Vorticity and Turbulence (Applied Mathematical Sciences) (v. 103) [Hardcover]

Alexandre J. Chorin (Author)

Book Description

ISBN-10: 0387941975 | ISBN-13: 978-0387941974 | Publication Date: June 24, 1994

This book provides an introduction to turbulence in vortex systems, and to turbulence theory for incompressible flow described in terms of the vorticity field. It is the author's hope that by the end of the book the reader will believe that these subjects are identical, and constitute a special case of fairly standard statistical mechanics, with both equilibrium and non-equilibrium aspects. The author's main goal is to relate turbulence to statistical mechanics. The book is organized as follows: the first three chapters constitute a fairly standard introduction to homogeneous turbulence in incompressible flow; a quick review of fluid mechanics; a summary of the appropriate Fourier theory; a summary of Kolmogorov's theory of the inertial range. The next four chapters present the statistical theory of vortex notion, and the vortex dynamics of turbulence. The book ends with the major conclusion that turbulence can no longer be viewed as incomprehensible. This book will be appropriate for professionals in the fields of applied mathematics, mechanical engineering, or physics, as well as graduate students in these noted areas.

Product Details

• Hardcover: 182 pages
• Publisher: Springer (June 24, 1994)
• Language: English
• ISBN-10: 0387941975
• ISBN-13: 978-0387941974
• Product Dimensions: 9.4 x 6.1 x 0.6 inches
• Shipping Weight: 1 pounds (View shipping rates and policies)
• Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #2,702,011 in Books (See Top 100 in Books)

More About the Author

Discover books, learn about writers, read author blogs, and more.

Customer Reviews

Most Helpful Customer Reviews

1 of 2 people found the following review helpful:

4.0 out of 5 stars Important text on turbulence, March 15, 2003

By 

Walter Reade (Appleton, WI United States) - See all my reviews

This review is from: Vorticity and Turbulence (Applied Mathematical Sciences) (v. 103) (Hardcover)

This is very good book for understanding the mathematical aspects of turbulence. The book is clearly written and is dense with information. Contents include equations of motion, random flow and its spectra, the Kolmogorov theory, equilibrium flow in spectral variables and in two space dimensions, vortex stretching, polymers, percolation, and renormalization, and vortex equilibria in three-dimensional space.