Real gas flows with high velocities:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Boca Raton [u.a.]
CRC Press
2009
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | XV, 735 S. graph. Darst. |
| ISBN: | 9781439804650 |
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MARC
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| 100 | 1 | |a Lunev, Vladimir |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Real gas flows with high velocities |c Vladimir Lunev |
| 264 | 1 | |a Boca Raton [u.a.] |b CRC Press |c 2009 | |
| 300 | |a XV, 735 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Aerodynamics, Hypersonic | |
| 650 | 4 | |a Gas flow | |
| 650 | 0 | 7 | |a Gasdynamik |0 (DE-588)4019339-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Hochgeschwindigkeitsaerodynamik |0 (DE-588)4195679-5 |2 gnd |9 rswk-swf |
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| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017760068&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Klappentext |
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| _version_ | 1804139424800309248 |
|---|---|
| adam_text | Contents
Abstract
............................................. ix
Preface
............................................. xi
Author
............................................. xv
1
Gas
Dynamic Model and Equations of Gas Flows
.................. 1
1.1
Outline of the Gas Dynamic Model of Gas Flows
............... 1
1.2
Postulates and Equations of Gas Dynamics: One-Dimensional Flow
.... 7
1.2.1
The Momentum Conservation Law
.................. 8
1.2.2
The Energy Conservation Law
..................... 9
1.3
Equations of State
................................. 11
1.4
Some Knowledge of Molecular Kinetic Theory
................. 18
1.5
Entropy and the Second Law of Thermodynamics
............... 24
1.6
Speed of Sound
................................... 28
1.7
Integral Equations of Fluid and Gas Motion: Simple Examples
....... 32
1.7.1
Mass Conservation Law
......................... 33
1.7.2
Momentum Conservation Law
..................... 33
1.7.3
Energy Equation
............................. 34
1.8
Some Questions of the Kinematics of Fluid Media:
Differential Vector Operators
........................... 39
1.8.1
Particle Trajectories and Streamlines
.................. 40
1.8.2
Curl and Deformation Rate
....................... 41
1.8.3
Vector Divergence
............................ 44
1.8.4
Vector Divergence of a Vector Pair
................... 46
1.9
Differential Equations of Gas Dynamics
..................... 46
1.9.1
Mass Conservation or Continuity Equation
.............. 46
1.9.2
Momentum Equation: Viscous Stress Field
.............. 47
1.9.3
Energy Equation
............................. 48
1.10
Rheological Model of Newtonian Fluids and Gases
.............. 51
1.11
Initial and Boundary Conditions
......................... 55
1.11.1
Boundary Conditions
.......................... 56
1.11.2
Existence and Uniqueness of Solutions of Gas Dynamic
Problems
.................................. 58
1.12
Similarity and Modeling in Gas Dynamics
................... 58
1.12.1
First Approach: Inviscid Perfect Gas
.................. 59
1.12.2
Second Approach: Similarity Theory
.................. 60
1.12.3
RealGases
................................. 62
1.12.4
Unsteady Flows
.............................. 63
1.12.5
Motion of Bodies in Heavy Fluids
................... 64
1.12.6
Self-Similar Problems
.......................... 64
1.13
Curvilinear Coordinate Systems:
Euler
Equations
............... 65
1.13.1
Other Operators
.............................. 65
1.13.2
Cylindrical System
............................ 67
1.13.3
Spherical Coordinates
.......................... 68
1.13.4
Curvilinear Surface-Fitted Coordinate System for Plane and
Axisymmetric Flows
........................... 69
1.13.5
General Case
............................... 70
iii
Contents
1.14
Navier-Stokes
Equations in Curvilinear Coordinates
............. 72
1.15
Turbulent Flows
.................................. 76
1.16
Viscous and Inviscid Flow Models
........................ 78
Inviscid Gas Dynamics: General Issues
and Simple Solutions
.................................. 81
2.1
Stream Function, Potential, and Vortex
..................... 81
2.1.1
Curl and Velocity Circulation
...................... 82
2.1.2
Velocity Potential
............................. 84
2.2
Integrals of Gas Dynamic Equations
....................... 85
2.2.1
Steady-State Adiabatic Flows
...................... 86
2.2.2
Potential Adiabatic Flows of Barotropic Gases
