The Theory of Homogeneous Turbulence
Title | The Theory of Homogeneous Turbulence PDF eBook |
Author | G. K. Batchelor |
Publisher | Cambridge University Press |
Pages | 216 |
Release | 1953 |
Genre | Mathematics |
ISBN | 9780521041171 |
This is a reissue of Professor Batchelor's text on the theory of turbulent motion, which was first published by Cambridge Unviersity Press in 1953. It continues to be widely referred to in the professional literature of fluid mechanics, but has not been available for several years. This classic account includes an introduction to the study of homogeneous turbulence, including its mathematic representation and kinematics. Linear problems, such as the randomly-perturbed harmonic oscillator and turbulent flow through a wire gauze, are then treated. The author also presents the general dynamics of decay, universal equilibrium theory, and the decay of energy-containing eddies. There is a renewed interest in turbulent motion, which finds applications in atmospheric physics, fluid mechanics, astrophysics, and planetary science.
Homogeneous Turbulence Dynamics
Title | Homogeneous Turbulence Dynamics PDF eBook |
Author | Pierre Sagaut |
Publisher | Springer |
Pages | 912 |
Release | 2018-03-23 |
Genre | Science |
ISBN | 3319731629 |
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.
The Theory of Homogeneous Turbulence
Title | The Theory of Homogeneous Turbulence PDF eBook |
Author | G. K. Batchelor |
Publisher | |
Pages | |
Release | 1982 |
Genre | |
ISBN |
The theory of homogeneous turbulence
Title | The theory of homogeneous turbulence PDF eBook |
Author | George K. Batcheler |
Publisher | |
Pages | 1982 |
Release | 1967 |
Genre | |
ISBN |
The Theory of Homogeneous Turbulence
Title | The Theory of Homogeneous Turbulence PDF eBook |
Author | George Keith Batchelor |
Publisher | |
Pages | 197 |
Release | 1990 |
Genre | Fluid mechanics |
ISBN |
The Theory of Homogeneous Turbulence, By G.K. Batchelor
Title | The Theory of Homogeneous Turbulence, By G.K. Batchelor PDF eBook |
Author | George Keith Batchelor |
Publisher | |
Pages | 197 |
Release | 1960 |
Genre | Fluid dynamics |
ISBN |
Navier-Stokes Turbulence
Title | Navier-Stokes Turbulence PDF eBook |
Author | Wolfgang Kollmann |
Publisher | Springer Nature |
Pages | 744 |
Release | 2019-11-21 |
Genre | Science |
ISBN | 3030318699 |
The book serves as a core text for graduate courses in advanced fluid mechanics and applied science. It consists of two parts. The first provides an introduction and general theory of fully developed turbulence, where treatment of turbulence is based on the linear functional equation derived by E. Hopf governing the characteristic functional that determines the statistical properties of a turbulent flow. In this section, Professor Kollmann explains how the theory is built on divergence free Schauder bases for the phase space of the turbulent flow and the space of argument vector fields for the characteristic functional. Subsequent chapters are devoted to mapping methods, homogeneous turbulence based upon the hypotheses of Kolmogorov and Onsager, intermittency, structural features of turbulent shear flows and their recognition.