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Theoretical fluid mechanics /

Theoretical Fluid Mechanics' has been written to aid physics students who wish to pursue a course of self-study in fluid mechanics. It is a comprehensive, completely self-contained text with equations of fluid mechanics derived from first principles, and any required advanced mathematics is eit...

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Detalles Bibliográficos
Clasificación:	Libro Electrónico
Autor principal:	Fitzpatrick, Richard, 1963- (Autor)
Formato:	Electrónico eBook
Idioma:	Inglés
Publicado:	Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2017]
Colección:	IOP (Series). Release 4. IOP expanding physics.
Temas:	Fluid mechanics. SCIENCE / Mechanics / Fluids.
Acceso en línea:	Texto completo

Tabla de Contenidos:

1. Mathematical models of fluid motion
1.1. Introduction
1.2. What is a fluid?
1.3. Volume and surface forces
1.4. General properties of the stress tensor
1.5. Stress tensor in a static fluid
1.6. Stress tensor in a moving fluid
1.7. Viscosity
1.8. Conservation laws
1.9. Mass conservation
1.10. Convective time derivative
1.11. Momentum conservation
1.12. Navier-Stokes equation
1.13. Energy conservation
1.14. Equations of incompressible fluidflow
1.15. Equations of compressible fluid flow
1.16. Dimensionless numbers in incompressible flow
1.17. Dimensionless numbers in compressible flow
1.18. Fluid equations in Cartesian coordinates
1.19. Fluid equations in cylindrical coorinates
1.20. Fluid equations in spherical coordinates
1.21. Exercises
2. Hydrostatics
2.1. Introduction
2.2. Hydrostatic pressure
2.3. Buoyancy
2.4. Equilibria of floating bodies
2.5. Vertical stability of floating bodies
2.6. Angular stability of floating bodies
2.7. Determination of metacentric height
2.8. Energy of a floating body
2.9. Curve of buoyancy
2.10. Rotational hydrostatics
2.11. Equilibrium of a rotating liquid body
2.12. Maclaurin spheroids
2.13. Jacobi ellipsoids
2.14. Roche ellipsoids
2.15. Exercises
3. Surface tension
3.1. Introduction
3.2. Young-Laplace equation
3.3. Spherical interfaces
3.4. Capillary length
3.5. Angle of contact
3.6. Jurin's law
3.7. Capillary curves
3.8. Axisymmetric soap-bubbles
3.9. Exercises
4. Incompressible inviscid flow
4.1. Introduction
4.2. Streamlines, stream tubes, and stream filaments
4.3. Bernoulli's theorem
4.4. Euler's momentum theorem
4.5. d'Alembert's paradox
4.6. Flow through an orifice
4.7. Sub-critical and super-critical flow
4.8. Flow over a shallow bump
4.9. Stationary hydraulic jumps
4.10. Tidal bores
4.11. Flow over a broad-crested weir
4.12. Vortex lines, vortex tubes, and vortex filaments
4.13. Circulation and vorticity
4.14. Kelvin's circulation theorem
4.15. Irrotational flow
4.16. Exercises
5. Two-dimensional incompressible inviscid flow
5.1. Introduction
5.2. Two-dimensional flow
5.3. Velocity potentials and stream functions
5.4. Two-dimensional uniform flow
5.5. Two-dimensional sources and sinks
5.6. Two-dimensional vortex filaments
5.7. Two-dimensional irrotational flow in cylindrical coordinates
5.8. Flow past a cylindrical obstacle
5.9. Motion of a submerged cylinder
5.10. Inviscid flow past a semi-infinite wedge
5.11. Inviscid flow over a semi-infinite wedge
5.12. Two-dimensional jets
5.13. Exercises
6. Two-dimensional potential flow
6.1. Introduction
6.2. Complex functions
6.3. Cauchy-Riemann relations
6.4. Complex velocity potential
6.5. Complex velocity
6.6. Method of images
6.7. Conformal maps
6.8. Schwarz-Christoffel theorem
6.9. Free streamline theory
6.10. Complex line integrals
6.11. Blasius' theorem
6.12. Exercises
7. Axisymmetric incompressible inviscid flow
7.1. Introduction
7.2. Axisymmetric flow
7.3. Stokes stream function
7.4. Axisymmetric velocity fields
7.5. Axisymmetric irrotational flow in spherical coordinates
7.6. Uniform flow
7.7. Point sources
7.8. Dipole point sources
7.9. Flow past a spherical obstacle
7.10. Motion of a submerged sphere
7.11. Conformal maps
7.12. Flow around a submerged oblate spheroid
7.13. Flow around a submerged prolate spheroid
7.14. Exercises
8. Incompressible boundary layers
8.1. Introduction
8.2. No-slip condition
8.3. Boundary layer equations
8.4. Self-similar boundary layers
8.5. Boundary layer on a flat plate
8.6. Wake downstream of a flat plate
8.7. Von Kármán momentum integral
8.8. Boundary layer separation
8.9. Criterion for boundary layer separation
8.10. Approximate solutions of boundary layer equations
8.11. Exercises
9. Incompressible aerodynamics
9.1. Introduction
9.2. Kutta-Zhukovskii theorem
9.3. Cylindrical airfoils
9.4. Zhukovskii's hypothesis
9.5. Vortex sheets
9.6. Induced flow
9.7. Three-dimensional airfoils
9.8. Aerodynamic forces
9.9. Ellipsoidal airfoils
9.10. Simple flight problems