............ 87
2.3
One-Dimensional Stationary Flows
....................... 90
2.3.1
General Equations and Role of the
Mach
Number
.......... 90
2.3.2
Laval Nozzle: Isentropic Flow
...................... 92
2.3.3
Thermal Nozzle
.............................. 95
2.3.4
Variable Flow-Rate Nozzle
....................... 95
2.4
Linear Equations of Gas Dynamics
........................ 96
2.5
Sound Wave Propagation
............................. 99
2.6
Nonlinear Effects: Expansion Fans and Shock Waves
............. 102
2.7
Steady-State Flow Past Thin Bodies: Similarity Law
.............. 105
2.7.1
Similarity Law
............................... 107
2.7.2
Unsteady Analogy
............................ 109
2.8
Thin Bodies in Supersonic Flow
......................... 110
2.8.1
Plane Flows
................................ 110
2.8.2
Axisymmetric Problems
......................... 113
2.9
Subsonic Flow Past Thin Bodies
......................... 117
2.10
Cylinder, Sphere, and Other Bodies in an Incompressible Flow
....... 123
2.11
Stagnation Points and Singular Lines
...................... 129
2.11.1
Plane Rotational and Irrotational Flows
................ 129
2.11.2
Axisymmetric Flow
............................ 130
2.11.3
Two Planes of Symmetry
........................ 131
2.11.4
Stagnation Point with a Positive Pressure Gradient
......... 132
2.11.5
Wedge in Incompressible Flow
..................... 133
2.11.6
Singular Surfaces and Lines
....................... 134
2.12
Forces in Subsonic Hows
............................. 135
2.13
Aerodynamic Characteristics
........................... 140
2.14
Accelerated Motion of Bodies
........................... 143
ShockWaves
....................................... 147
3.1
Introduction: Formulation of Problems
..................... 147
3.2
Shock Wave Structure in a Viscous Gas
..................... 149
3.3
Normal Shock Waves in Perfect Gases
...................... 151
3.4
Shock Waves in Normal Gases
.......................... 156
3.5
Oblique Shocks
................................... 163
3.6
Losses across Shock Waves
............................ 170
3.7
Piston and Wedge Problems
........................... 173
3.7.1
Linear and Quadratic Approximations
................. 174
3.7.2
Hypersonic Approximation of a Thin Shock Layer:
Newton Formula
............................. 175
Contents
Theory of Characteristics
................................ 181
4.1
Formulation of the Problem
............................ 181
4.2
One-Dimensional Unsteady Flows
........................ 184
4.3
Steady-State Two-Dimensional Flows
...................... 191
4.4
Three-Dimensional Flows
............................. 196
4.5
Simple Waves
.................................... 200
4.6
Properties of Expansion and Compression Waves
............... 203
4.6.1
Expansion Waves
............................. 204
4.6.2
Compression Waves
........................... 206
4.7
Propagation of Disturbances in
Nonuniform
Media
.............. 208
4.7.1
Waves in Continuous Media
...................... 208
4.7.2
Short Wave in a Vortex Flow
...................... 209
4.7.3
Short Wave/Contact Discontinuity Interaction
............ 211
4.7.4
Reflection of Disturbances from Sonic Lines
.............. 214
4.7.5
Flow behind the Point of the Flow Turn
................ 214
4.8
Interaction of Sound and Shock Waves
..................... 215
4.9
Breakdown of an Arbitrary Discontinuity
.................... 219
4.9.1
Irregular Shock Interactions
....................... 225
4.10
Disturbances in Thin Layers
........................... 227
4.11
Shock Front Equation
............................... 231
4.12
Waves in Anomalous Media
........................... 235
Mixed (Subsonic-Supersonic) Flows
......................... 239
5.1
Formation of Mixed Flows
............................ 239
5.2
Transonic
von
Karman
and Chaplygin Equations
............... 242
5.3
Formulation of Gas Dynamic Problems
..................... 246
5.3.1
Supersonic Flows
............................. 247
5.3.2
Subsonic Flows
.............................. 249
5.3.3
Transonic Flows
.............................. 250
5.4
Supersonic Flow Past Blunt Bodies
........................ 250
5.5
Nozzle and Jet Flows
............................... 256
5.5.1
Supersonic Jets
.............................. 257
5.5.2
Subsonic Jets
................................ 259
5.5.3
Interaction of Jets with Barriers
..................... 259
5.6
Subsonic Flow Past a Convex Corner
...................... 260
5.7
Interaction of Disturbances with a Subsonic Region
