Cover -- Title Page -- Copyright -- Contents -- Preface -- List of Main Symbols -- 1: Generation of Multiphase Flows -- 1.1. Creation of suspensions of solid particles in a gaseous phase -- 1.1.1. Creation of a homogeneous suspension of starch particles -- 1.1.2. Soot formation -- 1.2. Creation of suspensions of bubbles in a liquid -- 1.2.1. Example of creation of a suspension of bubbles in a liquid -- 1.2.2. Influence of gravity on suspensions in pipes -- 1.2.3. Slug flows -- 1.3. Creation of suspensions of drops in a gas -- 1.3.1. Destabilization of fluid sheets and layers -- 1.3.1.1. Linear study of the instabilities of semi-infinite layers of perfect fluids -- 1.3.1.2. Linear study of the instabilities of a layer of viscous liquid, of finite thickness, in the presence of flows of incompressible perfect gases -- 1.3.1.3. Linear study of the instabilities of a thin film of viscous liquid in the presence of a flow of incompressible perfect gas -- 1.3.1.4. Droplet generation by vibrations in a direction normal to the liquid layer -- 1.3.1.5. Generation of filaments from a liquid sheet seeded with air bubbles -- 1.3.2. Formation of droplets from filaments -- 1.3.2.1. Linear study of the instability of an isolated perfect liquid cylinder -- 1.3.2.2. Linear study of the instability of an isolated viscous liquid cylinder -- 1.3.2.3. Experimental studies of stretched filaments -- 1.3.3. Numerical simulation of primary atomization -- 1.3.3.1. Phenomenological approaches such as the Kolmogorov technique -- 1.3.3.2. RANS-type approaches to primary atomization -- 1.3.3.3. Direct Numerical Simulation (DNS) -- 1.3.4. Secondary atomization -- 1.3.4.1. Drops suddenly subjected to a gaseous flow -- 1.3.4.2. Drops formed from concentric jets -- 2: Problems at the Scale of a Particle -- 2.1. Force exerted by a fluid on a spherical particle.

2.1.1. Perfect incompressible fluid -- 2.1.2. Incompressible viscous fluid -- 2.1.2.1. General points -- 2.1.2.2. Stokes' theorem -- 2.1.2.3. Oseen theory -- 2.1.2.4. Effect of acceleration of the particles and history term -- 2.2. Heat exchanges -- 2.3. Combustion of a drop of fuel in an oxidizing environment -- 3: Simplified Model of a Non-reactive Flow with Particles -- 3.1. Variables characterizing the flow -- 3.2. Balance equations -- 3.2.1. Balances for the particles -- 3.2.2. Balances for the gaseous phase -- 3.2.3. Entropy balance and phenomenological relations -- 3.3. Application to the linearized study of sound propagation in a non-reactive dilute suspension -- 3.4. Two-phase dilute flows in nozzles -- 3.4.1. Flow with constant phase shifts -- 3.4.2. Numerical solutions -- 4: Simplified Model of a Reactive Flow with Particles -- 4.1. Balance equations for a reactive fog -- 4.1.1. Balances for the droplets -- 4.1.2. Balances of the mixture -- 4.1.3. Gaseous balances -- 4.1.4. Entropy balance of the spray and phenomenological relations -- 4.1.5. Equations of the two-phase CEDRE solver -- 4.1.6. Modified equations to take account of an internal temperature gradient of the drops: multi-layer model -- 4.1.6.1. Case of the 2-layer model -- 4.1.6.2. Case of the N-layer model -- 4.2. Application to a spray flame -- 4.2.1. Application of a minimum model to the study of the threshold of appearance of a pulsating flame -- 4.2.2. Application to the study of the resonant action of an acoustic wave on a spray flame -- 4.2.2.1. Base equations -- 4.2.2.2. Study of coupling -- 4.2.2.3. Energy transfer to the acoustic wave -- 5: Radiative Phenomena -- 5.1. Basic values and fundamental relations in radiative transfer -- 5.1.1. Definitions -- 5.1.2. Radiative Transfer Equation (RTE) -- 5.1.3. Radiative flux and power.

5.1.3.1. Monochromatic absorption coefficient -- 5.1.3.2. Monochromatic emission coefficient -- 5.1.4. Involvement of radiative heat transfer in the equations of aerothermochemistry -- 5.1.4.1. Case of a one-dimensional homogeneous gaseous flow -- 5.1.4.2. Case of a three-dimensional homogeneous gaseous flow -- 5.1.4.3. Case of a flow with soot formation and radiative transfer -- 5.1.4.4. Interface with radiative transfer -- 5.1.5. Turbulence-radiation interaction (TRI) -- 5.1.6. Modeling of the radiative properties of gases -- 5.1.6.1. Uniform medium -- 5.1.6.1.1. Absorption coefficient and overlap parameter -- 5.1.6.1.2. Spectral profiles -- 5.1.6.2. Non-uniform medium -- 5.1.6.3. Box model -- 5.1.6.4. Other models -- 5.1.7. Modeling of the radiative properties of the particles -- 5.1.7.1. Expressions of the radiative properties -- 5.1.7.2. Box model for particles -- 5.1.7.3. Rayleigh regime for scattering -- 5.2. Application to the hypersonic flow of atmospheric re-entry -- 5.2.1. One-dimensional approximation for a re-entering body -- 5.2.2. 3D calculations for a body experiencing re-entry -- 5.3. Application to the boundary layer above a flat plate with soot formation and radiative transfer -- 5.3.1. Recap on a boundary layer with diffusion -- 5.3.2. Reminders about the Emmons problem -- 5.3.3. Influence of soot and radiative transfer -- 5.4. Application to combustion of aluminum-based solid propellants -- Appendix: Concepts Surrounding the Hopf Bifurcation -- Bibliography -- Index.