Analytical fluid dynamics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton ; London ; New York
CRC Press
[2016]
|
| Ausgabe: | Third edition |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | xvii, 631 Seiten Diagramme |
| ISBN: | 9781498715690 1498715699 9781498715706 |
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Datensatz im Suchindex
| _version_ | 1804176093643538432 |
|---|---|
| adam_text | Contents
Preface............................................................................................xv
Author...........................................................................................xvii
Section I Basic Concepts
1 Background Discussion...........................................................................3
1.1 Preliminary Remarks........................................................................3
1.2 Euler and Lagrange Formulations............................................................3
1.3 Stress Tensor..............................................................................9
1.4 Relation between Stress and Deformation-Rate Tensors......................................11
1.5 Constitutive Relations....................................................................13
1.6 Integral Relations........................................................................15
Problems.......................................................................................17
References.....................................................................................18
2 Conservation Equations.........................................................................19
2.1 Preliminary Remarks.......................................................................19
2.2 Mass Equation.............................................................................19
2.3 Transport Theorem.........................................................................20
2.4 Linear Momentum Equation..................................................................20
2.5 Inertial Frame............................................................................21
2.6 Angular Momentum Equation.................................................................23
2.7 Energy Equation...........................................................................24
2.8 Viscous Dissipation.......................................................................25
2.9 Alternate Forms for the Energy Equation...................................................26
Problems.......................................................................................28
Reference......................................................................................30
3 Classical Thermodynamics.......................................................................31
3.1 Preliminary Remarks.......................................................................31
3.2 Combined First and Second Laws............................................................31
3.3 Potential Functions.......................................................................33
3.4 Open System...............................................................................34
3.5 Coupling to Fluid Dynamics................................................................37
3.6 Compressible Liquid or Solid..............................................................43
3.7 Second Law................................................................................44
3.8 Rarefaction Shock Wave....................................................................49
Problems.......................................................................................50
References.....................................................................................53
4 Kinematics.....................................................................................55
4.1 Preliminary Remarks.......................................................................55
4.2 Definitions...............................................................................55
4.3 Kelvin s Equation and Vorticity...........................................................58
4.4 Helmholtz Vortex Theorems.................................................................59
Problems.......................................................................................61
Reference......................................................................................62
Contents
via
Section II Advanced Gas Dynamics
5 Euler Equations..................................................................................65
5.1 Preliminary Remarks..........................................................................65
5.2 Equations: Initial and Boundary Conditions...................................................65
5.3 Bernoulli s Equations........................................................................67
5.4 Vorticity....................................................................................69
5.5 Steady Flow..................................................................................71
5.6 Two-Dimensional or Axisymmetric Flow..................................72
5.7 Intrinsic Coordinates........................................................................76
Problems.........................................................................................79
References.......................................................................................64
6 Shock Wave Dynamics................................................................................65
6.1 Preliminary Remarks..........................................................................65
6.2 jump Conditions..............................................................................66
6.3 Steady Two-Dimensional or Axisymmetric Flow..................................................92
6.4 Derivatives for a Two-Dimensional or Axisymmetric Shock with a Uniform Freestream............99
6.5 Derivative Applications.....................................................................102
Problems.........................................................................................H6
References.......................................................................................115
7 Vorticity and Its Substantial Derivative.........................................................117
7.1 Preliminary Remarks.........................................................................117
7.2 Vorticity...................................................................................117
7.3 Substantial Derivative of the Vorticity.....................................................119
7.4 Generic Shock Shape.........................................................................120
7.5 Slope, Curvature, Arc Length, and Sonic Point...............................................121
7.6 Results.....................................................................................122
Problems.........................................................................................126
References.......................................................................................127
8 Shock Wave Triple-Point Morphology..............................................................129
8.1 Preliminary Remarks.........................................................................129
8.2 Analysis....................................................................................131
8.3 Solution Method.............................................................................134
8.4 Normal Mach Stem or Reflected Shocks........................................................135
8.5 Results and Discussion......................................................................139
Problems.........................................................................................144
References.......................................................................................144
9 Derivatives When the Upstream Flow Is Nonuniform.................................................147
9.1 Preliminary Remarks.........................................................................147
9.2 Jump Conditions.............................................................................148
9.3 Tangential Derivatives......................................................................148
9.4 Normal Derivatives..........................................................................149
9.5 Intrinsic Coordinate Derivatives............................................................151
9.6 Vorticity...................................................................................151
9.7 Source Flow Model...........................................................................152
Problems.........................................................................................155
Reference........................................................................................155
Contents
IX
10 General Derivative Formulation.................................................................... 157
10.1 Preliminary Remarks.........................................................................157
10.2 Vector Relations............................................................................157
10.3 Elliptic Paraboloid Shock...................................................................159
10.4 Shock Curvatures............................................................................160
10.5 Vorticity 1.................................................................................162
10.6 Jump Conditions and Tangential Derivatives..................................................164
10.7 Normal Derivatives..........................................................................165