.............. 262
5.8
Existence of Steady-State Solutions
....................... 267
Self-Similar or Group Solutions
............................ 269
6.1
Basic Concepts
................................... 269
6.2
Cone in Incompressible Flow
........................... 271
6.3
Some Transonic Problems
............................. 273
6.4
Cone in Supersonic Flow
............................. 276
6.5
Conical Flows
.................................... 280
6.6
Cone at Incidence
................................. 284
6.7
Thin Delta Wing in a Supersonic Flow
...................... 290
6.8
Strong Blast
..................................... 294
6.9
Blast in Real Gases
................................. 301
6.10
Self-Similar Time-Dependent Dissipative Flows
................ 303
vi
Contents
7
Flows with Strong Shocks
................................ 313
7.1
Hypersonic Stabilization and Compressed Shock Layer
........... 313
7.2
Busemann and Newton Formulas
........................ 319
7.3
Blunt Bodies: Similarity Law
........................... 327
7.4
Aerodynamic Characteristics
........................... 329
7.5
Limiting Solution: Free Layer
........................... 337
7.6
Piston Problem
................................... 342
7.7
Truncation Series Method for the Vicinity of a Stagnation Point
....... 344
7.8
Constant-Density How in the Vicinity of the Axis of Symmetry
of a Blunt Body
................................... 349
7.9
Variable-Density Flow along the Axis of Symmetry
.............. 354
7.10
Thin Three-Dimensional Shock Layers
..................... 357
7.11
Flow in the Vicinity of the Planes of Symmetry of a Conical Body
...... 362
7.12
Jet Rowing Counter to a Hypersonic How
................... 368
7.13
Degenerate Shock Layer Equations
....................... 371
8
Hypersonic Flow Past Thin Sharp Bodies
....................... 377
8.1
Distinctive Features of the Nonlinear Theory
.................. 377
8.2
Basic Equations: Time-Dependent Analogy
................... 379
8.3
Analogy for the Integral Conservation Laws
.................. 383
8.4
Similarity Law
................................... 385
8.5
Flow around Thin Wings
............................. 388
8.6
Thin Bodies at High Incidence
.......................... 390
8.7
Time-Dependent Hows: Curved Body Rule
.................. 394
9
Flows Past Thin, Slightly Blunted Bodies
...................... 401
9.1
General Pattern of the How Past Thin Blunt Bodies
.............. 401
9.2
Similarity Law and Blast Analogy
........................ 405
9.3
Role of the High-Entropy Layer in Real Gas Effects
.............. 410
9.4
Flow Past Blunt Cones
............................... 412
9.5
Bodies of Revolution at Incidence
........................ 421
9.6
Wings with Blunt Edges
.............................. 429
9.7
Wings with Blunt Noses
.............................. 434
9.8
Some Properties of the Three-Dimensional Vortex Layers on
Blunt Bodies
.................................... 437
9.9
Nonuniform
Hypersonic How Past a Yawed Cylinder
............ 442
10
Physicochemical Models of Relaxing Gases
..................... 445
10.1
Formulation of the Problem
............................ 445
10.2
Basic Postulates of the Relaxing Medium Model
................ 446
10.3
Equations of State for Gas Mixtures
....................... 450
10.4
Relaxation Equations and Limiting Flow Regimes
............... 454
10.5
Gas Composition and Basic Reactions
...................... 458
10.6
Entropy and Equilibrium Conditions
...................... 461
10.7
Equilibrium of the Internal Degrees of Freedom: Boltzmann
Distribution
..................................... 468
10.8
Equilibrium of Chemical Reactions and Composition of Gases
........ 472
10.9
Reaction Rates
................................... 476
10.10
Relaxation of Complex Systems
......................... 479
10.11
Relaxation-Reaction Interaction
......................... 482
Contents
vii
10.12 Relaxation
of the Electron Temperature
..................... 487
10.13
Conclusion
..................................... 489
11
Nonequilibrium Gas Flows
............................... 491
11.1
Equations of Nonequilibrium Gas Flows
.................... 491
11.2
Limiting Flow Regimes
.............................. 493
11.2.1
Frozen Flow
................................ 494
11.2.2
Equilibrium Flows
............................ 494
11.2.3
Isentropicity of the Limiting Flows
................... 496
11.2.4
Quasistationary Solutions
........................ 497
11.3
Limiting Speeds of Sound and Their Hierarchy
................ 498
11.4
