Fluid Dynamics / Strömungsmechanik
(Sprache: Englisch, Deutsch)
Sect 2. 317 tinuity surfaces 1. This suggests that a wake pressure Pw be associated with each flow past a bluff body, and that a wake parameter (2. 4) which plays the same role as the cavitation parameter (2. 1), be defined for the flow. This idea has been...
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Klappentext zu „Fluid Dynamics / Strömungsmechanik “
Sect 2. 317 tinuity surfaces 1. This suggests that a wake pressure Pw be associated with each flow past a bluff body, and that a wake parameter (2. 4) which plays the same role as the cavitation parameter (2. 1), be defined for the flow. This idea has been made the basis of a modified wake theory (ef. Sect. 11) which proves to be in good qu- titative agreement with pressure and drag measurements. It should be emphasized, however, that un h like the cavitation number, the wake parameter is a quantity which is not known a priori, and must be empirically determined in each case. (3) Jet flows. The problem of jet efflux from an orifice is one of the oldest in hydrodynamics and the first to be treated by Fig. 3a. the HELMHOLTZ free streamline theory. Of particular importance for engineering applications is the discharge coefficient Cd' which is defined in terms of the discharge Q per unit time, the pressure P, and the cross-sectional area A of the orifice, by the formula, (2. 5) where e is the fluid density. Two methods of measuring Cd have been most fre quently adopted. In the first the liquid issues from an orifice in a large vessel under the influence of gravity _,-____________ . , (Fig. 3 a), while in the second it 1 L is forced out of a nozzle or pipe under high pressure (Fig. 3 b).
Inhaltsverzeichnis zu „Fluid Dynamics / Strömungsmechanik “
- Analytical Theory of Subsonic and Supersonic FlowsI. Physical and mathematical foundations
II. Linearized theory
III. The hodograph method
IV. The analytical theory of two-dimensional subsonic flows
V. The analytical theory of two-dimensional transonic flows
- General references and textbooks
- Théorie des ondes de choc
A. Les équations des phénomènes de choc
a) Introduction
b) Démonstration des équations des phénomènes de choc
c) Chocs stationnaires dans les écoulements uniformes
B. Les ondes de choc dans les écoulements stationnaires
I. La formation des ondes de choc
II. Les ondes de choc détachées
III. Les ondes de choc attachées dans les écoulements plans
a) Etude des chocs uniformes
b) Ecoulement autour d'un obstacle terminé par un dièdre
c) Ecoulement autour d'une ogive
IV. Les ondes de choc attachées dans les écoulements à trois dimensions
a) Ecoulements coniques de révolution
b) Ecoulements de révolution
c) Ecoulements coniques
C. Les ondes de choc dans les écoulements non stationnaires
I. Formation et propagation des ondes de choc planes
a) Etude des chocs uniformes
b) Exemples de chocs non uniformes
c) La formation des chocs dans les tuyères
II. Rencontre d'une onde de choc plane et d'un dièdre
a) Cas de la réflexion régulière
b) Cas de la réflexion de Mach
c) Etude de l'écoulement après le choc
III. Etude des ondes de choc sphériques
IV. Etude des translations rectilignes de vitesse variable
- Annexe. Propagation des chocs dans les gaz ionisés
- Bibliographie
- Theory of Characteristics of Inviscid Gas Dynamics
A. Introduction
B. One-dimensional unsteady motion
I. Homentropic motion
a) Characteristic equations and simple waves
b) Structure of the motion
c) Solution of the general wave-interaction problem
II. Motion with entropy variation
C. Steady two-dimensional supersonic flow
I. Homentropic irrotational flow
a) Characteristic equations and simple waves
b) Structure of the flow
c) Analytical solution
... mehr
methods
II. Flow with entropy variation
D. Steady axially symmetrical supersonic flow
- References
- Linearized Theory of Unsteady Flow of a Compressible Fluid
I. Formulation of the problem
II. Explicit solutions
a) Subsonic case
b) Applications
III. The method of integral equations
IV. Reciprocity relations
- References
- Jets and Cavities
I. Physical and mathematical foundations
II. Particular flows
a) The hodograph method
b) The method of reflection
c) Inverse and semi-inverse solutions
d) Approximate theories
III. Qualitative theory
a) Geometric properties of free streamlines
b) Comparison methods
c) Variational principles
IV. Existence and uniqueness theory
a) Existence theory
b) Uniqueness theory
V. Numerical methods
a) Plane flows past curved obstacles
b) Axially symmetric flows
- General references
- Surface Waves
A. Introduction
B. Mathematical formulation