10.8 Applications................................................................................169
10.9 Unsteady Normal Derivative Formulation......................................................171
10.10 SMR and Ray Scaling........................................................................173
10.11 Unsteady Intrinsic Coordinate Derivatives..................................................178
10.12 Vorticity II...............................................................................181
Problems....................................................................................... 186
References.......................................................................................186
11 Extended Navier-Stokes Equations, Ultrasonic Absorption, and Shock Structure.....................187
11.1 Preliminary Remarks....................................................................... 187
11.2 Newtonian and Stokesian Fluids..............................................................189
11.3 Viscous Dissipation.........................................................................192
11.4 Laminar Flow................................................................................193
11.5 Unsteady One-Dimensional Flow...............................................................193
11.6 Shock Wave Structure........................................................................195
Problems.........................................................................................199
References.......................................................................................199
12 Hodograph Transformation and Limit Lines.........................................................201
12.1 Preliminary Remarks.........................................................................201
12.2 Two-Dimensional, Irrotational Flow..........................................................202
12.3 Ringleb s Solution..........................................................................207
12.4 Limit Lines.................................................................................214
12.5 General Solution............................................................................214
12.6 Rotational Flow.............................................................................219
Problems.........................................................................................222
References.......................................................................................223
13 Substitution Principle...........................................................................225
13.1 Preliminary Remarks.........................................................................225
13.2 Transformation Equations....................................................................225
13.3 Parallel Flow...............................................................................229
13.4 Prandtl-Meyer Flow..........................................................................231
13.5 Rotational Solutions in the Hodograph Plane.................................................234
Problems.........................................................................................236
References.......................................................................................238
14 Calorically Imperfect Flows......................................................................241
14.1 Preliminary Remarks.........................................................................241
14.2 Thermodynamics..............................................................................242
14.3 Isentropic Streamtube Flow..................................................................243
14.4 Planar Shock Flow...........................................................................250
14.5 Prandtl-Meyer Flow..........................................................................254
14.6 Taylor-Maceoll Flow.........................................................................257
Problems.........................................................................................261
References.......................................................................................262
x Contents
15 Sweep..........................................................................................263
15.1 Preliminary Remarks........................................................................263
15.2 Oblique Shock Flow.........................................................................263
15.3 Prandtl-Meyer Flow.........................................................................269
Problems.........................................................................................276
References.......................................................................................277
16 Interaction of an Expansion Wave with a Shock Wave and a Shock Wave Curvature....................279
16.1 Preliminary Remarks........................................................................279
16.2 Flow Topology..............................................................................281
16.3 Solution for Regions I, II, and III........................................................283
16.4 Curvature Singularity......................................................................284
16.5 Numerical Procedure........................................................................285
16.6 Shock Wave with Longitudinal Curvature Sign Change.........................................288
Problems.........................................................................................292
References.......................................................................................292
17 Unsteady One-Dimensional Flow....................................................................295
17.1 Preliminary Remarks........................................................................295
17.2 Incident Normal Shock Waves................................................................295
17.3 Reflected Normal Shock Waves...............................................................299
17.4 Characteristic Theory......................................................................301
17.5 Rarefaction Waves..........................................................................305
17.6 Compression Waves..........................................................................316
17.7 Internal Ballistics........................................................................319
17.8 Nonsimple Wave Region......................................................................324
Problems.........................................................................................338
References.......................................................................................342
18 Supersonic Diffusers.............................................................................343
18.1 Preliminary Remarks........................................................................343
18.2 General Discussion.........................................................................345
18.3 Prandtl-Meyer Diffuser.....................................................................348
18.4 Lens-Analogy Diffuser.....................................................................355
18.5 Results and Discussion....................................................................362
Problems.......................................................................................368
References.....................................................................................369
Section III Viscous/Inviscid Fluid Dynamics
19 Coordinate Systems and Related Topics..................................................... 373
19.1 Preliminary Remarks....................................................................373
19.2 Orthogonal Coordinates.................................................................373
19.3 Similarity Parameters..................................................................376
19.4 Bulk Viscosity.........................................................................378
19.5 Viscous Flow in a Heated Duct..........................................................380
Problems....................................................................................385
References..................................................................................388
20 Force and Moment Analysis...................................................................389
20.1 Preliminary Remarks....................................................................389
20.2 Momentum Theorem.......................................................................389
20.3 Surface Integral.......................................................................391
Contents xi
20.4 Angular Momentum.........................................................................394
20.5 Hydrostatics.............................................................................394
20.6 Flow in a Duct...........................................................................395
20.7 Acyclic Motion...........................................................................396
20.8 Jet-Plate Interaction....................................................................397
20.9 Syringe with a Hypodermic Needle.........................................................399
20.10 Shock-Expansion Theory..................................................................400
20.11 Forces on a Particle....................................................................405
20.12 Entropy Generation......................................................................408
20.13 Forces and Moments on a Supersonic Vehicle..............................................412