9.11. Exercises
10. Incompressible viscous flow
10.1. Introduction
10.2. Flow between parallel plates
10.3. Flow down an inclined plane
10.4. Poiseuille flow
10.5. Taylor-Couette flow
10.6. Flow in slowly-varying channels
10.7. Lubrication theory
10.8. Stokes flow
10.9. Axisymmetric Stokes flow
10.10. Axisymmetric Stokes flow around a solid sphere
10.11. Axisymmetric Stokes flow in and around a fluid sphere
10.12. Exercises
11. Waves in incompressible fluids
11.1. Introduction
11.2. Gravity waves
11.3. Gravity waves in deep water
11.4. Gravity waves in shallow water
11.5. Energy of gravity waves
11.6. Wave drag on ships
11.7. Ship wakes
11.8. Gravity waves in a flowing fluid
11.9. Gravity waves at an interface
11.10. Steady flow over a corrugated bottom
11.11. Surface tension
11.12. Capillary waves
11.13. Capillary waves at an interface
11.14. Wind-driven waves in deep water
11.15. Exercises
12. Terrestrial ocean tides
12.1. Introduction
12.2. Tide-generating potential
12.3. Decomposition of tide-generating potential
12.4. Expansion of tide-generating potential
12.5. Surface harmonics and solid harmonics
12.6. Planetary rotation
12.7. Total gravitational potential
12.8. Planetary response
12.9. Laplace tidal equations
12.10. Harmonics of the forcing term in the Laplace tidal equations
12.11. Response to the equilibrium harmonic
12.12. Global ocean tides
12.13. Non-global ocean tides
12.14. Useful lemma
12.15. Transformation of Laplace tidal equations
12.16. Another useful lemma
12.17. Basis eigenfunctions
12.18. Auxiliary eigenfunctions
12.19. Gyroscopic coefficients
12.20. Proudman equations
12.21. Hemispherical ocean tides
12.22. Exercises
13. Equilibria of compressible fluids
13.1. Introduction
13.2. Isothermal atmosphere
13.3. Adiabatic atmosphere
13.4. Atmospheric stability
13.5. Eddington solar model
13.6. Exercises
14. One-dimensional compressible inviscid flow
14.1. Introduction
14.2. Thermodynamic considerations
14.3. Isentropic flow
14.4. Sound waves
14.5. Bernoulli's theorem
14.6. Mach number
14.7. Sonic flow through a nozzle
14.8. Normal shocks
14.9. Piston-generated shock wave
14.10. Piston-generated expansion wave
14.11. Exercises
15. Two-dimensional compressible inviscid flow
15.1. Introduction
15.2. Oblique shocks
15.3. Supersonic flow in a corner or over a wedge
15.4. Weak oblique shocks
15.5. Supersonic compression by turning
15.6. Supersonic expansion by turning
15.7. Detached shocks
15.8. Shock-expansion theory
15.9. Thin-airfoil theory
15.10. Crocco's theorem
15.11. Homenergic homentropic flow
15.12. Small-perturbation theory
15.13. Subsonic flow past a wave-shaped wall
15.14. Supersonic flow past a wave-shaped wall
15.15. Linearized subsonic flow
15.16. Linearized supersonic flow
15.17. Flat lifting wings
15.18. Exercises
Appendices. A Vectors and vector fields
A.1. Introduction
A.2. Scalars and vectors
A.3. Vector algebra
A.4. Cartesian components of a vector
A.5. Coordinate transformations
A.6. Scalar product
A.7. Vector area
A.8. Vector product
A.9. Rotation
A.10. Scalar triple product
A.11. Vector triple product
A.12. Vector calculus
A.13. Line integrals
A.14. Vector line integrals
A.15. Surface integrals
A.16. Vector surface integrals
A.17. Volume integrals
A.18. Gradient
A.19. Grad operator
A.20. Divergence
A.21. Laplacian operator
A.22. Curl
A.23. Useful vector identities
A.24. Exercises
B. Cartesian tensors
B.1. Introduction
B.2. Tensors and tensor notation
B.3. Tensor transformation
B.4. Tensor fields
B.5. Isotropic tensors
B.6. Exercises
C. Non-Cartesian coordinates
C.1. Introduction
C.2. Orthogonal curvilinear coordinates
C.3. Cylindrical coordinates
C.4. Spherical coordinates
C.5. Exercises
D. Ellipsoidal potential theory
D.1. Introduction
D.2. Analysis
D.3. Exercises
E. Calculus of variations
E.1. Introduction
E.2. Euler-Lagrange equation
E.3. Conditional variation
E.4. Multi-function variation
E.5. Exercises
F. Solutions to exercises in chapter 1
G. Solutions to exercises in chapter 2
H. Solutions to exercises in chapter 3
I. Solutions to exercises in chapter 4
J. Solutions to exercises in chapter 5
K. Solutions to exercises in chapter 6
L. Solutions to exercises in chapter 7
M. Solutions to exercises in chapter 8
N. Solutions to exercises in chapter 9
O. Solutions to exercises in chapter 10
P. Solutions to exercises in chapter 11
Q. Solutions to exercises in chapter 12
R. Solutions to exercises in chapter 13
S. Solutions to exercises in chapter 14
T. Solutions to exercises in chapter 15
U. Solutions to exercises in appendix A
V. Solutions to exercises in appendix B
W. Solutions to exercises in appendix C
X. Solutions to exercises in appendix D
Y. Solutions to exercises in appendix E.

Theoretical fluid mechanics /

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