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E-raamat: Introduction to Reactive Gas Dynamics [Oxford Scholarship Online e-raamatud]

(, Directeur de Recherches au CNRS and Head of Research Department at Université de Provence, Marseille.)
  • Formaat: 430 pages, 171 line and 5 halftone illustrations, 4 colour images
  • Ilmumisaeg: 26-Feb-2009
  • Kirjastus: Oxford University Press
  • ISBN-13: 9780199552689
  • Oxford Scholarship Online e-raamatud
  • Raamatu hind pole hetkel teada
  • Formaat: 430 pages, 171 line and 5 halftone illustrations, 4 colour images
  • Ilmumisaeg: 26-Feb-2009
  • Kirjastus: Oxford University Press
  • ISBN-13: 9780199552689
Writing for students with basic knowledge in thermodynamics, statistical physics, and fluid mechanics, Brun (director of research, Centre National de la Recherche Scientifique) presents an introduction to the analysis of the coupling and interaction between chemical phenomena and aerodynamic processes of gases. In the first half of the text, he provides a statistical description of a gaseous reactive medium, develops solutions for evolution equations at the semi-microscopic and macroscopic levels, determines transport properties for pure gases and mixtures corresponding to linearized non-equilibrium of zero order solutions, and proposes a general method of modeling reactive gas flows with arbitrary degree and type of non-equilibrium. In the second half, the macroscopic properties of reactive flows are analyzed, mainly by way of typical examples. Chapters in this section present the general equations governing the reactive flows; examine shock waves, unsteady flows, boundary layers, inviscid and dissipative reactive flows, shock tubes, and shock tunnels; and interpret the experimental results concerning relaxation times, vibrational populations, and reaction rates. Annotation ©2009 Book News, Inc., Portland, OR (booknews.com)

In the high energy gas flows, associating high velocities and high temperatures, physical and chemical processes such as molecular vibrational excitation, dissociation, ionisation or various reactions take palce and deeply influence the structure of the flows. The characteristic times of these processes have the same order of magnitude as aerodynamic characteristic times so that these reactive media are generally in thermodynamic and chemical non-equilibrium. This book presents a general introductory study of these media. In the first part their fundamental statistical aspects are described, starting from their discrete structure and taking into account the interactions between elementary particles: the transport phenomena, relaxation and kinetics as well as their coupling are thus analysed and illustrated by many examples. The second part deals with the macroscopic re-entry bodies. Finally the experimental aspects of these flows, their simulations in shock tube and shock tunnel are described as well as their application, particularly in the aero- spatial domain.
This book is intended for researchers and students that have acquired basic knowledge in thermodynamics, statistical physics and fluid mechanics. It must also interest the engineers engaged in research and industry related to the applications of the reactive flows, in particular in the aerospace field and, more generally, all the researchers trying to simulate and calculate complex reactive flows.
Introduction xiii
General Notations xvii
Part I Fundamental Statistical Aspects
1(188)
Notations to Part I
3(2)
Statistical Description and Evolution of Reactive Gas Systems
5(31)
Introduction
5(1)
Statistical description
6(5)
State parameters
7(2)
Transport parameters
9(2)
Evolution of gas systems
11(3)
Boltzmann equation
11(1)
General properties
12(1)
Macroscopic balance equations
12(2)
General properties of collisions
14(4)
Elastic collisions
14(3)
Inelastic collisions
17(1)
Reactive collisions
18(1)
Properties of collisional terms
18(18)
Collisional term expressions
18(3)
Characteristic times: collision frequencies
21(1)
Appendix 1.1 Elements of tensorial algebra
22(3)
Appendix 1.2 Elements of molecular physics
25(6)
Appendix 1.3 Mechanics of collisions
31(5)
Equilibrium and Non-Equilibrium Collisional Regimes
36(30)
Introduction
36(1)
Collisional regimes: generalities
37(1)
Pure gases: equilibrium regimes
38(5)
Monatomic gases
39(2)
Diatomic gases
41(2)