1. Coordinate systems and conventions
2. Equations of motion
3. Boundary conditions at an interface
4. Boundary conditions on rigid surfaces
5. Other types of boundary surfaces
C. Preliminary remarks and developments
6. Classification of problems
7. Progressive waves and wave velocity-standing waves
8. Energy
9. Momentum
10. Expansion of solutions in powers of a parameter
D. Theory of infinitesimal waves
11. The fundamental equations
12. Other boundary conditions
13. Some mathematical solutions
14. Some simple physical solutions
15. Group velocity and the propagation of disturbances and of energy
16. The solution of special boundary problems
17. Two-dimensional progressive and standing waves in unbounded regions with fixed boundaries
18. Three-dimensional progressive and standing waves in unbounded regions with fixed boundaries
19. Problems with steadily oscillating boundaries
20. Motions which may be treated as steady flows
21. Waves resulting from pressure distributions
22. Initial-value problems
23. Waves in basins of bounded extent
24. Gravity waves in the presence of surface tension
25. Waves in a viscous fluid
26. Stability of free surfaces and interfaces
27. Higher-order theory of infinitesimal waves
E. Shallow-water waves
28. The fundamental equations for the first approximation
29. The linearized shallow-water theory
30. Nonlinear shallow-water theory
31. Higher-order theories and the solitary and cnoidal waves
F. Exact solutions
32. Some general theorems
33. Waves of maximum amplitude
34. Explicit solutions
35. Existence theorems
G. Bibliography
- Sachverzeichnis (Deutsch-Englisch)
- Subject Index (English-German)
- Table des matières (Français)
II. Flow with entropy variation
D. Steady axially symmetrical supersonic flow
- References
- Linearized Theory of Unsteady Flow of a Compressible Fluid
I. Formulation of the problem
II. Explicit solutions
a) Subsonic case
b) Applications
III. The method of integral equations
IV. Reciprocity relations
- References
- Jets and Cavities
I. Physical and mathematical foundations
II. Particular flows
a) The hodograph method
b) The method of reflection
c) Inverse and semi-inverse solutions
d) Approximate theories
III. Qualitative theory
a) Geometric properties of free streamlines
b) Comparison methods
c) Variational principles
IV. Existence and uniqueness theory
a) Existence theory
b) Uniqueness theory
V. Numerical methods
a) Plane flows past curved obstacles
b) Axially symmetric flows
- General references
- Surface Waves
A. Introduction
B. Mathematical formulation
1. Coordinate systems and conventions
2. Equations of motion
3. Boundary conditions at an interface
4. Boundary conditions on rigid surfaces
5. Other types of boundary surfaces
C. Preliminary remarks and developments
6. Classification of problems
7. Progressive waves and wave velocity-standing waves
8. Energy
9. Momentum
10. Expansion of solutions in powers of a parameter
D. Theory of infinitesimal waves
11. The fundamental equations
12. Other boundary conditions
13. Some mathematical solutions
14. Some simple physical solutions
15. Group velocity and the propagation of disturbances and of energy
16. The solution of special boundary problems
17. Two-dimensional progressive and standing waves in unbounded regions with fixed boundaries
18. Three-dimensional progressive and standing waves in unbounded regions with fixed boundaries
19. Problems with steadily oscillating boundaries
20. Motions which may be treated as steady flows
21. Waves resulting from pressure distributions
22. Initial-value problems
23. Waves in basins of bounded extent
24. Gravity waves in the presence of surface tension
25. Waves in a viscous fluid
26. Stability of free surfaces and interfaces
27. Higher-order theory of infinitesimal waves
E. Shallow-water waves
28. The fundamental equations for the first approximation
29. The linearized shallow-water theory
30. Nonlinear shallow-water theory
31. Higher-order theories and the solitary and cnoidal waves
F. Exact solutions
32. Some general theorems
33. Waves of maximum amplitude
34. Explicit solutions
35. Existence theorems
G. Bibliography
- Sachverzeichnis (Deutsch-Englisch)
- Subject Index (English-German)
- Table des matières (Français)
... weniger
Bibliographische Angaben
- 2012, Softcover reprint of the original 1st ed. 1960, VIII, 816 Seiten, 248 Abbildungen, Masse: 17 x 24,4 cm, Kartoniert (TB), Deutsch/Englisch
- Herausgegeben: C. A. Truesdell
- Verlag: Springer, Berlin
- ISBN-10: 3642459463
- ISBN-13: 9783642459467
Sprache:
Englisch, Deutsch
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