An introduction to theoretical fluid mechanics:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
New York, NY
Courant Inst. of Math. Sciences [u.a.]
2009
|
| Schriftenreihe: | Courant lecture notes in mathematics
19 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018882365&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | X, 201 S. graph. Darst. |
| ISBN: | 9780821848883 |
Internformat
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 941-19 |
|---|---|
| DE-BY-TUM_katkey | 1868591 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040071421799 |
| _version_ | 1821935033116524544 |
| adam_text | Titel: An introduction to theoretical fluid mechanics
Autor: Childress, Stephen
Jahr: 2009
Contents
Preface ix
Chapter 1. The Fluid Continuum 1
1.1. Eulerian and Lagrangian Descriptions 1
1.2. The Material Derivative 6
Problem Set 1 10
Chapter 2. Conservation of Mass and Momentum 13
2.1. Conservation of Mass 13
2.2. Conservation of Momentum in an Ideal Fluid 16
2.3. Steady Flow of a Fluid of Constant Density 18
2.4. Intrinsic Coordinates in Steady Flow 20
2.5. Potential Flows with Constant Density 21
2.6. Boundary Conditions on an Ideal Fluid 22
Problem Set 2 24
Chapter 3. Vorticity 27
3.1. Local Analysis of the Velocity Field 27
3.2. Circulation 29
3.3. Kelvin s Theorem for a Barotropic Fluid 30
3.4. The Vorticity Equation 30
3.5. Helmholtz Laws 32
3.6. The Velocity Field Created by a Given Vorticity Field 33
3.7. Some Examples of Vortical Flows 35
Problem Set 3 41
Chapter 4. Potential Flow 45
4.1. Harmonic Flows 45
4.2. Flows in Three Dimensions 51
4.3. Apparent Mass and the Dynamics of a Body in a Fluid 57
4.4. Deformable Bodies and Their Locomotion 62
4.5. Drift 65
Problem Set 4 70
Chapter 5. Lift and Drag in Ideal Fluids 73
5.1. Lift in Two Dimensions and the Kutta-Joukowski Condition 74
5.2. Smoothing the Leading Edge: Joukowski Airfoils 77
5.3. Unsteady and Quasi-Steady Motion of an Airfoil 79
vi CONTENTS
5.4. Drag in Two-Dimensional Ideal Flow 81
5.5. The Three-Dimensional Wing: PrandtFs Lifting Line Theory 88
Problem Set 5 94
Chapter 6. Viscosity and the Navier-Stokes Equations 97
6.1. The Newtonian Stress Tensor 97
6.2. Some Examples of Incompressible Viscous Flow 101
6.3. Dynamical Similarity 106
Problem Set 6 109
Chapter 7. Stokes Flow 111
7.1. Solutions of the Stokes Equations 113
7.2. Uniqueness of Stokes Flows 114
7.3. The Stokes Solution for Uniform Flow Past a Sphere 114
7.4. Two Dimensions: Stokes Paradox 117
7.5. Time Reversibility in Stokes Flow 119
7.6. Stokesian Locomotion and the Scallop Theorem 121
Problem Set 7 121
Chapter 8. The Boundary Layer 123
8.1. The Limit of Large Re 123
8.2
8.3
8.4
8.5
Blasius Solution for a Semi-Infinite Flat Plate 125
Boundary Layer Analysis as a Matching Problem 132
Separation 133
Prandtl-Batchelor Theory 134
Problem Set 8 137
Chapter 9. Energy 139
9.1. Mechanical Energy 139
9.2. Elements of Classical Thermodynamics 141
9.3. The Energy Equation 143
9.4. Some Basic Relations for the Nondissipative Case 145
9.5. Kelvin s Theorem in a Compressible Medium 146
Problem Set 9 149
Chapter 10. Sound 151
10.1. One-Dimensional Waves 151
10.2. The Fundamental Solution in Three Dimensions 152
10.3. Kirchhoff s Solution 153
10.4. Weakly Nonlinear Acoustics in One Dimension 155
Problem Set 10 158
Chapter 11. Gas Dynamics 161
11.1. Nonlinear Waves in One Dimension 161
11.2. Dynamics of a Polytropic Gas 162
11.3. Simple Waves 163
11.4. Linearized Supersonic Flow 166
CONTENTS vii
11.5. Alternative Formulation and Proof of the Drag Formula 171
11.6. Transonic Flow 173
Problem Set 11 174
Chapter 12. Shock Waves 175
12.1. Scalar Case 175
12.2. Quasi-linear Supersonic Flow 177
12.3. The Stationary Normal Shock Wave 178
12.4. Riemann s Problem: The Shock Tube 183
Problem Set 12 186
Supplementary Notes 189
Bibliography 195
Index 197
|
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| dewey-full | 532.001 |
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| dewey-ones | 532 - Fluid mechanics |
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| discipline | Physik Mathematik |
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| indexdate | 2024-12-20T14:04:33Z |
| institution | BVB |
| isbn | 9780821848883 |
| language | English |
| lccn | 2009028622 |
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| publishDate | 2009 |
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| publishDateSort | 2009 |
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| series | Courant lecture notes in mathematics |
| series2 | Courant lecture notes in mathematics |
| spellingShingle | Childress, Stephen An introduction to theoretical fluid mechanics Courant lecture notes in mathematics Fluid mechanics Strömungsmechanik (DE-588)4077970-1 gnd |
| subject_GND | (DE-588)4077970-1 |
| title | An introduction to theoretical fluid mechanics |
| title_auth | An introduction to theoretical fluid mechanics |
| title_exact_search | An introduction to theoretical fluid mechanics |
| title_full | An introduction to theoretical fluid mechanics Stephen Childress |
| title_fullStr | An introduction to theoretical fluid mechanics Stephen Childress |
| title_full_unstemmed | An introduction to theoretical fluid mechanics Stephen Childress |
| title_short | An introduction to theoretical fluid mechanics |
| title_sort | an introduction to theoretical fluid mechanics |
| topic | Fluid mechanics Strömungsmechanik (DE-588)4077970-1 gnd |
| topic_facet | Fluid mechanics Strömungsmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018882365&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 B 941-19
Lageplan |
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| Exemplar 1 | Ausleihbar Am Standort |