Pure diatomic gases: general non-equilibrium regime
43(3)
Pure diatomic gases: specific non-equilibrium regimes
46(4)
Dominant TV collisions
47(1)
Dominant VV collisions
47(2)
Dominant resonant collisions
49(1)
Physical applications of the results
50(1)
Gas mixtures: equilibrium regimes
50(2)
Mixtures of monatomic gases
50(1)
Mixtures of diatomic gases
51(1)
Mixtures of diatomic gases in vibrational non-equilibrium
52(1)
Mixtures of reactive gases
53(13)
Reactive gases without internal modes
53(2)
Reactive gases with internal modes
55(1)
Appendix 2.1 The H theorem
56(1)
Appendix 2.2 Properties of the Maxwellian distribution
57(2)
Appendix 2.3 Models for internal modes
59(1)
Appendix 2.4 General vibrational relaxation equation
60(2)
Appendix 2.5 Specific vibrational relaxation equations
62(3)
Appendix 2.6 Properties of the Eulerian integrals
65(1)
Transport and Relaxation in Quasi-Equilibrium Regimes: Pure Gases
66(34)
Introduction
66(1)
Expansion of the distribution function
66(3)
Definition of flow regimes
66(2)
Classification of flow regimes
68(1)
First-order solutions
69(31)
Pure gases with elastic collisions: monatomic gases
70(5)
Pure diatomic gases with one internal mode
75(7)
Pure diatomic gases with two internal modes
82(5)
Appendix 3.1 Orthogonal bases
87(4)
Appendix 3.2 Systems of equations for a, b, d coefficients
91(1)
Appendix 3.3 Expressions of the collisional integrals
92(3)
Appendix 3.4 Influence of the collisional model on the transport terms
95(1)
Appendix 3.5 Linearization of the relaxation equation
96(2)
Appendix 3.6 Vibrational non-equilibrium distribution
98(2)
Transport and Relaxation in Quasi-Equilibrium Regimes: Gas Mixtures
100(31)
Introduction
100(1)
Gas mixtures with elastic collisions
100(6)
Chapman-Enskog method
100(3)
Transport terms: Navier-Stokes equations
103(3)
Binary mixtures of diatomic gases
106(6)
One internal mode
106(3)
Two internal modes
109(3)
Mixtures of reactive gases
112(19)
Appendix 4.1 Systems of equations for a, b, I, d coefficients
113(4)
Appendix 4.2 Collisional integrals and simplifications
117(5)
Appendix 4.3 Simplified transport coefficients
122(2)
Appendix 4.4 Alternative technique: Gross-Jackson method
124(4)
Appendix 4.5 Alternative technique: method of moments
128(3)
Transport and Relaxation in Non-Equilibrium Regimes
131(29)
Introduction
131(1)
Vibrational non-equilibrium gases: SNE case
131(7)
Pure diatomic gases
131(4)
Mixtures of diatomic gases
135(2)
Usual approximations: SNE case
137(1)
Mixtures of reactive gases: (SNE)C case
138(22)
(SNE)C + (WNE) v case
138(6)
(SNE)C+(SNE) v case
144(3)
Appendix 5.1 Pure gases in vibrational non-equilibrium
147(2)
Appendix 5.2 First-order expression of the vibrational relaxation equation
149(1)
Appendix 5.3 Gas mixtures in vibrational non-equilibrium
150(4)
Appendix 5.4 Expressions of g coefficients and relaxation pressure
154(2)
Appendix 5.5 Vibration-dissociation-recombination interaction
156(4)
Generalized Chapman-Enskog Method
160(29)
Introduction
160(1)
General method
160(2)
Vibrationally excited pure gases
162(4)
Transport terms
164(1)
Approximate expressions of heat fluxes
165(1)
Extension to mixtures of vibrational non-equilibrium gases
166(1)
Reactive gases
167(2)
Conclusions on non-equilibrium flows
169(20)
Appendix 6.1 Vibrationally excited pure gases
169(2)
Appendix 6.2 Transport terms in non-dissociated media
171(2)
Appendix 6.3 Example of gases with dominant VV collisions
173(2)
Appendix 6.4 A simplified technique: BGK method
175(3)
Appendix 6.5 Boundary conditions for the Boltzmann equation
178(3)
Appendix 6.6 Free molecular regime
181(2)
Appendix 6.7 Direct simulation Monte Carlo methods
183(3)
Appendix 6.8 Hypersonic flow regimes
186(3)
Part II Macroscopic Aspects and Applications
189(208)
Notations to Part II
191(4)
General Aspects of Gas Flows
195(29)
Introduction
195(1)
General equations: macroscopic aspects and review
195(6)
Comments on the transport terms
196(1)
Particular forms of balance equations
197(2)
Entropy balance
199(1)
Boundary conditions
200(1)
Physical aspects of the general equations
201(6)
Characteristic quantities
201(1)
Dimensionless conservation equations
202(2)
Dimensionless numbers: flow classification
204(3)
Characteristic general flows
207(17)
Steady flows
207(2)
Unsteady flows
209(1)
Simplified flow models
210(1)
Stability of the flows: turbulent flows
211(1)
