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2015 | Buch

Turbulence

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This book covers the major problems of turbulence and turbulent processes, including physical phenomena, their modeling and their simulation.

After a general introduction in Chapter 1 illustrating many aspects dealing with turbulent flows, averaged equations and kinetic energy budgets are provided in Chapter 2. The concept of turbulent viscosity as a closure of the Reynolds stress is also introduced. Wall-bounded flows are presented in Chapter 3 and aspects specific to boundary layers and channel or pipe flows are also pointed out. Free shear flows, namely free jets and wakes, are considered in Chapter 4. Chapter 5 deals with vortex dynamics. Homogeneous turbulence, isotropy and dynamics of isotropic turbulence are presented in Chapters 6 and 7. Turbulence is then described both in the physical space and in the wave number space. Time dependent numerical simulations are presented in Chapter 8, where an introduction to large eddy simulation is offered. The last three chapters of the book summarize remarkable digital techniques current and experimental. Many results are presented in a practical way, based on both experiments and numerical simulations.

The book is written for a advanced engineering students as well as postgraduate engineers and researchers. For students, it contains the essential results as well as details and demonstrations whose oral transmission is often tedious. At a more advanced level, the text provides numerous references which allow readers to find quickly further study regarding their work and to acquire a deeper knowledge on topics of interest.

Inhaltsverzeichnis

Frontmatter
Chapter 1. Introduction to Turbulence
Abstract
This first chapter illustrates the interest of turbulent flows. Numerous definitions and general concepts are introduced to characterize turbulence. Some practical consequences are also briefly described. On the whole, transport is very efficient in a turbulent flow, be it for momentum, mass or heat. Nonetheless, with this efficiency comes an increase in wall friction which is rarely sought. A few examples of the advantages and drawbacks of the turbulent regime are given.
Christophe Bailly, Geneviève Comte-Bellot
Chapter 2. Statistical Description of Turbulent Flows
Abstract
This chapter focuses on the statistical approach to turbulence. On the one hand, it seeks to describe the evolution of mean and turbulent fields, and on the other, to highlight the transfer terms between these two fields.
Christophe Bailly, Geneviève Comte-Bellot
Chapter 3. Wall-Bounded Turbulent Flows
Abstract
Wall turbulent flows are constrained by the presence of at least one rigid wall, which imposes a no-slip boundary condition at its surface.
Christophe Bailly, Geneviève Comte-Bellot
Chapter 4. Free Turbulent Flows: Jets and Wakes
Abstract
In this chapter, self-similar solutions of free subsonic jets and wakes are established. These solutions can be used to characterize some properties of the mean turbulent flow itself, to assess turbulence models, and also to provide an analytical solution for the mean flow field under some assumptions. The development of a round jet flow is first described, results for a plane jet are then briefly reported, round and plane wake flows are then examined in the two last sections.
Christophe Bailly, Geneviève Comte-Bellot
Chapter 5. Vortex Dynamics
Abstract
A statistical approach to turbulence was adopted in Chap. 2, in which averaged Navier-Stokes equations were considered.
Christophe Bailly, Geneviève Comte-Bellot
Chapter 6. Homogeneous and Isotropic Turbulence
Abstract
The study of homogeneous and isotropic turbulence is very rewarding for two reasons. On the one hand, it is possible to do an important part of it analytically, and on the other hand, the smallest turbulent structures in most turbulent flows have an almost isotropic behaviour. It is hoped that these small structures, often not represented in numerical simulations, can be modelled correctly. Turbulence is described both in the physical space and in the wavenumber space.
Christophe Bailly, Geneviève Comte-Bellot
Chapter 7. The Dynamics of Isotropic Turbulence
Abstract
It has been shown in Chap. 6 how the description of an isotropic turbulent field can be simplified for an incompressible flow. In physical space, only one scalar function \(f(r)\) is necessary to describe the two-point velocity correlations \(R_{ij}({\varvec{r}})\). In the Fourier space, only the turbulent kinetic energy spectrum \(E(k)\) is necessary to describe the corresponding velocity spectral tensor \(\phi _{ij}({\varvec{k}})\). In this chapter, we consider how these functions \(E(k)\) and \(f(r)\) evolve with time in a decaying turbulent field.
Christophe Bailly, Geneviève Comte-Bellot
Chapter 8. Direct and Large Eddy Simulation of Turbulent Flows
Abstract
An overview of high-fidelity numerical simulation techniques is presented in this chapter. Advantages and limitations are discussed for research or engineering purposes. These time-dependent approaches are distinguished from mean flow calculations based on the averaged Navier-Stokes equations, which are examined in Chap. 9.
Christophe Bailly, Geneviève Comte-Bellot
Chapter 9. Turbulence Models
Abstract
This chapter focuses on turbulent models, which are widely used in a large variety of engineering studies, including atmospheric dynamics and weather forecasting. The objective is to determine the turbulent mean flow from the averaged equations (2.​14) and (2.​15) established in Chap. 2. A turbulence model is however required to express the unknown Reynolds stress tensor. The most popular approaches are based on Boussinesq’s hypothesis (2.​24) with the introduction of a turbulent viscosity. A survey of these so-called eddy-viscosity models is presented in this chapter.
Christophe Bailly, Geneviève Comte-Bellot
Chapter 10. Experimental Methods
Abstract
Three methods are frequently used to measure turbulent flows: thermal anemometry, laser Doppler anemometry and particle image velocimetry.
Christophe Bailly, Geneviève Comte-Bellot
Backmatter
Metadaten
Titel
Turbulence
verfasst von
Christophe Bailly
Geneviève Comte-Bellot
Copyright-Jahr
2015
Electronic ISBN
978-3-319-16160-0
Print ISBN
978-3-319-16159-4
DOI
https://doi.org/10.1007/978-3-319-16160-0

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