# The Mathematical Theory of Turbulence

Textbook

Part of the Universitext book series (UTX)

1. Front Matter
Pages i-xviii
2. ### Introduction

1. M. M. Stanišić
Pages 1-9
3. ### Classical Concepts in Turbulence Modeling

1. M. M. Stanišić
Pages 10-91
4. ### Statistical Theories in Turbulence

1. M. M. Stanišić
Pages 92-160
2. M. M. Stanišić
Pages 161-250
3. M. M. Stanišić
Pages 251-422
4. M. M. Stanišić
Pages 423-450
5. Back Matter
Pages 451-501

### Introduction

"I do not think at all that I am able to present here any procedure of investiga­ tion that was not perceived long ago by all men of talent; and I do not promise at all that you can find here anything_ quite new of this kind. But I shall take pains to state in clear words the pules and ways of investigation which are followed by ahle men, who in most cases are not even conscious of foZlow­ ing them. Although I am free from illusion that I shall fully succeed even in doing this, I still hope that the little that is present here may please some people and have some application afterwards. " Bernard Bolzano (Wissenschaftslehre, 1929) The following book results from aseries of lectures on the mathematical theory of turbulence delivered by the author at the Purdue University School of Aeronautics and Astronautics during the past several years, and represents, in fact, a comprehensive account of the author's work with his graduate students in this field. It was my aim in writing this book to give to engineers and scientists a mathematical feeling for a subject, which because of its nonlinear character has resisted mathematical analysis for many years. On account vii i of its refractory nature this subject was categorized as one of seven "elementary catastrophes". The material presented here is designed for a first graduate course in turbulence. The complete course has been taught in one semester.

### Keywords

Dissipation Navier-Stokes equation Phase dynamics fluid dynamics material mixing turbulence turbulent flow

#### Authors and affiliations

1. 1.School of Aeronautics and Astronautics Grissom HallPurdue UniversityWest LafayetteUSA

### Bibliographic information

• Book Title The Mathematical Theory of Turbulence
• Authors M.M. Stanisic
• Series Title Universitext
• DOI https://doi.org/10.1007/978-1-4612-3840-9
• Copyright Information Springer-Verlag New York 1988
• Publisher Name Springer, New York, NY
• eBook Packages
• Softcover ISBN 978-0-387-96685-4
• eBook ISBN 978-1-4612-3840-9
• Series ISSN 0172-5939
• Series E-ISSN 2191-6675
• Edition Number 2
• Number of Pages XVIII, 501
• Number of Illustrations 38 b/w illustrations, 0 illustrations in colour
• Topics
• Buy this book on publisher's site
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