Turbulence in Fluids is an attempt to reconcile the  theory of turbulence, too often presented in a formal, isolated  mathematical context, with the general theory of fluid dynamics. It  reviews, in a unifying manner, the main characteristics and general  theorems of rotational fluids (liquids or gases), with applications to  aerodynamics and geophysical fluid dynamics. Emphasis is placed both  on unpredictability, mixing, and coherent vortices or structures.  Transition to turbulence in wall or free-shear flows is considered  both on the basis of linear-instability theory and of experiments or  numerical simulations. Thermal convection is also studied.   This third edition presents in a synthetic manner coherent vortices  existing both in free or wall-bounded shear flows and in isotropic  turbulence. A new mechanics of elementary vortices is built, involving  spirals, dipoles, pairings, dislocations, longitudinal hairpins,  streaks... It is seen how turbulence topology reacts to the action of  stable stratification, rotation, separation or compressibility.   The book discusses the phenomenological theories of isotropic  turbulence and turbulent diffusion, both in Fourier and physical  spaces. It emphasizes the use of two-point closures and stochastic  models, a powerful tool allowing representation of strongly nonlinear  actions. The role of helicity is considered. A theory of spectral eddy  viscosity and backscatter is proposed. The latter phenomenon is shown  to govern inverse cascades of passive scalars and small-scale  uncertainty. The Renormalization-Group techniques are assessed.   The concept of two-dimensional turbulence is looked at, as the  simplest approximation of large-scale atmosphere and ocean dynamics.  The latter is also studied using geostrophic-turbulence theory. New  ideas on cyclogenesis in thermal fronts are presented.   Numerous experimental, environmental and aerodynamic examples are  provided. A systematic recourse is made to direct and  large-eddy-numerical simulations (LES) as a tool for exploring  turbulence media. A complete account of the latest dynamic and  selective LES techniques is given in this edition.   This monograph is a unique tool for graduate students and researchers  in mechanical and aerospace engineering, applied mathematics, physics,  meteorology, oceanography and astrophysics. It views the problem of  turbulence in a very general way: statistical theories, intermittency,  transition, coherent structures, singularities, unpredictability or  deterministic chaos are only small pieces of the same puzzle, which  have to be assembled.

Turbulence in Fluids, Third (Fluid Mechanics and Its Applications) PDF

The list of books you might like