservation equations for reacting flows  
1.1 General forms  
1.1.1 Choice of primitive variables  
1.1.2 Conservation of momentum  
1.1.3 Conservation of mass and species  
1.1.4 Diffusion velocities: full equations and approximations  
1.1.5 Conservation of energy  
1.2 Usual simplified forms  
1.2.1 Constant pressure flames  
1.2.2 Equal heat capacities for all species  
1.2.3 Constant heat capacity for the mixture only  
1.3 Summary of conservation equations  
2 Laminar premixed flames  
2.1 Introduction  
2.2 Conservation equations and numerical solutions  
2.3 Steady one-dimensional laminar premixed flames  
2.3.1 One-dimensional flame codes  
2.3.2 Sensitivity analysis  
2.4 Theoretical solutions for laminar premixed flames  
2.4.1 Derivation of one-step chemistry conservation equations  
2.4.2 Thermochemistry and chemical rates  
2.4.3 The equivalence of temperature and fuel mass fraction  
2.4.4 The reaction rate  
2.4.5 Analytical solutions for flame speed  
2.4.6 Generalized expression for flame speeds  
2.4.7 Single step chemistry limitations and stiffness of reduced schemes  
2.4.8 Variations of flame speed with temperature and pressure  
2.5 Premixed flame thicknesses  
2.5.1 Simple chemistry  
2.5.2 Complex chemistry  
2.6 Flame stretch  
2.6.1 Definition and expressions of stretch  
2.6.2 Stretch of stationary flames  
2.6.3 Examples of flames with zero stretch  
2.6.4 Examples of stretched flames  
2.7 Flame speeds  
2.7.1 Flame speed definitions  
2.7.2 Flame speeds of laminar planar unstretched flames  
2.7.3 Flame speeds of stretched flames  
2.8 Instabilities of laminar flame fronts  
3 Laminar diffusion flames  
3.1 Diffusion flame configurations  
3.2 Theoretical tools for diffusion flames  
3.2.1 Passive scalars and mixture fraction  
3.2.2 Flame structure in the z-space  
3.2.3 The steady flamelet assumption  
3.2.4 Decomposition into mixing and flame structure problems  
3.2.5 Models for diffusion flame structures  
3.3 Flame structure for irreversible infinitely fast chemistry  
3.3.1 The Burke-Schumann flame structure  
3.3.2 Maximum local flame temperature in a diffusion flame  
3.3.3 Maximum flame temperature in diffusion and premixed flames  
3.3.4 Maximum and mean temperatures in diffusion burners  
3.4 Full solutions for irreversible fast chemistry flames  
3.4.1 Unsteady unstrained one-dimensional diffusion flame with infinitely fast chemistry and constant density  
3.4.2 Steady strained one-dimensional diffusion flame with infinitely fast chemistry and constant density  
3.4.3 Unsteady strained one-dimensional diffusion flame with infinitely fast chemistry and constant density  
3.4.4 Jet flame in an uniform flow field  
3.4.5 Extensions to variable density  
3.5 Extensions of theory to other flame structures  
3.5.1 Reversible equilibrium chemistry  
3.5.2 Finite rate chemistry  
3.5.3 Summary of flame structures  
3.5.4 Extensions to variable Lewis numbers  
3.6 Real laminar diffusion flames  
3.6.1 One-dimensional codes for laminar diffusion flames  
3.6.2 Mixture fractions in real flames  
4 Introduction to turbulent combustion  
4.1 Interaction between flames and turbulence  
4.2 Elementary descriptions of turbulence  
4.3 Influence of turbulence on combustion  
4.3.1 One-dimensional turbulent premixed flame  
4.3.2 Turbulent jet diffusion flame  
4.4 Computational approaches for turbulent combustion  
4.5 RANS simulations for turbulent combustion  
4.5.1 Averaging the balance equations  
4.5.2 Unclosed terms in Favre averaged balance equations  
4.5.3 Classical turbulence models for the Reynolds stresses  
4.5.4 A first attempt to close mean reaction rates  