20.14 Lift and Thrust of an Asymmetric Nozzle.................................................416
Problems.......................................................................................423
References.....................................................................................426
Section IV Exact Solutions for a Viscous Flow
21 Rayleigh Flow.................................................................................431
21.1 Preliminary Remarks......................................................................431
21.2 Solution.................................................................................432
Problems.......................................................................................435
References.....................................................................................435
22 Couette Flow..................................................................................437
22.1 Preliminary Remarks......................................................................437
22.2 Solution.................................................................................438
22.3 Adiabatic Wall...........................................................................440
Problems.......................................................................................441
Reference......................................................................................442
23 Stagnation Point Flow.........................................................................443
23.1 Preliminary Remarks......................................................................443
23.2 Formulation..............................................................................443
23.3 Velocity Solution........................................................................446
23.4 Temperature Solution.....................................................................448
Problems.......................................................................................450
Reference......................................................................................450
Section V Laminar Boundary-Layer Theory for Steady
Two-Dimensional or Axisymmetric Flow
24 Incompressible Flow over a Flat Plate.........................................................453
24.1 Preliminary Remarks......................................................................453
24.2 Derivation of the Boundary-Layer Equations...............................................453
24.3 Similarity Solution......................................................................455
Problems.......................................................................................457
References.....................................................................................458
25 Large Reynolds Number Flow....................................................................459
25.1 Preliminary Remarks......................................................................459
25.2 Matched Asymptotic Expansions............................................................465
25.3 Governing Equations in Body-Oriented Coordinates.........................................466
Problems.......................................................................................467
References.....................................................................................468
Xll
Contents
26 Incompressible Boundary-Layer Theory..........................................................469
26.1 Preliminary Remarks.....................................................................469
26.2 Primitive Variable Formulation..........................................................469
26.3 Solution of the Boundary-Layer Equations................................................470
Problems......................................................................................474
References....................................................................................475
27 Compressible Boundary-Layer Theory............................................................477
27.1 Preliminary Remarks.....................................................................477
27.2 Boundary-Layer Equations................................................................478
27.3 Solution of the Similarity Equations.................................................. 481
27.4 Solution of the Energy Equation.........................................................483
27.5 The (3 and gw Parameters................................................................484
27.6 Local Similarity........................................................................486
27.7 Boundary-Layer Parameters...............................................................487
27.8 Comprehensive Tables................................................................ 492
27.9 Adiabatic Wall..........................................................................499
27.10 Critique of the Prandtl Number and Chapman-Rubesin Parameter Assumptions...............500
27.11 Nonsimilar Boundary Layers: 1..........................................................506
27.12 Nonsimilar Boundary Layers: II.........................................................507
Problems......................................................................................514
References....................................................................................516
28 Supersonic Boundary-Layer Examples..........................................................519
28.1 Preliminary Remarks.....................................................................519
28.2 Thin Airfoil Theory.....................................................................519
28.3 Compressive Ramp........................................................................522
28.4 Zero Displacement Thickness Wall Shape..................................................525
28.5 Performance of a Scramjet Propulsion Nozzle.............................................527
Problems......................................................................................530
References....................................................................................532
29 Second-Order Boundary-Layer Theory..........................................................533
29.1 Preliminary Remarks.....................................................................533
29.2 Inner Equations.........................................................................536
29.3 Outer Equations.........................................................................540
29.4 Boundary and Matching Conditions........................................................543
29.5 Decomposition of the Second-Order Boundary-Layer Equations..............................546
29.6 Example: First-Order Solution...........................................................551
29.7 Example: Second-Order Outer Solution....................................................553
29.8 Example: Second-Order Inner Equations...................................................555
29.9 Appendix R..............................................................................559
Problems.................................................................................... 563
References................................................................................ 564
Appendix A: Summary of Equations from Vector and Tensor Analysis................................567
Appendix B: Jacobian Theory.....................................................................575
Appendix C: Oblique Shock Wave Angle............................................................581
Appendix D: Conditions on the Downstream Side of a Steady 2D or Axisymmetric Shock with
a Uniform Freestream................................................................583
Appendix E: Method of Characteristics for a Single, First-Order Partial Differential Equation...585
Appendix F: Conditions on the Downstream Side of a 2D or Axisymmetric Shock When the
Upstream Flow Is Nonuniform.........................................................589
Contents xiii
Appendix G: Operator Formulation...............................................................591
Appendix H: Steady Shock Derivative Formulation.....................................................593
Appendix I: Uniform Freestream Formulation.....................................................595
Appendix J: Elliptic Paraboloid Shock Formulation...................................................597
Appendix K: Global, Shock-Based Coordinates....................................................601
Appendix L: Unsteady State 2 Parameters.............................................................605
Appendix M: Axisymmetric Lens-Analogy Formulation..............................................607
Appendix N: Mach Number Functions, Their Derivatives, and Gas Dynamic Relations.....................609
Appendix O: Conservation and Vector Equations in Orthogonal Curvilinear Coordinates §f..............611
Appendix P: Conservation Equations in Body-Oriented Coordinates................................613
Appendix Q: Summary of Compressible, Similar Boundary-Layer Equations..........................615
Appendix R: Second-Order Boundary-Layer Equations for Supersonic, Rotational Flow over a Flat Plate.619
Index..........................................................................................621
An in-depth presentation of analytical methods and physical foundations, Analytical Fluid
Dynamics, Third Edition breaks down the how and why of fluid dynamics. While continuing
to cover the most fundamental topics in fluid mechanics, this latest work emphasizes advanced
analytical approaches to aid in the analytical process and corresponding physical interpretation.