Speed of the Propagation of Disturbances in Nonequilibrium Gases
.... 503
11.5
Shock Waves and Relaxation Zones
....................... 505
11.5.1
Hypersonic Shocks
............................ 508
11.5.2
Nonequilibrium Shock Waves
..................... 511
11.6
Short Waves and Weak Shocks in Nonequilibrium Gases
........... 512
11.7
Near-Equilibrium Flows and Viscosity-Relaxation Analogy
......... 516
11.8
General Theory of Stationary Waves in Relaxing Media
........... 525
11.9
The Law of Binary Similarity
........................... 535
11.10
Nonequilibrium Flows Past Bodies
....................... 536
11.10.1
Flow Past Sharp Bodies with an Attached Shock
........... 537
11.10.2
Thin Shock Layer in a Hypersonic Flow
................ 538
11.10.3
Stagnation Point on a Blunt Body
.................... 539
11.10.4
Sphere and a Slender
(Θ
= 10°)
Spherically Blunted Cone
...... 543
11.10.5
Bodies in a Nonequilibrium Supersonic Flow
............. 545
11.11
Nozzle and Jet Flows: Hardening Effect
..................... 549
11.12
Thermal Rarefaction Waves
............................ 552
11.13
Sublimation Waves
................................. 557
12
Viscous Flows and Boundary Layers
......................... 563
12.1
Boundary Conditions and Equations of Motion for
Dissipative Viscous Gas Flows
.......................... 563
12.2
Some Exact Solutions of Navier-Stokes Equations
............... 567
12.2.1
General Case Us
=
cxm
.......................... 573
12.3
Parabolization of Incompressible Navier-Stokes Equations
......... 574
12.4
Boundary Layer on a Flat Plate in an Incompressible Flow
.......... 579
12.5
Parabolization of the Compressible Navier-Stokes and
Boundary Layer Equations
............................ 583
12.6
Boundary Layer in a Compressible Gas
..................... 589
12.6.1
Boundary Layer on a Flat Plate (in Particular, on a Wedge
or a Cone in a Supersonic Flow)
..................... 592
12.6.2
Boundary Layer at the Blunt-Body Stagnation Point
......... 595
12.7
Models and Properties of Turbulent Hows
................... 597
12.8
Integral Relations and Approximate Methods:
Boundary Layer on Blunt Bodies
......................... 602
12.9
Viscous-Inviscid Interaction: Basic Effects
................... 612
12.9.1
Displacement Effect
........................... 612
12.9.2
Transverse Curvature Effect
....................... 613
12.9.3
End Effects
................................. 613
12.9.4
External Flow Nonuniformity Effect
.................. 614
12.9.5
Non-Thin (or Spread) Shock Effect
................... 614
viii Contents
12.10
Boundary Layer in
a
Nonuniform
Flow
..................... 616
12.11
Method of Mass-Average Parameters for the Boundary
Layer in
a
Nonuniform
How
........................... 621
12.12
Hypersonic Boundary Layer on Thin Sharp Bodies
.............. 625
12.13
Entropy Effect on Bluff and Thin Blunt Bodies
................. 637
12.14
Flows in Viscous Continuous and Shock Layers
................ 653
12.15
Problems of a Three-Dimensional Boundary Layer
.............. 669
12.15.1
Heat Transfer in a Divergent Flow
................... 673
13
Viscous Flows of Multicomponent Gases
....................... 679
13.1
Physical and Chemical Models of Nonequilibrium Dissipative
Gas Hows
...................................... 679
13.2
Properties of Nonequilibrium Boundary Layers and Viscous
Shock Layers
.................................... 689
13.2.1
Frozen Boundary Layer
......................... 689
13.2.2
Equilibrium Boundary Layer
...................... 690
13.3
Transport Coefficients of Individual Components
............... 699
13.3.1
Thermal Conductivities
......................... 699
13.3.2
Viscosity
.................................. 699
13.3.3
Diffusivities
................................ 701
14
Elements of Radiating Gas Dynamics
......................... 703
14.1
Physics of Gas Radiation
............................. 703
14.2
Radiant Field in Radiating and Absorbing Jets
................. 706
14.3
Flows of Intensely Radiating Gases
....................... 712
14.4
Flows of Nonequilibrium Radiating Gases
................... 717
Bibliography
......................................... 721
Index
.............................................. 727
MECHANICAL ENGINEERING
REAL GAS FLOWS with
HIGH VELOCITIES
Despite generations of change and recent rapid developments in gas
dynamics and hypersonic theory, relevant literature has yet to catch up,
so those in the field are generally forced to rely on dated monographs
to make educated decisions that reflect present-day science.