Appendix 7.1 General equations: review
212(4)
Appendix 7.2 Unsteady heat flux at a gas-solid interface
216(1)
Appendix 7.3 Gas-liquid interfaces
217(2)
Appendix 7.4 Dimensional analysis
219(1)
Appendix 7.5 Generalities on total balances
220(1)
Appendix 7.6 Elements of magnetohydrodynamics
221(3)
Elements of Gas Dynamics
224(35)
Introduction
224(1)
Ideal gas model: consequences
224(2)
Isentropic flows
226(3)
One-dimensional steady flows
226(1)
Multidimensional steady flows
226(1)
One-dimensional unsteady flows
227(2)
Shock waves and flow discontinuities
229(2)
Straight shock wave: Rankine-Hugoniot relations
229(1)
Ideal gas model
230(1)
Dissipative flows
231(28)
Domain of influence: boundary layer
231(2)
General equations: two-dimensional flows
233(3)
Appendix 8.1 Method of characteristics
236(1)
Appendix 8.2 Fundamentals of supersonic nozzles
237(2)
Appendix 8.3 Shock waves: configuration and kinematics
239(3)
Appendix 8.4 Generalities on the boundary layer
242(5)
Appendix 8.5 Simple boundary layers: typical cases
247(5)
Appendix 8.6 The turbulent boundary layer
252(3)
Appendix 8.7 Flow separation and drag in MHD
255(4)
Reactive Flows
259(35)
Introduction
259(1)
Generalities on chemical reactions
259(1)
Equilibrium flows
260(6)
Law of mass action: chemical equilibrium constant
260(1)
Examples of reactions
261(3)
Examples of equilibrium flows
264(2)
Non-equilibrium flows
266(5)
Chemical kinetics
266(2)
Vibrational kinetics
268(3)
General kinetics
271(1)
Typical cases of Eulerian non-equilibrium flows
271(23)
Flow behind a straight shock wave
271(7)
Flow in a supersonic nozzle
278(4)
Flow around a body
282(1)
Appendix 9.1 Evolution of vibrational populations behind a shock wave
283(1)
9.1.1 Evolution without dissociation
284(1)
9.1.2 Evolution with dissociation
285(1)
Appendix 9.2 Air chemistry at high temperature
286(1)
9.2.1 Air chemistry in equilibrium conditions
286(1)
9.2.2 lonization phenomena
287(3)
Appendix 9.3 Reaction-rate constants
290(2)
Appendix 9.4 Nozzle flows
292(2)
Reactive Flows in the Dissipative Regime
294(32)
Introduction
294(1)
Boundary layers in chemical equilibrium
295(5)
The flat plate
295(1)
The stagnation point
296(2)
Reactive boundary layer and wall catalycity
298(2)
Boundary layer along a body
300(1)
Boundary layers in vibrational non-equilibrium
300(5)
Example 1: boundary layer behind a moving shock wave
300(1)
Example 2: boundary layer in a supersonic nozzle
301(2)
Example 3: boundary layer behind a reflected shock wave
303(2)
Two-dimensional flows
305(21)
Hypersonic flow in a nozzle
305(3)
Hypersonic flow around a body
308(3)
Mixtures of supersonic reactive jets
311(2)
Appendix 10.1 Catalycity in the vibrational non-equilibrium regime
313(2)
Appendix 10.2 Generalized Rankine-Hugoniot relations
315(1)
Appendix 10.3 Unsteady boundary layers
316(1)
Appendix 10.4 CO2/N2 gas-dynamic lasers
317(3)
Appendix 10.5 Transport terms in the non-equilibrium regime
320(3)
Appendix 10.6 Numerical method for solving the Navier-Stokes equations
323(3)
Facilities and Experimental Methods
326(34)
Introduction
326(1)
The shock tube
327(20)
Simple shock tube theory
327(3)
Disturbing effects
330(5)
Reflected shock waves
335(2)
General techniques: configurations and operation
337(4)
General methods of measurement
341(6)
The hypersonic tunnel
347(13)
Generalities
347(1)
The hypersonic shock tunnel
347(3)
Appendix 11.1 Experiments in real flight
350(2)
Appendix 11.2 Optimum flow duration in a shock tube
352(1)
Appendix 11.3 Heat flux measurements in a shock tube
353(2)
Appendix 11.4 Shock-interface interactions
355(1)
Appendix 11.5 Operation of a free-piston shock tunnel
356(2)
Appendix 11.6 Source flow in hypersonic nozzles
358(2)
Relaxation and Kinetics in Shock Tubes and Shock Tunnels
360(37)
Introduction
360(1)
Vibrational relaxation
361(13)
Relaxation times: general methods
361(5)
Vibrational populations
366(6)
Vibrational catalycity
372(2)
Chemical kinetics
374(23)
Dissociation-rate constants
374(2)
Time-resolved spectroscopic methods
376(6)
Chemical catalycity
382(1)
Hypersonic flow around bodies
383(2)
Appendix 12.1 Generalities on IR emission
385(1)
Appendix 12.2 Models for vibration relaxation times
386(1)
Appendix 12.3 Simulation of emission spectra
387(4)
Appendix 12.4 Precursor radiation in shock tubes
391(3)
Appendix 12.5 Examples of kinetic models
394(3)
References 397(8)
Index 405