## Turbulence: Introduction to Theory and Applications of Turbulent FlowsThis book provides a general introduction to the topic of turbulent flows. Apart from classical topics in turbulence, attention is also paid to modern topics. After studying this work, the reader will have the basic knowledge to follow current topics on turbulence in scientific literature. The theory is illustrated with a number of examples of applications, such as closure models, numerical simulations and turbulent diffusion, and experimental findings. The work also contains a number of illustrative exercises Review from the Textbook & Academic Authors Association that awarded the book with the 2017 Most Promising New Textbook Award: “Compared to other books in this subject, we find this one to be very up-to-date and effective at explaining this complicated subject. We certainly would highly recommend it as a text for students and practicing professionals who wish to expand their understanding of modern fluid mechanics.” |

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### Contents

1 | |

9 | |

3 Stability and Transition | 19 |

5 Statistical Description of Turbulence | 75 |

6 Turbulent Flows | 87 |

7 Kinetic Energy | 125 |

8 Vorticity | 151 |

9 Correlation Function and Spectrum | 183 |

10 Turbulent Diffusion | 215 |

Turbulence | 232 |

Appendix AEquations of Motion | 233 |

Appendix BSpecial Topics | 235 |

267 | |

273 | |

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### Common terms and phrases

advection average basis boundary conditions boundary layer Burgers equation channel flow characteristic closure hypothesis consider constant convective correlation function defined deformation density Derive described diffusion dimensionless direct numerical simulation discussed dissipation drag reduction dynamics enstrophy equations of motion example experimental data flow geometry follows friction homogeneous illustrated in Fig inertial subrange initial and boundary integration isotropic isotropic turbulence K-theory Kelvin–Helmholtz instability kinetic energy Kolmogorov laminar length scale linear logarithmic logistic map Lorenz equations mean velocity profile measurement microscale microstructure molecular Navier–Stokes equations Newtonian fluid Nieuwstadt nonlinear particle perturbations pipe flow polymer problem referred relation represents result Reynolds number Reynolds stress Sect shear so-called solution spatial spectrum structure tensor transport term turbulent flow turbulent kinetic energy uiuj unstable vector velocity components velocity field velocity fluctuations velocity scale viscous viscous sublayer vorticity wall