Written by preeminent Russian aerospace researcher Vladimir Lunev,
Real Gas Flows with High Velocities reflects the most current concepts
of high-velocity gas dynamics. For those in aviation and aerospace, this
is a vital methodical revitalization and reassessment of real gas flows
with regard to the physical and gas dynamic effects related to high-
velociry flight, and, in particular, the entry of bodies into the atmosphere
of Earth and other planets.
Much more than just a manual on gas physics, this book:
•
Analyzes fundamental challenges associated with super- and
subsonic flight
•
Describes the physical properties of gas mixtures and their associated
high-temperature processes from the phenomenological standpoint
•
Explores use of computational mathematics and equipment to
simplify previously
[insolvable
problems of inviseid and viscous
gas dynamics
•
Explain·, why numerical methods remain inferior to analytical
methods for creating a conceptual understanding of gas dynamic
and other physical problems
Avoiding older, cumbersome approximate methods, this reference
outlines the
generai
patterns and features of typical flows and how real
gas affects them. Referencing simple, analytically treatable examples.
similarity laws, and asymptotic analysis, the author omits superfluous
explanations of reasoning. This valuable reference summarizes general
theory of super- and subsonic flow and u^es practical problems to
elon a solid understanding of modern
real
-цлѕ
flows
anu
hisjh-velocin
r (~
Dí-qct
6000
Broken Sound Parkwav NW
r V_ I IcSS Suite
300,
Boca Raton, FL
33487
ylor
&
Francis Group
270
Madison Avenue
informa busne-
New York. NY
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www.crcpress.com
K1DESS
43C
чоаоо
|
| any_adam_object | 1 |
| author | Lunev, Vladimir |
| author_facet | Lunev, Vladimir |
| author_role | aut |
| author_sort | Lunev, Vladimir |
| author_variant | v l vl |
| building | Verbundindex |
| bvnumber | BV035706230 |
| callnumber-first | T - Technology |
| callnumber-label | TL571 |
| callnumber-raw | TL571.5 |
| callnumber-search | TL571.5 |
| callnumber-sort | TL 3571.5 |
| callnumber-subject | TL - Motor Vehicles and Aeronautics |
| classification_rvk | UF 4700 ZO 7230 |
| ctrlnum | (OCoLC)264021705 (DE-599)BVBBV035706230 |
| dewey-full | 629.132/306 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
| dewey-raw | 629.132/306 |
| dewey-search | 629.132/306 |
| dewey-sort | 3629.132 3306 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Verkehr / Transport |
| format | Book |
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| id | DE-604.BV035706230 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:43:52Z |
| institution | BVB |
| isbn | 9781439804650 |
| language | English Russian |
| lccn | 2008048879 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017760068 |
| oclc_num | 264021705 |
| open_access_boolean | |
| owner | DE-634 DE-703 |
| owner_facet | DE-634 DE-703 |
| physical | XV, 735 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | CRC Press |
| record_format | marc |
| spelling | Lunev, Vladimir Verfasser aut Real gas flows with high velocities Vladimir Lunev Boca Raton [u.a.] CRC Press 2009 XV, 735 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Aerodynamics, Hypersonic Gas flow Gasdynamik (DE-588)4019339-1 gnd rswk-swf Hochgeschwindigkeitsaerodynamik (DE-588)4195679-5 gnd rswk-swf Gasdynamik (DE-588)4019339-1 s Hochgeschwindigkeitsaerodynamik (DE-588)4195679-5 s DE-604 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017760068&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017760068&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Lunev, Vladimir Real gas flows with high velocities Aerodynamics, Hypersonic Gas flow Gasdynamik (DE-588)4019339-1 gnd Hochgeschwindigkeitsaerodynamik (DE-588)4195679-5 gnd |
| subject_GND | (DE-588)4019339-1 (DE-588)4195679-5 |
| title | Real gas flows with high velocities |
| title_auth | Real gas flows with high velocities |
| title_exact_search | Real gas flows with high velocities |
| title_full | Real gas flows with high velocities Vladimir Lunev |
| title_fullStr | Real gas flows with high velocities Vladimir Lunev |
| title_full_unstemmed | Real gas flows with high velocities Vladimir Lunev |
| title_short | Real gas flows with high velocities |
| title_sort | real gas flows with high velocities |
| topic | Aerodynamics, Hypersonic Gas flow Gasdynamik (DE-588)4019339-1 gnd Hochgeschwindigkeitsaerodynamik (DE-588)4195679-5 gnd |
| topic_facet | Aerodynamics, Hypersonic Gas flow Gasdynamik Hochgeschwindigkeitsaerodynamik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017760068&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017760068&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT lunevvladimir realgasflowswithhighvelocities |