4.5.5 Physical approaches to model turbulent combustion  
4.5.6 A challenge for turbulent combustion modeling: flame flapping and intermittency  
4.6 Direct numerical simulations  
4.6.1 The role of DNS in turbulent combustion studies  
4.6.2 Numerical methods for direct simulation  
4.6.3 Spatial resolution and physical scales  
4.7 Large eddy simulations  
4.7.1 LES filters  
4.7.2 Filtered balance equations  
4.7.3 Unresolved fluxes modeling  
4.7.4 Simple filtered reaction rate closures  
4.7.5 Dynamic modeling in turbulent combustion  
4.7.6 Limits of large eddy simulations  
4.7.7 Comparing large eddy simulations and experimental data  
4.8 Chemistry for turbulent combustion  
4.8.1 Introduction  
4.8.2 Global schemes  
4.8.3 Automatic reduction - Tabulated chemistries  
4.8.4 In situ adaptive tabulation (ISAT)  
5 Turbulent premixed flames  
5.1 Phenomenological description  
5.1.1 The effect of turbulence on flame fronts: wrinkling  
5.1.2 The effect of flame fronts on turbulence  
5.1.3 The infinitely thin flame front limit  
5.2 Premixed turbulent combustion regimes  
5.2.1 A first difficulty: defining u'  
5.2.2 Classical turbulent premixed combustion diagrams  
5.2.3 Modified combustion diagrams  
5.3 RANS of turbulent premixed flames  
5.3.1 Premixed turbulent combustion with single one-step chemistry  
5.3.2 The “no-model” or Arrhenius approach  
5.3.3 The Eddy Break Up (EBU) model  
5.3.4 Models based on turbulent flame speed correlations  
5.3.5 The Bray Moss Libby (BML) model  
5.3.6 Flame surface density models  
5.3.7 Probability density function (pdf) models  
5.3.8 Modeling of turbulent scalar transport terms  
5.3.9 Modeling of the characteristic turbulent flame time  
5.3.10 Kolmogorov-Petrovski-Piskunov (KPP) analysis  
5.3.11 Flame stabilization  
5.4 LES of turbulent premixed flames  
5.4.1 Introduction  
5.4.2 Extension of RANS models: the LES-EBU model  
5.4.3 Artificially thickened flames  
5.4.4 G-equation  
5.4.5 Flame surface density LES formulations  
5.4.6 Scalar fluxes modeling in LES  
5.5 DNS of turbulent premixed flames  
5.5.1 The role of DNS in turbulent combustion studies  
5.5.2 DNS database analysis  
5.5.3 Studies of local flame structures using DNS  
5.5.4 Complex chemistry simulations  
5.5.5 Studying the global structure of turbulent flames with DNS  
5.5.6 DNS analysis for large eddy simulations  
6 Turbulent non-premixed flames  
6.1 Introduction  
6.2 Phenomenological description  
6.2.1 Typical flame structure: jet flame  
6.2.2 Specific features of turbulent non-premixed flames  
6.2.3 Turbulent non-premixed flame stabilization  
6.2.4 An example of turbulent non-premixed flame stabilization  
6.3 Turbulent non-premixed combustion regimes  
6.3.1 Flame/vortex interactions in DNS  
6.3.2 Scales in turbulent non-premixed combustion  
6.3.3 Combustion regimes  
6.4 RANS of turbulent non-premixed flames  
6.4.1 Assumptions and averaged equations  
6.4.2 Models for primitive variables with infinitely fast chemistry  
6.4.3 Mixture fraction variance and scalar dissipation rate  
6.4.4 Models for mean reaction rate with infinitely fast chemistry  
6.4.5 Models for primitive variables with finite rate chemistry  
6.4.6 Models for mean reaction rate with finite rate chemistry  
6.5 LES of turbulent non-premixed flames  
6.5.1 Linear Eddy Model  
6.5.2 Infinitely fast chemistry  
6.5.3 Finite rate chemistry  
6.6 DNS of turbulent non-premixed flames  
6.6.1 Studies of local flame structure  
6.6.2 Autoignition of a turbulent non-premixed flame  
6.6.3 Studies of global flame structure  
6.6.4 Three-dimensional turbulent hydrogen jet lifted flame with complex chemistry  
7 Flame/wall interactions  
