**Statistical
Mechanics of Turbulent Flows**

Heinz, S. 2003 Statistical Mechanics of Turbulent Flows. Springer-Verlag, Berlin, Heidelberg, New York, Tokyo (ISBN: 3-540-40103-2).

The simulation of turbulent reacting flows, connected with environmental protection and the design of chemical and mechanical processes, is increasingly important. Statistical Mechanics of Turbulent Flows presents a modern overview of basic ways to calculate such flows. It discusses the fundamental problems related to the use of basic equations and their modifications. Special emphasis is placed on the discussion of very promising statistical methods which provide solutions to these problems by models for the underlying stochastic physics of turbulent reacting flows. Their foundations and important new developments up through current challenges are systematically explained. Students and researchers in atmospheric sciences and oceanography, mechanical and chemical engineering and applied mathematics and physics may use Statistical Mechanics of Turbulent Flows as a guide to solve many problems related, e.g. to the assessment of complex atmospheric chemistry, chemical reactor processes, turbulent combustion, and multi-phase flows. |

Reviews:

- Grossmann, S. 2004 Statistical Mechanics of Turbulent Flow: Book Review. European Journal of Mechanics B/Fluids 23, 795–796.
- Cambon, C. 2004 Statistical Mechanics of Turbulent Flow: Book Review. J. Phys. A: Math. Gen. 37, 9603-9604.
- Buckingham, A. C. 2004 Statistical Mechanics of Turbulent Flow: Book Review. Appl. Mech. Rev. 57, B28-B29.

"To summarise, this is a monograph on the method of stochastic modelling of turbulent fluid flow, comprising the necessary prerequisites and the main features of the method, up to the present research level. It deserves attention by the specialists and the beginners as well and has useful applications. It is clearly presented, with careful argumentation and interesting scientific contents. The book's use is nicely supported by an extended list of all symbols and abbreviations and, of course, with references. The reviewer can well recommend it."

"This book offers a timely survey of techniques in modern computational fluid mechanics for turbulent flows with reacting scalars. It should be of interest to engineers, while the discussion of the underlying tools, namely pdfs, stochastic and statistical equations should also be attractive to applied mathematicians and physicists. The book's emphasis on local pdfs and stochastic Langevin models gives a consistent structure to the book and allows the author to cover almost the whole spectrum of practical modelling in turbulent CFD. ... In short, the book is orientated more towards applications than towards turbulence theory; it is written clearly and concisely and should be useful to a large community, interested either in the underlying stochastic formalism or in CFD applications."

"The book, within the constraints of size does provide a valuable survey of stochastic turbulent flow procedures supplementary to and in comparison with more conventional closure procedures. Considering the book's relatively modest price it would be a useful addition for personal as well as institutional acquisition."

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