Turbulence and random processes in fluid mechanics /
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| Author / Creator: | Landahl, Mårten |
|---|---|
| Edition: | 2nd ed. |
| Imprint: | Cambridge ; New York : Cambridge University Press, 1992. |
| Description: | xii, 168 p. : ill. ; 23 cm. |
| Language: | English |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/1369267 |
Table of Contents:
- Preface to the second edition
- Preface to the first edition
- 1. Introduction with historical notes
- 2. Characteristic scales and nondimensional parameters
- 3. Basic equations
- Equations of motion
- Averaged equations
- Stability and turbulent energy
- 4. Statistical tools for description of turbulence
- Ensemble averages
- Joint moment, covariance
- Stationary random functions
- Properties of the time autocovariances
- Joint covariance
- Spectra and cross spectra
- Space-time covariances
- Response of linear systems to random excitation
- Impulse response and superposition
- Response to a random input
- Examples of response calculations
- Distribution function and probability density
- Characteristic function
- Joint distributions, conditional probability
- Central limit theorem
- The lognormal distribution
- 5. Flows that are homogeneous in more than one spatial dimension
- Some spatially homogeneous fields
- Isotropic turbulence
- 6. Waves
- Kinematic wave theory
- Effects of weak nonlinearity
- Modulational instability
- Soliton behavior
- Surface gravity waves
- Discussion
- 7. Instability and transition to turbulence
- Instability to small disturbances
- Universality in transition to chaos
- 8. Shear flow turbulence structure
- Boundary layer turbulence structure
- Theoretical model for wall layer bursting
- Structure of free-shear layers
- 9. Turbulence modeling and closure schemes
- Some turbulence models
- Closure schemes for spectral theories
- 10. Aerodynamic noise
- A linear acoustic field excited by turbulent fluctuations
- The far-field sound
- Similarity analysis for the emitted sound
- Effects of source motion and sound advection
- Effects of a nonuniform flow
- Instability of a supersonic jet, overreflection
- Instability of an isolated shear layer
- 11. Convective transport
- Nondimensional parameters characterizing convective transport
- Thermal convection without mean shear
- 12. Numerical simulation of turbulence
- Numerical techniques
- Some results from numerical simulation
- References
- Index