7.1 Introduction  
7.2 Flame–wall interaction in laminar flows  
7.2.1 Phenomenological description  
7.2.2 Simple chemistry flame/wall interaction  
7.2.3 Computing complex chemistry flame/wall interaction  
7.3 Flame/wall interaction in turbulent flows  
7.3.1 Introduction  
7.3.2 DNS of turbulent flame/wall interaction  
7.3.3 Flame/wall interaction and turbulent combustion models  
7.3.4 Flame/wall interaction and wall heat transfer models  
8 Flame/acoustics interactions  
8.1 Introduction  
8.2 Acoustics for non-reacting flows  
8.2.1 Fundamental equations  
8.2.2 Plane waves in one dimension  
8.2.3 Harmonic waves and guided waves  
8.2.4 Longitudinal modes in constant cross section ducts  
8.2.5 Longitudinal modes in variable cross section ducts  
8.2.6 Longitudinal/transverse modes in rectangular ducts  
8.2.7 Longitudinal modes in a series of constant cross section ducts  
8.2.8 The double duct and the Helmholtz resonator  
8.2.9 Multidimensional acoustic modes in cavities  
8.2.10 Acoustic energy density and flux  
8.3 Acoustics for reacting flows  
8.3.1 An equation for ln(P) in reacting flows  
8.3.2 A wave equation in low Mach-number reacting flows  
8.3.3 Acoustic velocity and pressure in low-speed reacting flows  
8.3.4 Acoustic jump conditions for thin flames  
8.3.5 Longitudinal modes in a series of ducts with combustion  
8.3.6 Three-dimensional Helmholtz tools  
8.3.7 The acoustic energy balance in reacting flows  
8.3.8 About energies in reacting flows  
8.4 Combustion instabilities  
8.4.1 Stable versus unstable combustion  
8.4.2 Interaction of longitudinal waves and thin flames  
8.4.3 The formulation for flame transfer function  
8.4.4 Complete solution in a simplified case  
8.4.5 Vortices in combustion instabilities  
8.5 Large eddy simulations of combustion instabilities  
8.5.1 Introduction  
8.5.2 LES strategies to study combustion instabilities  
9 Boundary conditions  
9.1 Introduction  
9.2 Classification of compressible Navier-Stokes equations formulations  
9.3 Description of characteristic boundary conditions  
9.3.1 Theory  
9.3.2 Reacting Navier-Stokes equations near a boundary  
9.3.3 The Local One Dimensional Inviscid (LODI) relations  
9.3.4 The NSCBC strategy for the Euler equations  
9.3.5 The NSCBC strategy for Navier-Stokes equations  
9.3.6 Edges and corners  
9.4 Examples of implementation  
9.4.1 A subsonic inflow with fixed velocities and temperature (SI-1)  
9.4.2 A subsonic non-reflecting inflow (SI-4)  
9.4.3 Subsonic non-reflecting outflows (B2 and B3)  
9.4.4 A subsonic reflecting outflow (B4)  
9.4.5 An isothermal no-slip wall (NSW)  
9.4.6 An adiabatic slip wall (ASW)  
9.5 Applications to steady non-reacting flows  
9.6 Applications to steady reacting flows  
9.7 Unsteady flows and numerical waves control  
9.7.1 Physical and numerical waves  
9.7.2 Vortex/boundary interactions  
9.8 Applications to low Reynolds number flows  
10 Examples of LES applications  
10.1 Introduction  
10.2 Case 1: small scale gas turbine burner  
10.2.1 Configuration and boundary conditions  
10.2.2 Non reacting flow  
10.2.3 Stable reacting flow  
10.3 Case 2: large-scale gas turbine burner  
10.3.1 Configuration  
10.3.2 Boundary conditions  
10.3.3 Comparison of cold and hot flow structures  
10.3.4 A low-frequency forced mode  
10.3.5 A high-frequency self-excited mode  
10.4 Case 3: self-excited laboratory-scale burner  
10.4.1 Configuration  
10.4.2 Stable flow  
10.4.3 Controlling oscillations through boundary conditions  

Related Book Categories

Simulation of Turbulence, DNS and LES, Combustion, Aerospace Applications

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