## The Physics of Fluid TurbulenceThis book provides an in-depth look at fluid turbulence: the archetypal non-linear, non-equilibrium problem of statistical physics which has witnessed significant progress in recent years, facilitated by advances in laser anemometry, computer technology, and theoretical methods from quantum physics. A fully integrated work, The Physics of Fluid Turbulence approaches its subject as a universal phenomenon with a universal behavior. It includes a concise summary of the theory and practice of turbulence science up to 1960, followed by a detailed analysis of more recent developments in this area, including a rigorous formulation of the turbulence problem as an example of a non-equilibrium statistical system with strong coupling, along with the application of renormalized perturbation theory. Designed for those new to the subject, the book will also be useful to those who are familiar with the study of turbulence but have not yet approached the subject utilizing the theoretical methods from quantum physics that are covered here. |

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### Contents

SOME RECENT DEVELOPMENTS IN THE STUDY | 88 |

STATISTICAL FORMULATION OF THE GENERAL PROBLEM 154 4 STATISTICAL FORMULATION OF THE GENERAL PROBLEM | 154 |

RENORMALIZED PERTURBATION THEORY AND | 184 |

Copyright | |

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### Common terms and phrases

applied approach approximation average becomes begin boundary calculation Chapter coefficient condition consider constant correlation defined dependence derive detail diagrams diffusion direction discussed dissipation distribution drag effect energy equation example expansion experimental expressed fact factor flow fluctuations fluid fluid Mech follows forces formalism Fourier function give given hence integral interactions interest introduce isotropic Kolmogorov Kraichnan later layer limit mean measured method modes motion Navier-Stokes equation non-linear obtain operator particle particular perturbation Phys physical pipe polymer practice present probability problem procedure properties random range reduced referred relationship renormalized represented requirement respect response result Reynolds number satisfy scales seen shown simulation solution space spectral spectrum statistical step structure substitute tensor theory tion transfer transform turbulence variables various velocity field viscosity wavenumbers write zero