About this book
This book provides state-of-the-art results and theories in homogeneous turbulence, including anisotropy and compressibility effects with extension to quantum turbulence, magneto-hydodynamic turbulence and turbulence in non-newtonian fluids. Each chapter is devoted to a given type of interaction (strain, rotation, shear, etc.), and presents and compares experimental data, numerical results, analysis of the Reynolds stress budget equations and advanced multipoint spectral theories. The role of both linear and non-linear mechanisms is emphasized. The link between the statistical properties and the dynamics of coherent structures is also addressed. Despite its restriction to homogeneous turbulence, the book is of interest to all people working in turbulence, since the basic physical mechanisms which are present in all turbulent flows are explained. The reader will find a unified presentation of the results and a clear presentation of existing controversies. Special attention is given to bridge the results obtained in different research communities. Mathematical tools and advanced physical models are detailed in dedicated chapters.
Homogeneous Isotropic Turbulence Homogenous Anisotropic Turbulence Rapid Distortion Theory Navier-Stokes equations magnetohydronamic turbulence Reynolds Stress Tensor compressible turbulence viscoelastic turbulence canonical isotropic turbulence isotropic quantum turbulence Waleffe's instability Burgers turbulence EDQNM turbulence QNSE theory Helmholtz decomposition von Karman flow Boussinesq approximations Comte-Bellot Corrsin theory Rankine-Hugoniot conditions Wave-turbulence theory