It also addresses the need for a more flexible mathematical language (utilizing vector and tensor
analysis and transformation theory) to cover the growing complexity of fluid dynamics.
Revised and updated, the text centers on shock wave structure, shock wave derivatives, and
shock-produced vorticity; supersonic diffusers; thrust and lift from an asymmetric nozzle; and
outlines operator methods and laminar boundary-layer theory. In addition, the discussion in-
troduces pertinent assumptions, reasons for studying a particular topic, background discussion,
illustrative examples, and numerous end-of-chapter problems.
Utilizing a wide variety of topics on inviscid and viscous fluid dynamics, the author covers material
that includes:
• Viscous dissipation
• The second law of thermodynamics
• Calorically imperfect gas flows
• Aerodynamic sweep
• Shock wave interference
• Unsteady one-dimensional flow
• Internal ballistics
• Force and momentum balance
• The Substitution Principle
• Rarefaction shock waves
• A comprehensive treatment of flow property derivatives just downstream of an unsteady
three-dimensional shock
• Shock-generated vorticity
• Triple points
• An extended version of the Navier-Stokes equations
• Shock-free supersonic diffusers
• Lift and thrust from an asymmetric nozzle
Analytical Fluid Dynamics, Third Edition outlines the basics of analytical fluid mechanics while
emphasizing analytical approaches to fluid dynamics. Covering the material in-depth, this book
provides an authoritative interpretation of formulations and procedures in analytical fluid
dynamics, and offers analytical solutions to fluid dynamic problems.
|
| any_adam_object | 1 |
| author | Emanuel, George |
| author_facet | Emanuel, George |
| author_role | aut |
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| bvnumber | BV043474313 |
| classification_rvk | UF 4000 |
| ctrlnum | (OCoLC)933749151 (DE-599)BVBBV043474313 |
| dewey-full | 532.05 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532.05 |
| dewey-search | 532.05 |
| dewey-sort | 3532.05 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | Third edition |
| format | Book |
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| id | DE-604.BV043474313 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:26:42Z |
| institution | BVB |
| isbn | 9781498715690 1498715699 9781498715706 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028891226 |
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| owner_facet | DE-703 DE-83 DE-706 |
| physical | xvii, 631 Seiten Diagramme |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | CRC Press |
| record_format | marc |
| spelling | Emanuel, George Verfasser aut Analytical fluid dynamics George Emanuel Third edition Boca Raton ; London ; New York CRC Press [2016] xvii, 631 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Fluid dynamics Fluid dynamics fast Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Hydrodynamik (DE-588)4026302-2 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 s DE-604 Hydrodynamik (DE-588)4026302-2 s 1\p DE-604 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028891226&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028891226&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Emanuel, George Analytical fluid dynamics Fluid dynamics Fluid dynamics fast Strömungsmechanik (DE-588)4077970-1 gnd Hydrodynamik (DE-588)4026302-2 gnd |
| subject_GND | (DE-588)4077970-1 (DE-588)4026302-2 |
| title | Analytical fluid dynamics |
| title_auth | Analytical fluid dynamics |
| title_exact_search | Analytical fluid dynamics |
| title_full | Analytical fluid dynamics George Emanuel |
| title_fullStr | Analytical fluid dynamics George Emanuel |
| title_full_unstemmed | Analytical fluid dynamics George Emanuel |
| title_short | Analytical fluid dynamics |
| title_sort | analytical fluid dynamics |
| topic | Fluid dynamics Fluid dynamics fast Strömungsmechanik (DE-588)4077970-1 gnd Hydrodynamik (DE-588)4026302-2 gnd |
| topic_facet | Fluid dynamics Strömungsmechanik Hydrodynamik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028891226&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=028891226&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT emanuelgeorge analyticalfluiddynamics |